Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("5610.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5610b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
5610.d1 5610b1 [1, 1, 0, 27, -243] [] 1680 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610b1 has rank \(0\).

Modular form 5610.2.a.d

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