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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 89232.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89232.u1 | 89232bc1 | \([0, -1, 0, -90640, 10483264]\) | \(703971110401/3897234\) | \(455921255522304\) | \([]\) | \(481536\) | \(1.6556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89232.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 89232.u do not have complex multiplication.Modular form 89232.2.a.u
sage: E.q_eigenform(10)