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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 429429cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.cz1 | 429429cz1 | \([1, 1, 0, 504, 24237]\) | \(24167/441\) | \(-257563355049\) | \([]\) | \(508032\) | \(0.86999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 429429cz do not have complex multiplication.Modular form 429429.2.a.cz
sage: E.q_eigenform(10)