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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 311696.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 311696.bd1 | 311696bd1 | \([0, -1, 0, 3348, 57103]\) | \(146377472/136367\) | \(-3865319342192\) | \([]\) | \(460800\) | \(1.1025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 311696.bd do not have complex multiplication.Modular form 311696.2.a.bd
sage: E.q_eigenform(10)