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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 3200.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3200.z1 | 3200n1 | \([0, 0, 0, -25, 50]\) | \(-21600\) | \(-80000\) | \([]\) | \(672\) | \(-0.29571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3200.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3200.z do not have complex multiplication.Modular form 3200.2.a.z
sage: E.q_eigenform(10)