Properties

Label 5610u
Number of curves $1$
Conductor $5610$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("5610.s1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5610u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
5610.s1 5610u1 [1, 0, 1, 777, -123494] [] 15840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610u1 has rank \(1\).

Modular form 5610.2.a.s

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