Properties

Label 16562.c
Number of curves $1$
Conductor $16562$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 16562.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16562.c1 16562y1 \([1, -1, 0, -93235, 19922293]\) \(-24642171/32768\) \(-119188464760881152\) \([]\) \(524160\) \(1.9694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16562.c1 has rank \(1\).

Complex multiplication

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

Modular form 16562.2.a.c

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