Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("55545.h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.h1 55545z1 [1, 0, 0, 955, 88650] [] 100800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545.h1 has rank \(1\).

Modular form 55545.2.a.h

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} + q^{7} + 3q^{8} + q^{9} - q^{10} - 5q^{11} - q^{12} + q^{13} - q^{14} + q^{15} - q^{16} - q^{18} - 5q^{19} + O(q^{20}) \)