Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of 3701 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
2.0.647.1	x^2 - x + 162	$2$	[0,1]	$-\,647$	$1$	$25.436194684$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.1039.1	x^2 - x + 260	$2$	[0,1]	$-\,1039$	$1$	$32.2335229226$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.1103.1	x^2 - x + 276	$2$	[0,1]	$-\,1103$	$1$	$33.2114438108$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.1279.1	x^2 - x + 320	$2$	[0,1]	$-\,1279$	$1$	$35.7631094845$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.1447.1	x^2 - x + 362	$2$	[0,1]	$-\,1447$	$1$	$38.0394532032$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.1471.1	x^2 - x + 368	$2$	[0,1]	$-\,1471$	$1$	$38.3536178215$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.1811.1	x^2 - x + 453	$2$	[0,1]	$-\,1811$	$1$	$42.5558456619$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.1979.1	x^2 - x + 495	$2$	[0,1]	$-\,1979$	$1$	$44.4859528391$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.2411.1	x^2 - x + 603	$2$	[0,1]	$-\,2411$	$1$	$49.1019347888$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.2671.1	x^2 - x + 668	$2$	[0,1]	$-\,2671$	$1$	$51.6817182377$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.3491.1	x^2 - x + 873	$2$	[0,1]	$-\,3491$	$1$	$59.0846849869$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.3539.1	x^2 - x + 885	$2$	[0,1]	$-\,3539$	$1$	$59.4894948709$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.3847.1	x^2 - x + 962	$2$	[0,1]	$-\,3847$	$1$	$62.0241888298$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.3923.1	x^2 - x + 981	$2$	[0,1]	$-\,3923$	$1$	$62.6338566592$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.4211.1	x^2 - x + 1053	$2$	[0,1]	$-\,4211$	$1$	$64.8922183316$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.4783.1	x^2 - x + 1196	$2$	[0,1]	$-\,4783$	$1$	$69.1592365487$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.5387.1	x^2 - x + 1347	$2$	[0,1]	$-\,5387$	$1$	$73.396185187$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.5507.1	x^2 - x + 1377	$2$	[0,1]	$-\,5507$	$1$	$74.2091638546$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.5531.1	x^2 - x + 1383	$2$	[0,1]	$-\,5531$	$1$	$74.3706931526$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.6563.1	x^2 - x + 1641	$2$	[0,1]	$-\,6563$	$1$	$81.0123447383$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.6659.1	x^2 - x + 1665	$2$	[0,1]	$-\,6659$	$1$	$81.6026960339$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.6703.1	x^2 - x + 1676	$2$	[0,1]	$-\,6703$	$1$	$81.8718510845$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.7043.1	x^2 - x + 1761	$2$	[0,1]	$-\,7043$	$1$	$83.922583373$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.9587.1	x^2 - x + 2397	$2$	[0,1]	$-\,9587$	$1$	$97.9132268899$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.9931.1	x^2 - x + 2483	$2$	[0,1]	$-\,9931$	$1$	$99.6544028129$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.10867.1	x^2 - x + 2717	$2$	[0,1]	$-\,10867$	$1$	$104.244903952$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.10883.1	x^2 - x + 2721	$2$	[0,1]	$-\,10883$	$1$	$104.321618086$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.12203.1	x^2 - x + 3051	$2$	[0,1]	$-\,12203$	$1$	$110.467189699$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.12739.1	x^2 - x + 3185	$2$	[0,1]	$-\,12739$	$1$	$112.867178577$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.13099.1	x^2 - x + 3275	$2$	[0,1]	$-\,13099$	$1$	$114.450862819$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.13187.1	x^2 - x + 3297	$2$	[0,1]	$-\,13187$	$1$	$114.834663756$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.15307.1	x^2 - x + 3827	$2$	[0,1]	$-\,15307$	$1$	$123.721461356$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.15451.1	x^2 - x + 3863	$2$	[0,1]	$-\,15451$	$1$	$124.302051471$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.16267.1	x^2 - x + 4067	$2$	[0,1]	$-\,16267$	$1$	$127.542149896$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.17203.1	x^2 - x + 4301	$2$	[0,1]	$-\,17203$	$1$	$131.16020738$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.17851.1	x^2 - x + 4463	$2$	[0,1]	$-\,17851$	$1$	$133.607634512$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.18379.1	x^2 - x + 4595	$2$	[0,1]	$-\,18379$	$1$	$135.569170537$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.20323.1	x^2 - x + 5081	$2$	[0,1]	$-\,20323$	$1$	$142.558759815$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.20443.1	x^2 - x + 5111	$2$	[0,1]	$-\,20443$	$1$	$142.97901944$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.20899.1	x^2 - x + 5225	$2$	[0,1]	$-\,20899$	$1$	$144.564864334$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.21019.1	x^2 - x + 5255	$2$	[0,1]	$-\,21019$	$1$	$144.979308869$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.21163.1	x^2 - x + 5291	$2$	[0,1]	$-\,21163$	$1$	$145.475083777$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.22171.1	x^2 - x + 5543	$2$	[0,1]	$-\,22171$	$1$	$148.899294827$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.22531.1	x^2 - x + 5633	$2$	[0,1]	$-\,22531$	$1$	$150.103297765$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.2.23593.1	x^2 - x - 5898	$2$	[2,0]	$23593$	$1$	$153.600130208$		✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$1$	$7.33693733756$
2.0.24043.1	x^2 - x + 6011	$2$	[0,1]	$-\,24043$	$1$	$155.058053644$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.25147.1	x^2 - x + 6287	$2$	[0,1]	$-\,25147$	$1$	$158.57805649$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.25579.1	x^2 - x + 6395	$2$	[0,1]	$-\,25579$	$1$	$159.934361536$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.25939.1	x^2 - x + 6485	$2$	[0,1]	$-\,25939$	$1$	$161.05589092$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$
2.0.26251.1	x^2 - x + 6563	$2$	[0,1]	$-\,26251$	$1$	$162.021603498$	✓	✓	✓	$C_2$ (as 2T1)	$[23]$	$2$	$0$	$1$