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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 25410g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25410.g1 | 25410g1 | \([1, 1, 0, -573058, -8680835852]\) | \(-1421509920358606969/2222549728809984000\) | \(-32540350579506975744000\) | \([]\) | \(2227680\) | \(2.9987\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25410g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25410g do not have complex multiplication.Modular form 25410.2.a.g
sage: E.q_eigenform(10)