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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). |

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