Properties

Label 155526cw
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

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

Elliptic curves in class 155526cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.f1 155526cw1 \([1, 1, 0, 316067, 80397661]\) \(68769820673/94610592\) \(-4803976741768946784\) \([]\) \(2534400\) \(2.2704\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526cw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155526cw do not have complex multiplication.

Modular form 155526.2.a.cw

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} + q^{13} + q^{15} + q^{16} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display