Currently the database contains all groups $G$ acting as automorphisms of curves $X/\C$ of genus 2 to 15 such that $X/G$ has genus 0, as well as genus 2 through 4 with quotient genus greater than 0. There are 31,789 distinct refined passports in the database. The number of distinct generating vectors is 335,012. Here are some further statistics.

## Browse

By genus: | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |

By group: | $C_2$ $C_3$ $C_4$ $C_2^2$ $C_5$ $S_3$ $C_6$ $C_7$ $C_8$ $C_2\times C_4$ $D_4$ $Q_8$ $C_2^3$ $C_9$ $C_3^2$ $D_5$ $C_{10}$ $C_{11}$ $C_3:C_4$ $C_{12}$ $A_4$ $D_6$ $C_2\times C_6$ $\cdots$ |

Hyperelliptic curves by genus: | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |

Cyclic trigonal curves by genus: | 3 4 5 6 7 8 9 10 12 13 14 |

Some interesting families or a random refined passport |