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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 363726u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.u1 | 363726u1 | \([1, -1, 0, -594072, 176391760]\) | \(-17953855881625/264528\) | \(-341629438903632\) | \([]\) | \(4055040\) | \(1.9264\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 363726u do not have complex multiplication.Modular form 363726.2.a.u
sage: E.q_eigenform(10)