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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 3380.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3380.b1 | 3380j1 | \([0, 0, 0, -2197, 28561]\) | \(89856/25\) | \(326292288400\) | \([]\) | \(7488\) | \(0.91652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3380.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3380.b do not have complex multiplication.Modular form 3380.2.a.b
sage: E.q_eigenform(10)