Properties

Label 55470v
Number of curves $1$
Conductor $55470$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("55470.q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.q1 55470v1 [1, 1, 1, -146, -721] [] 20160 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470v1 has rank \(1\).

Modular form 55470.2.a.q

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 3q^{7} + q^{8} + q^{9} - q^{10} + q^{11} - q^{12} - 6q^{13} - 3q^{14} + q^{15} + q^{16} + 6q^{17} + q^{18} + 2q^{19} + O(q^{20}) \)