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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 328560.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.bd1 | 328560bd1 | \([0, -1, 0, 25714840, 95033742192]\) | \(3532642667/9375000\) | \(-4990530808130956800000000\) | \([]\) | \(55240704\) | \(3.4228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.bd do not have complex multiplication.Modular form 328560.2.a.bd
sage: E.q_eigenform(10)