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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 230640.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230640.u1 | 230640u1 | \([0, -1, 0, -3129336, -2405634960]\) | \(-932288503609/148800000\) | \(-540920003513548800000\) | \([]\) | \(8294400\) | \(2.7064\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 230640.u do not have complex multiplication.Modular form 230640.2.a.u
sage: E.q_eigenform(10)