↑

Learn more

Refine search

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. \(p\)
Minimal sibling
Sort order Select

Results (1-50 of 685501 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
2.0.3.1 $x^{2} - x + 1$ $-\,3$ $C_2$ (as 2T1) trivial $1$
2.0.4.1 $x^{2} + 1$ $-\,2^{2}$ $C_2$ (as 2T1) trivial $1$
2.0.7.1 $x^{2} - x + 2$ $-\,7$ $C_2$ (as 2T1) trivial $1$
2.0.8.1 $x^{2} + 2$ $-\,2^{3}$ $C_2$ (as 2T1) trivial $1$
2.0.11.1 $x^{2} - x + 3$ $-\,11$ $C_2$ (as 2T1) trivial $1$
2.0.15.1 $x^{2} - x + 4$ $-\,3\cdot 5$ $C_2$ (as 2T1) $[2]$ $1$
2.0.19.1 $x^{2} - x + 5$ $-\,19$ $C_2$ (as 2T1) trivial $1$
2.0.20.1 $x^{2} + 5$ $-\,2^{2}\cdot 5$ $C_2$ (as 2T1) $[2]$ $1$
2.0.23.1 $x^{2} - x + 6$ $-\,23$ $C_2$ (as 2T1) $[3]$ $1$
2.0.24.1 $x^{2} + 6$ $-\,2^{3}\cdot 3$ $C_2$ (as 2T1) $[2]$ $1$
2.0.31.1 $x^{2} - x + 8$ $-\,31$ $C_2$ (as 2T1) $[3]$ $1$
2.0.35.1 $x^{2} - x + 9$ $-\,5\cdot 7$ $C_2$ (as 2T1) $[2]$ $1$
2.0.39.1 $x^{2} - x + 10$ $-\,3\cdot 13$ $C_2$ (as 2T1) $[4]$ $1$
2.0.40.1 $x^{2} + 10$ $-\,2^{3}\cdot 5$ $C_2$ (as 2T1) $[2]$ $1$
2.0.43.1 $x^{2} - x + 11$ $-\,43$ $C_2$ (as 2T1) trivial $1$
2.0.47.1 $x^{2} - x + 12$ $-\,47$ $C_2$ (as 2T1) $[5]$ $1$
2.0.51.1 $x^{2} - x + 13$ $-\,3\cdot 17$ $C_2$ (as 2T1) $[2]$ $1$
2.0.52.1 $x^{2} + 13$ $-\,2^{2}\cdot 13$ $C_2$ (as 2T1) $[2]$ $1$
2.0.55.1 $x^{2} - x + 14$ $-\,5\cdot 11$ $C_2$ (as 2T1) $[4]$ $1$
2.0.56.1 $x^{2} + 14$ $-\,2^{3}\cdot 7$ $C_2$ (as 2T1) $[4]$ $1$
2.0.59.1 $x^{2} - x + 15$ $-\,59$ $C_2$ (as 2T1) $[3]$ $1$
2.0.67.1 $x^{2} - x + 17$ $-\,67$ $C_2$ (as 2T1) trivial $1$
2.0.68.1 $x^{2} + 17$ $-\,2^{2}\cdot 17$ $C_2$ (as 2T1) $[4]$ $1$
2.0.71.1 $x^{2} - x + 18$ $-\,71$ $C_2$ (as 2T1) $[7]$ $1$
2.0.79.1 $x^{2} - x + 20$ $-\,79$ $C_2$ (as 2T1) $[5]$ $1$
2.0.83.1 $x^{2} - x + 21$ $-\,83$ $C_2$ (as 2T1) $[3]$ $1$
2.0.84.1 $x^{2} + 21$ $-\,2^{2}\cdot 3\cdot 7$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.0.87.1 $x^{2} - x + 22$ $-\,3\cdot 29$ $C_2$ (as 2T1) $[6]$ $1$
2.0.88.1 $x^{2} + 22$ $-\,2^{3}\cdot 11$ $C_2$ (as 2T1) $[2]$ $1$
2.0.91.1 $x^{2} - x + 23$ $-\,7\cdot 13$ $C_2$ (as 2T1) $[2]$ $1$
2.0.95.1 $x^{2} - x + 24$ $-\,5\cdot 19$ $C_2$ (as 2T1) $[8]$ $1$
2.0.103.1 $x^{2} - x + 26$ $-\,103$ $C_2$ (as 2T1) $[5]$ $1$
2.0.104.1 $x^{2} + 26$ $-\,2^{3}\cdot 13$ $C_2$ (as 2T1) $[6]$ $1$
2.0.107.1 $x^{2} - x + 27$ $-\,107$ $C_2$ (as 2T1) $[3]$ $1$
2.0.111.1 $x^{2} - x + 28$ $-\,3\cdot 37$ $C_2$ (as 2T1) $[8]$ $1$
2.0.115.1 $x^{2} - x + 29$ $-\,5\cdot 23$ $C_2$ (as 2T1) $[2]$ $1$
2.0.116.1 $x^{2} + 29$ $-\,2^{2}\cdot 29$ $C_2$ (as 2T1) $[6]$ $1$
2.0.119.1 $x^{2} - x + 30$ $-\,7\cdot 17$ $C_2$ (as 2T1) $[10]$ $1$
2.0.120.1 $x^{2} + 30$ $-\,2^{3}\cdot 3\cdot 5$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.0.123.1 $x^{2} - x + 31$ $-\,3\cdot 41$ $C_2$ (as 2T1) $[2]$ $1$
2.0.127.1 $x^{2} - x + 32$ $-\,127$ $C_2$ (as 2T1) $[5]$ $1$
2.0.131.1 $x^{2} - x + 33$ $-\,131$ $C_2$ (as 2T1) $[5]$ $1$
2.0.132.1 $x^{2} + 33$ $-\,2^{2}\cdot 3\cdot 11$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.0.136.1 $x^{2} + 34$ $-\,2^{3}\cdot 17$ $C_2$ (as 2T1) $[4]$ $1$
2.0.139.1 $x^{2} - x + 35$ $-\,139$ $C_2$ (as 2T1) $[3]$ $1$
2.0.143.1 $x^{2} - x + 36$ $-\,11\cdot 13$ $C_2$ (as 2T1) $[10]$ $1$
2.0.148.1 $x^{2} + 37$ $-\,2^{2}\cdot 37$ $C_2$ (as 2T1) $[2]$ $1$
2.0.151.1 $x^{2} - x + 38$ $-\,151$ $C_2$ (as 2T1) $[7]$ $1$
2.0.152.1 $x^{2} + 38$ $-\,2^{3}\cdot 19$ $C_2$ (as 2T1) $[6]$ $1$
2.0.155.1 $x^{2} - x + 39$ $-\,5\cdot 31$ $C_2$ (as 2T1) $[4]$ $1$
Next   displayed columns for results