## Results (displaying matches 1-50 of at least 1000) Next

Label Polynomial Discriminant Galois group Class group
1.1.1.1 x $$1$$ Trivial (as 1T1) Trivial
2.0.3.1 x2 - x + 1 $$-\,3$$ $C_2$ (as 2T1) Trivial
2.0.4.1 x2 + 1 $$-\,2^{2}$$ $C_2$ (as 2T1) Trivial
2.2.5.1 x2 - x - 1 $$5$$ $C_2$ (as 2T1) Trivial
2.0.7.1 x2 - x + 2 $$-\,7$$ $C_2$ (as 2T1) Trivial
2.0.8.1 x2 + 2 $$-\,2^{3}$$ $C_2$ (as 2T1) Trivial
2.2.8.1 x2 - 2 $$2^{3}$$ $C_2$ (as 2T1) Trivial
2.0.11.1 x2 - x + 3 $$-\,11$$ $C_2$ (as 2T1) Trivial
2.2.12.1 x2 - 3 $$2^{2}\cdot 3$$ $C_2$ (as 2T1) Trivial
2.2.13.1 x2 - x - 3 $$13$$ $C_2$ (as 2T1) Trivial
2.2.17.1 x2 - x - 4 $$17$$ $C_2$ (as 2T1) Trivial
2.0.19.1 x2 - x + 5 $$-\,19$$ $C_2$ (as 2T1) Trivial
2.2.21.1 x2 - x - 5 $$3\cdot 7$$ $C_2$ (as 2T1) Trivial
2.2.24.1 x2 - 6 $$2^{3}\cdot 3$$ $C_2$ (as 2T1) Trivial
2.2.28.1 x2 - 7 $$2^{2}\cdot 7$$ $C_2$ (as 2T1) Trivial
2.2.29.1 x2 - x - 7 $$29$$ $C_2$ (as 2T1) Trivial
2.2.33.1 x2 - x - 8 $$3\cdot 11$$ $C_2$ (as 2T1) Trivial
2.2.37.1 x2 - x - 9 $$37$$ $C_2$ (as 2T1) Trivial
2.2.41.1 x2 - x - 10 $$41$$ $C_2$ (as 2T1) Trivial
2.0.43.1 x2 - x + 11 $$-\,43$$ $C_2$ (as 2T1) Trivial
2.2.44.1 x2 - 11 $$2^{2}\cdot 11$$ $C_2$ (as 2T1) Trivial
2.2.53.1 x2 - x - 13 $$53$$ $C_2$ (as 2T1) Trivial
2.2.56.1 x2 - 14 $$2^{3}\cdot 7$$ $C_2$ (as 2T1) Trivial
2.2.57.1 x2 - x - 14 $$3\cdot 19$$ $C_2$ (as 2T1) Trivial
2.2.61.1 x2 - x - 15 $$61$$ $C_2$ (as 2T1) Trivial
2.0.67.1 x2 - x + 17 $$-\,67$$ $C_2$ (as 2T1) Trivial
2.2.69.1 x2 - x - 17 $$3\cdot 23$$ $C_2$ (as 2T1) Trivial
2.2.73.1 x2 - x - 18 $$73$$ $C_2$ (as 2T1) Trivial
2.2.76.1 x2 - 19 $$2^{2}\cdot 19$$ $C_2$ (as 2T1) Trivial
2.2.77.1 x2 - x - 19 $$7\cdot 11$$ $C_2$ (as 2T1) Trivial
2.2.88.1 x2 - 22 $$2^{3}\cdot 11$$ $C_2$ (as 2T1) Trivial
2.2.89.1 x2 - x - 22 $$89$$ $C_2$ (as 2T1) Trivial
2.2.92.1 x2 - 23 $$2^{2}\cdot 23$$ $C_2$ (as 2T1) Trivial
2.2.93.1 x2 - x - 23 $$3\cdot 31$$ $C_2$ (as 2T1) Trivial
2.2.97.1 x2 - x - 24 $$97$$ $C_2$ (as 2T1) Trivial
2.2.101.1 x2 - x - 25 $$101$$ $C_2$ (as 2T1) Trivial
2.2.109.1 x2 - x - 27 $$109$$ $C_2$ (as 2T1) Trivial
2.2.113.1 x2 - x - 28 $$113$$ $C_2$ (as 2T1) Trivial
2.2.124.1 x2 - 31 $$2^{2}\cdot 31$$ $C_2$ (as 2T1) Trivial
2.2.129.1 x2 - x - 32 $$3\cdot 43$$ $C_2$ (as 2T1) Trivial
2.2.133.1 x2 - x - 33 $$7\cdot 19$$ $C_2$ (as 2T1) Trivial
2.2.137.1 x2 - x - 34 $$137$$ $C_2$ (as 2T1) Trivial
2.2.141.1 x2 - x - 35 $$3\cdot 47$$ $C_2$ (as 2T1) Trivial
2.2.149.1 x2 - x - 37 $$149$$ $C_2$ (as 2T1) Trivial
2.2.152.1 x2 - 38 $$2^{3}\cdot 19$$ $C_2$ (as 2T1) Trivial
2.2.157.1 x2 - x - 39 $$157$$ $C_2$ (as 2T1) Trivial
2.2.161.1 x2 - x - 40 $$7\cdot 23$$ $C_2$ (as 2T1) Trivial
2.0.163.1 x2 - x + 41 $$-\,163$$ $C_2$ (as 2T1) Trivial
2.2.172.1 x2 - 43 $$2^{2}\cdot 43$$ $C_2$ (as 2T1) Trivial
2.2.173.1 x2 - x - 43 $$173$$ $C_2$ (as 2T1) Trivial
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