Properties

Label 55545.m
Number of curves 1
Conductor 55545
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("55545.m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.m1 55545e1 [0, -1, 1, -1173935, 617639573] [] 1370880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545.m1 has rank \(1\).

Modular form 55545.2.a.m

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