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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 36414.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.cz1 | 36414cx1 | \([1, -1, 1, 169699, -88979547]\) | \(150900148890919/1041386274432\) | \(-3729805128621339264\) | \([]\) | \(680960\) | \(2.2452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414.cz do not have complex multiplication.Modular form 36414.2.a.cz
sage: E.q_eigenform(10)