Properties

Label 11200.cn
Number of curves $1$
Conductor $11200$
CM no
Rank $1$

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

Elliptic curves in class 11200.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.cn1 11200cj1 \([0, 1, 0, -1883, 30863]\) \(-738763264/875\) \(-875000000\) \([]\) \(4608\) \(0.62737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.cn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11200.cn do not have complex multiplication.

Modular form 11200.2.a.cn

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