Properties

Label 430950.cz
Number of curves $1$
Conductor $430950$
CM no
Rank $2$

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Show commands: 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)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} + q^{9} - 5 q^{11} + q^{12} + q^{14} + q^{16} - q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display