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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 115520.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
115520.b1 | 115520bh1 | \([0, 0, 0, -1101772, -475301264]\) | \(-11993263569/972800\) | \(-11997343393198899200\) | \([]\) | \(6082560\) | \(2.4072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115520.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 115520.b do not have complex multiplication.Modular form 115520.2.a.b
sage: E.q_eigenform(10)