| Genus 2 Curves Database | Igusa CM Invariants Database | Quartic CM Fields Database |
A quartic CM field field K is represented by invariants [D,A,B], where K = Q[x]/(x4+Ax2+B), and D is the discriminant of the totally real quadratic subfield (hence A2-4B = m2D for some m).
| K | Quartic invariants | Cl(OK) | Igusa invariants | Kr | Reflex invariants | Cl(OKr) | Igusa invariants |
| 1) | [29, 513, 63697] | C11 x C11 | ---) | [63697, 1026, 8381] | C11 x C55 | ||
| 2) | [37, 2345, 311737] | C11 x C11 | 8) | [311737, 2495, 854848] | C11 x C11 | ||
| 3) | [149, 1989, 23473] | C11 x C11 | 7) | [23473, 1159, 48276] | C11 x C11 | ||
| 4) | [269, 2097, 1034725] | C11 x C11 | ---) | [41389, 3165, 755621] | C11 x C33 | ||
| 5) | [373, 245, 14913] | C11 x C11 | 6) | [1657, 490, 373] | C11 x C11 | ||
| 6) | [1657, 490, 373] | C11 x C11 | 5) | [373, 245, 14913] | C11 x C11 | ||
| 7) | [23473, 1159, 48276] | C11 x C11 | 3) | [149, 1989, 23473] | C11 x C11 | ||
| 8) | [311737, 2495, 854848] | C11 x C11 | 2) | [37, 2345, 311737] | C11 x C11 |