Properties

Label 5610.y
Number of curves $1$
Conductor $5610$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 5610.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5610.y1 5610w1 \([1, 1, 1, -86, 13223]\) \(-70393838689/75905555220\) \(-75905555220\) \([]\) \(5600\) \(0.76674\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5610.y do not have complex multiplication.

Modular form 5610.2.a.y

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