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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 350658.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.b1 | 350658b1 | \([1, -1, 0, -5588226, -5108303084]\) | \(-14943832855786297/85501108224\) | \(-110421942585298477056\) | \([]\) | \(15974400\) | \(2.6877\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.b do not have complex multiplication.Modular form 350658.2.a.b
sage: E.q_eigenform(10)