## Definite Eichler Orders with Class Number At Most Two

**Information:** In these tables, we list all (totally) definite Eichler orders with class number at most two.

Each Eichler order O is specified by the data

n, d_F, D, N, f, frakD, frakN

where:

- n is the degree [F:Q];
- d_F is the discriminant of F;
- D is the norm of the discriminant frakD of B;
- N is the norm of the level frakN of O;
- f is a minimal polynomial for F with the convention:
[a[0],a[1],...,a[n]] corresponds to a[n]*x^n + ... + a[1]*x + a[0];

- frakD is the discriminant of B, an ideal of the ring of integers of F, specified by (at most two) generators, with the convention:
[b[0],...,b[n-1]] corresponds to b[0] + b[1]*alpha + ... + b[n-1]*alpha^n

where alpha is a root of f (e.g. [[1,0,...,0]] is the unit ideal); and
- frakN is the level of O, an ideal with the same conventions as frakD.

**Definite Eichler orders with class number 1**

**Definite Eichler orders with class number 2**