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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 29400.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 29400.bd1 | 29400v1 | \([0, -1, 0, -1841583, -982059588]\) | \(-46028377077760/1162261467\) | \(-17441186139168750000\) | \([]\) | \(547200\) | \(2.4762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29400.bd do not have complex multiplication.Modular form 29400.2.a.bd
sage: E.q_eigenform(10)