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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 9680z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9680.t1 | 9680z1 | \([0, 1, 0, -40, -332]\) | \(-14641/80\) | \(-39649280\) | \([]\) | \(2304\) | \(0.14203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9680z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9680z do not have complex multiplication.Modular form 9680.2.a.z
sage: E.q_eigenform(10)