Properties

Label 55545n
Number of curves 1
Conductor 55545
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("55545.x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.x1 55545n1 [0, 1, 1, -23429586, 61040931995] [] 12055680 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545n1 has rank \(0\).

Modular form 55545.2.a.x

sage: E.q_eigenform(10)
 
\( q + 2q^{2} + q^{3} + 2q^{4} - q^{5} + 2q^{6} + q^{7} + q^{9} - 2q^{10} + 4q^{11} + 2q^{12} - q^{13} + 2q^{14} - q^{15} - 4q^{16} - 5q^{17} + 2q^{18} - 6q^{19} + O(q^{20}) \)