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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 7488.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7488.u1 | 7488ca1 | \([0, 0, 0, -588, -5744]\) | \(-235298/13\) | \(-1242169344\) | \([]\) | \(3840\) | \(0.50285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7488.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7488.u do not have complex multiplication.Modular form 7488.2.a.u
sage: E.q_eigenform(10)