1 | initial version |
I assume that you mean elliptic curves over Q.
I would do two or three things. First, wrap your call to E.rank() in a try/except block to catch cases where an error is raised. Second, create an E.mwrank_curve() object, which you can ask its rank and ask whether the reault os proved correct (thish is delivered by mwrank):
sage: E = EllipticCurve([0,0,1,-7,6]) sage: Em = E.mwrank_curve() sage: Em.rank() 3 sage: Em.certain() True
sage: E = EllipticCurve([0, -1, 1, -929, -10595]) sage: Em = E.mwrank_curve() sage: Em.rank() 0 sage: Em.certain() False
In the second example, the rank really is 0 but E has Sha of order 4 and mwrank is not able to tell the difference.
I hope this helps.
2 | No.2 Revision |
I assume that you mean elliptic curves over Q.ℚ.
I would do two or three things. First, wrap your call to E.rank() E.rank()
in a try/except block to catch cases where an error is raised. Second, create an E.mwrank_curve() E.mwrank_curve()
object, which you can ask its rank and ask whether the reault os result is proved correct (thish (this is delivered by mwrank):mwrank
):
sage: E = EllipticCurve([0,0,1,-7,6])
sage: Em = E.mwrank_curve()
sage: Em.rank()
3
sage: Em.certain()
In the second example, the rank really is 0 0
but E E
has Sha Sha
of order 4 4
and mwrank mwrank
is not able to tell the difference.
I hope this helps.