Properties

Label 55470ba
Number of curves $1$
Conductor $55470$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("55470.z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.z1 55470ba1 [1, 1, 1, 9367920, 380006493297] [] 19514880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470ba1 has rank \(0\).

Modular form 55470.2.a.z

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} - q^{12} + 7q^{13} - q^{14} - q^{15} + q^{16} - 4q^{17} + q^{18} - q^{19} + O(q^{20}) \)