Properties

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

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

Elliptic curves in class 16562j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16562.i1 16562j1 \([1, 1, 0, -8453, -125159]\) \(8281/4\) \(32271102346756\) \([]\) \(40320\) \(1.2857\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16562j1 has rank \(0\).

Complex multiplication

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

Modular form 16562.2.a.j

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