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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 77616.ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77616.ba1 | 77616co1 | \([0, 0, 0, -73502499, 242550002009]\) | \(-93303976999933696/2910897\) | \(-1370114017631107056\) | \([]\) | \(6021120\) | \(2.9841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77616.ba do not have complex multiplication.Modular form 77616.2.a.ba
sage: E.q_eigenform(10)