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

Results (1-50 of )

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Label	Polynomial	Discriminant	Galois group	Class group
2.0.95.1	x^2 - x + 24	\( -\,5\cdot 19 \)	$C_2$ (as 2T1)	$[8]$
2.0.111.1	x^2 - x + 28	\( -\,3\cdot 37 \)	$C_2$ (as 2T1)	$[8]$
2.0.164.1	x^2 + 41	\( -\,2^{2}\cdot 41 \)	$C_2$ (as 2T1)	$[8]$
2.0.183.1	x^2 - x + 46	\( -\,3\cdot 61 \)	$C_2$ (as 2T1)	$[8]$
2.0.248.1	x^2 + 62	\( -\,2^{3}\cdot 31 \)	$C_2$ (as 2T1)	$[8]$
2.0.260.1	x^2 + 65	\( -\,2^{2}\cdot 5\cdot 13 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.264.1	x^2 + 66	\( -\,2^{3}\cdot 3\cdot 11 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.276.1	x^2 + 69	\( -\,2^{2}\cdot 3\cdot 23 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.295.1	x^2 - x + 74	\( -\,5\cdot 59 \)	$C_2$ (as 2T1)	$[8]$
2.0.299.1	x^2 - x + 75	\( -\,13\cdot 23 \)	$C_2$ (as 2T1)	$[8]$
2.0.308.1	x^2 + 77	\( -\,2^{2}\cdot 7\cdot 11 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.371.1	x^2 - x + 93	\( -\,7\cdot 53 \)	$C_2$ (as 2T1)	$[8]$
2.0.376.1	x^2 + 94	\( -\,2^{3}\cdot 47 \)	$C_2$ (as 2T1)	$[8]$
2.0.395.1	x^2 - x + 99	\( -\,5\cdot 79 \)	$C_2$ (as 2T1)	$[8]$
2.0.420.1	x^2 + 105	\( -\,2^{2}\cdot 3\cdot 5\cdot 7 \)	$C_2$ (as 2T1)	$[2, 2, 2]$
2.0.452.1	x^2 + 113	\( -\,2^{2}\cdot 113 \)	$C_2$ (as 2T1)	$[8]$
2.0.456.1	x^2 + 114	\( -\,2^{3}\cdot 3\cdot 19 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.548.1	x^2 + 137	\( -\,2^{2}\cdot 137 \)	$C_2$ (as 2T1)	$[8]$
2.0.552.1	x^2 + 138	\( -\,2^{3}\cdot 3\cdot 23 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.564.1	x^2 + 141	\( -\,2^{2}\cdot 3\cdot 47 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.579.1	x^2 - x + 145	\( -\,3\cdot 193 \)	$C_2$ (as 2T1)	$[8]$
2.0.580.1	x^2 + 145	\( -\,2^{2}\cdot 5\cdot 29 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.583.1	x^2 - x + 146	\( -\,11\cdot 53 \)	$C_2$ (as 2T1)	$[8]$
2.0.616.1	x^2 + 154	\( -\,2^{3}\cdot 7\cdot 11 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.632.1	x^2 + 158	\( -\,2^{3}\cdot 79 \)	$C_2$ (as 2T1)	$[8]$
2.0.651.1	x^2 - x + 163	\( -\,3\cdot 7\cdot 31 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.660.1	x^2 + 165	\( -\,2^{2}\cdot 3\cdot 5\cdot 11 \)	$C_2$ (as 2T1)	$[2, 2, 2]$
2.0.712.1	x^2 + 178	\( -\,2^{3}\cdot 89 \)	$C_2$ (as 2T1)	$[8]$
2.0.820.1	x^2 + 205	\( -\,2^{2}\cdot 5\cdot 41 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.840.1	x^2 + 210	\( -\,2^{3}\cdot 3\cdot 5\cdot 7 \)	$C_2$ (as 2T1)	$[2, 2, 2]$
2.0.852.1	x^2 + 213	\( -\,2^{2}\cdot 3\cdot 71 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.868.1	x^2 + 217	\( -\,2^{2}\cdot 7\cdot 31 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.904.1	x^2 + 226	\( -\,2^{3}\cdot 113 \)	$C_2$ (as 2T1)	$[8]$
2.2.904.1	x^2 - 226	\( 2^{3}\cdot 113 \)	$C_2$ (as 2T1)	$[8]$
2.0.915.1	x^2 - x + 229	\( -\,3\cdot 5\cdot 61 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.939.1	x^2 - x + 235	\( -\,3\cdot 313 \)	$C_2$ (as 2T1)	$[8]$
2.0.952.1	x^2 + 238	\( -\,2^{3}\cdot 7\cdot 17 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.979.1	x^2 - x + 245	\( -\,11\cdot 89 \)	$C_2$ (as 2T1)	$[8]$
2.0.987.1	x^2 - x + 247	\( -\,3\cdot 7\cdot 47 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.995.1	x^2 - x + 249	\( -\,5\cdot 199 \)	$C_2$ (as 2T1)	$[8]$
2.0.1032.1	x^2 + 258	\( -\,2^{3}\cdot 3\cdot 43 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.1043.1	x^2 - x + 261	\( -\,7\cdot 149 \)	$C_2$ (as 2T1)	$[8]$
2.0.1060.1	x^2 + 265	\( -\,2^{2}\cdot 5\cdot 53 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.1092.1	x^2 + 273	\( -\,2^{2}\cdot 3\cdot 7\cdot 13 \)	$C_2$ (as 2T1)	$[2, 2, 2]$
2.0.1128.1	x^2 + 282	\( -\,2^{3}\cdot 3\cdot 47 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.1131.1	x^2 - x + 283	\( -\,3\cdot 13\cdot 29 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.1155.1	x^2 - x + 289	\( -\,3\cdot 5\cdot 7\cdot 11 \)	$C_2$ (as 2T1)	$[2, 2, 2]$
2.0.1195.1	x^2 - x + 299	\( -\,5\cdot 239 \)	$C_2$ (as 2T1)	$[8]$
2.0.1204.1	x^2 + 301	\( -\,2^{2}\cdot 7\cdot 43 \)	$C_2$ (as 2T1)	$[2, 4]$
2.0.1240.1	x^2 + 310	\( -\,2^{3}\cdot 5\cdot 31 \)	$C_2$ (as 2T1)	$[2, 4]$

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