Properties

Label 55545.s
Number of curves 1
Conductor 55545
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("55545.s1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.s1 55545y1 [0, 1, 1, 15430225, 52499028281] [] 4942080 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545.s1 has rank \(1\).

Modular form 55545.2.a.s

sage: E.q_eigenform(10)
 
\( q + q^{3} - 2q^{4} + q^{5} + q^{7} + q^{9} - q^{11} - 2q^{12} + q^{15} + 4q^{16} - 2q^{17} + 3q^{19} + O(q^{20}) \)