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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 281775.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.bg1 | 281775bg1 | \([0, 1, 1, 57, 6374]\) | \(32768/28431\) | \(-17460187875\) | \([]\) | \(232960\) | \(0.64428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 281775.bg do not have complex multiplication.Modular form 281775.2.a.bg
sage: E.q_eigenform(10)