Properties

Label 160080cu
Number of curves $1$
Conductor $160080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 160080cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160080.p1 160080cu1 \([0, -1, 0, -1776, 41760]\) \(-302668452578/182341125\) \(-373434624000\) \([]\) \(215040\) \(0.92270\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160080cu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 160080cu do not have complex multiplication.

Modular form 160080.2.a.cu

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