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Elliptic Curves over an Algebraic Number Field
New features:
- IsIntegralModel and IntegralModel for elliptic curves
over number fields.
- IsIntegralModel for elliptic curves at a given prime ideal of a number
field.
- Several functions have been provided which work with elliptic curves
over number fields. They are the Reduction of a curve at an ideal,
and the TorsionBound, pPowerTorsion and TorsionSubgroup
of a curve.
- For isogenies between elliptic curves defined over number fields,
SelmerGroup has been implemented. Accompanying this are the functions
IsogenyMu and RankBound.
- The functions
AbsoluteAlgebra, pSelmerGroup and
LocalTwoSelmerMap
have been provided for working with etale algebras.
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