Properties

Label 183920.cz
Number of curves $1$
Conductor $183920$
CM no
Rank $0$

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

Elliptic curves in class 183920.cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
183920.cz1 183920bv1 \([0, 0, 0, -92323, 11529122]\) \(-11993263569/972800\) \(-7058942119116800\) \([]\) \(2703360\) \(1.7873\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 183920.cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 183920.cz do not have complex multiplication.

Modular form 183920.2.a.cz

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} - 5 q^{7} + 6 q^{9} + q^{13} - 3 q^{15} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display