Properties

Label 226576cw
Number of curves $1$
Conductor $226576$
CM no
Rank $1$

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

Elliptic curves in class 226576cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226576.bg1 226576cw1 \([0, -1, 0, -4720, -114337]\) \(12544\) \(927268850704\) \([]\) \(229632\) \(1.0397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226576cw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 226576cw do not have complex multiplication.

Modular form 226576.2.a.cw

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} + 3 q^{11} - 6 q^{13} - q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display