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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
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Results (1-50 of 143369 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.695.1 x2 - x + 174 $-\,5\cdot 139$ $C_2$ (as 2T1) $[24]$ $1$
2.0.759.1 x2 - x + 190 $-\,3\cdot 11\cdot 23$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.1191.1 x2 - x + 298 $-\,3\cdot 397$ $C_2$ (as 2T1) $[24]$ $1$
2.0.1316.1 x2 + 329 $-\,2^{2}\cdot 7\cdot 47$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.1351.1 x2 - x + 338 $-\,7\cdot 193$ $C_2$ (as 2T1) $[24]$ $1$
2.0.1407.1 x2 - x + 352 $-\,3\cdot 7\cdot 67$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.1615.1 x2 - x + 404 $-\,5\cdot 17\cdot 19$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.1704.1 x2 + 426 $-\,2^{3}\cdot 3\cdot 71$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.1736.1 x2 + 434 $-\,2^{3}\cdot 7\cdot 31$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.1743.1 x2 - x + 436 $-\,3\cdot 7\cdot 83$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.1988.1 x2 + 497 $-\,2^{2}\cdot 7\cdot 71$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.2168.1 x2 + 542 $-\,2^{3}\cdot 271$ $C_2$ (as 2T1) $[24]$ $1$
2.0.2184.1 x2 + 546 $-\,2^{3}\cdot 3\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.2219.1 x2 - x + 555 $-\,7\cdot 317$ $C_2$ (as 2T1) $[24]$ $1$
2.0.2372.1 x2 + 593 $-\,2^{2}\cdot 593$ $C_2$ (as 2T1) $[24]$ $1$
2.0.2408.1 x2 + 602 $-\,2^{3}\cdot 7\cdot 43$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.2479.1 x2 - x + 620 $-\,37\cdot 67$ $C_2$ (as 2T1) $[24]$ $1$
2.0.2660.1 x2 + 665 $-\,2^{2}\cdot 5\cdot 7\cdot 19$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.2696.1 x2 + 674 $-\,2^{3}\cdot 337$ $C_2$ (as 2T1) $[24]$ $1$
2.0.2820.1 x2 + 705 $-\,2^{2}\cdot 3\cdot 5\cdot 47$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.2824.1 x2 + 706 $-\,2^{3}\cdot 353$ $C_2$ (as 2T1) $[24]$ $1$
2.0.2852.1 x2 + 713 $-\,2^{2}\cdot 23\cdot 31$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.2856.1 x2 + 714 $-\,2^{3}\cdot 3\cdot 7\cdot 17$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.2915.1 x2 - x + 729 $-\,5\cdot 11\cdot 53$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.2964.1 x2 + 741 $-\,2^{2}\cdot 3\cdot 13\cdot 19$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.3059.1 x2 - x + 765 $-\,7\cdot 19\cdot 23$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.3064.1 x2 + 766 $-\,2^{3}\cdot 383$ $C_2$ (as 2T1) $[24]$ $1$
2.0.3127.1 x2 - x + 782 $-\,53\cdot 59$ $C_2$ (as 2T1) $[24]$ $1$
2.0.3128.1 x2 + 782 $-\,2^{3}\cdot 17\cdot 23$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.3444.1 x2 + 861 $-\,2^{2}\cdot 3\cdot 7\cdot 41$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.3540.1 x2 + 885 $-\,2^{2}\cdot 3\cdot 5\cdot 59$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.3560.1 x2 + 890 $-\,2^{3}\cdot 5\cdot 89$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.3604.1 x2 + 901 $-\,2^{2}\cdot 17\cdot 53$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.3620.1 x2 + 905 $-\,2^{2}\cdot 5\cdot 181$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.3720.1 x2 + 930 $-\,2^{3}\cdot 3\cdot 5\cdot 31$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.3864.1 x2 + 966 $-\,2^{3}\cdot 3\cdot 7\cdot 23$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.3876.1 x2 + 969 $-\,2^{2}\cdot 3\cdot 17\cdot 19$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
2.0.3891.1 x2 - x + 973 $-\,3\cdot 1297$ $C_2$ (as 2T1) $[24]$ $1$
2.0.3899.1 x2 - x + 975 $-\,7\cdot 557$ $C_2$ (as 2T1) $[24]$ $1$
2.0.3912.1 x2 + 978 $-\,2^{3}\cdot 3\cdot 163$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.3940.1 x2 + 985 $-\,2^{2}\cdot 5\cdot 197$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4063.1 x2 - x + 1016 $-\,17\cdot 239$ $C_2$ (as 2T1) $[24]$ $1$
2.0.4292.1 x2 + 1073 $-\,2^{2}\cdot 29\cdot 37$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4308.1 x2 + 1077 $-\,2^{2}\cdot 3\cdot 359$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4503.1 x2 - x + 1126 $-\,3\cdot 19\cdot 79$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4564.1 x2 + 1141 $-\,2^{2}\cdot 7\cdot 163$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4580.1 x2 + 1145 $-\,2^{2}\cdot 5\cdot 229$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4595.1 x2 - x + 1149 $-\,5\cdot 919$ $C_2$ (as 2T1) $[24]$ $1$
2.0.4632.1 x2 + 1158 $-\,2^{3}\cdot 3\cdot 193$ $C_2$ (as 2T1) $[2, 12]$ $1$
2.0.4692.1 x2 + 1173 $-\,2^{2}\cdot 3\cdot 17\cdot 23$ $C_2$ (as 2T1) $[2, 2, 6]$ $1$
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