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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 58800cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.iu1 | 58800cz1 | \([0, 1, 0, 2917, 26088]\) | \(358400/243\) | \(-1860468750000\) | \([]\) | \(57600\) | \(1.0430\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800cz do not have complex multiplication.Modular form 58800.2.a.cz
sage: E.q_eigenform(10)