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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 9680.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9680.u1 | 9680v1 | \([0, 1, 0, -377560, 96850708]\) | \(-616295051/64000\) | \(-618121839509504000\) | \([]\) | \(114048\) | \(2.1530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9680.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9680.u do not have complex multiplication.Modular form 9680.2.a.u
sage: E.q_eigenform(10)