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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
2.0.103.1 | x2 - x + 26 | $-\,103$ | $C_2$ (as 2T1) | $[5]$ |
2.0.104.1 | x2 + 26 | $-\,2^{3}\cdot 13$ | $C_2$ (as 2T1) | $[6]$ |
2.0.107.1 | x2 - x + 27 | $-\,107$ | $C_2$ (as 2T1) | $[3]$ |
2.0.111.1 | x2 - x + 28 | $-\,3\cdot 37$ | $C_2$ (as 2T1) | $[8]$ |
2.0.115.1 | x2 - x + 29 | $-\,5\cdot 23$ | $C_2$ (as 2T1) | $[2]$ |
2.0.116.1 | x2 + 29 | $-\,2^{2}\cdot 29$ | $C_2$ (as 2T1) | $[6]$ |
2.0.119.1 | x2 - x + 30 | $-\,7\cdot 17$ | $C_2$ (as 2T1) | $[10]$ |
2.0.120.1 | x2 + 30 | $-\,2^{3}\cdot 3\cdot 5$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.123.1 | x2 - x + 31 | $-\,3\cdot 41$ | $C_2$ (as 2T1) | $[2]$ |
2.0.127.1 | x2 - x + 32 | $-\,127$ | $C_2$ (as 2T1) | $[5]$ |
2.0.131.1 | x2 - x + 33 | $-\,131$ | $C_2$ (as 2T1) | $[5]$ |
2.0.132.1 | x2 + 33 | $-\,2^{2}\cdot 3\cdot 11$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.136.1 | x2 + 34 | $-\,2^{3}\cdot 17$ | $C_2$ (as 2T1) | $[4]$ |
2.0.139.1 | x2 - x + 35 | $-\,139$ | $C_2$ (as 2T1) | $[3]$ |
2.0.143.1 | x2 - x + 36 | $-\,11\cdot 13$ | $C_2$ (as 2T1) | $[10]$ |
2.0.148.1 | x2 + 37 | $-\,2^{2}\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.0.151.1 | x2 - x + 38 | $-\,151$ | $C_2$ (as 2T1) | $[7]$ |
2.0.152.1 | x2 + 38 | $-\,2^{3}\cdot 19$ | $C_2$ (as 2T1) | $[6]$ |
2.0.155.1 | x2 - x + 39 | $-\,5\cdot 31$ | $C_2$ (as 2T1) | $[4]$ |
2.0.159.1 | x2 - x + 40 | $-\,3\cdot 53$ | $C_2$ (as 2T1) | $[10]$ |
2.0.163.1 | x2 - x + 41 | $-\,163$ | $C_2$ (as 2T1) | trivial |
2.0.164.1 | x2 + 41 | $-\,2^{2}\cdot 41$ | $C_2$ (as 2T1) | $[8]$ |
2.0.167.1 | x2 - x + 42 | $-\,167$ | $C_2$ (as 2T1) | $[11]$ |
2.0.168.1 | x2 + 42 | $-\,2^{3}\cdot 3\cdot 7$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.179.1 | x2 - x + 45 | $-\,179$ | $C_2$ (as 2T1) | $[5]$ |
2.0.183.1 | x2 - x + 46 | $-\,3\cdot 61$ | $C_2$ (as 2T1) | $[8]$ |
2.0.184.1 | x2 + 46 | $-\,2^{3}\cdot 23$ | $C_2$ (as 2T1) | $[4]$ |
2.0.187.1 | x2 - x + 47 | $-\,11\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.0.191.1 | x2 - x + 48 | $-\,191$ | $C_2$ (as 2T1) | $[13]$ |
2.0.195.1 | x2 - x + 49 | $-\,3\cdot 5\cdot 13$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.199.1 | x2 - x + 50 | $-\,199$ | $C_2$ (as 2T1) | $[9]$ |
2.0.203.1 | x2 - x + 51 | $-\,7\cdot 29$ | $C_2$ (as 2T1) | $[4]$ |
2.0.211.1 | x2 - x + 53 | $-\,211$ | $C_2$ (as 2T1) | $[3]$ |
2.0.212.1 | x2 + 53 | $-\,2^{2}\cdot 53$ | $C_2$ (as 2T1) | $[6]$ |
2.0.215.1 | x2 - x + 54 | $-\,5\cdot 43$ | $C_2$ (as 2T1) | $[14]$ |
2.0.219.1 | x2 - x + 55 | $-\,3\cdot 73$ | $C_2$ (as 2T1) | $[4]$ |
2.0.223.1 | x2 - x + 56 | $-\,223$ | $C_2$ (as 2T1) | $[7]$ |
2.0.227.1 | x2 - x + 57 | $-\,227$ | $C_2$ (as 2T1) | $[5]$ |
2.0.228.1 | x2 + 57 | $-\,2^{2}\cdot 3\cdot 19$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.231.1 | x2 - x + 58 | $-\,3\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2, 6]$ |
2.0.232.1 | x2 + 58 | $-\,2^{3}\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.0.235.1 | x2 - x + 59 | $-\,5\cdot 47$ | $C_2$ (as 2T1) | $[2]$ |
2.0.239.1 | x2 - x + 60 | $-\,239$ | $C_2$ (as 2T1) | $[15]$ |
2.0.244.1 | x2 + 61 | $-\,2^{2}\cdot 61$ | $C_2$ (as 2T1) | $[6]$ |
2.0.247.1 | x2 - x + 62 | $-\,13\cdot 19$ | $C_2$ (as 2T1) | $[6]$ |
2.0.248.1 | x2 + 62 | $-\,2^{3}\cdot 31$ | $C_2$ (as 2T1) | $[8]$ |
2.0.251.1 | x2 - x + 63 | $-\,251$ | $C_2$ (as 2T1) | $[7]$ |
2.0.255.1 | x2 - x + 64 | $-\,3\cdot 5\cdot 17$ | $C_2$ (as 2T1) | $[2, 6]$ |
2.0.259.1 | x2 - x + 65 | $-\,7\cdot 37$ | $C_2$ (as 2T1) | $[4]$ |
2.0.260.1 | x2 + 65 | $-\,2^{2}\cdot 5\cdot 13$ | $C_2$ (as 2T1) | $[2, 4]$ |