Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("55470.v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.v1 55470u1 [1, 1, 1, 222305182134, 266453215936879959] [] 1974551040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470u1 has rank \(1\).

Modular form 55470.2.a.v

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