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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 476850.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.bd1 | 476850bd1 | \([1, 1, 0, -38938061125, 5696569637378125]\) | \(-17311437234395043487224049/27152400000000000000000\) | \(-10240514508056250000000000000000000\) | \([]\) | \(3750727680\) | \(5.2173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850.bd do not have complex multiplication.Modular form 476850.2.a.bd
sage: E.q_eigenform(10)