LMFDB - Number field search results

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Degree	Signature	Class number	Class group structure	CM field

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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
2.0.71.1	x² - x + 18	$2$	[0,1]	$-\,71$	$1$	$8.42614977318$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.151.1	x² - x + 38	$2$	[0,1]	$-\,151$	$1$	$12.2882057274$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.223.1	x² - x + 56	$2$	[0,1]	$-\,223$	$1$	$14.9331845231$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.251.1	x² - x + 63	$2$	[0,1]	$-\,251$	$1$	$15.8429795178$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.463.1	x² - x + 116	$2$	[0,1]	$-\,463$	$1$	$21.5174347914$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.467.1	x² - x + 117	$2$	[0,1]	$-\,467$	$1$	$21.610182785$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.487.1	x² - x + 122	$2$	[0,1]	$-\,487$	$1$	$22.0680764907$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.577.1	x² - x - 144	$2$	[2,0]	$577$	$1$	$24.0208242989$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$3.87163475639$
2.0.587.1	x² - x + 147	$2$	[0,1]	$-\,587$	$1$	$24.2280828792$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.811.1	x² - x + 203	$2$	[0,1]	$-\,811$	$1$	$28.4780617318$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.827.1	x² - x + 207	$2$	[0,1]	$-\,827$	$1$	$28.7576076891$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.859.1	x² - x + 215	$2$	[0,1]	$-\,859$	$1$	$29.3087017795$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.1009.1	x² - x - 252	$2$	[2,0]	$1009$	$1$	$31.7647603485$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$6.98471717746$
2.0.1163.1	x² - x + 291	$2$	[0,1]	$-\,1163$	$1$	$34.10278581$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.1171.1	x² - x + 293	$2$	[0,1]	$-\,1171$	$1$	$34.2198772645$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.1483.1	x² - x + 371	$2$	[0,1]	$-\,1483$	$1$	$38.5097390279$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.1523.1	x² - x + 381	$2$	[0,1]	$-\,1523$	$1$	$39.0256326022$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.1601.1	x² - x - 400	$2$	[2,0]	$1601$	$1$	$40.0124980475$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$4.38218284807$
2.0.1627.1	x² - x + 407	$2$	[0,1]	$-\,1627$	$1$	$40.3360880602$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.1761.1	x² - x - 440	$2$	[2,0]	$3\cdot 587$	$2$	$41.9642705167$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$7.76217042606$
2.0.1787.1	x² - x + 447	$2$	[0,1]	$-\,1787$	$1$	$42.2729227757$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.1987.1	x² - x + 497	$2$	[0,1]	$-\,1987$	$1$	$44.575778176$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.2011.1	x² - x + 503	$2$	[0,1]	$-\,2011$	$1$	$44.8441746496$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.2029.1	x² - x - 507	$2$	[2,0]	$2029$	$1$	$45.0444225182$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$3.80715595153$
2.0.2083.1	x² - x + 521	$2$	[0,1]	$-\,2083$	$1$	$45.639894829$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.2179.1	x² - x + 545	$2$	[0,1]	$-\,2179$	$1$	$46.6797600679$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.2251.1	x² - x + 563	$2$	[0,1]	$-\,2251$	$1$	$47.4447046571$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.2467.1	x² - x + 617	$2$	[0,1]	$-\,2467$	$1$	$49.6689037528$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.2707.1	x² - x + 677	$2$	[0,1]	$-\,2707$	$1$	$52.0288381573$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.2913.1	x² - x - 728	$2$	[2,0]	$3\cdot 971$	$2$	$53.9722150741$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$8.26513556372$
2.0.3019.1	x² - x + 755	$2$	[0,1]	$-\,3019$	$1$	$54.9454274713$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.3067.1	x² - x + 767	$2$	[0,1]	$-\,3067$	$1$	$55.380501984$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.3187.1	x² - x + 797	$2$	[0,1]	$-\,3187$	$1$	$56.4535207051$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.3907.1	x² - x + 977	$2$	[0,1]	$-\,3907$	$1$	$62.505999712$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.4229.1	x² - x - 1057	$2$	[2,0]	$4229$	$1$	$65.0307619516$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$4.1746238723$
2.2.4348.1	x² - 1087	$2$	[2,0]	$2^{2}\cdot 1087$	$2$	$65.9393660873$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$7.68524339678$
2.0.4603.1	x² - x + 1151	$2$	[0,1]	$-\,4603$	$1$	$67.8454125199$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.0.5107.1	x² - x + 1277	$2$	[0,1]	$-\,5107$	$1$	$71.4632772828$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.5176.1	x² - 1294	$2$	[2,0]	$2^{3}\cdot 647$	$2$	$71.9444229944$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$7.85941300562$
2.2.5273.1	x² - x - 1318	$2$	[2,0]	$5273$	$1$	$72.6154253585$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$7.54327362725$
2.2.5417.1	x² - x - 1354	$2$	[2,0]	$5417$	$1$	$73.6002717386$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$6.60123196478$
2.0.5923.1	x² - x + 1481	$2$	[0,1]	$-\,5923$	$1$	$76.9610290991$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$0$	$1$
2.2.7736.1	x² - 1934	$2$	[2,0]	$2^{3}\cdot 967$	$2$	$87.9545337092$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$8.26100971925$
2.2.8097.1	x² - x - 2024	$2$	[2,0]	$3\cdot 2699$	$2$	$89.9833317898$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$9.2871162022$
2.2.8661.1	x² - x - 2165	$2$	[2,0]	$3\cdot 2887$	$2$	$93.0644937664$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$7.9672800588$
2.2.8773.1	x² - x - 2193	$2$	[2,0]	$31\cdot 283$	$2$	$93.6642941574$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$5.63834200461$
2.2.9004.1	x² - 2251	$2$	[2,0]	$2^{2}\cdot 2251$	$2$	$94.8894093142$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$12.8067206916$
2.2.9029.1	x² - x - 2257	$2$	[2,0]	$9029$	$1$	$95.0210502994$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$4.55398767651$
2.2.9049.1	x² - x - 2262	$2$	[2,0]	$9049$	$1$	$95.1262319237$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$21.5062273665$
2.2.9101.1	x² - x - 2275	$2$	[2,0]	$19\cdot 479$	$2$	$95.3991614219$		✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$6.16751209582$

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Elliptic curves over $\Q$
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