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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 122018bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122018.v1 | 122018bg1 | \([1, 0, 0, -2990712, 2115424336]\) | \(-77086633/5776\) | \(-221664225993342120976\) | \([]\) | \(8087040\) | \(2.6525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122018bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122018bg do not have complex multiplication.Modular form 122018.2.a.bg
sage: E.q_eigenform(10)