kummer-notes-code

Notes and code from my early research in Kummer Theory for Elliptic Curves.
git clone https://git.tronto.net/kummer-notes-code
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test-cm-rank.sage (523B)

      1 def 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, ")"