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
2.0.15.1	x^2 - x + 4	\( -\,3\cdot 5 \)	$C_2$ (as 2T1)	$[2]$
2.0.20.1	x^2 + 5	\( -\,2^{2}\cdot 5 \)	$C_2$ (as 2T1)	$[2]$
2.0.24.1	x^2 + 6	\( -\,2^{3}\cdot 3 \)	$C_2$ (as 2T1)	$[2]$
2.0.35.1	x^2 - x + 9	\( -\,5\cdot 7 \)	$C_2$ (as 2T1)	$[2]$
2.0.40.1	x^2 + 10	\( -\,2^{3}\cdot 5 \)	$C_2$ (as 2T1)	$[2]$
2.2.40.1	x^2 - 10	\( 2^{3}\cdot 5 \)	$C_2$ (as 2T1)	$[2]$
2.0.51.1	x^2 - x + 13	\( -\,3\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.0.52.1	x^2 + 13	\( -\,2^{2}\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.60.1	x^2 - 15	\( 2^{2}\cdot 3\cdot 5 \)	$C_2$ (as 2T1)	$[2]$
2.2.65.1	x^2 - x - 16	\( 5\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.85.1	x^2 - x - 21	\( 5\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.0.88.1	x^2 + 22	\( -\,2^{3}\cdot 11 \)	$C_2$ (as 2T1)	$[2]$
2.0.91.1	x^2 - x + 23	\( -\,7\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.104.1	x^2 - 26	\( 2^{3}\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.105.1	x^2 - x - 26	\( 3\cdot 5\cdot 7 \)	$C_2$ (as 2T1)	$[2]$
2.0.115.1	x^2 - x + 29	\( -\,5\cdot 23 \)	$C_2$ (as 2T1)	$[2]$
2.2.120.1	x^2 - 30	\( 2^{3}\cdot 3\cdot 5 \)	$C_2$ (as 2T1)	$[2]$
2.0.123.1	x^2 - x + 31	\( -\,3\cdot 41 \)	$C_2$ (as 2T1)	$[2]$
2.2.136.1	x^2 - 34	\( 2^{3}\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.2.140.1	x^2 - 35	\( 2^{2}\cdot 5\cdot 7 \)	$C_2$ (as 2T1)	$[2]$
2.0.148.1	x^2 + 37	\( -\,2^{2}\cdot 37 \)	$C_2$ (as 2T1)	$[2]$
2.2.156.1	x^2 - 39	\( 2^{2}\cdot 3\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.165.1	x^2 - x - 41	\( 3\cdot 5\cdot 11 \)	$C_2$ (as 2T1)	$[2]$
2.2.168.1	x^2 - 42	\( 2^{3}\cdot 3\cdot 7 \)	$C_2$ (as 2T1)	$[2]$
2.2.185.1	x^2 - x - 46	\( 5\cdot 37 \)	$C_2$ (as 2T1)	$[2]$
2.0.187.1	x^2 - x + 47	\( -\,11\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.2.204.1	x^2 - 51	\( 2^{2}\cdot 3\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.2.205.1	x^2 - x - 51	\( 5\cdot 41 \)	$C_2$ (as 2T1)	$[2]$
2.2.220.1	x^2 - 55	\( 2^{2}\cdot 5\cdot 11 \)	$C_2$ (as 2T1)	$[2]$
2.2.221.1	x^2 - x - 55	\( 13\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.0.232.1	x^2 + 58	\( -\,2^{3}\cdot 29 \)	$C_2$ (as 2T1)	$[2]$
2.2.232.1	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)	$[2]$
2.2.264.1	x^2 - 66	\( 2^{3}\cdot 3\cdot 11 \)	$C_2$ (as 2T1)	$[2]$
2.2.265.1	x^2 - x - 66	\( 5\cdot 53 \)	$C_2$ (as 2T1)	$[2]$
2.0.267.1	x^2 - x + 67	\( -\,3\cdot 89 \)	$C_2$ (as 2T1)	$[2]$
2.2.273.1	x^2 - x - 68	\( 3\cdot 7\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.280.1	x^2 - 70	\( 2^{3}\cdot 5\cdot 7 \)	$C_2$ (as 2T1)	$[2]$
2.2.285.1	x^2 - x - 71	\( 3\cdot 5\cdot 19 \)	$C_2$ (as 2T1)	$[2]$
2.2.296.1	x^2 - 74	\( 2^{3}\cdot 37 \)	$C_2$ (as 2T1)	$[2]$
2.2.305.1	x^2 - x - 76	\( 5\cdot 61 \)	$C_2$ (as 2T1)	$[2]$
2.2.312.1	x^2 - 78	\( 2^{3}\cdot 3\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.345.1	x^2 - x - 86	\( 3\cdot 5\cdot 23 \)	$C_2$ (as 2T1)	$[2]$
2.2.348.1	x^2 - 87	\( 2^{2}\cdot 3\cdot 29 \)	$C_2$ (as 2T1)	$[2]$
2.2.357.1	x^2 - x - 89	\( 3\cdot 7\cdot 17 \)	$C_2$ (as 2T1)	$[2]$
2.2.364.1	x^2 - 91	\( 2^{2}\cdot 7\cdot 13 \)	$C_2$ (as 2T1)	$[2]$
2.2.365.1	x^2 - x - 91	\( 5\cdot 73 \)	$C_2$ (as 2T1)	$[2]$
2.2.377.1	x^2 - x - 94	\( 13\cdot 29 \)	$C_2$ (as 2T1)	$[2]$
2.2.380.1	x^2 - 95	\( 2^{2}\cdot 5\cdot 19 \)	$C_2$ (as 2T1)	$[2]$
2.2.385.1	x^2 - x - 96	\( 5\cdot 7\cdot 11 \)	$C_2$ (as 2T1)	$[2]$

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