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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 786g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
786.h1 | 786g1 | \([1, 0, 1, -103, -406]\) | \(119168121961/804864\) | \(804864\) | \([]\) | \(264\) | \(-0.032312\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 786g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 786g do not have complex multiplication.Modular form 786.2.a.g
sage: E.q_eigenform(10)