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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 352800.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.bd1 | 352800bd1 | \([0, 0, 0, -16375800, -44255918000]\) | \(-88478050816/102942875\) | \(-565056708693624000000000\) | \([]\) | \(46448640\) | \(3.2517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800.bd do not have complex multiplication.Modular form 352800.2.a.bd
sage: E.q_eigenform(10)