Properties

Label 55545x
Number of curves 1
Conductor 55545
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("55545.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.b1 55545x1 [0, 1, 1, -4730, 118634] [] 153600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545x1 has rank \(2\).

Modular form 55545.2.a.b

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