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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 265200.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.z1 | 265200z1 | \([0, -1, 0, 20667, 869037]\) | \(122023936/112047\) | \(-896376000000000\) | \([]\) | \(1209600\) | \(1.5564\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 265200.z do not have complex multiplication.Modular form 265200.2.a.z
sage: E.q_eigenform(10)