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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 308550.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.bd1 | 308550bd1 | \([1, 1, 0, 3985375, 3665827125]\) | \(190010204749/267386880\) | \(-9851316817182720000000\) | \([]\) | \(21288960\) | \(2.9058\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 308550.bd do not have complex multiplication.Modular form 308550.2.a.bd
sage: E.q_eigenform(10)