# reiffen -- Reiffen's curve

## Synopsis

• Usage:
reiffen(p,q)
• Inputs:
• Outputs:
• , the defining polynomial of Reiffen's (p,q)-curve

## Description

Reiffen's (p,q)-curve is a singular curve defined by $f_{p,q} = x_1^p+x_2^q+x_1x_2^{q-1} = 0$ for $p>=4$ and $q>=p+1$.

 i1 : reiffen(4,5) 4 5 4 o1 = x x + x + x 1 2 2 1 o1 : QQ[x ..x ] 1 2

## Ways to use reiffen :

• "reiffen(ZZ,ZZ)"

## For the programmer

The object reiffen is .