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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 198799 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.2.172.1 $x^{2} - 43$ $2^{2}\cdot 43$ $C_2$ (as 2T1) trivial $8.84850928027$
2.0.215.1 $x^{2} - x + 54$ $-\,5\cdot 43$ $C_2$ (as 2T1) $[14]$ $1$
2.0.344.1 $x^{2} + 86$ $-\,2^{3}\cdot 43$ $C_2$ (as 2T1) $[10]$ $1$
2.2.473.1 $x^{2} - x - 118$ $11\cdot 43$ $C_2$ (as 2T1) $[3]$ $5.15902226812$
2.0.516.1 $x^{2} + 129$ $-\,2^{2}\cdot 3\cdot 43$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.2.645.1 $x^{2} - x - 161$ $3\cdot 5\cdot 43$ $C_2$ (as 2T1) $[2]$ $4.84412508057$
2.2.989.1 $x^{2} - x - 247$ $23\cdot 43$ $C_2$ (as 2T1) trivial $11.5448600834$
2.2.1032.1 $x^{2} - 258$ $2^{3}\cdot 3\cdot 43$ $C_2$ (as 2T1) $[2]$ $6.24221948037$
2.0.1204.1 $x^{2} + 301$ $-\,2^{2}\cdot 7\cdot 43$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.0.1247.1 $x^{2} - x + 312$ $-\,29\cdot 43$ $C_2$ (as 2T1) $[26]$ $1$
2.2.1333.1 $x^{2} - x - 333$ $31\cdot 43$ $C_2$ (as 2T1) trivial $11.3745480635$
2.0.1419.1 $x^{2} - x + 355$ $-\,3\cdot 11\cdot 43$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.2.1505.1 $x^{2} - x - 376$ $5\cdot 7\cdot 43$ $C_2$ (as 2T1) $[2]$ $16.9909243231$
2.0.1591.1 $x^{2} - x + 398$ $-\,37\cdot 43$ $C_2$ (as 2T1) $[22]$ $1$
2.2.1720.1 $x^{2} - 430$ $2^{3}\cdot 5\cdot 43$ $C_2$ (as 2T1) $[2]$ $15.5602661167$
2.2.2021.1 $x^{2} - x - 505$ $43\cdot 47$ $C_2$ (as 2T1) $[3]$ $3.80616829641$
2.2.2236.1 $x^{2} - 559$ $2^{2}\cdot 13\cdot 43$ $C_2$ (as 2T1) $[2]$ $20.7363168902$
2.2.2408.1 $x^{2} - 602$ $2^{3}\cdot 7\cdot 43$ $C_2$ (as 2T1) $[2]$ $7.22548094309$
2.2.2537.1 $x^{2} - x - 634$ $43\cdot 59$ $C_2$ (as 2T1) trivial $23.5296056981$
2.0.2623.1 $x^{2} - x + 656$ $-\,43\cdot 61$ $C_2$ (as 2T1) $[22]$ $1$
2.0.2795.1 $x^{2} - x + 699$ $-\,5\cdot 13\cdot 43$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.2.2881.1 $x^{2} - x - 720$ $43\cdot 67$ $C_2$ (as 2T1) trivial $91.2144103695$
2.2.2924.1 $x^{2} - 731$ $2^{2}\cdot 17\cdot 43$ $C_2$ (as 2T1) $[4]$ $7.28619124557$
2.0.2967.1 $x^{2} - x + 742$ $-\,3\cdot 23\cdot 43$ $C_2$ (as 2T1) $[2, 22]$ $1$
2.0.3139.1 $x^{2} - x + 785$ $-\,43\cdot 73$ $C_2$ (as 2T1) $[10]$ $1$
2.0.3268.1 $x^{2} + 817$ $-\,2^{2}\cdot 19\cdot 43$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.0.3311.1 $x^{2} - x + 828$ $-\,7\cdot 11\cdot 43$ $C_2$ (as 2T1) $[2, 36]$ $1$
2.2.3397.1 $x^{2} - x - 849$ $43\cdot 79$ $C_2$ (as 2T1) trivial $32.1617866194$
2.2.3569.1 $x^{2} - x - 892$ $43\cdot 83$ $C_2$ (as 2T1) $[3]$ $18.258208284$
2.2.3612.1 $x^{2} - 903$ $2^{2}\cdot 3\cdot 7\cdot 43$ $C_2$ (as 2T1) $[2, 2]$ $7.09174142296$
2.0.3655.1 $x^{2} - x + 914$ $-\,5\cdot 17\cdot 43$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.2.3741.1 $x^{2} - x - 935$ $3\cdot 29\cdot 43$ $C_2$ (as 2T1) $[2]$ $14.2607718546$
2.0.3784.1 $x^{2} + 946$ $-\,2^{3}\cdot 11\cdot 43$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.0.3827.1 $x^{2} - x + 957$ $-\,43\cdot 89$ $C_2$ (as 2T1) $[22]$ $1$
2.0.3999.1 $x^{2} - x + 1000$ $-\,3\cdot 31\cdot 43$ $C_2$ (as 2T1) $[2, 24]$ $1$
2.2.4085.1 $x^{2} - x - 1021$ $5\cdot 19\cdot 43$ $C_2$ (as 2T1) $[2]$ $10.1663516906$
2.2.4429.1 $x^{2} - x - 1107$ $43\cdot 103$ $C_2$ (as 2T1) trivial $37.4393843459$
2.0.4472.1 $x^{2} + 1118$ $-\,2^{3}\cdot 13\cdot 43$ $C_2$ (as 2T1) $[2, 18]$ $1$
2.0.4515.1 $x^{2} - x + 1129$ $-\,3\cdot 5\cdot 7\cdot 43$ $C_2$ (as 2T1) $[2, 2, 4]$ $1$
2.2.4601.1 $x^{2} - x - 1150$ $43\cdot 107$ $C_2$ (as 2T1) trivial $75.4372286566$
2.2.4773.1 $x^{2} - x - 1193$ $3\cdot 37\cdot 43$ $C_2$ (as 2T1) $[2]$ $7.37085977048$
2.0.4859.1 $x^{2} - x + 1215$ $-\,43\cdot 113$ $C_2$ (as 2T1) $[30]$ $1$
2.0.5160.1 $x^{2} + 1290$ $-\,2^{3}\cdot 3\cdot 5\cdot 43$ $C_2$ (as 2T1) $[2, 2, 4]$ $1$
2.2.5461.1 $x^{2} - x - 1365$ $43\cdot 127$ $C_2$ (as 2T1) trivial $58.3812755296$
2.0.5848.1 $x^{2} + 1462$ $-\,2^{3}\cdot 17\cdot 43$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.0.5891.1 $x^{2} - x + 1473$ $-\,43\cdot 137$ $C_2$ (as 2T1) $[26]$ $1$
2.2.5977.1 $x^{2} - x - 1494$ $43\cdot 139$ $C_2$ (as 2T1) trivial $95.5306564809$
2.0.6063.1 $x^{2} - x + 1516$ $-\,3\cdot 43\cdot 47$ $C_2$ (as 2T1) $[2, 18]$ $1$
2.2.6149.1 $x^{2} - x - 1537$ $11\cdot 13\cdot 43$ $C_2$ (as 2T1) $[2]$ $10.6292229221$
2.0.6407.1 $x^{2} - x + 1602$ $-\,43\cdot 149$ $C_2$ (as 2T1) $[46]$ $1$
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