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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 289578.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
289578.b1 | 289578b1 | \([1, 1, 0, -943157, 352666053]\) | \(-3843995587427449/6390046584\) | \(-154240190334514296\) | \([]\) | \(4967424\) | \(2.1940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289578.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 289578.b do not have complex multiplication.Modular form 289578.2.a.b
sage: E.q_eigenform(10)