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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 369600.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.cz1 | 369600cz1 | \([0, -1, 0, -2060833, -1139290463]\) | \(-9452623635625/12201882\) | \(-1249472716800000000\) | \([]\) | \(8755200\) | \(2.3800\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.cz do not have complex multiplication.Modular form 369600.2.a.cz
sage: E.q_eigenform(10)