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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 59840.bi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 59840.bi1 | 59840i1 | \([0, -1, 0, -4421, 167645]\) | \(-583396135936/390460675\) | \(-6397307699200\) | \([]\) | \(107520\) | \(1.1580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59840.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59840.bi do not have complex multiplication.Modular form 59840.2.a.bi
sage: E.q_eigenform(10)