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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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Degree Signature Class number Class group structure CM field
Ramified prime count Ramified Unramified primes Galois group Is Galois
Discriminant Root discriminant Regulator Intermediate field $p$-adic completions
Monogenic Index Ines. \(p\)
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Results (1-50 of 86554 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.119.1 x2 - x + 30 $-\,7\cdot 17$ $C_2$ (as 2T1) $[10]$ $1$
2.0.143.1 x2 - x + 36 $-\,11\cdot 13$ $C_2$ (as 2T1) $[10]$ $1$
2.0.159.1 x2 - x + 40 $-\,3\cdot 53$ $C_2$ (as 2T1) $[10]$ $1$
2.0.296.1 x2 + 74 $-\,2^{3}\cdot 37$ $C_2$ (as 2T1) $[10]$ $1$
2.0.303.1 x2 - x + 76 $-\,3\cdot 101$ $C_2$ (as 2T1) $[10]$ $1$
2.0.319.1 x2 - x + 80 $-\,11\cdot 29$ $C_2$ (as 2T1) $[10]$ $1$
2.0.344.1 x2 + 86 $-\,2^{3}\cdot 43$ $C_2$ (as 2T1) $[10]$ $1$
2.0.415.1 x2 - x + 104 $-\,5\cdot 83$ $C_2$ (as 2T1) $[10]$ $1$
2.0.488.1 x2 + 122 $-\,2^{3}\cdot 61$ $C_2$ (as 2T1) $[10]$ $1$
2.0.611.1 x2 - x + 153 $-\,13\cdot 47$ $C_2$ (as 2T1) $[10]$ $1$
2.0.635.1 x2 - x + 159 $-\,5\cdot 127$ $C_2$ (as 2T1) $[10]$ $1$
2.0.664.1 x2 + 166 $-\,2^{3}\cdot 83$ $C_2$ (as 2T1) $[10]$ $1$
2.0.699.1 x2 - x + 175 $-\,3\cdot 233$ $C_2$ (as 2T1) $[10]$ $1$
2.0.724.1 x2 + 181 $-\,2^{2}\cdot 181$ $C_2$ (as 2T1) $[10]$ $1$
2.0.779.1 x2 - x + 195 $-\,19\cdot 41$ $C_2$ (as 2T1) $[10]$ $1$
2.0.788.1 x2 + 197 $-\,2^{2}\cdot 197$ $C_2$ (as 2T1) $[10]$ $1$
2.0.803.1 x2 - x + 201 $-\,11\cdot 73$ $C_2$ (as 2T1) $[10]$ $1$
2.0.851.1 x2 - x + 213 $-\,23\cdot 37$ $C_2$ (as 2T1) $[10]$ $1$
2.0.872.1 x2 + 218 $-\,2^{3}\cdot 109$ $C_2$ (as 2T1) $[10]$ $1$
2.0.916.1 x2 + 229 $-\,2^{2}\cdot 229$ $C_2$ (as 2T1) $[10]$ $1$
2.0.923.1 x2 - x + 231 $-\,13\cdot 71$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1115.1 x2 - x + 279 $-\,5\cdot 223$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1268.1 x2 + 317 $-\,2^{2}\cdot 317$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1384.1 x2 + 346 $-\,2^{3}\cdot 173$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1492.1 x2 + 373 $-\,2^{2}\cdot 373$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1576.1 x2 + 394 $-\,2^{3}\cdot 197$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1643.1 x2 - x + 411 $-\,31\cdot 53$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1684.1 x2 + 421 $-\,2^{2}\cdot 421$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1688.1 x2 + 422 $-\,2^{3}\cdot 211$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1707.1 x2 - x + 427 $-\,3\cdot 569$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1779.1 x2 - x + 445 $-\,3\cdot 593$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1819.1 x2 - x + 455 $-\,17\cdot 107$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1835.1 x2 - x + 459 $-\,5\cdot 367$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1891.1 x2 - x + 473 $-\,31\cdot 61$ $C_2$ (as 2T1) $[10]$ $1$
2.0.1923.1 x2 - x + 481 $-\,3\cdot 641$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2152.1 x2 + 538 $-\,2^{3}\cdot 269$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2164.1 x2 + 541 $-\,2^{2}\cdot 541$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2363.1 x2 - x + 591 $-\,17\cdot 139$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2452.1 x2 + 613 $-\,2^{2}\cdot 613$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2643.1 x2 - x + 661 $-\,3\cdot 881$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2776.1 x2 + 694 $-\,2^{3}\cdot 347$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2836.1 x2 + 709 $-\,2^{2}\cdot 709$ $C_2$ (as 2T1) $[10]$ $1$
2.0.2899.1 x2 - x + 725 $-\,13\cdot 223$ $C_2$ (as 2T1) $[10]$ $1$
2.0.3028.1 x2 + 757 $-\,2^{2}\cdot 757$ $C_2$ (as 2T1) $[10]$ $1$
2.0.3091.1 x2 - x + 773 $-\,11\cdot 281$ $C_2$ (as 2T1) $[10]$ $1$
2.2.3129.1 x2 - x - 782 $3\cdot 7\cdot 149$ $C_2$ (as 2T1) $[10]$ $7.48997058673$
2.0.3139.1 x2 - x + 785 $-\,43\cdot 73$ $C_2$ (as 2T1) $[10]$ $1$
2.0.3147.1 x2 - x + 787 $-\,3\cdot 1049$ $C_2$ (as 2T1) $[10]$ $1$
2.0.3291.1 x2 - x + 823 $-\,3\cdot 1097$ $C_2$ (as 2T1) $[10]$ $1$
2.0.3412.1 x2 + 853 $-\,2^{2}\cdot 853$ $C_2$ (as 2T1) $[10]$ $1$
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