Properties

Label 223146.cn
Number of curves $1$
Conductor $223146$
CM no
Rank $0$

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

Elliptic curves in class 223146.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
223146.cn1 223146eg1 \([1, -1, 0, -558315, -752421447]\) \(-224412099736609/2722801160772\) \(-233524093813711805412\) \([]\) \(13160448\) \(2.5901\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 223146.cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 223146.cn do not have complex multiplication.

Modular form 223146.2.a.cn

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 4 q^{5} - q^{8} - 4 q^{10} + q^{11} + q^{13} + q^{16} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display