Properties

Label 55545.r
Number of curves 1
Conductor 55545
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("55545.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.r1 55545s1 [0, 1, 1, -32445, 2536256] [] 211968 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545.r1 has rank \(0\).

Modular form 55545.2.a.r

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