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SageMath
E = EllipticCurve("eh1")
E.isogeny_class()
Elliptic curves in class 77616.eh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.eh1 | 77616g1 | \([0, 0, 0, 358533, -295268463]\) | \(137566156032/1096135733\) | \(-40612885880645531376\) | \([]\) | \(1548288\) | \(2.4440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616.eh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77616.eh do not have complex multiplication.Modular form 77616.2.a.eh
sage: E.q_eigenform(10)