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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 112632u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112632.z1 | 112632u1 | \([0, 1, 0, -3116272, 2828500448]\) | \(-5064278294/2302911\) | \(-1521911907901306202112\) | \([]\) | \(5216640\) | \(2.7711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112632u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112632u do not have complex multiplication.Modular form 112632.2.a.u
sage: E.q_eigenform(10)