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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 34914.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 34914.bd1 | 34914z1 | \([1, 0, 0, -34925, 2339223]\) | \(31824875809/2409066\) | \(356628226969674\) | \([]\) | \(152064\) | \(1.5374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34914.bd do not have complex multiplication.Modular form 34914.2.a.bd
sage: E.q_eigenform(10)