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Ramified prime count Ramified Unramified primes Galois group Galois
Discriminant Root discriminant Galois root discriminant Regulator Intermediate field
$p$-adic completions Minimal sibling Monogenic Index Ines. \(p\)
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Results (1-50 of 718492 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.2.65.1 $x^{2} - x - 16$ $5\cdot 13$ $C_2$ (as 2T1) $[2]$ $2.77647228072$
2.0.91.1 $x^{2} - x + 23$ $-\,7\cdot 13$ $C_2$ (as 2T1) $[2]$ $1$
2.0.104.1 $x^{2} + 26$ $-\,2^{3}\cdot 13$ $C_2$ (as 2T1) $[6]$ $1$
2.2.104.1 $x^{2} - 26$ $2^{3}\cdot 13$ $C_2$ (as 2T1) $[2]$ $2.31243834127$
2.0.143.1 $x^{2} - x + 36$ $-\,11\cdot 13$ $C_2$ (as 2T1) $[10]$ $1$
2.0.195.1 $x^{2} - x + 49$ $-\,3\cdot 5\cdot 13$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.0.247.1 $x^{2} - x + 62$ $-\,13\cdot 19$ $C_2$ (as 2T1) $[6]$ $1$
2.0.260.1 $x^{2} + 65$ $-\,2^{2}\cdot 5\cdot 13$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.2.273.1 $x^{2} - x - 68$ $3\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2]$ $7.28207318508$
2.0.312.1 $x^{2} + 78$ $-\,2^{3}\cdot 3\cdot 13$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.312.1 $x^{2} - 78$ $2^{3}\cdot 3\cdot 13$ $C_2$ (as 2T1) $[2]$ $4.66335008258$
2.2.364.1 $x^{2} - 91$ $2^{2}\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2]$ $8.05452250863$
2.0.403.1 $x^{2} - x + 101$ $-\,13\cdot 31$ $C_2$ (as 2T1) $[2]$ $1$
2.2.429.1 $x^{2} - x - 107$ $3\cdot 11\cdot 13$ $C_2$ (as 2T1) $[2]$ $4.9766861766$
2.2.481.1 $x^{2} - x - 120$ $13\cdot 37$ $C_2$ (as 2T1) $[2]$ $14.4721389718$
2.2.533.1 $x^{2} - x - 133$ $13\cdot 41$ $C_2$ (as 2T1) $[2]$ $3.13737923732$
2.2.572.1 $x^{2} - 143$ $2^{2}\cdot 11\cdot 13$ $C_2$ (as 2T1) $[2]$ $3.17631318059$
2.0.611.1 $x^{2} - x + 153$ $-\,13\cdot 47$ $C_2$ (as 2T1) $[10]$ $1$
2.2.741.1 $x^{2} - x - 185$ $3\cdot 13\cdot 19$ $C_2$ (as 2T1) $[2]$ $5.5012415504$
2.0.767.1 $x^{2} - x + 192$ $-\,13\cdot 59$ $C_2$ (as 2T1) $[22]$ $1$
2.2.780.1 $x^{2} - 195$ $2^{2}\cdot 3\cdot 5\cdot 13$ $C_2$ (as 2T1) $[2, 2]$ $3.33092655264$
2.0.871.1 $x^{2} - x + 218$ $-\,13\cdot 67$ $C_2$ (as 2T1) $[22]$ $1$
2.0.923.1 $x^{2} - x + 231$ $-\,13\cdot 71$ $C_2$ (as 2T1) $[10]$ $1$
2.2.949.1 $x^{2} - x - 237$ $13\cdot 73$ $C_2$ (as 2T1) $[2]$ $10.394671537$
2.2.988.1 $x^{2} - 247$ $2^{2}\cdot 13\cdot 19$ $C_2$ (as 2T1) $[2]$ $12.046983123$
2.0.1079.1 $x^{2} - x + 270$ $-\,13\cdot 83$ $C_2$ (as 2T1) $[34]$ $1$
2.0.1092.1 $x^{2} + 273$ $-\,2^{2}\cdot 3\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2, 2, 2]$ $1$
2.2.1105.1 $x^{2} - x - 276$ $5\cdot 13\cdot 17$ $C_2$ (as 2T1) $[2, 2]$ $10.9503854058$
2.2.1157.1 $x^{2} - x - 289$ $13\cdot 89$ $C_2$ (as 2T1) $[2]$ $4.21972389803$
2.2.1209.1 $x^{2} - x - 302$ $3\cdot 13\cdot 31$ $C_2$ (as 2T1) $[2]$ $18.5522235231$
2.2.1261.1 $x^{2} - x - 315$ $13\cdot 97$ $C_2$ (as 2T1) $[2]$ $11.2773423624$
2.2.1417.1 $x^{2} - x - 354$ $13\cdot 109$ $C_2$ (as 2T1) $[2]$ $21.9112401264$
2.0.1443.1 $x^{2} - x + 361$ $-\,3\cdot 13\cdot 37$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.0.1495.1 $x^{2} - x + 374$ $-\,5\cdot 13\cdot 23$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1547.1 $x^{2} - x + 387$ $-\,7\cdot 13\cdot 17$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.0.1599.1 $x^{2} - x + 400$ $-\,3\cdot 13\cdot 41$ $C_2$ (as 2T1) $[2, 18]$ $1$
2.2.1612.1 $x^{2} - 403$ $2^{2}\cdot 13\cdot 31$ $C_2$ (as 2T1) $[2]$ $14.1079980658$
2.0.1716.1 $x^{2} + 429$ $-\,2^{2}\cdot 3\cdot 11\cdot 13$ $C_2$ (as 2T1) $[2, 2, 4]$ $1$
2.0.1768.1 $x^{2} + 442$ $-\,2^{3}\cdot 13\cdot 17$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.2.1768.1 $x^{2} - 442$ $2^{3}\cdot 13\cdot 17$ $C_2$ (as 2T1) $[2, 4]$ $3.73823603026$
2.2.1781.1 $x^{2} - x - 445$ $13\cdot 137$ $C_2$ (as 2T1) $[2]$ $5.35188059403$
2.2.1833.1 $x^{2} - x - 458$ $3\cdot 13\cdot 47$ $C_2$ (as 2T1) $[2]$ $15.9564664432$
2.2.1885.1 $x^{2} - x - 471$ $5\cdot 13\cdot 29$ $C_2$ (as 2T1) $[2, 2]$ $6.9488963013$
2.0.1924.1 $x^{2} + 481$ $-\,2^{2}\cdot 13\cdot 37$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.2.1937.1 $x^{2} - x - 484$ $13\cdot 149$ $C_2$ (as 2T1) $[6]$ $4.4774659217$
2.0.1963.1 $x^{2} - x + 491$ $-\,13\cdot 151$ $C_2$ (as 2T1) $[6]$ $1$
2.2.2093.1 $x^{2} - x - 523$ $7\cdot 13\cdot 23$ $C_2$ (as 2T1) $[2]$ $5.90262586818$
2.0.2119.1 $x^{2} - x + 530$ $-\,13\cdot 163$ $C_2$ (as 2T1) $[34]$ $1$
2.0.2132.1 $x^{2} + 533$ $-\,2^{2}\cdot 13\cdot 41$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.0.2171.1 $x^{2} - x + 543$ $-\,13\cdot 167$ $C_2$ (as 2T1) $[14]$ $1$
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