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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 112632.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112632.u1 | 112632g1 | \([0, 1, 0, 792, -40743]\) | \(500000000/6908733\) | \(-758191994352\) | \([]\) | \(115200\) | \(0.96025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112632.u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 112632.u do not have complex multiplication.Modular form 112632.2.a.u
sage: E.q_eigenform(10)