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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 429429bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.bd1 | 429429bd1 | \([1, 0, 0, -1288713, -629546334]\) | \(-1890625/273\) | \(-34178233498753401057\) | \([]\) | \(8692992\) | \(2.4788\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 429429bd do not have complex multiplication.Modular form 429429.2.a.bd
sage: E.q_eigenform(10)