Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 5610.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5610.f1 5610h1 \([1, 1, 0, 1768, 4866]\) \(610641930681719/360747465210\) \(-360747465210\) \([]\) \(9360\) \(0.90698\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610.f1 has rank \(0\).

Complex multiplication

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

Modular form 5610.2.a.f

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