Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 5610j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5610.j1 5610j1 \([1, 1, 0, -4242, 107316]\) \(-8444922396903721/253364474880\) \(-253364474880\) \([]\) \(10080\) \(0.96622\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610j1 has rank \(1\).

Complex multiplication

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

Modular form 5610.2.a.j

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