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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 113288bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
113288.bd1 | 113288bb1 | \([0, 0, 0, -2023, 34391]\) | \(48384\) | \(18923854096\) | \([]\) | \(120960\) | \(0.76225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 113288bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 113288bb do not have complex multiplication.Modular form 113288.2.a.bb
sage: E.q_eigenform(10)