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Label Polynomial Discriminant Galois group Class group
2.2.5.1 x2 - x - 1 \( 5 \) $C_2$ Trivial
2.2.8.1 x2 - 2 \( 2^{3} \) $C_2$ Trivial
2.2.12.1 x2 - 3 \( 2^{2}\cdot 3 \) $C_2$ Trivial
2.2.13.1 x2 - x - 3 \( 13 \) $C_2$ Trivial
2.2.17.1 x2 - x - 4 \( 17 \) $C_2$ Trivial
2.2.21.1 x2 - x - 5 \( 3\cdot 7 \) $C_2$ Trivial
2.2.24.1 x2 - 6 \( 2^{3}\cdot 3 \) $C_2$ Trivial
2.2.28.1 x2 - 7 \( 2^{2}\cdot 7 \) $C_2$ Trivial
2.2.29.1 x2 - x - 7 \( 29 \) $C_2$ Trivial
2.2.33.1 x2 - x - 8 \( 3\cdot 11 \) $C_2$ Trivial
2.2.37.1 x2 - x - 9 \( 37 \) $C_2$ Trivial
2.2.40.1 x2 - 10 \( 2^{3}\cdot 5 \) $C_2$ $[2]$
2.2.41.1 x2 - x - 10 \( 41 \) $C_2$ Trivial
2.2.44.1 x2 - 11 \( 2^{2}\cdot 11 \) $C_2$ Trivial
2.2.53.1 x2 - x - 13 \( 53 \) $C_2$ Trivial
2.2.56.1 x2 - 14 \( 2^{3}\cdot 7 \) $C_2$ Trivial
2.2.57.1 x2 - x - 14 \( 3\cdot 19 \) $C_2$ Trivial
2.2.60.1 x2 - 15 \( 2^{2}\cdot 3\cdot 5 \) $C_2$ $[2]$
2.2.61.1 x2 - x - 15 \( 61 \) $C_2$ Trivial
2.2.65.1 x2 - x - 16 \( 5\cdot 13 \) $C_2$ $[2]$
2.2.69.1 x2 - x - 17 \( 3\cdot 23 \) $C_2$ Trivial
2.2.73.1 x2 - x - 18 \( 73 \) $C_2$ Trivial
2.2.76.1 x2 - 19 \( 2^{2}\cdot 19 \) $C_2$ Trivial
2.2.77.1 x2 - x - 19 \( 7\cdot 11 \) $C_2$ Trivial
2.2.85.1 x2 - x - 21 \( 5\cdot 17 \) $C_2$ $[2]$
2.2.88.1 x2 - 22 \( 2^{3}\cdot 11 \) $C_2$ Trivial
2.2.89.1 x2 - x - 22 \( 89 \) $C_2$ Trivial
2.2.92.1 x2 - 23 \( 2^{2}\cdot 23 \) $C_2$ Trivial
2.2.93.1 x2 - x - 23 \( 3\cdot 31 \) $C_2$ Trivial
2.2.97.1 x2 - x - 24 \( 97 \) $C_2$ Trivial
2.2.101.1 x2 - x - 25 \( 101 \) $C_2$ Trivial
2.2.104.1 x2 - 26 \( 2^{3}\cdot 13 \) $C_2$ $[2]$
2.2.105.1 x2 - x - 26 \( 3\cdot 5\cdot 7 \) $C_2$ $[2]$
2.2.109.1 x2 - x - 27 \( 109 \) $C_2$ Trivial
2.2.113.1 x2 - x - 28 \( 113 \) $C_2$ Trivial
2.2.120.1 x2 - 30 \( 2^{3}\cdot 3\cdot 5 \) $C_2$ $[2]$
2.2.124.1 x2 - 31 \( 2^{2}\cdot 31 \) $C_2$ Trivial
2.2.129.1 x2 - x - 32 \( 3\cdot 43 \) $C_2$ Trivial
2.2.133.1 x2 - x - 33 \( 7\cdot 19 \) $C_2$ Trivial
2.2.136.1 x2 - 34 \( 2^{3}\cdot 17 \) $C_2$ $[2]$
2.2.137.1 x2 - x - 34 \( 137 \) $C_2$ Trivial
2.2.140.1 x2 - 35 \( 2^{2}\cdot 5\cdot 7 \) $C_2$ $[2]$
2.2.141.1 x2 - x - 35 \( 3\cdot 47 \) $C_2$ Trivial
2.2.145.1 x2 - x - 36 \( 5\cdot 29 \) $C_2$ $[4]$
2.2.149.1 x2 - x - 37 \( 149 \) $C_2$ Trivial
2.2.152.1 x2 - 38 \( 2^{3}\cdot 19 \) $C_2$ Trivial
2.2.156.1 x2 - 39 \( 2^{2}\cdot 3\cdot 13 \) $C_2$ $[2]$
2.2.157.1 x2 - x - 39 \( 157 \) $C_2$ Trivial
2.2.161.1 x2 - x - 40 \( 7\cdot 23 \) $C_2$ Trivial
2.2.165.1 x2 - x - 41 \( 3\cdot 5\cdot 11 \) $C_2$ $[2]$

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