Properties

Label 133952.cn
Number of curves $1$
Conductor $133952$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 133952.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133952.cn1 133952bi1 \([0, -1, 0, -1268293, 550187421]\) \(13770918300093568000/31622653517\) \(518105555222528\) \([]\) \(1305600\) \(2.0670\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133952.cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 133952.cn do not have complex multiplication.

Modular form 133952.2.a.cn

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