Properties

Label 160113.c
Number of curves $1$
Conductor $160113$
CM no
Rank $0$

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

Elliptic curves in class 160113.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160113.c1 160113c1 \([1, 1, 1, -310506, -66726150]\) \(-1178642372740721641/90876411\) \(-255271838499\) \([]\) \(843696\) \(1.6364\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160113.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 160113.c do not have complex multiplication.

Modular form 160113.2.a.c

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