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Elliptic Curves over Function Fields
New Features:
- The routine EllipticCurveSearch performs a search for elliptic curves
with given conductor (or conductors in a given set) defined over
Fq(t)
.
The amount of effort used in the search is specified by the user.
The user may also specify some traces of Frobenius, when known, which
greatly speeds up the search. The algorithm is nontrivial, and the
implementation is carefully tuned.
- TraceOfFrobenius has been added for curves over
Fq(t)
.
Changes:
- For an elliptic curve over a rational function field F
,
Conductor now returns a sequence of places and multiplicities.
Previously it returned the conductor as a divisor over a trivial
extension of F
.
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