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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 30960bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30960.v1 | 30960bg1 | \([0, 0, 0, 2277, -10422]\) | \(437245479/268750\) | \(-802483200000\) | \([]\) | \(30720\) | \(0.97341\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30960bg do not have complex multiplication.Modular form 30960.2.a.bg
sage: E.q_eigenform(10)