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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 417450g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
417450.g1 | 417450g1 | \([1, 1, 0, 2660425, 6362463375]\) | \(601852914307/5400684234\) | \(-18686799926307175781250\) | \([]\) | \(40320000\) | \(2.9548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 417450g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 417450g do not have complex multiplication.Modular form 417450.2.a.g
sage: E.q_eigenform(10)