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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 116380h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116380.g1 | 116380h1 | \([0, -1, 0, 515070, -64773503]\) | \(524386048/366025\) | \(-10548270446591913200\) | \([]\) | \(2331648\) | \(2.3387\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116380h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116380h do not have complex multiplication.Modular form 116380.2.a.h
sage: E.q_eigenform(10)