From 5ea79c7ae0d44686f1df05c4a016652afbe58968 Mon Sep 17 00:00:00 2001 From: Sebastiano Tronto Date: Sun, 14 Jun 2026 09:58:21 +0200 Subject: Initial commit --- l-multiples_l-torsion/bunch_of_curves.gp | 2022 ++++++++++++++++++++++++++++++ 1 file changed, 2022 insertions(+) create mode 100755 l-multiples_l-torsion/bunch_of_curves.gp (limited to 'l-multiples_l-torsion/bunch_of_curves.gp') diff --git a/l-multiples_l-torsion/bunch_of_curves.gp b/l-multiples_l-torsion/bunch_of_curves.gp new file mode 100755 index 0000000..e100c56 --- /dev/null +++ b/l-multiples_l-torsion/bunch_of_curves.gp @@ -0,0 +1,2022 @@ + +\\ Elliptic curves downloaded from the LMFDB downloaded on 31 January 2019. +\\ Below is a list called data. Each entry has the form: +\\ [a1,a2,a3,a4,a6] (Weierstrass Coefficients) + +\\~2000 curves with rank 1 and conductor <1000 + +data = [\ +[0,0,1,-1,0],\ +[0,1,1,0,0],\ +[1,-1,1,0,0],\ +[0,-1,1,-2,2],\ +[1,-1,0,-1,1],\ +[1,0,0,-2,1],\ +[1,0,0,-1,0],\ +[1,0,0,4,1],\ +[0,0,1,2,0],\ +[1,1,1,-2,0],\ +[1,0,1,-12,-16],\ +[1,0,1,-2,0],\ +[1,1,1,1,0],\ +[0,0,0,-4,4],\ +[1,1,1,-1,0],\ +[0,0,1,1,0],\ +[0,1,1,-117,-1245],\ +[0,1,1,-7,5],\ +[0,1,1,13,42],\ +[0,0,0,-1,1],\ +[1,-1,1,-17,30],\ +[1,-1,1,-2,0],\ +[0,1,1,-1,-1],\ +[1,1,0,-2,0],\ +[1,1,0,8,10],\ +[1,1,0,-7,5],\ +[0,1,0,-40,84],\ +[0,1,0,0,4],\ +[1,-1,1,-626,6180],\ +[1,-1,1,-176,-768],\ +[1,-1,1,-41,96],\ +[1,-1,1,4,6],\ +[1,1,0,1,1],\ +[0,-1,1,-887,-10143],\ +[0,-1,1,-7,10],\ +[1,0,1,2,0],\ +[0,1,1,-10,10],\ +[0,1,1,20,-890],\ +[0,-1,1,1,-1],\ +[0,1,0,-2,1],\ +[0,1,0,18,-11],\ +[0,1,0,-9,7],\ +[0,1,0,1,1],\ +[0,-1,1,-19,39],\ +[1,0,1,-208,-1122],\ +[1,0,1,-33,68],\ +[1,0,1,-13,156],\ +[1,0,1,112,-4194],\ +[0,-1,1,1,0],\ +[0,0,1,-3,4],\ +[0,1,0,-4,0],\ +[0,1,0,16,16],\ +[1,1,0,-31,55],\ +[1,1,0,-1,1],\ +[0,1,1,-12,2],\ +[0,-1,1,-1,0],\ +[1,1,0,-1,-1],\ +[1,-1,1,-12,15],\ +[0,-1,1,-1,-2],\ +[1,-1,1,-3,2],\ +[1,-1,1,2,6],\ +[0,-1,0,-5,1],\ +[0,1,0,-1,3],\ +[0,0,1,-3,2],\ +[0,0,1,-534,4752],\ +[0,0,1,6,27],\ +[1,-1,0,-469,4029],\ +[1,-1,0,-29,69],\ +[0,-1,1,-840,-9114],\ +[0,-1,1,10,6],\ +[0,-1,1,-1,1],\ +[0,-1,0,-20,-24],\ +[0,-1,0,-5,6],\ +[1,1,0,-3,1],\ +[1,-1,1,-9,9],\ +[0,1,0,-6,4],\ +[0,1,0,-1,15],\ +[1,-1,0,-6,8],\ +[1,-1,0,39,-19],\ +[0,0,1,-2,1],\ +[1,1,0,-6,4],\ +[1,0,1,-8,6],\ +[1,0,1,12,38],\ +[0,0,1,-6924,221760],\ +[0,0,1,-84,315],\ +[0,0,1,6,0],\ +[0,1,0,-13,15],\ +[0,1,0,67,79],\ +[0,-1,1,-148,748],\ +[0,-1,1,2,-2],\ +[0,-1,1,-3283,-74657],\ +[0,-1,1,-33,93],\ +[0,-1,1,217,-282],\ +[0,-1,0,-77,289],\ +[0,-1,0,3,1],\ +[0,-1,0,0,1],\ +[0,-1,0,-4,5],\ +[0,1,1,-156,700],\ +[0,-1,1,-5,6],\ +[1,0,1,-4,-3],\ +[1,0,1,1,-9],\ +[0,0,1,-3,0],\ +[0,0,1,-3834,-91375],\ +[0,0,1,-54,-88],\ +[0,0,1,-24,45],\ +[1,1,0,2,2],\ +[1,-1,1,-48,147],\ +[0,-1,0,-129,609],\ +[0,-1,0,-9,9],\ +[0,-1,0,-4,-2],\ +[0,-1,0,31,33],\ +[0,-1,0,-142,701],\ +[0,-1,0,-2,1],\ +[0,0,1,-5,4],\ +[1,-1,0,-3168,69430],\ +[1,-1,0,-198,1120],\ +[1,-1,0,-108,2074],\ +[1,-1,0,-18,4],\ +[0,1,0,-28,48],\ +[0,1,0,-3,-2],\ +[0,-1,1,2,0],\ +[1,0,0,-1,2],\ +[1,1,0,-794,8289],\ +[1,1,1,0,-2],\ +[1,-1,1,-232,-1286],\ +[1,-1,1,-27,26],\ +[1,-1,1,-22,44],\ +[1,-1,1,98,126],\ +[1,-1,1,-140,668],\ +[1,-1,1,-5,20],\ +[0,-1,0,-7352,245104],\ +[0,-1,0,-72,496],\ +[0,-1,0,8,-16],\ +[0,-1,0,-16,32],\ +[0,1,1,-27,55],\ +[0,1,1,193,-308],\ +[1,1,0,-373,2623],\ +[1,1,0,-23,33],\ +[1,1,0,-3,-3],\ +[1,1,0,7,147],\ +[0,-1,0,-4,8],\ +[1,0,1,1,0],\ +[1,0,1,-193,1012],\ +[1,0,0,-12,16],\ +[0,0,1,-8,-12],\ +[0,0,0,-12,20],\ +[1,0,0,-2,4],\ +[1,0,0,18,-104],\ +[0,-1,1,-6,8],\ +[0,1,1,-27,-85],\ +[0,1,1,3,2],\ +[1,1,0,-1297,-18530],\ +[1,1,0,-82,-305],\ +[0,1,0,-7100,-232652],\ +[0,1,0,-445,-3720],\ +[0,1,0,-100,-252],\ +[0,1,0,-45,100],\ +[0,1,0,-8,-8],\ +[0,1,0,2,0],\ +[0,0,1,-75,256],\ +[0,0,1,375,-12344],\ +[0,0,1,0,-34],\ +[0,0,1,0,1],\ +[1,0,0,-45,-119],\ +[1,0,0,-5,1],\ +[0,-1,0,3,9],\ +[1,0,0,-2,-1],\ +[0,-1,0,8,-4],\ +[1,-1,0,-63,209],\ +[1,-1,0,-3,5],\ +[1,1,1,-5,0],\ +[0,-1,0,-1,2],\ +[1,-1,0,-8,6],\ +[1,-1,0,2,0],\ +[1,0,0,-700,7056],\ +[1,0,0,-60,16],\ +[0,-1,0,-216,1296],\ +[0,-1,0,-136,-560],\ +[0,-1,0,-16,16],\ +[0,-1,0,4,0],\ +[1,0,0,-52,144],\ +[1,0,0,3,1],\ +[0,0,1,0,-1],\ +[0,0,1,0,20],\ +[0,0,0,1,6],\ +[0,0,1,-7,12],\ +[0,-1,1,-6435,210006],\ +[0,-1,1,-65,-204],\ +[0,-1,1,425,433],\ +[1,1,0,-66,180],\ +[1,1,0,-26,444],\ +[0,1,0,0,1],\ +[0,0,0,1,-1],\ +[1,1,1,-55,134],\ +[1,1,0,2,1],\ +[0,0,0,-327,2270],\ +[0,0,0,-12,65],\ +[1,-1,0,-5,-3],\ +[1,0,0,-24432,-1471934],\ +[1,0,0,-302,-2036],\ +[1,0,0,-22,36],\ +[0,1,0,-13,-21],\ +[0,1,0,-3,1],\ +[0,0,0,-2,0],\ +[0,0,0,8,0],\ +[1,1,0,3,-3],\ +[1,0,1,-15,22],\ +[1,-1,0,-2,2],\ +[1,0,0,1,25],\ +[1,-1,1,-138,656],\ +[1,-1,1,-133,702],\ +[0,0,1,-2,-1],\ +[0,1,0,-48,-140],\ +[0,1,0,-8,4],\ +[0,0,0,-1451,21274],\ +[0,0,0,-91,330],\ +[0,0,0,-11,-6],\ +[0,0,0,-11,890],\ +[0,-1,1,-26,68],\ +[1,-1,0,-2846,59156],\ +[1,-1,0,-2,0],\ +[1,-1,0,8,-6],\ +[1,0,0,-7,9],\ +[1,-1,1,-1480,22272],\ +[1,-1,1,-730,-7228],\ +[1,-1,1,-105,272],\ +[1,-1,1,20,22],\ +[1,0,1,0,-1],\ +[1,0,0,-1,9],\ +[0,0,0,-412,3316],\ +[0,-1,0,-1,5],\ +[1,1,1,-255,1461],\ +[1,1,1,-15,21],\ +[1,0,0,-76,-19],\ +[1,0,0,19,0],\ +[1,1,0,-93,-378],\ +[1,1,0,2,-17],\ +[1,1,0,-33,61],\ +[1,1,1,13,177],\ +[0,0,0,-12,0],\ +[0,0,0,3,0],\ +[0,0,0,-291,-1910],\ +[0,0,0,-156,736],\ +[0,0,0,-21,-20],\ +[0,0,0,69,-146],\ +[1,-1,1,-26209,-1626560],\ +[1,-1,1,-1644,-24922],\ +[1,-1,1,-199,-68272],\ +[1,-1,1,-199,510],\ +[1,-1,0,-70,-204],\ +[1,-1,0,10,-700],\ +[1,1,1,-18,-36],\ +[1,1,1,-3,0],\ +[1,0,1,-138,592],\ +[1,0,1,2,32],\ +[0,-1,0,-9,13],\ +[0,-1,0,-33,85],\ +[0,0,1,-81,290],\ +[1,-1,1,1,0],\ +[1,-1,0,12,-19],\ +[1,-1,0,1,-1],\ +[1,0,0,-19,33],\ +[0,-1,0,-13,22],\ +[0,-1,0,12,72],\ +[1,-1,1,0,3],\ +[1,1,1,-230,1251],\ +[1,1,1,1650,-27389],\ +[0,1,1,-6,2],\ +[0,1,1,-197,-208],\ +[0,1,0,-21,31],\ +[0,-1,0,-8,16],\ +[0,1,0,-1120,15604],\ +[0,1,0,0,-76],\ +[1,-1,0,-1017,8883],\ +[1,-1,0,-927,11097],\ +[1,-1,0,-387,-2835],\ +[1,-1,0,-27,-27],\ +[0,-1,0,-21,49],\ +[1,0,0,-6,9],\ +[1,0,0,-2046,15376],\ +[1,0,0,-1706,26980],\ +[1,0,0,-106,420],\ +[1,0,0,454,1876],\ +[0,-1,0,-3,0],\ +[0,-1,0,12,-12],\ +[0,1,0,-60,144],\ +[0,1,0,5,14],\ +[1,-1,0,13,-11],\ +[1,-1,1,-1013,12656],\ +[1,-1,1,-68,182],\ +[1,-1,1,-23,-34],\ +[1,-1,1,157,992],\ +[0,0,0,-7,-2],\ +[1,1,0,7,-9],\ +[1,1,1,-12,45],\ +[0,1,0,-165,763],\ +[0,1,0,-145,975],\ +[0,1,0,-5,-5],\ +[0,1,0,15,-17],\ +[0,0,0,-428,-3408],\ +[0,0,0,-28,-48],\ +[0,0,0,-8,8],\ +[0,0,0,52,-272],\ +[1,-1,0,-238,1470],\ +[1,-1,0,-8,44],\ +[1,0,0,-174,868],\ +[1,0,0,-14,4],\ +[0,0,0,-189,-999],\ +[0,0,0,-9,9],\ +[0,-1,1,-53,-132],\ +[0,-1,1,-3,3],\ +[0,1,1,-1333,-19131],\ +[0,1,1,-83,244],\ +[1,-1,0,-80,-256],\ +[1,0,0,-6,4],\ 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