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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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Ramified prime count Ramified Unramified primes Galois group Is Galois
Discriminant Root discriminant Regulator Intermediate field $p$-adic completions
Monogenic Index Ines. \(p\)
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Results (1-50 of 78125 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.335.1 x2 - x + 84 $-\,5\cdot 67$ $C_2$ (as 2T1) $[18]$ $1$
2.0.519.1 x2 - x + 130 $-\,3\cdot 173$ $C_2$ (as 2T1) $[18]$ $1$
2.0.527.1 x2 - x + 132 $-\,17\cdot 31$ $C_2$ (as 2T1) $[18]$ $1$
2.0.679.1 x2 - x + 170 $-\,7\cdot 97$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1135.1 x2 - x + 284 $-\,5\cdot 227$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1172.1 x2 + 293 $-\,2^{2}\cdot 293$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1207.1 x2 - x + 302 $-\,17\cdot 71$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1383.1 x2 - x + 346 $-\,3\cdot 461$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1448.1 x2 + 362 $-\,2^{3}\cdot 181$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1687.1 x2 - x + 422 $-\,7\cdot 241$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1691.1 x2 - x + 423 $-\,19\cdot 89$ $C_2$ (as 2T1) $[18]$ $1$
2.0.1927.1 x2 - x + 482 $-\,41\cdot 47$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2047.1 x2 - x + 512 $-\,23\cdot 89$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2051.1 x2 - x + 513 $-\,7\cdot 293$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2167.1 x2 - x + 542 $-\,11\cdot 197$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2228.1 x2 + 557 $-\,2^{2}\cdot 557$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2291.1 x2 - x + 573 $-\,29\cdot 79$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2315.1 x2 - x + 579 $-\,5\cdot 463$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2344.1 x2 + 586 $-\,2^{3}\cdot 293$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2644.1 x2 + 661 $-\,2^{2}\cdot 661$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2747.1 x2 - x + 687 $-\,41\cdot 67$ $C_2$ (as 2T1) $[18]$ $1$
2.0.2859.1 x2 - x + 715 $-\,3\cdot 953$ $C_2$ (as 2T1) $[18]$ $1$
2.0.3035.1 x2 - x + 759 $-\,5\cdot 607$ $C_2$ (as 2T1) $[18]$ $1$
2.0.3107.1 x2 - x + 777 $-\,13\cdot 239$ $C_2$ (as 2T1) $[18]$ $1$
2.0.3543.1 x2 - x + 886 $-\,3\cdot 1181$ $C_2$ (as 2T1) $[18]$ $1$
2.0.3544.1 x2 + 886 $-\,2^{3}\cdot 443$ $C_2$ (as 2T1) $[18]$ $1$
2.0.3651.1 x2 - x + 913 $-\,3\cdot 1217$ $C_2$ (as 2T1) $[18]$ $1$
2.0.3688.1 x2 + 922 $-\,2^{3}\cdot 461$ $C_2$ (as 2T1) $[18]$ $1$
2.0.4072.1 x2 + 1018 $-\,2^{3}\cdot 509$ $C_2$ (as 2T1) $[18]$ $1$
2.0.4299.1 x2 - x + 1075 $-\,3\cdot 1433$ $C_2$ (as 2T1) $[18]$ $1$
2.0.4307.1 x2 - x + 1077 $-\,59\cdot 73$ $C_2$ (as 2T1) $[18]$ $1$
2.0.4568.1 x2 + 1142 $-\,2^{3}\cdot 571$ $C_2$ (as 2T1) $[18]$ $1$
2.0.4819.1 x2 - x + 1205 $-\,61\cdot 79$ $C_2$ (as 2T1) $[18]$ $1$
2.0.4883.1 x2 - x + 1221 $-\,19\cdot 257$ $C_2$ (as 2T1) $[18]$ $1$
2.0.5224.1 x2 + 1306 $-\,2^{3}\cdot 653$ $C_2$ (as 2T1) $[18]$ $1$
2.0.5315.1 x2 - x + 1329 $-\,5\cdot 1063$ $C_2$ (as 2T1) $[18]$ $1$
2.0.5464.1 x2 + 1366 $-\,2^{3}\cdot 683$ $C_2$ (as 2T1) $[18]$ $1$
2.0.5492.1 x2 + 1373 $-\,2^{2}\cdot 1373$ $C_2$ (as 2T1) $[18]$ $1$
2.0.5539.1 x2 - x + 1385 $-\,29\cdot 191$ $C_2$ (as 2T1) $[18]$ $1$
2.0.5899.1 x2 - x + 1475 $-\,17\cdot 347$ $C_2$ (as 2T1) $[18]$ $1$
2.0.6196.1 x2 + 1549 $-\,2^{2}\cdot 1549$ $C_2$ (as 2T1) $[18]$ $1$
2.0.6227.1 x2 - x + 1557 $-\,13\cdot 479$ $C_2$ (as 2T1) $[18]$ $1$
2.0.6331.1 x2 - x + 1583 $-\,13\cdot 487$ $C_2$ (as 2T1) $[18]$ $1$
2.0.6387.1 x2 - x + 1597 $-\,3\cdot 2129$ $C_2$ (as 2T1) $[18]$ $1$
2.0.6484.1 x2 + 1621 $-\,2^{2}\cdot 1621$ $C_2$ (as 2T1) $[18]$ $1$
2.0.6739.1 x2 - x + 1685 $-\,23\cdot 293$ $C_2$ (as 2T1) $[18]$ $1$
2.0.6835.1 x2 - x + 1709 $-\,5\cdot 1367$ $C_2$ (as 2T1) $[18]$ $1$
2.0.7323.1 x2 - x + 1831 $-\,3\cdot 2441$ $C_2$ (as 2T1) $[18]$ $1$
2.0.7339.1 x2 - x + 1835 $-\,41\cdot 179$ $C_2$ (as 2T1) $[18]$ $1$
2.2.7465.1 x2 - x - 1866 $5\cdot 1493$ $C_2$ (as 2T1) $[18]$ $6.76157410839$
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