LMFDB - Number field search results

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Degree	Signature	Class number	Class group structure	CM field

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Results (1-50 of 596377 matches)

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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
2.0.23.1	x² - x + 6	$2$	[0,1]	$-\,23$	$1$	$4.79583152331$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.31.1	x² - x + 8	$2$	[0,1]	$-\,31$	$1$	$5.56776436283$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.59.1	x² - x + 15	$2$	[0,1]	$-\,59$	$1$	$7.68114574787$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.83.1	x² - x + 21	$2$	[0,1]	$-\,83$	$1$	$9.11043357914$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.107.1	x² - x + 27	$2$	[0,1]	$-\,107$	$1$	$10.3440804328$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.139.1	x² - x + 35	$2$	[0,1]	$-\,139$	$1$	$11.7898261226$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.211.1	x² - x + 53	$2$	[0,1]	$-\,211$	$1$	$14.5258390463$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.2.229.1	x² - x - 57	$2$	[2,0]	$229$	$1$	$15.1327459504$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$2.71246530518$
2.2.257.1	x² - x - 64	$2$	[2,0]	$257$	$1$	$16.0312195419$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$3.46671103788$
2.0.283.1	x² - x + 71	$2$	[0,1]	$-\,283$	$1$	$16.8226038413$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.307.1	x² - x + 77	$2$	[0,1]	$-\,307$	$1$	$17.5214154679$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.2.316.1	x² - 79	$2$	[2,0]	$2^{2}\cdot 79$	$2$	$17.7763888346$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$5.07513475044$
2.2.321.1	x² - x - 80	$2$	[2,0]	$3\cdot 107$	$2$	$17.9164728672$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.06377980031$
2.0.331.1	x² - x + 83	$2$	[0,1]	$-\,331$	$1$	$18.1934053987$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.379.1	x² - x + 95	$2$	[0,1]	$-\,379$	$1$	$19.4679223339$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.2.469.1	x² - x - 117	$2$	[2,0]	$7\cdot 67$	$2$	$21.6564078277$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$4.17415049943$
2.2.473.1	x² - x - 118	$2$	[2,0]	$11\cdot 43$	$2$	$21.7485631709$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$5.15902226812$
2.0.499.1	x² - x + 125	$2$	[0,1]	$-\,499$	$1$	$22.3383079037$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.0.547.1	x² - x + 137	$2$	[0,1]	$-\,547$	$1$	$23.3880311271$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.2.568.1	x² - 142	$2$	[2,0]	$2^{3}\cdot 71$	$2$	$23.8327505756$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$5.65597958506$
2.0.643.1	x² - x + 161	$2$	[0,1]	$-\,643$	$1$	$25.3574446662$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.2.733.1	x² - x - 183	$2$	[2,0]	$733$	$1$	$27.0739727414$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$3.29720579418$
2.2.761.1	x² - x - 190	$2$	[2,0]	$761$	$1$	$27.5862284483$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$7.37775929885$
2.0.883.1	x² - x + 221	$2$	[0,1]	$-\,883$	$1$	$29.7153159162$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.2.892.1	x² - 223	$2$	[2,0]	$2^{2}\cdot 223$	$2$	$29.8663690461$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.10478824992$
2.0.907.1	x² - x + 227	$2$	[0,1]	$-\,907$	$1$	$30.1164406928$	✓	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$0$	$1$
2.2.993.1	x² - x - 248	$2$	[2,0]	$3\cdot 331$	$2$	$31.5119025132$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$8.57432934711$
2.2.1016.1	x² - 254	$2$	[2,0]	$2^{3}\cdot 127$	$2$	$31.874754901$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.23440688102$
2.2.1101.1	x² - x - 275	$2$	[2,0]	$3\cdot 367$	$2$	$33.1813200461$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$5.8998898474$
2.2.1229.1	x² - x - 307	$2$	[2,0]	$1229$	$1$	$35.0570962859$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$3.55616339025$
2.2.1257.1	x² - x - 314	$2$	[2,0]	$3\cdot 419$	$2$	$35.4541958025$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$12.2199656887$
2.2.1304.1	x² - 326	$2$	[2,0]	$2^{3}\cdot 163$	$2$	$36.1109401705$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.47696999602$
2.2.1373.1	x² - x - 343	$2$	[2,0]	$1373$	$1$	$37.0540146273$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$3.61164757377$
2.2.1436.1	x² - 359	$2$	[2,0]	$2^{2}\cdot 359$	$2$	$37.894590643$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.57924928299$
2.2.1489.1	x² - x - 372	$2$	[2,0]	$1489$	$1$	$38.5875627631$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$19.108657903$
2.2.1509.1	x² - x - 377	$2$	[2,0]	$3\cdot 503$	$2$	$38.8458491991$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.22455450807$
2.2.1772.1	x² - 443	$2$	[2,0]	$2^{2}\cdot 443$	$2$	$42.0951303597$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.78445578297$
2.2.1901.1	x² - x - 475	$2$	[2,0]	$1901$	$1$	$43.6004587132$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.07764750381$
2.2.1929.1	x² - x - 482	$2$	[2,0]	$3\cdot 643$	$2$	$43.920382512$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$19.3512250493$
2.2.1957.1	x² - x - 489	$2$	[2,0]	$19\cdot 103$	$2$	$44.2379927212$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.83410758012$
2.2.2021.1	x² - x - 505	$2$	[2,0]	$43\cdot 47$	$2$	$44.955533586$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$3.80616829641$
2.2.2089.1	x² - x - 522	$2$	[2,0]	$2089$	$1$	$45.7055795281$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$22.8072764595$
2.2.2101.1	x² - x - 525	$2$	[2,0]	$11\cdot 191$	$2$	$45.8366665455$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$10.222014007$
2.2.2177.1	x² - x - 544	$2$	[2,0]	$7\cdot 311$	$2$	$46.6583325892$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$9.32349046193$
2.2.2213.1	x² - x - 553	$2$	[2,0]	$2213$	$1$	$47.0425339454$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$3.85059998815$
2.2.2429.1	x² - x - 607	$2$	[2,0]	$7\cdot 347$	$2$	$49.2848861214$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$5.84353601533$
2.2.2557.1	x² - x - 639	$2$	[2,0]	$2557$	$1$	$50.5667875191$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$9.54731248874$
2.2.2589.1	x² - x - 647	$2$	[2,0]	$3\cdot 863$	$2$	$50.8822169328$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$6.76272817043$
2.2.2636.1	x² - 659	$2$	[2,0]	$2^{2}\cdot 659$	$2$	$51.341990612$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$9.38092666544$
2.2.2677.1	x² - x - 669	$2$	[2,0]	$2677$	$1$	$51.7397332811$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$8.23668539281$

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