For a given elliptic Weirestrass curve having a prime degree, how to create a Weil Descent ?
A Weil descent is for creating a hyperelliptic curve cover for making discrete logarithm easier on a class of curve. The aim is for a given curve to create a hyperelleptic curve which is equivalent.
In magma this is very simple : just use the Weil_descent function that handle even prime degree with large characteristics cases. But as I no longer have a license, what’s the equivalent SageMath function ?
At very least Sage has access to Magma free online calculator: https://doc.sagemath.org/html/en/refe...