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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 190575.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.cz1 | 190575dy1 | \([1, -1, 0, 81108, 49107141]\) | \(24167/441\) | \(-1076781598340765625\) | \([]\) | \(2737152\) | \(2.1405\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575.cz do not have complex multiplication.Modular form 190575.2.a.cz
sage: E.q_eigenform(10)