Properties

Label 16562n
Number of curves $1$
Conductor $16562$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 16562n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16562.u1 16562n1 \([1, 1, 0, 239977, -95290411]\) \(15925559/50176\) \(-4815385882779157504\) \([]\) \(299520\) \(2.2681\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16562n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16562n do not have complex multiplication.

Modular form 16562.2.a.n

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