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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 163254cz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 163254.h1 | 163254cz1 | \([1, 1, 0, -6658603, -4864414979]\) | \(40024541162402329/10645281916416\) | \(8683683492926285415936\) | \([]\) | \(12220416\) | \(2.9181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254cz do not have complex multiplication.Modular form 163254.2.a.cz
sage: E.q_eigenform(10)