Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("55545.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.i1 55545b1 [0, -1, 1, -621011791, -7509852593853] [] 31530240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545b1 has rank \(1\).

Modular form 55545.2.a.i

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{4} - q^{5} + q^{7} + q^{9} - 4q^{11} + 2q^{12} + q^{13} + q^{15} + 4q^{16} - 3q^{17} + 8q^{19} + O(q^{20}) \)