Level-two modular curve (source code)

= Level-two modular curve
{title2=$Y(2)=\mathbb H/\Gamma(2)$}

The quotient $\mathbb H/\Gamma(2)$ is a <genus>-zero <Riemann surface> with three cusps and no <elliptic Möbius transformations>, hence is <biholomorphic> to $\mathbb C\setminus\{0,1\}$. The integer level-two <principal congruence subgroup> has projective index six; reduction modulo two gives three cusp classes.