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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 19600.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.z1 | 19600y1 | \([0, 1, 0, 572, 3303]\) | \(1280\) | \(-16141442800\) | \([]\) | \(10752\) | \(0.64672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19600.z do not have complex multiplication.Modular form 19600.2.a.z
sage: E.q_eigenform(10)