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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 430950.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.cz1 | 430950cz1 | \([1, 0, 1, -2526, -632552]\) | \(-674636521/65025000\) | \(-171706640625000\) | \([]\) | \(1520640\) | \(1.4110\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.cz1 has rank \(2\).
Complex multiplication
The elliptic curves in class 430950.cz do not have complex multiplication.Modular form 430950.2.a.cz
sage: E.q_eigenform(10)