Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("5610.l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5610o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
5610.l1 5610o1 [1, 0, 1, -91939, -29111074] [] 73440 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610o1 has rank \(1\).

Modular form 5610.2.a.l

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