# HG changeset patch
# User John Cremona <john.cremona@gmail.com>
# Date 1298432065 0
# Node ID f1d8c07018e8eac8ee705b562029dcbe1a093a2c
# Parent ec11b62f0270b890da3b9b2021aed9b30ed718ee
trac_10832 error in processing output from simon_two_descent
diff -r ec11b62f0270 -r f1d8c07018e8 sage/schemes/elliptic_curves/ell_rational_field.py
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| 1472 | 1472 | sage: set_random_seed(0) |
| 1473 | 1473 | sage: r, s, G = E.simon_two_descent(); r,s |
| 1474 | 1474 | (8, 8) |
| | 1475 | |
| | 1476 | Example from trac 10832:: |
| | 1477 | sage: E = EllipticCurve([1,0,0,-6664,86543]) |
| | 1478 | sage: E.simon_two_descent() |
| | 1479 | (2, 3, [(173 : 1943 : 1), (-73 : -394 : 1), (323/4 : 1891/8 : 1)]) |
| | 1480 | sage: E.rank() |
| | 1481 | 2 |
| | 1482 | sage: E.gens() |
| | 1483 | [(-73 : -394 : 1), (323/4 : 1891/8 : 1)] |
| | 1484 | |
| 1475 | 1485 | """ |
| 1476 | 1486 | t = simon_two_descent(self, verbose=verbose, lim1=lim1, lim3=lim3, limtriv=limtriv, |
| 1477 | 1487 | maxprob=maxprob, limbigprime=limbigprime) |
| … |
… |
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| 1479 | 1489 | two_selmer_rank = rings.Integer(t[1]) |
| 1480 | 1490 | gens_mod_two = [self(P) for P in t[2]] |
| 1481 | 1491 | if rank_low_bd == two_selmer_rank - self.two_torsion_rank(): |
| 1482 | | gens = [P for P in gens_mod_two if P.additive_order() != 2] |
| | 1492 | gens = [P for P in gens_mod_two if P.has_infinite_order()] |
| | 1493 | gens = self.saturation(gens)[0] |
| 1483 | 1494 | self.__gens[True] = gens |
| 1484 | 1495 | self.__gens[True].sort() |
| 1485 | 1496 | self.__rank[True] = len(self.__gens[True]) |