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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 32340bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 32340.bb1 | 32340bd1 | \([0, 1, 0, -51221, 40899879]\) | \(-205520896/9882675\) | \(-714652436841235200\) | \([]\) | \(362880\) | \(2.1059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340bd do not have complex multiplication.Modular form 32340.2.a.bd
sage: E.q_eigenform(10)