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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 207576.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207576.b1 | 207576x1 | \([0, 0, 0, -11532, -595820]\) | \(-3072\) | \(-55209828987648\) | \([]\) | \(725760\) | \(1.3494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207576.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207576.b do not have complex multiplication.Modular form 207576.2.a.b
sage: E.q_eigenform(10)