Number field search results

Degree	Signature	Galois group	Class number	Class group structure
Regulator	Ramified prime count	Ramified	Unramified primes	CM field
Discriminant	Root discriminant	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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