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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 147294.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.bg1 | 147294a1 | \([1, -1, 1, 31963, 498845]\) | \(17537639/10688\) | \(-2200920591296448\) | \([]\) | \(1391040\) | \(1.6332\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147294.bg do not have complex multiplication.Modular form 147294.2.a.bg
sage: E.q_eigenform(10)