Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("55545.n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.n1 55545k1 [0, 1, 1, -61, -230] [] 9216 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545k1 has rank \(0\).

Modular form 55545.2.a.n

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