# Elliptic curves downloaded from the LMFDB downloaded on 30 January 2019. # Below is a list called data. Each entry has the form: # [a1,a2,a3,a4,a6] (Weierstrass Coefficients) data = [\ [1,1,0,-82,-305],\ [0,0,1,-1,0],\ [0,0,0,1,6],\ [0,1,0,0,4],\ [1,1,1,-55,134],\ [1,1,0,-6,4],\ [1,0,1,1,0],\ [1,1,0,1,1],\ [1,1,0,-7,5],\ [1,0,0,-1,2],\ [1,-1,1,-2,0],\ [0,1,1,-1,-1],\ [0,-1,1,-1,-2],\ [0,0,1,-3,0],\ [0,0,1,-3,2],\ [0,-1,1,2,-2],\ [0,1,1,-12,2],\ [0,1,0,0,1],\ [0,1,0,2,0],\ [1,1,0,3,-3],\ [0,0,0,-1,1],\ [0,-1,0,16,0],\ [0,0,0,1,-1],\ [0,-1,1,-19,39],\ [0,-1,0,4,-8],\ [1,1,1,-102,355],\ [1,1,0,7,-9],\ [0,1,1,-441,3422],\ [1,0,0,-7,9],\ [0,0,1,-21,40],\ [0,0,0,-412,3316],\ [0,-1,0,-9,13],\ [0,1,0,-57,171],\ [1,-1,1,25,-26],\ [0,-1,0,3,-11],\ [0,-1,0,3,-2],\ [1,-1,0,13,-11],\ [0,0,0,-7,-2],\ [1,1,1,-39,-35],\ [0,-1,1,19,100],\ [1,-1,1,-7,8],\ [1,0,1,-15,22],\ [1,1,0,-33,61],\ [1,-1,0,-15,-46],\ [1,-1,0,-19,37],\ [0,1,0,11,695],\ [1,0,1,-7,14],\ [0,1,0,3,11],\ [1,0,1,-2,1],\ [1,-1,1,-2,28],\ [0,1,0,0,-1],\ [0,0,1,-12,4],\ [1,-1,0,21,53],\ [1,-1,0,-935,11229],\ [1,1,0,-2819,-58803],\ [1,1,1,-784,8720],\ [0,0,0,1,1],\ [0,0,0,-8,16],\ [1,1,1,-8,9],\ [1,-1,0,12,-208],\ [0,-1,0,-383,3012],\ [0,1,0,6,-43],\ [1,1,0,81,-27],\ [0,-1,0,-10,17],\ [0,1,1,1815,141239],\ [1,-1,0,-2,1],\ [1,-1,0,-4,-2],\ [0,0,0,-6,5],\ [1,-1,0,-18,36],\ [0,-1,0,-13,25],\ [0,-1,0,-12,24],\ [0,-1,0,-80,304],\ [0,0,0,-2,4],\ [1,-1,1,8,-5],\ [1,1,1,-9,7],\ [0,-1,0,-544,-4352],\ [1,-1,0,90,436],\ [0,0,1,1,-8],\ [1,1,1,-120,42282],\ [1,1,1,9,13],\ [1,0,0,-185,1401],\ [0,1,1,-4,-2],\ [1,1,1,-17,-70],\ [0,0,0,2,1],\ [1,1,0,-12,12],\ [1,1,1,-18,415],\ [0,-1,0,4,-3],\ [1,-1,1,-374,2949],\ [1,-1,1,-171,1904],\ [1,-1,0,-1414,-44027],\ [1,-1,1,-12,18],\ [0,1,1,-1006,11952],\ [0,0,1,-111,450],\ [1,-1,0,0,2],\ [0,1,0,-233,1563],\ [0,0,0,-8,9],\ [0,0,1,43,-2088],\ [1,1,0,-1,-2],\ [0,1,1,9,344],\ [1,0,1,-1,1],\ [0,0,0,-27,27],\ [1,-1,1,2064,18771],\ [0,1,1,-16649,821406],\ [0,1,0,-11,11],\ [0,0,1,-4,-3],\ [1,0,1,-10758,428760],\ [1,0,1,1,1],\ [0,0,1,-12,9],\ [0,0,1,242,-333],\ [1,0,1,-722,7396],\ [1,0,1,706,-64375],\ [1,0,1,-17,56],\ [1,0,1,31,20],\ [1,-1,0,-3,-1],\ [1,-1,0,-2430,46732],\ [0,0,0,1468,-2844],\ [1,-1,1,-11,27],\ [1,0,1,6,1],\ [0,1,0,1,2],\ [0,-1,1,-2,2],\ [0,-1,0,-4,5],\ [0,0,0,-67,226],\ [1,1,0,-59,-201],\ [1,-1,0,-70,244],\ [0,1,0,-1,1],\ [0,0,1,-5,4],\ [0,1,1,0,2],\ [1,1,0,-512,4237],\ [0,-1,1,1,-1],\ [1,0,0,31,-192],\ [0,0,1,-75,256],\ [0,1,0,-1,31],\ [0,-1,1,-4,-2],\ [0,1,1,-10,10],\ [1,0,1,2,0],\ [0,-1,0,-432,-3316],\ [1,1,1,2,-1],\ [0,-1,1,-83,3818],\ [1,0,1,-3,0],\ [0,1,0,84,36],\ [0,1,1,-156,700],\ [1,1,1,-56,-135],\ [0,-1,0,-1,2],\ [0,-1,1,2,0],\ [0,-1,1,1,0],\ [1,1,1,13,177],\ [1,0,0,-19,33],\ [1,-1,0,-1,1],\ [1,0,0,-5,4],\ [0,0,1,-3,4],\ [0,-1,0,8,-4],\ [0,1,0,-3,-2],\ [0,1,0,1,1],\ [1,0,0,-1,0],\ [0,0,0,-12,20],\ [0,0,0,-2,0],\ [1,0,0,-12,16],\ [1,1,0,2,1],\ [1,-1,1,0,0],\ [0,-1,1,10,6],\ [1,-1,0,-80,-256],\ [0,-1,0,-16,29],\ [1,0,0,-6,9],\ [1,0,0,1,25],\ [0,0,0,-584,5444],\ [1,-1,0,1,-1],\ [0,-1,1,-5,6],\ [1,1,0,-794,8289],\ [1,-1,0,1,1],\ [1,0,0,-2,1],\ [1,-1,0,12,35],\ [1,0,0,-6,4],\ [0,0,0,-55,157],\ [1,0,0,-3,2],\ [0,0,1,-81,290],\ [1,1,1,-2,0],\ [0,1,1,-100,406],\ [1,1,0,-30,52],\ [0,-1,0,0,1],\ [1,-1,0,-20,40],\ [0,1,0,-21,31],\ [1,-1,0,0,4],\ [0,0,1,-3,18],\ [0,-1,0,55,93],\ [1,1,1,6,7],\ [0,0,1,-237,1404],\ [1,0,0,-2,-1],\ [1,1,0,2,2],\ [1,1,0,-3,1],\ [0,-1,0,-45,133],\ [1,-1,1,-5,20],\ [1,0,0,-3,-2],\ [0,0,1,-3,-2],\ [0,-1,0,4,4],\ [1,0,1,1,-5],\ [0,1,1,1,1],\ [1,0,0,-213,-1208],\ [1,1,1,-1,0],\ [1,0,1,-23,39],\ [0,1,1,-2376,-61851],\ [0,-1,0,-21,49],\ [1,-1,0,0,1],\ [1,-1,0,-454,5812],\ [1,-1,1,-12,15],\ [0,-1,0,-8,16],\ [0,-1,0,0,4],\ [0,0,1,-9,10],\ [0,1,0,-50,129],\ [1,-1,1,-4,-1],\ [1,0,0,-24,63],\ [1,0,0,0,-1],\ [1,-1,0,-5252,-145223],\ [0,-1,1,-26,68],\ [1,-1,1,-1487,-12905],\ [0,0,0,5,10],\ [1,-1,1,-2,82],\ [0,0,1,-597,8820],\ [0,-1,1,-52,-3863],\ [0,-1,1,-3,2],\ [1,0,0,-3,0],\ [1,1,0,-35,-98],\ [1,-1,0,-5,7],\ [1,-1,1,-149,749],\ [1,0,0,-28,-59],\ [1,-1,1,-117,141],\ [0,1,1,-8,8],\ [0,0,0,-48,196],\ [0,-1,0,2,1],\ [1,1,1,-16,-15],\ [1,1,0,-715,7069],\ [0,-1,0,-1,197],\ [0,1,0,-16,16],\ [1,-1,1,-83,595],\ [0,1,1,-2,-2],\ [1,0,0,43,-31],\ [1,1,1,79,335],\ [1,-1,1,13,-12],\ [1,-1,0,-29,-635],\ [1,-1,0,-2846,59156],\ [1,0,0,-350,2500],\ [1,-1,0,1,-3],\ [1,0,1,-80,-275],\ [1,1,1,4,-1443],\ [0,0,1,3,-4],\ [1,0,1,-8,7],\ [1,1,1,-5,11],\ [1,0,1,-174,880],\ [1,1,1,-3,0],\ [1,-1,1,-61,197],\ [1,-1,0,16,-10],\ [0,-1,0,-3,4],\ [0,1,0,-17,51],\ [1,-1,1,318,-2367],\ [1,0,1,-604,-5734],\ [0,1,1,-11,-16],\ [1,1,0,28,157],\ [1,1,0,0,1],\ [1,1,1,66,-5],\ [0,0,0,-13,-18],\ [0,0,1,175,-1344],\ [1,-1,0,-107,454],\ [1,-1,1,-2,-26],\ [1,0,1,-32,-71],\ [1,1,1,64,258],\ [0,0,0,-17,27],\ [1,1,0,-2,-2],\ [0,-1,0,-1,-1],\ [1,1,0,-97,281],\ [0,0,1,-40,48],\ [1,0,1,-44,-150],\ [1,0,1,-9,28],\ [1,0,0,-11,14],\ [1,-1,0,11,-18],\ [1,-1,1,1,-2],\ [1,1,1,-56,1145],\ [0,0,0,5,-6],\ [1,-1,0,-153,4909],\ [0,0,0,-8,4],\ [0,1,0,8,89],\ [1,0,1,0,-1],\ [1,-1,1,22,105],\ [1,1,1,-70,195],\ [1,-1,1,-509,4677],\ [1,-1,0,-9,-19],\ [0,0,0,-4,4],\ [1,-1,0,12,-19],\ [1,-1,1,-9,9],\ [1,-1,0,-9,-14],\ [0,-1,0,-5,1],\ [1,1,1,-12,45],\ [0,-1,1,-7,10],\ [0,1,0,-8,8],\ [1,-1,1,12,87],\ [1,1,1,1,0],\ [0,0,0,5,42],\ [0,-1,0,-4,8],\ [1,1,0,25,-14],\ [1,0,1,33924,-387702],\ [1,0,1,-1,148],\ [1,0,1,-4,-2],\ [0,1,1,-269,1628],\ [1,-1,0,1,5],\ [0,1,1,-16,-66],\ [1,1,0,-1693,26434],\ [0,0,0,4,-4],\ [0,1,0,-4,0],\ [1,-1,0,-42,-127],\ [1,1,0,-108,-432],\ [1,-1,1,7,-7],\ [0,0,1,-4,3],\ [0,0,1,-808,8840],\ [0,0,0,-192,1028],\ [1,-1,0,-45,139],\ [0,1,1,-179,881],\ [0,1,1,0,0],\ [0,0,0,-68,-236],\ [0,-1,0,3,9],\ [0,0,1,-8,-12],\ [1,0,0,-267,1521],\ [1,0,1,11,0],\ [1,0,1,4,2],\ [1,-1,1,-15,87],\ [0,0,0,-56,-4848],\ [0,0,0,-10,12],\ [0,0,0,-5,4],\ [1,1,0,-1,-1],\ [0,0,0,8,4],\ [1,1,1,0,-2],\ [1,1,1,-26,39],\ [1,0,0,-4,-5],\ [0,-1,0,2,-7],\ [0,-1,1,-1,1],\ [0,1,1,-399,-3184],\ [0,0,0,-484,-5324],\ [0,0,1,1,0],\ [0,1,0,-309,1991],\ [1,-1,1,-48,147],\ [1,-1,0,-5,-3],\ [1,-1,0,18,202],\ [0,0,0,-3,14],\ [0,0,1,-2,1],\ [1,0,1,170,-3237],\ [0,-1,0,-23,51],\ [1,0,0,-1,-64],\ [0,1,0,-6,4],\ [0,0,1,-10,12],\ [1,1,0,2,4],\ [1,-1,1,-28,63],\ [0,-1,1,-6,8],\ [0,1,0,160,3188],\ [1,1,1,-5,0],\ [0,1,1,7,2],\ [1,-1,1,-57,222],\ [1,1,0,-3,-9],\ [1,0,0,-42,36],\ [0,-1,1,-1,0],\ [0,-1,0,-16,32],\ [1,0,1,-44,106],\ [0,-1,1,-8,-82],\ [1,1,1,-118,418],\ [0,-1,0,-140,753],\ [1,0,1,-193,1012],\ [0,1,0,-158,-812],\ [1,-1,0,-2,2],\ [0,1,0,-1,3],\ [1,0,1,-48,-130],\ [1,1,1,10,11],\ [0,0,1,2,0],\ [1,-1,0,-9,-54],\ [0,-1,1,-5781,175862],\ [1,1,0,52,-176],\ [1,0,0,-120,576],\ [1,1,0,-27,-59],\ [0,0,0,-13,18],\ [0,1,0,0,-76],\ [1,1,1,-21,27],\ [1,0,0,-36,81],\ [1,0,0,-1415,20617],\ [1,1,1,-861,9267],\ [1,0,0,-247,809],\ [0,-1,0,-6,9],\ [0,0,0,32,-212],\ [1,1,0,-8,6],\ [0,1,0,-5,-1],\ [1,1,1,-230,1251],\ [1,-1,0,-5,6],\ [0,0,0,4,4],\ [1,-1,0,44,496],\ [1,1,1,24,-23],\ [1,1,0,-13,13],\ [0,0,0,-3,34],\ [1,1,0,-75,250],\ [0,1,0,7,7],\ [1,-1,1,0,3],\ [0,1,1,-197,-208],\ [0,0,1,-2,2],\ [0,1,1,-42,110],\ [0,1,1,-2,2],\ [1,1,1,-7,-3],\ [0,1,1,3,7],\ [0,1,0,-2,9],\ [0,-1,0,-1,5],\ [1,1,1,-11,9],\ [1,0,0,-1,9],\ [0,-1,0,-3,3],\ [0,-1,0,-33,85],\ [0,0,0,-7,7],\ [0,0,1,-2,-1],\ [1,1,0,-22,-44],\ [0,-1,1,-5,-16],\ [0,0,1,6,13],\ [0,1,1,-6,2],\ [0,0,1,49,-86],\ [1,1,1,-1001,12375],\ [1,1,1,-21,-5],\ [1,1,0,-2,-12],\ [1,0,0,4,-3],\ [0,1,1,-1,1],\ [0,0,1,-38,90],\ [1,-1,1,1,7],\ [1,1,1,1,2],\ [0,1,1,-310,3364],\ [1,-1,1,-14,-16],\ [1,-1,1,-2,2],\ [0,-1,0,-221,-1191],\ [1,1,1,1,5],\ [1,1,0,-4,2],\ [1,1,1,-539,4592],\ [0,1,0,-5,7],\ [1,1,1,-32,65],\ [1,-1,1,-118,2693],\ [1,-1,1,1,0],\ [0,1,1,2,0],\ [1,-1,1,-5,6],\ [1,1,1,2,0],\ [0,0,0,-48,-124],\ [1,-1,0,-495,-4118],\ [1,0,1,32,-210],\ [0,-1,0,-45,25],\ [1,-1,0,-2,4],\ [1,0,1,-103,-406],\ [0,1,0,8,4],\ [1,-1,0,3,-10],\ [1,1,1,-4,-4],\ [1,-1,1,13,1235],\ [1,-1,0,9,4],\ [1,-1,0,3,0],\ [0,-1,1,-10,16],\ [0,1,0,-1621,24623],\ [1,-1,1,-4,7],\ [0,1,1,10,44],\ [1,-1,0,-24990,1526804],\ [0,0,0,-3,322],\ [1,1,1,-2,15],\ [1,1,1,-14,75],\ [1,-1,1,4,-34],\ [0,0,0,24,16],\ [1,1,1,-4,-3],\ [1,1,1,126,1167],\ [0,1,1,4,14],\ [0,-1,0,11,-47],\ [0,1,0,-15,25],\ [1,0,1,-57,-164],\ [0,0,1,-3,22],\ [0,-1,0,7,-3],\ [1,-1,1,0,2],\ [1,0,1,0,10],\ [0,1,0,3,-9],\ [1,-1,0,66,116],\ [0,-1,0,56,-1415],\ [0,1,1,-1,-4],\ [0,1,0,-61,-205],\ [1,-1,0,-67,216],\ [1,-1,1,-41,105],\ [1,-1,0,135,-243],\ [1,0,1,-5,2],\ [0,-1,0,-61,205],\ [0,-1,0,-20,40],\ [1,-1,1,-248,1563],\ [0,-1,0,-1373,-19191],\ [1,-1,0,-54,-243],\ [0,0,0,-187,991],\ [0,0,0,-5,2],\ [1,0,1,6,-20],\ [1,-1,0,-1773,63909],\ [1,-1,0,8,291],\ [1,-1,1,51,117],\ [0,1,0,-400,-3308],\ [0,1,0,-276,1676],\ [1,1,1,-2460,45949],\ [0,1,1,-33,94],\ [1,-1,0,-117,166],\ [1,0,0,-65,201],\ [0,-1,0,-36,232],\ [1,1,1,-5,3],\ [0,0,0,1,-6],\ [1,0,1,-1,4],\ [0,1,1,79,-214],\ [0,1,0,-4,-8],\ [0,1,0,0,-16],\ [1,0,1,-22,40],\ [1,1,0,1,-1],\ [0,1,0,0,16],\ [1,-1,1,-55,72],\ [0,1,1,-18,24],\ [0,0,1,-1507,4209],\ [0,0,0,-8,-16],\ [0,-1,0,-28,68],\ [1,0,1,-539,4765],\ [1,-1,1,-1,17],\ [1,-1,1,-5,2],\ [0,1,0,-1,51],\ [0,-1,1,23004,2393001],\ [0,0,0,800,26500],\ [0,0,0,5,-2],\ [1,-1,1,-26,57],\ [1,-1,0,0,-3],\ [1,-1,1,-514,4609],\ [0,1,1,-28,48],\ [0,1,0,-9,-13],\ [0,-1,0,-1,17],\ [1,1,0,-2,1],\ [1,1,1,4,-3],\ [1,1,0,13,13],\ [1,1,1,-42,87],\ [1,0,0,-86,292],\ [0,-1,0,-5,-19],\ [1,-1,0,-771,-8875],\ [1,-1,0,3,-2],\ [1,-1,0,-14,24],\ [0,0,1,18,-7],\ [0,1,1,-4758,128144],\ [1,1,0,5,4],\ [1,1,1,-101,299],\ [1,-1,0,0,-1],\ [1,-1,0,-990,-11745],\ [0,0,1,-2,0],\ [0,0,0,-5,5],\ [0,1,1,-116,444],\ [1,-1,1,-11,10],\ [0,-1,0,-88,349],\ [0,1,0,-440,3412],\ [1,1,1,-10,8],\ [1,0,0,-1,4],\ [1,-1,1,-12,36],\ [1,0,0,12,117],\ [1,-1,1,-13,21],\ [0,-1,0,-100,424],\ [1,0,0,2,1],\ [0,1,0,-1,-17],\ [0,-1,0,-5,9],\ [0,-1,0,-175,952],\ [1,-1,0,45,-203],\ [0,0,1,-5,10],\ [0,-1,0,1,1],\ [0,0,0,-125,625],\ [1,-1,1,-56,-134],\ [1,0,1,-3,30],\ [0,1,0,12,9],\ [0,1,1,10,-2],\ [0,1,0,8,-12],\ [0,-1,0,-48885,4176513],\ [1,0,0,-12,-16],\ [0,0,1,-19569,-4064513],\ [1,-1,1,3,69],\ [1,1,1,-91,297],\ [1,0,1,-46,-127],\ [1,-1,0,-96,-640],\ [0,-1,0,-5,-47],\ 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