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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 77616.co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77616.co1 | 77616u1 | \([0, 0, 0, 39837, 10935869]\) | \(137566156032/1096135733\) | \(-55710405871941744\) | \([]\) | \(516096\) | \(1.8947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616.co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77616.co do not have complex multiplication.Modular form 77616.2.a.co
sage: E.q_eigenform(10)