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
2.0.455.1	x^2 - x + 114	\( -\,5\cdot 7\cdot 13 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.615.1	x^2 - x + 154	\( -\,3\cdot 5\cdot 41 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.776.1	x^2 + 194	\( -\,2^{3}\cdot 97 \)	$C_2$ (as 2T1)	$[20]$
2.0.824.1	x^2 + 206	\( -\,2^{3}\cdot 103 \)	$C_2$ (as 2T1)	$[20]$
2.0.836.1	x^2 + 209	\( -\,2^{2}\cdot 11\cdot 19 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.920.1	x^2 + 230	\( -\,2^{3}\cdot 5\cdot 23 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1064.1	x^2 + 266	\( -\,2^{3}\cdot 7\cdot 19 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1124.1	x^2 + 281	\( -\,2^{2}\cdot 281 \)	$C_2$ (as 2T1)	$[20]$
2.0.1160.1	x^2 + 290	\( -\,2^{3}\cdot 5\cdot 29 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1263.1	x^2 - x + 316	\( -\,3\cdot 421 \)	$C_2$ (as 2T1)	$[20]$
2.0.1284.1	x^2 + 321	\( -\,2^{2}\cdot 3\cdot 107 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1460.1	x^2 + 365	\( -\,2^{2}\cdot 5\cdot 73 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1495.1	x^2 - x + 374	\( -\,5\cdot 13\cdot 23 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1524.1	x^2 + 381	\( -\,2^{2}\cdot 3\cdot 127 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1544.1	x^2 + 386	\( -\,2^{3}\cdot 193 \)	$C_2$ (as 2T1)	$[20]$
2.0.1592.1	x^2 + 398	\( -\,2^{3}\cdot 199 \)	$C_2$ (as 2T1)	$[20]$
2.0.1604.1	x^2 + 401	\( -\,2^{2}\cdot 401 \)	$C_2$ (as 2T1)	$[20]$
2.0.1652.1	x^2 + 413	\( -\,2^{2}\cdot 7\cdot 59 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1695.1	x^2 - x + 424	\( -\,3\cdot 5\cdot 113 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1739.1	x^2 - x + 435	\( -\,37\cdot 47 \)	$C_2$ (as 2T1)	$[20]$
2.0.1748.1	x^2 + 437	\( -\,2^{2}\cdot 19\cdot 23 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1796.1	x^2 + 449	\( -\,2^{2}\cdot 449 \)	$C_2$ (as 2T1)	$[20]$
2.0.1880.1	x^2 + 470	\( -\,2^{3}\cdot 5\cdot 47 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1887.1	x^2 - x + 472	\( -\,3\cdot 17\cdot 37 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1896.1	x^2 + 474	\( -\,2^{3}\cdot 3\cdot 79 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1928.1	x^2 + 482	\( -\,2^{3}\cdot 241 \)	$C_2$ (as 2T1)	$[20]$
2.0.1940.1	x^2 + 485	\( -\,2^{2}\cdot 5\cdot 97 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.1956.1	x^2 + 489	\( -\,2^{2}\cdot 3\cdot 163 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2136.1	x^2 + 534	\( -\,2^{3}\cdot 3\cdot 89 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2247.1	x^2 - x + 562	\( -\,3\cdot 7\cdot 107 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2360.1	x^2 + 590	\( -\,2^{3}\cdot 5\cdot 59 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2404.1	x^2 + 601	\( -\,2^{2}\cdot 601 \)	$C_2$ (as 2T1)	$[20]$
2.0.2407.1	x^2 - x + 602	\( -\,29\cdot 83 \)	$C_2$ (as 2T1)	$[20]$
2.0.2483.1	x^2 - x + 621	\( -\,13\cdot 191 \)	$C_2$ (as 2T1)	$[20]$
2.0.2487.1	x^2 - x + 622	\( -\,3\cdot 829 \)	$C_2$ (as 2T1)	$[20]$
2.0.2532.1	x^2 + 633	\( -\,2^{2}\cdot 3\cdot 211 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2552.1	x^2 + 638	\( -\,2^{3}\cdot 11\cdot 29 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2596.1	x^2 + 649	\( -\,2^{2}\cdot 11\cdot 59 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2603.1	x^2 - x + 651	\( -\,19\cdot 137 \)	$C_2$ (as 2T1)	$[20]$
2.0.2712.1	x^2 + 678	\( -\,2^{3}\cdot 3\cdot 113 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2724.1	x^2 + 681	\( -\,2^{2}\cdot 3\cdot 227 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2743.1	x^2 - x + 686	\( -\,13\cdot 211 \)	$C_2$ (as 2T1)	$[20]$
2.0.2948.1	x^2 + 737	\( -\,2^{2}\cdot 11\cdot 67 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.2983.1	x^2 - x + 746	\( -\,19\cdot 157 \)	$C_2$ (as 2T1)	$[20]$
2.0.2987.1	x^2 - x + 747	\( -\,29\cdot 103 \)	$C_2$ (as 2T1)	$[20]$
2.0.3007.1	x^2 - x + 752	\( -\,31\cdot 97 \)	$C_2$ (as 2T1)	$[20]$
2.0.3016.1	x^2 + 754	\( -\,2^{3}\cdot 13\cdot 29 \)	$C_2$ (as 2T1)	$[2, 10]$
2.0.3076.1	x^2 + 769	\( -\,2^{2}\cdot 769 \)	$C_2$ (as 2T1)	$[20]$
2.0.3099.1	x^2 - x + 775	\( -\,3\cdot 1033 \)	$C_2$ (as 2T1)	$[20]$
2.0.3103.1	x^2 - x + 776	\( -\,29\cdot 107 \)	$C_2$ (as 2T1)	$[20]$

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