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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 118580.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118580.b1 | 118580bf1 | \([0, 0, 0, 189728, 96784996]\) | \(14155776/84035\) | \(-4483782325959453440\) | \([]\) | \(3427200\) | \(2.2608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118580.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118580.b do not have complex multiplication.Modular form 118580.2.a.b
sage: E.q_eigenform(10)