Properties

Label 126350cz
Number of curves $1$
Conductor $126350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cz1")
 
E.isogeny_class()
 

Elliptic curves in class 126350cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126350.cd1 126350cz1 \([1, -1, 1, -1621680, -858979053]\) \(-1026590625/100352\) \(-46104963380000000000\) \([]\) \(9290160\) \(2.5140\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126350cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 126350cz do not have complex multiplication.

Modular form 126350.2.a.cz

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{6} + q^{7} + q^{8} + 6 q^{9} - 5 q^{11} - 3 q^{12} - 6 q^{13} + q^{14} + q^{16} + q^{17} + 6 q^{18} + O(q^{20})\) Copy content Toggle raw display