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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 57222bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 57222.d1 | 57222bd1 | \([1, -1, 0, 28557, 18218709]\) | \(506447/28512\) | \(-144992848399030368\) | \([]\) | \(587520\) | \(1.9726\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57222bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57222bd do not have complex multiplication.Modular form 57222.2.a.bd
sage: E.q_eigenform(10)