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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 338100bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338100.bd1 | 338100bd1 | \([0, -1, 0, 467, -3863]\) | \(1433600/1587\) | \(-12442080000\) | \([]\) | \(193536\) | \(0.62354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100bd do not have complex multiplication.Modular form 338100.2.a.bd
sage: E.q_eigenform(10)