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2024-07-16 16:37:47 +0200 answered a question How to compute the order of the base point for a curve in twisted Edwards form ?

(This was cross-posted and answered here.)

2024-07-16 16:27:34 +0200 answered a question $2i$ map of an the elliptic curve over $F_p^2$ defined by $y^2=x^3+x$

sage: F = GF(127^2) sage: E = EllipticCurve(F, [1,0]) sage: i = E.automorphisms()[-1] sage: assert i^2 == -1 sage: endo

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2024-02-05 15:43:03 +0200 answered a question Frobenius Endomorphism of Finite field Elliptic curve for elements

Starting from Sage 9.8, you can simply write .frobenius_endomorphism() to construct the Frobenius endomorphism (over the

2024-02-05 15:43:03 +0200 answered a question Compute elements of n-torsion group of elliptic curve over finite field

Nowadays, you can use .division_field() to find the minimal extension where the full $\ell$-torsion is defined, and .tor

2024-02-05 15:43:03 +0200 answered a question Rational maps for a composed isogeny

Starting from Sage 9.8, writing f.rational_maps() just works.

2024-02-05 15:43:02 +0200 answered a question How to construct an isogeny [i] such that [i]^2= -1?

Starting from Sage 10.3, you can use next(a for a in E.automorphisms() if a^2 == -1).