Properties

Label 55545c
Number of curves 1
Conductor 55545
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("55545.l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.l1 55545c1 [0, -1, 1, -52186555, -179120478597] [] 7392000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545c1 has rank \(1\).

Modular form 55545.2.a.l

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