↑

Learn more

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Refine search

Degree Signature Ramified prime count Ramified Unramified primes
Galois group Field is Intermediate field Class group structure Class number
Discriminant Root discriminant Galois root discriminant CM field Relative class number
Regulator $p$-adic completions Monogenic Index Ines. \(p\)
Minimal sibling
Sort order Select

Results (1-50 of 129207 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
2.0.47.1 $x^{2} - x + 12$ $-\,47$ $C_2$ (as 2T1) $[5]$ $1$
2.0.79.1 $x^{2} - x + 20$ $-\,79$ $C_2$ (as 2T1) $[5]$ $1$
2.0.103.1 $x^{2} - x + 26$ $-\,103$ $C_2$ (as 2T1) $[5]$ $1$
2.0.127.1 $x^{2} - x + 32$ $-\,127$ $C_2$ (as 2T1) $[5]$ $1$
2.0.131.1 $x^{2} - x + 33$ $-\,131$ $C_2$ (as 2T1) $[5]$ $1$
2.0.179.1 $x^{2} - x + 45$ $-\,179$ $C_2$ (as 2T1) $[5]$ $1$
2.0.227.1 $x^{2} - x + 57$ $-\,227$ $C_2$ (as 2T1) $[5]$ $1$
2.0.347.1 $x^{2} - x + 87$ $-\,347$ $C_2$ (as 2T1) $[5]$ $1$
2.2.401.1 $x^{2} - x - 100$ $401$ $C_2$ (as 2T1) $[5]$ $3.68950386899$
2.0.443.1 $x^{2} - x + 111$ $-\,443$ $C_2$ (as 2T1) $[5]$ $1$
2.0.523.1 $x^{2} - x + 131$ $-\,523$ $C_2$ (as 2T1) $[5]$ $1$
2.0.571.1 $x^{2} - x + 143$ $-\,571$ $C_2$ (as 2T1) $[5]$ $1$
2.0.619.1 $x^{2} - x + 155$ $-\,619$ $C_2$ (as 2T1) $[5]$ $1$
2.0.683.1 $x^{2} - x + 171$ $-\,683$ $C_2$ (as 2T1) $[5]$ $1$
2.0.691.1 $x^{2} - x + 173$ $-\,691$ $C_2$ (as 2T1) $[5]$ $1$
2.0.739.1 $x^{2} - x + 185$ $-\,739$ $C_2$ (as 2T1) $[5]$ $1$
2.0.787.1 $x^{2} - x + 197$ $-\,787$ $C_2$ (as 2T1) $[5]$ $1$
2.2.817.1 $x^{2} - x - 204$ $19\cdot 43$ $C_2$ (as 2T1) $[5]$ $6.53087550275$
2.0.947.1 $x^{2} - x + 237$ $-\,947$ $C_2$ (as 2T1) $[5]$ $1$
2.0.1051.1 $x^{2} - x + 263$ $-\,1051$ $C_2$ (as 2T1) $[5]$ $1$
2.2.1093.1 $x^{2} - x - 273$ $1093$ $C_2$ (as 2T1) $[5]$ $3.49742457285$
2.0.1123.1 $x^{2} - x + 281$ $-\,1123$ $C_2$ (as 2T1) $[5]$ $1$
2.2.1393.1 $x^{2} - x - 348$ $7\cdot 199$ $C_2$ (as 2T1) $[5]$ $8.87710287839$
2.2.1429.1 $x^{2} - x - 357$ $1429$ $C_2$ (as 2T1) $[5]$ $5.24177500862$
2.2.1641.1 $x^{2} - x - 410$ $3\cdot 547$ $C_2$ (as 2T1) $[5]$ $9.07680896629$
2.0.1723.1 $x^{2} - x + 431$ $-\,1723$ $C_2$ (as 2T1) $[5]$ $1$
2.0.1747.1 $x^{2} - x + 437$ $-\,1747$ $C_2$ (as 2T1) $[5]$ $1$
2.2.1756.1 $x^{2} - 439$ $2^{2}\cdot 439$ $C_2$ (as 2T1) $[5]$ $6.77992061615$
2.0.1867.1 $x^{2} - x + 467$ $-\,1867$ $C_2$ (as 2T1) $[5]$ $1$
2.2.1897.1 $x^{2} - x - 474$ $7\cdot 271$ $C_2$ (as 2T1) $[5]$ $11.3828851143$
2.2.1996.1 $x^{2} - 499$ $2^{2}\cdot 499$ $C_2$ (as 2T1) $[5]$ $9.1027551489$
2.2.2081.1 $x^{2} - x - 520$ $2081$ $C_2$ (as 2T1) $[5]$ $9.00208544832$
2.2.2153.1 $x^{2} - x - 538$ $2153$ $C_2$ (as 2T1) $[5]$ $6.13988919696$
2.0.2203.1 $x^{2} - x + 551$ $-\,2203$ $C_2$ (as 2T1) $[5]$ $1$
2.0.2347.1 $x^{2} - x + 587$ $-\,2347$ $C_2$ (as 2T1) $[5]$ $1$
2.0.2683.1 $x^{2} - x + 671$ $-\,2683$ $C_2$ (as 2T1) $[5]$ $1$
2.2.2908.1 $x^{2} - 727$ $2^{2}\cdot 727$ $C_2$ (as 2T1) $[5]$ $7.28344775704$
2.2.3121.1 $x^{2} - x - 780$ $3121$ $C_2$ (as 2T1) $[5]$ $17.0428020714$
2.2.3181.1 $x^{2} - x - 795$ $3181$ $C_2$ (as 2T1) $[5]$ $6.33505739519$
2.2.3253.1 $x^{2} - x - 813$ $3253$ $C_2$ (as 2T1) $[5]$ $4.04335891284$
2.2.3928.1 $x^{2} - 982$ $2^{3}\cdot 491$ $C_2$ (as 2T1) $[5]$ $9.77984990888$
2.2.3997.1 $x^{2} - x - 999$ $7\cdot 571$ $C_2$ (as 2T1) $[5]$ $6.34387734541$
2.2.4353.1 $x^{2} - x - 1088$ $3\cdot 1451$ $C_2$ (as 2T1) $[5]$ $8.66664711492$
2.2.4357.1 $x^{2} - x - 1089$ $4357$ $C_2$ (as 2T1) $[5]$ $4.88285930975$
2.2.4441.1 $x^{2} - x - 1110$ $4441$ $C_2$ (as 2T1) $[5]$ $19.808541877$
2.2.4504.1 $x^{2} - 1126$ $2^{3}\cdot 563$ $C_2$ (as 2T1) $[5]$ $12.1140121797$
2.2.4757.1 $x^{2} - x - 1189$ $67\cdot 71$ $C_2$ (as 2T1) $[5]$ $4.23389639848$
2.2.4889.1 $x^{2} - x - 1222$ $4889$ $C_2$ (as 2T1) $[5]$ $13.2457555413$
2.2.5241.1 $x^{2} - x - 1310$ $3\cdot 1747$ $C_2$ (as 2T1) $[5]$ $16.1271217925$
2.2.5269.1 $x^{2} - x - 1317$ $11\cdot 479$ $C_2$ (as 2T1) $[5]$ $9.39074341598$
Next   displayed columns for results