Number field search results

Degree	Signature	Class number	Class group structure	CM field
Ramified prime count	Ramified	Unramified primes	Galois group	Is Galois
Discriminant	Root discriminant	Regulator	Intermediate field	$p$-adic completions

Results (1-50 of 410 matches)

 

Label	Polynomial	Discriminant	Galois group	Class group
2.0.103.1	x^2 - x + 26	\( -\,103 \)	$C_2$ (as 2T1)	$[5]$
2.0.104.1	x^2 + 26	\( -\,2^{3}\cdot 13 \)	$C_2$ (as 2T1)	$[6]$
2.0.107.1	x^2 - x + 27	\( -\,107 \)	$C_2$ (as 2T1)	$[3]$
2.0.111.1	x^2 - x + 28	\( -\,3\cdot 37 \)	$C_2$ (as 2T1)	$[8]$
2.0.115.1	x^2 - x + 29	\( -\,5\cdot 23 \)	$C_2$ (as 2T1)	$[2]$
2.0.116.1	x^2 + 29	\( -\,2^{2}\cdot 29 \)	$C_2$ (as 2T1)	$[6]$
2.0.119.1	x^2 - x + 30	\( -\,7\cdot 17 \)	$C_2$ (as 2T1)	$[10]$
2.0.120.1	x^2 + 30	\( -\,2^{3}\cdot 3\cdot 5 \)	$C_2$ (as 2T1)	$[2, 2]$
2.0.123.1	x^2 - x + 31	\( -\,3\cdot 41 \)	$C_2$ (as 2T1)	$[2]$
2.0.127.1	x^2 - x + 32	\( -\,127 \)	$C_2$ (as 2T1)	$[5]$
2.0.131.1	x^2 - x + 33	\( -\,131 \)	$C_2$ (as 2T1)	$[5]$
2.0.132.1	x^2 + 33	\( -\,2^{2}\cdot 3\cdot 11 \)	$C_2$ (as 2T1)	$[2, 2]$
2.0.136.1	x^2 + 34	\( -\,2^{3}\cdot 17 \)	$C_2$ (as 2T1)	$[4]$
2.0.139.1	x^2 - x + 35	\( -\,139 \)	$C_2$ (as 2T1)	$[3]$
2.0.143.1	x^2 - x + 36	\( -\,11\cdot 13 \)	$C_2$ (as 2T1)	$[10]$
2.0.148.1	x^2 + 37	\( -\,2^{2}\cdot 37 \)	$C_2$ (as 2T1)	$[2]$
2.0.151.1	x^2 - x + 38	\( -\,151 \)	$C_2$ (as 2T1)	$[7]$
2.0.152.1	x^2 + 38	\( -\,2^{3}\cdot 19 \)	$C_2$ (as 2T1)	$[6]$
2.0.155.1	x^2 - x + 39	\( -\,5\cdot 31 \)	$C_2$ (as 2T1)	$[4]$
2.0.159.1	x^2 - x + 40	\( -\,3\cdot 53 \)	$C_2$ (as 2T1)	$[10]$
2.0.163.1	x^2 - x + 41	\( -\,163 \)	$C_2$ (as 2T1)	trivial
2.0.164.1	x^2 + 41	\( -\,2^{2}\cdot 41 \)	$C_2$ (as 2T1)	$[8]$
2.0.167.1	x^2 - x + 42	\( -\,167 \)	$C_2$ (as 2T1)	$[11]$
2.0.168.1	x^2 + 42	\( -\,2^{3}\cdot 3\cdot 7 \)	$C_2$ (as 2T1)	$[2, 2]$
2.0.179.1	x^2 - x + 45	\( -\,179 \)	$C_2$ (as 2T1)	$[5]$
2.0.183.1	x^2 - x + 46	\( -\,3\cdot 61 \)	$C_2$ (as 2T1)	$[8]$
2.0.184.1	x^2 + 46	\( -\,2^{3}\cdot 23 \)	$C_2$ (as 2T1)	$[4]$
2.0.187.1	x^2 - x + 47	\( -\,11\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.0.191.1	x^2 - x + 48	\( -\,191 \)	$C_2$ (as 2T1)	$[13]$
2.0.195.1	x^2 - x + 49	\( -\,3\cdot 5\cdot 13 \)	$C_2$ (as 2T1)	$[2, 2]$
2.0.199.1	x^2 - x + 50	\( -\,199 \)	$C_2$ (as 2T1)	$[9]$
2.0.203.1	x^2 - x + 51	\( -\,7\cdot 29 \)	$C_2$ (as 2T1)	$[4]$
2.0.211.1	x^2 - x + 53	\( -\,211 \)	$C_2$ (as 2T1)	$[3]$
2.0.212.1	x^2 + 53	\( -\,2^{2}\cdot 53 \)	$C_2$ (as 2T1)	$[6]$
2.0.215.1	x^2 - x + 54	\( -\,5\cdot 43 \)	$C_2$ (as 2T1)	$[14]$
2.0.219.1	x^2 - x + 55	\( -\,3\cdot 73 \)	$C_2$ (as 2T1)	$[4]$
2.0.223.1	x^2 - x + 56	\( -\,223 \)	$C_2$ (as 2T1)	$[7]$
2.0.227.1	x^2 - x + 57	\( -\,227 \)	$C_2$ (as 2T1)	$[5]$
2.0.228.1	x^2 + 57	\( -\,2^{2}\cdot 3\cdot 19 \)	$C_2$ (as 2T1)	$[2, 2]$
2.0.231.1	x^2 - x + 58	\( -\,3\cdot 7\cdot 11 \)	$C_2$ (as 2T1)	$[2, 6]$
2.0.232.1	x^2 + 58	\( -\,2^{3}\cdot 29 \)	$C_2$ (as 2T1)	$[2]$
2.0.235.1	x^2 - x + 59	\( -\,5\cdot 47 \)	$C_2$ (as 2T1)	$[2]$
2.0.239.1	x^2 - x + 60	\( -\,239 \)	$C_2$ (as 2T1)	$[15]$
2.0.244.1	x^2 + 61	\( -\,2^{2}\cdot 61 \)	$C_2$ (as 2T1)	$[6]$
2.0.247.1	x^2 - x + 62	\( -\,13\cdot 19 \)	$C_2$ (as 2T1)	$[6]$
2.0.248.1	x^2 + 62	\( -\,2^{3}\cdot 31 \)	$C_2$ (as 2T1)	$[8]$
2.0.251.1	x^2 - x + 63	\( -\,251 \)	$C_2$ (as 2T1)	$[7]$
2.0.255.1	x^2 - x + 64	\( -\,3\cdot 5\cdot 17 \)	$C_2$ (as 2T1)	$[2, 6]$
2.0.259.1	x^2 - x + 65	\( -\,7\cdot 37 \)	$C_2$ (as 2T1)	$[4]$
2.0.260.1	x^2 + 65	\( -\,2^{2}\cdot 5\cdot 13 \)	$C_2$ (as 2T1)	$[2, 4]$