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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 143745.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.u1 | 143745n1 | \([0, 1, 1, -24395, -1433101]\) | \(1172844765282304/37975888125\) | \(51988990843125\) | \([]\) | \(304128\) | \(1.4057\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745.u do not have complex multiplication.Modular form 143745.2.a.u
sage: E.q_eigenform(10)