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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 32091 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.215.1 x2 - x + 54 $-\,5\cdot 43$ $C_2$ (as 2T1) $[14]$ $1$
2.0.287.1 x2 - x + 72 $-\,7\cdot 41$ $C_2$ (as 2T1) $[14]$ $1$
2.0.391.1 x2 - x + 98 $-\,17\cdot 23$ $C_2$ (as 2T1) $[14]$ $1$
2.0.404.1 x2 + 101 $-\,2^{2}\cdot 101$ $C_2$ (as 2T1) $[14]$ $1$
2.0.447.1 x2 - x + 112 $-\,3\cdot 149$ $C_2$ (as 2T1) $[14]$ $1$
2.0.511.1 x2 - x + 128 $-\,7\cdot 73$ $C_2$ (as 2T1) $[14]$ $1$
2.0.535.1 x2 - x + 134 $-\,5\cdot 107$ $C_2$ (as 2T1) $[14]$ $1$
2.0.536.1 x2 + 134 $-\,2^{3}\cdot 67$ $C_2$ (as 2T1) $[14]$ $1$
2.0.596.1 x2 + 149 $-\,2^{2}\cdot 149$ $C_2$ (as 2T1) $[14]$ $1$
2.0.692.1 x2 + 173 $-\,2^{2}\cdot 173$ $C_2$ (as 2T1) $[14]$ $1$
2.0.703.1 x2 - x + 176 $-\,19\cdot 37$ $C_2$ (as 2T1) $[14]$ $1$
2.0.807.1 x2 - x + 202 $-\,3\cdot 269$ $C_2$ (as 2T1) $[14]$ $1$
2.0.899.1 x2 - x + 225 $-\,29\cdot 31$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1112.1 x2 + 278 $-\,2^{3}\cdot 139$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1211.1 x2 - x + 303 $-\,7\cdot 173$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1396.1 x2 + 349 $-\,2^{2}\cdot 349$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1403.1 x2 - x + 351 $-\,23\cdot 61$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1527.1 x2 - x + 382 $-\,3\cdot 509$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1816.1 x2 + 454 $-\,2^{3}\cdot 227$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1851.1 x2 - x + 463 $-\,3\cdot 617$ $C_2$ (as 2T1) $[14]$ $1$
2.0.1883.1 x2 - x + 471 $-\,7\cdot 269$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2008.1 x2 + 502 $-\,2^{3}\cdot 251$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2123.1 x2 - x + 531 $-\,11\cdot 193$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2147.1 x2 - x + 537 $-\,19\cdot 113$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2171.1 x2 - x + 543 $-\,13\cdot 167$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2335.1 x2 - x + 584 $-\,5\cdot 467$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2427.1 x2 - x + 607 $-\,3\cdot 809$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2507.1 x2 - x + 627 $-\,23\cdot 109$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2536.1 x2 + 634 $-\,2^{3}\cdot 317$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2571.1 x2 - x + 643 $-\,3\cdot 857$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2612.1 x2 + 653 $-\,2^{2}\cdot 653$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2779.1 x2 - x + 695 $-\,7\cdot 397$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2931.1 x2 - x + 733 $-\,3\cdot 977$ $C_2$ (as 2T1) $[14]$ $1$
2.0.2932.1 x2 + 733 $-\,2^{2}\cdot 733$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3112.1 x2 + 778 $-\,2^{3}\cdot 389$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3227.1 x2 - x + 807 $-\,7\cdot 461$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3352.1 x2 + 838 $-\,2^{3}\cdot 419$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3579.1 x2 - x + 895 $-\,3\cdot 1193$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3707.1 x2 - x + 927 $-\,11\cdot 337$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3715.1 x2 - x + 929 $-\,5\cdot 743$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3867.1 x2 - x + 967 $-\,3\cdot 1289$ $C_2$ (as 2T1) $[14]$ $1$
2.0.3988.1 x2 + 997 $-\,2^{2}\cdot 997$ $C_2$ (as 2T1) $[14]$ $1$
2.0.4187.1 x2 - x + 1047 $-\,53\cdot 79$ $C_2$ (as 2T1) $[14]$ $1$
2.0.4315.1 x2 - x + 1079 $-\,5\cdot 863$ $C_2$ (as 2T1) $[14]$ $1$
2.0.4443.1 x2 - x + 1111 $-\,3\cdot 1481$ $C_2$ (as 2T1) $[14]$ $1$
2.0.4468.1 x2 + 1117 $-\,2^{2}\cdot 1117$ $C_2$ (as 2T1) $[14]$ $1$
2.0.4659.1 x2 - x + 1165 $-\,3\cdot 1553$ $C_2$ (as 2T1) $[14]$ $1$
2.0.4803.1 x2 - x + 1201 $-\,3\cdot 1601$ $C_2$ (as 2T1) $[14]$ $1$
2.0.4948.1 x2 + 1237 $-\,2^{2}\cdot 1237$ $C_2$ (as 2T1) $[14]$ $1$
2.0.5027.1 x2 - x + 1257 $-\,11\cdot 457$ $C_2$ (as 2T1) $[14]$ $1$
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