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Degree Signature Ramified prime count Ramified Unramified primes
Galois group Field is Intermediate field Class group structure Class number
Discriminant Root discriminant Galois root discriminant CM field Relative class number
Regulator $p$-adic completions Monogenic Index Ines. \(p\)
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Results (1-50 of 229715 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.2.185.1 $x^{2} - x - 46$ $5\cdot 37$ $C_2$ (as 2T1) $[2]$ $4.9127089471$
2.0.296.1 $x^{2} + 74$ $-\,2^{3}\cdot 37$ $C_2$ (as 2T1) $[10]$ $1$
2.2.296.1 $x^{2} - 74$ $2^{3}\cdot 37$ $C_2$ (as 2T1) $[2]$ $4.45448247706$
2.2.481.1 $x^{2} - x - 120$ $13\cdot 37$ $C_2$ (as 2T1) $[2]$ $14.4721389718$
2.0.555.1 $x^{2} - x + 139$ $-\,3\cdot 5\cdot 37$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.629.1 $x^{2} - x - 157$ $17\cdot 37$ $C_2$ (as 2T1) $[2]$ $3.22047199846$
2.0.703.1 $x^{2} - x + 176$ $-\,19\cdot 37$ $C_2$ (as 2T1) $[14]$ $1$
2.0.740.1 $x^{2} + 185$ $-\,2^{2}\cdot 5\cdot 37$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.0.851.1 $x^{2} - x + 213$ $-\,23\cdot 37$ $C_2$ (as 2T1) $[10]$ $1$
2.0.888.1 $x^{2} + 222$ $-\,2^{3}\cdot 3\cdot 37$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.2.888.1 $x^{2} - 222$ $2^{3}\cdot 3\cdot 37$ $C_2$ (as 2T1) $[2]$ $5.69708222556$
2.2.1073.1 $x^{2} - x - 268$ $29\cdot 37$ $C_2$ (as 2T1) $[2]$ $11.4157094704$
2.0.1147.1 $x^{2} - x + 287$ $-\,31\cdot 37$ $C_2$ (as 2T1) $[6]$ $1$
2.0.1295.1 $x^{2} - x + 324$ $-\,5\cdot 7\cdot 37$ $C_2$ (as 2T1) $[2, 18]$ $1$
2.0.1443.1 $x^{2} - x + 361$ $-\,3\cdot 13\cdot 37$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.0.1591.1 $x^{2} - x + 398$ $-\,37\cdot 43$ $C_2$ (as 2T1) $[22]$ $1$
2.0.1887.1 $x^{2} - x + 472$ $-\,3\cdot 17\cdot 37$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1924.1 $x^{2} + 481$ $-\,2^{2}\cdot 13\cdot 37$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.0.2035.1 $x^{2} - x + 509$ $-\,5\cdot 11\cdot 37$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.0.2072.1 $x^{2} + 518$ $-\,2^{3}\cdot 7\cdot 37$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.2.2072.1 $x^{2} - 518$ $2^{3}\cdot 7\cdot 37$ $C_2$ (as 2T1) $[2]$ $8.46252574545$
2.2.2109.1 $x^{2} - x - 527$ $3\cdot 19\cdot 37$ $C_2$ (as 2T1) $[2]$ $11.6852387725$
2.0.2183.1 $x^{2} - x + 546$ $-\,37\cdot 59$ $C_2$ (as 2T1) $[42]$ $1$
2.2.2220.1 $x^{2} - 555$ $2^{2}\cdot 3\cdot 5\cdot 37$ $C_2$ (as 2T1) $[2, 2]$ $8.19643673526$
2.2.2257.1 $x^{2} - x - 564$ $37\cdot 61$ $C_2$ (as 2T1) $[2]$ $25.3224077178$
2.0.2516.1 $x^{2} + 629$ $-\,2^{2}\cdot 17\cdot 37$ $C_2$ (as 2T1) $[2, 18]$ $1$
2.2.2553.1 $x^{2} - x - 638$ $3\cdot 23\cdot 37$ $C_2$ (as 2T1) $[2]$ $19.8428503389$
2.2.2812.1 $x^{2} - 703$ $2^{2}\cdot 19\cdot 37$ $C_2$ (as 2T1) $[2]$ $14.6563636957$
2.0.2923.1 $x^{2} - x + 731$ $-\,37\cdot 79$ $C_2$ (as 2T1) $[6]$ $1$
2.0.3219.1 $x^{2} - x + 805$ $-\,3\cdot 29\cdot 37$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.3256.1 $x^{2} + 814$ $-\,2^{3}\cdot 11\cdot 37$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.2.3256.1 $x^{2} - 814$ $2^{3}\cdot 11\cdot 37$ $C_2$ (as 2T1) $[2]$ $29.760916241$
2.2.3293.1 $x^{2} - x - 823$ $37\cdot 89$ $C_2$ (as 2T1) $[2]$ $7.30787322999$
2.0.3367.1 $x^{2} - x + 842$ $-\,7\cdot 13\cdot 37$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.2.3404.1 $x^{2} - 851$ $2^{2}\cdot 23\cdot 37$ $C_2$ (as 2T1) $[2]$ $16.6390981938$
2.2.3441.1 $x^{2} - x - 860$ $3\cdot 31\cdot 37$ $C_2$ (as 2T1) $[2]$ $40.8224684545$
2.2.3589.1 $x^{2} - x - 897$ $37\cdot 97$ $C_2$ (as 2T1) $[2]$ $20.2615181312$
2.0.3811.1 $x^{2} - x + 953$ $-\,37\cdot 103$ $C_2$ (as 2T1) $[10]$ $1$
2.2.3885.1 $x^{2} - x - 971$ $3\cdot 5\cdot 7\cdot 37$ $C_2$ (as 2T1) $[2, 2]$ $5.23108001887$
2.2.4033.1 $x^{2} - x - 1008$ $37\cdot 109$ $C_2$ (as 2T1) $[2]$ $45.3311422775$
2.2.4181.1 $x^{2} - x - 1045$ $37\cdot 113$ $C_2$ (as 2T1) $[2]$ $13.8082190393$
2.0.4292.1 $x^{2} + 1073$ $-\,2^{2}\cdot 29\cdot 37$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4403.1 $x^{2} - x + 1101$ $-\,7\cdot 17\cdot 37$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.2.4588.1 $x^{2} - 1147$ $2^{2}\cdot 31\cdot 37$ $C_2$ (as 2T1) $[2]$ $23.6621263716$
2.2.4773.1 $x^{2} - x - 1193$ $3\cdot 37\cdot 43$ $C_2$ (as 2T1) $[2]$ $7.37085977048$
2.0.4847.1 $x^{2} - x + 1212$ $-\,37\cdot 131$ $C_2$ (as 2T1) $[74]$ $1$
2.2.4921.1 $x^{2} - x - 1230$ $7\cdot 19\cdot 37$ $C_2$ (as 2T1) $[2]$ $61.5823719019$
2.2.5180.1 $x^{2} - 1295$ $2^{2}\cdot 5\cdot 7\cdot 37$ $C_2$ (as 2T1) $[2, 2]$ $4.27647316194$
2.0.5291.1 $x^{2} - x + 1323$ $-\,11\cdot 13\cdot 37$ $C_2$ (as 2T1) $[2, 18]$ $1$
2.2.5772.1 $x^{2} - 1443$ $2^{2}\cdot 3\cdot 13\cdot 37$ $C_2$ (as 2T1) $[2, 4]$ $4.33056016511$
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