Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("55470.n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.n1 55470l1 [1, 0, 1, -269993, 52450556] [] 866880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470l1 has rank \(1\).

Modular form 55470.2.a.n

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