Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("55470.g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.g1 55470f1 [1, 0, 1, -110979, -122464844] [] 1061928 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470f1 has rank \(0\).

Modular form 55470.2.a.g

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} + 4q^{11} + q^{12} - 3q^{13} - q^{15} + q^{16} + 3q^{17} - q^{18} + 4q^{19} + O(q^{20}) \)