Properties

Label 223146cw
Number of curves $1$
Conductor $223146$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 223146cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
223146.p1 223146cw1 \([1, -1, 0, -51165, 44110597]\) \(-172715635009/9694992384\) \(-831501889900222464\) \([]\) \(2703360\) \(2.1184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 223146cw1 has rank \(1\).

Complex multiplication

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

Modular form 223146.2.a.cw

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - q^{11} - 3 q^{13} + q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display