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).

### Class group C3 x C3 non-normal (D4) quartic CM field invariants: 23 fields

 K Quartic invariants Cl(OK) Igusa invariants Kr Reflex invariants Cl(OKr) Igusa invariants 1) [5, 349, 26669] C3 x C3 ■ 23) [26669, 193, 2645] C3 x C3 ■ 2) [5, 229, 11909] C3 x C3 ■ 21) [11909, 133, 1445] C3 x C3 ■ 3) [5, 274, 18749] C3 x C3 ■ 22) [18749, 137, 5] C3 x C3 ■ 4) [8, 326, 20297] C3 x C3 ■ ---) [20297, 163, 1568] C3 x C3 x C3 ■ 5) [13, 233, 8629] C3 x C3 ■ 19) [8629, 281, 325] C3 x C3 ■ 6) [17, 190, 8753] C3 x C3 ■ 20) [8753, 95, 68] C3 x C3 ■ 7) [89, 383, 6212] C3 x C3 ■ 13) [1553, 211, 1424] C3 x C3 ■ 8) [97, 731, 122896] C3 x C3 ■ 18) [7681, 611, 76048] C3 x C3 ■ 9) [113, 343, 14468] C3 x C3 ■ 17) [3617, 667, 1808] C3 x C3 ■ 10) [193, 239, 10372] C3 x C3 ■ 15) [2593, 478, 15633] C3 x C3 ■ 11) [733, 154, 2997] C3 x C3 ■ ---) [37, 77, 733] C3 ■ 12) [761, 43, 272] C3 x C3 ■ ---) [17, 86, 761] C3 ■ 13) [1553, 211, 1424] C3 x C3 ■ 7) [89, 383, 6212] C3 x C3 ■ 14) [1901, 49, 125] C3 x C3 ■ ---) [5, 97, 1901] C3 ■ 15) [2593, 478, 15633] C3 x C3 ■ 10) [193, 239, 10372] C3 x C3 ■ 16) [2857, 57, 98] C3 x C3 ■ ---) [8, 114, 2857] C3 ■ 17) [3617, 667, 1808] C3 x C3 ■ 9) [113, 343, 14468] C3 x C3 ■ 18) [7681, 611, 76048] C3 x C3 ■ 8) [97, 731, 122896] C3 x C3 ■ 19) [8629, 281, 325] C3 x C3 ■ 5) [13, 233, 8629] C3 x C3 ■ 20) [8753, 95, 68] C3 x C3 ■ 6) [17, 190, 8753] C3 x C3 ■ 21) [11909, 133, 1445] C3 x C3 ■ 2) [5, 229, 11909] C3 x C3 ■ 22) [18749, 137, 5] C3 x C3 ■ 3) [5, 274, 18749] C3 x C3 ■ 23) [26669, 193, 2645] C3 x C3 ■ 1) [5, 349, 26669] C3 x C3 ■