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Degree Signature Ramified prime count Ramified Unramified primes
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Discriminant Root discriminant Galois root discriminant CM field Relative class number
Regulator $p$-adic completions Monogenic Index Ines. \(p\)
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Results (1-50 of 68750 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.455.1 $x^{2} - x + 114$ $-\,5\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.615.1 $x^{2} - x + 154$ $-\,3\cdot 5\cdot 41$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.776.1 $x^{2} + 194$ $-\,2^{3}\cdot 97$ $C_2$ (as 2T1) $[20]$ $1$
2.0.824.1 $x^{2} + 206$ $-\,2^{3}\cdot 103$ $C_2$ (as 2T1) $[20]$ $1$
2.0.836.1 $x^{2} + 209$ $-\,2^{2}\cdot 11\cdot 19$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.920.1 $x^{2} + 230$ $-\,2^{3}\cdot 5\cdot 23$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1064.1 $x^{2} + 266$ $-\,2^{3}\cdot 7\cdot 19$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1124.1 $x^{2} + 281$ $-\,2^{2}\cdot 281$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1160.1 $x^{2} + 290$ $-\,2^{3}\cdot 5\cdot 29$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1263.1 $x^{2} - x + 316$ $-\,3\cdot 421$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1284.1 $x^{2} + 321$ $-\,2^{2}\cdot 3\cdot 107$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1460.1 $x^{2} + 365$ $-\,2^{2}\cdot 5\cdot 73$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1495.1 $x^{2} - x + 374$ $-\,5\cdot 13\cdot 23$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1524.1 $x^{2} + 381$ $-\,2^{2}\cdot 3\cdot 127$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1544.1 $x^{2} + 386$ $-\,2^{3}\cdot 193$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1592.1 $x^{2} + 398$ $-\,2^{3}\cdot 199$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1604.1 $x^{2} + 401$ $-\,2^{2}\cdot 401$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1652.1 $x^{2} + 413$ $-\,2^{2}\cdot 7\cdot 59$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1695.1 $x^{2} - x + 424$ $-\,3\cdot 5\cdot 113$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1739.1 $x^{2} - x + 435$ $-\,37\cdot 47$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1748.1 $x^{2} + 437$ $-\,2^{2}\cdot 19\cdot 23$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1796.1 $x^{2} + 449$ $-\,2^{2}\cdot 449$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1880.1 $x^{2} + 470$ $-\,2^{3}\cdot 5\cdot 47$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1887.1 $x^{2} - x + 472$ $-\,3\cdot 17\cdot 37$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1896.1 $x^{2} + 474$ $-\,2^{3}\cdot 3\cdot 79$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1928.1 $x^{2} + 482$ $-\,2^{3}\cdot 241$ $C_2$ (as 2T1) $[20]$ $1$
2.0.1940.1 $x^{2} + 485$ $-\,2^{2}\cdot 5\cdot 97$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.1956.1 $x^{2} + 489$ $-\,2^{2}\cdot 3\cdot 163$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2136.1 $x^{2} + 534$ $-\,2^{3}\cdot 3\cdot 89$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2247.1 $x^{2} - x + 562$ $-\,3\cdot 7\cdot 107$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2360.1 $x^{2} + 590$ $-\,2^{3}\cdot 5\cdot 59$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2404.1 $x^{2} + 601$ $-\,2^{2}\cdot 601$ $C_2$ (as 2T1) $[20]$ $1$
2.0.2407.1 $x^{2} - x + 602$ $-\,29\cdot 83$ $C_2$ (as 2T1) $[20]$ $1$
2.0.2483.1 $x^{2} - x + 621$ $-\,13\cdot 191$ $C_2$ (as 2T1) $[20]$ $1$
2.0.2487.1 $x^{2} - x + 622$ $-\,3\cdot 829$ $C_2$ (as 2T1) $[20]$ $1$
2.0.2532.1 $x^{2} + 633$ $-\,2^{2}\cdot 3\cdot 211$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2552.1 $x^{2} + 638$ $-\,2^{3}\cdot 11\cdot 29$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2596.1 $x^{2} + 649$ $-\,2^{2}\cdot 11\cdot 59$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2603.1 $x^{2} - x + 651$ $-\,19\cdot 137$ $C_2$ (as 2T1) $[20]$ $1$
2.0.2712.1 $x^{2} + 678$ $-\,2^{3}\cdot 3\cdot 113$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2724.1 $x^{2} + 681$ $-\,2^{2}\cdot 3\cdot 227$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2743.1 $x^{2} - x + 686$ $-\,13\cdot 211$ $C_2$ (as 2T1) $[20]$ $1$
2.0.2948.1 $x^{2} + 737$ $-\,2^{2}\cdot 11\cdot 67$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.2983.1 $x^{2} - x + 746$ $-\,19\cdot 157$ $C_2$ (as 2T1) $[20]$ $1$
2.0.2987.1 $x^{2} - x + 747$ $-\,29\cdot 103$ $C_2$ (as 2T1) $[20]$ $1$
2.0.3007.1 $x^{2} - x + 752$ $-\,31\cdot 97$ $C_2$ (as 2T1) $[20]$ $1$
2.0.3016.1 $x^{2} + 754$ $-\,2^{3}\cdot 13\cdot 29$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.0.3076.1 $x^{2} + 769$ $-\,2^{2}\cdot 769$ $C_2$ (as 2T1) $[20]$ $1$
2.0.3099.1 $x^{2} - x + 775$ $-\,3\cdot 1033$ $C_2$ (as 2T1) $[20]$ $1$
2.0.3103.1 $x^{2} - x + 776$ $-\,29\cdot 107$ $C_2$ (as 2T1) $[20]$ $1$
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