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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 117117bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117117.f1 | 117117bg1 | \([0, 0, 1, -481143, -908461148]\) | \(-1593413632/45196767\) | \(-349401744651269649339\) | \([]\) | \(6469632\) | \(2.6224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117117bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 117117bg do not have complex multiplication.Modular form 117117.2.a.bg
sage: E.q_eigenform(10)