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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 327990.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.bg1 | 327990bg1 | \([1, 1, 1, 6870, -190473]\) | \(42637720316519/43875000000\) | \(-36898875000000\) | \([]\) | \(1010880\) | \(1.2901\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990.bg do not have complex multiplication.Modular form 327990.2.a.bg
sage: E.q_eigenform(10)