↑

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 pp-adic completions Monogenic Index Ines. pp
Minimal sibling
Sort order Select

Results (1-50 of 214857 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
2.0.231.1 x2−x+58x^{2} - x + 58 − 3⋅7⋅11-\,3\cdot 7\cdot 11 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.255.1 x2−x+64x^{2} - x + 64 − 3⋅5⋅17-\,3\cdot 5\cdot 17 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.327.1 x2−x+82x^{2} - x + 82 − 3⋅109-\,3\cdot 109 C2C_2 (as 2T1) [12][12] 11
2.0.356.1 x2+89x^{2} + 89 − 22⋅89-\,2^{2}\cdot 89 C2C_2 (as 2T1) [12][12] 11
2.0.440.1 x2+110x^{2} + 110 − 23⋅5⋅11-\,2^{3}\cdot 5\cdot 11 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.516.1 x2+129x^{2} + 129 − 22⋅3⋅43-\,2^{2}\cdot 3\cdot 43 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.543.1 x2−x+136x^{2} - x + 136 − 3⋅181-\,3\cdot 181 C2C_2 (as 2T1) [12][12] 11
2.0.655.1 x2−x+164x^{2} - x + 164 − 5⋅131-\,5\cdot 131 C2C_2 (as 2T1) [12][12] 11
2.0.680.1 x2+170x^{2} + 170 − 23⋅5⋅17-\,2^{3}\cdot 5\cdot 17 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.687.1 x2−x+172x^{2} - x + 172 − 3⋅229-\,3\cdot 229 C2C_2 (as 2T1) [12][12] 11
2.0.696.1 x2+174x^{2} + 174 − 23⋅3⋅29-\,2^{3}\cdot 3\cdot 29 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.728.1 x2+182x^{2} + 182 − 23⋅7⋅13-\,2^{3}\cdot 7\cdot 13 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.731.1 x2−x+183x^{2} - x + 183 − 17⋅43-\,17\cdot 43 C2C_2 (as 2T1) [12][12] 11
2.0.744.1 x2+186x^{2} + 186 − 23⋅3⋅31-\,2^{3}\cdot 3\cdot 31 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.755.1 x2−x+189x^{2} - x + 189 − 5⋅151-\,5\cdot 151 C2C_2 (as 2T1) [12][12] 11
2.0.804.1 x2+201x^{2} + 201 − 22⋅3⋅67-\,2^{2}\cdot 3\cdot 67 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.888.1 x2+222x^{2} + 222 − 23⋅3⋅37-\,2^{3}\cdot 3\cdot 37 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.932.1 x2+233x^{2} + 233 − 22⋅233-\,2^{2}\cdot 233 C2C_2 (as 2T1) [12][12] 11
2.0.948.1 x2+237x^{2} + 237 − 22⋅3⋅79-\,2^{2}\cdot 3\cdot 79 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.964.1 x2+241x^{2} + 241 − 22⋅241-\,2^{2}\cdot 241 C2C_2 (as 2T1) [12][12] 11
2.0.984.1 x2+246x^{2} + 246 − 23⋅3⋅41-\,2^{3}\cdot 3\cdot 41 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.996.1 x2+249x^{2} + 249 − 22⋅3⋅83-\,2^{2}\cdot 3\cdot 83 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1011.1 x2−x+253x^{2} - x + 253 − 3⋅337-\,3\cdot 337 C2C_2 (as 2T1) [12][12] 11
2.0.1067.1 x2−x+267x^{2} - x + 267 − 11⋅97-\,11\cdot 97 C2C_2 (as 2T1) [12][12] 11
2.0.1096.1 x2+274x^{2} + 274 − 23⋅137-\,2^{3}\cdot 137 C2C_2 (as 2T1) [12][12] 11
2.0.1144.1 x2+286x^{2} + 286 − 23⋅11⋅13-\,2^{3}\cdot 11\cdot 13 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1208.1 x2+302x^{2} + 302 − 23⋅151-\,2^{3}\cdot 151 C2C_2 (as 2T1) [12][12] 11
2.0.1235.1 x2−x+309x^{2} - x + 309 − 5⋅13⋅19-\,5\cdot 13\cdot 19 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1236.1 x2+309x^{2} + 309 − 22⋅3⋅103-\,2^{2}\cdot 3\cdot 103 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1255.1 x2−x+314x^{2} - x + 314 − 5⋅251-\,5\cdot 251 C2C_2 (as 2T1) [12][12] 11
2.0.1272.1 x2+318x^{2} + 318 − 23⋅3⋅53-\,2^{3}\cdot 3\cdot 53 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1336.1 x2+334x^{2} + 334 − 23⋅167-\,2^{3}\cdot 167 C2C_2 (as 2T1) [12][12] 11
2.0.1355.1 x2−x+339x^{2} - x + 339 − 5⋅271-\,5\cdot 271 C2C_2 (as 2T1) [12][12] 11
2.0.1371.1 x2−x+343x^{2} - x + 343 − 3⋅457-\,3\cdot 457 C2C_2 (as 2T1) [12][12] 11
2.0.1419.1 x2−x+355x^{2} - x + 355 − 3⋅11⋅43-\,3\cdot 11\cdot 43 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1464.1 x2+366x^{2} + 366 − 23⋅3⋅61-\,2^{3}\cdot 3\cdot 61 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1480.1 x2+370x^{2} + 370 − 23⋅5⋅37-\,2^{3}\cdot 5\cdot 37 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1491.1 x2−x+373x^{2} - x + 373 − 3⋅7⋅71-\,3\cdot 7\cdot 71 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1515.1 x2−x+379x^{2} - x + 379 − 3⋅5⋅101-\,3\cdot 5\cdot 101 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1547.1 x2−x+387x^{2} - x + 387 − 7⋅13⋅17-\,7\cdot 13\cdot 17 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1572.1 x2+393x^{2} + 393 − 22⋅3⋅131-\,2^{2}\cdot 3\cdot 131 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1668.1 x2+417x^{2} + 417 − 22⋅3⋅139-\,2^{2}\cdot 3\cdot 139 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1720.1 x2+430x^{2} + 430 − 23⋅5⋅43-\,2^{3}\cdot 5\cdot 43 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1732.1 x2+433x^{2} + 433 − 22⋅433-\,2^{2}\cdot 433 C2C_2 (as 2T1) [12][12] 11
2.0.1763.1 x2−x+441x^{2} - x + 441 − 41⋅43-\,41\cdot 43 C2C_2 (as 2T1) [12][12] 11
2.0.1807.1 x2−x+452x^{2} - x + 452 − 13⋅139-\,13\cdot 139 C2C_2 (as 2T1) [12][12] 11
2.0.1812.1 x2+453x^{2} + 453 − 22⋅3⋅151-\,2^{2}\cdot 3\cdot 151 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1892.1 x2+473x^{2} + 473 − 22⋅11⋅43-\,2^{2}\cdot 11\cdot 43 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1955.1 x2−x+489x^{2} - x + 489 − 5⋅17⋅23-\,5\cdot 17\cdot 23 C2C_2 (as 2T1) [2,6][2, 6] 11
2.0.1972.1 x2+493x^{2} + 493 − 22⋅17⋅29-\,2^{2}\cdot 17\cdot 29 C2C_2 (as 2T1) [2,6][2, 6] 11
Next   displayed columns for results