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Elliptic Curves over the Rational Field
New Features:
- Given the real and imaginary periods of a minimal model for an elliptic
curve over
Q
, the intrinsic EllipticCurveFromPeriods will return
the curve.
Changes and Removals:
- The extension of John Cremona's database for elliptic curves
over
Q
having conductor up to 300,000 has been installed.
- Renumbered 98 curves in the above database, as requested by John
Cremona, to reflect his desired new ordering. The affected curves
had conductors between 130,000 and 230,000.
Bug fixes:
- A bug has been fixed that could cause the order of a torsion point
on a non-integral elliptic curve over the rationals to be erroneously
reported as infinite.
- Saving a workspace when the elliptic curve database is around no
longer causes the database to return read errors thereafter.
- A bug has been fixed in the rank computation for elliptic curves with
no rational 2-torsion points. This bug could cause some covering
quartics to be erroneously discarded as not contributing to the
2-Selmer group, which in turn could cause the upper bound on the
rank to be incorrectly computed. In most instances an error message
or warning would highlight that this had occurred.
- Significant improvements and bug fixes have been made in EightDescent.
- A problem in TwoDescent has been fixed: for curves of large conductor
having one nontrivial 2-torsion point, computations got stuck due to bad
handling of power products.
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