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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 349830.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 349830.bd1 | 349830bd1 | \([1, -1, 0, -5476254315, 15980745457925]\) | \(5161630300553298943819449/2955706144768000000000\) | \(10400372556251762792448000000000\) | \([]\) | \(758661120\) | \(4.6413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 349830.bd do not have complex multiplication.Modular form 349830.2.a.bd
sage: E.q_eigenform(10)