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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 18097.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18097.b1 | 18097a1 | \([1, 1, 1, -54, 130]\) | \(17434421857/18097\) | \(18097\) | \([]\) | \(1776\) | \(-0.26537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18097.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18097.b do not have complex multiplication.Modular form 18097.2.a.b
sage: E.q_eigenform(10)