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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 66759.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66759.g1 | 66759j1 | \([0, 1, 1, 5259, -626128]\) | \(55648414859264/621508960611\) | \(-179616089616579\) | \([]\) | \(165888\) | \(1.4161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66759.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66759.g do not have complex multiplication.Modular form 66759.2.a.g
sage: E.q_eigenform(10)