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Hyperelliptic Curves
Removals and Changes:
- HyperellipticCurveFromIgusaClebsch now works over number fields.
New Features:
- A function TwoCoverDescent performs descent by 2-covers on a
hyperelliptic curve over a number field.
It returns the ``2-Selmer set'' of the curve.
(This is not the same as 2-descent on the Jacobian of the curve.)
If the 2-Selmer set is empty, the curve has no rational points.
It can be applied to hyperelliptic curves of degree 4, providing
a way to do 4-descent on elliptic curves over number fields.
Next: L-Series
Up: Arithmetic Geometry
Previous: Elliptic Curves over Finite
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