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authorSebastiano Tronto <sebastiano@tronto.net>2026-06-14 09:58:21 +0200
committerSebastiano Tronto <sebastiano@tronto.net>2026-06-14 09:58:21 +0200
commit5ea79c7ae0d44686f1df05c4a016652afbe58968 (patch)
tree05f6a052373f5fe0942777a48303b2f8b884cbe1 /misc_code/ugly_computations/cm
downloadkummer-notes-code-5ea79c7ae0d44686f1df05c4a016652afbe58968.tar.gz
kummer-notes-code-5ea79c7ae0d44686f1df05c4a016652afbe58968.zip
Initial commit
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-rwxr-xr-xmisc_code/ugly_computations/cm/cm-rank+-all.sage3361
-rwxr-xr-xmisc_code/ugly_computations/cm/test-cm-rank.sage16
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1
2# Elliptic curves downloaded from the LMFDB downloaded on 23 October 2019.
3# Below is a list called data. Each entry has the form:
4# [a1,a2,a3,a4,a6] (Weierstrass Coefficients)
5
6
7data = [\
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3340[0, 0, 1, 0, -16222344],\
3341[0, 0, 1, 0, 438003281],\
3342[0, 0, 0, 0, -4244832],\
3343[0, 0, 0, 0, 157216],\
3344[0, 0, 0, 0, -45435424],\
3345[0, 0, 0, 0, 1226756448],\
3346[0, 0, 0, 0, -249696],\
3347[0, 0, 0, 0, 9248],\
3348[0, 0, 0, 0, -72162144],\
3349[0, 0, 0, 0, 2672672],\
3350[0, 0, 0, 0, -544],\
3351[0, 0, 0, 0, 14688],\
3352[0, 0, 0, 0, -14688],\
3353[0, 0, 0, 0, 544],\
3354[0, 0, 0, 0, -2672672],\
3355[0, 0, 0, 0, 72162144],\
3356[0, 0, 0, 0, -9248],\
3357[0, 0, 0, 0, 249696],\
3358[0, 0, 0, 0, -1226756448],\
3359[0, 0, 0, 0, 45435424],\
3360[0, 0, 0, 0, -157216],\
3361[0, 0, 0, 0, 4244832]]
diff --git a/misc_code/ugly_computations/cm/test-cm-rank.sage b/misc_code/ugly_computations/cm/test-cm-rank.sage
new file mode 100755
index 0000000..7671838
--- /dev/null
+++ b/misc_code/ugly_computations/cm/test-cm-rank.sage
@@ -0,0 +1,16 @@
1def test():
2 attach("cm-rank+-all.sage")
3 no = 0
4 unk = 0
5 for cf in data:
6 E = EllipticCurve(cf)
7 E_K = E.base_extend(NumberField(x^2-E.cm_discriminant(),'a'))
8 try:
9 if E_K.rank() != 2* E.rank():
10 print "Non doubling:", cf, E.rank(), E_K.rank()
11 no += 1
12 except:
13 print "Can't compute the rank for", cf
14 unk += 1
15 print "Total ok curves:", (len(data)-(no+unk)), "/", len(data), \
16 "( unknown:", unk, ")"

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