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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 381150.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.bg1 | 381150bg1 | \([1, -1, 0, 4878, 374996]\) | \(10733445/57344\) | \(-68572165939200\) | \([]\) | \(1597440\) | \(1.3370\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150.bg do not have complex multiplication.Modular form 381150.2.a.bg
sage: E.q_eigenform(10)