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Degree Signature Ramified prime count Ramified Unramified primes
Galois group Galois Intermediate field Class group structure Class number
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 2553120 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.3.1 $x^{2} - x + 1$ $-\,3$ $C_2$ (as 2T1) trivial $1$
2.2.24.1 $x^{2} - 6$ $2^{3}\cdot 3$ $C_2$ (as 2T1) trivial $2.29243166956$
2.2.33.1 $x^{2} - x - 8$ $3\cdot 11$ $C_2$ (as 2T1) trivial $3.82816847133$
2.0.39.1 $x^{2} - x + 10$ $-\,3\cdot 13$ $C_2$ (as 2T1) $[4]$ $1$
2.2.60.1 $x^{2} - 15$ $2^{2}\cdot 3\cdot 5$ $C_2$ (as 2T1) $[2]$ $2.0634370689$
2.2.69.1 $x^{2} - x - 17$ $3\cdot 23$ $C_2$ (as 2T1) trivial $3.21727197116$
2.0.84.1 $x^{2} + 21$ $-\,2^{2}\cdot 3\cdot 7$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.105.1 $x^{2} - x - 26$ $3\cdot 5\cdot 7$ $C_2$ (as 2T1) $[2]$ $4.40657049308$
2.0.111.1 $x^{2} - x + 28$ $-\,3\cdot 37$ $C_2$ (as 2T1) $[8]$ $1$
2.0.120.1 $x^{2} + 30$ $-\,2^{3}\cdot 3\cdot 5$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.141.1 $x^{2} - x - 35$ $3\cdot 47$ $C_2$ (as 2T1) trivial $5.24699637018$
2.2.168.1 $x^{2} - 42$ $2^{3}\cdot 3\cdot 7$ $C_2$ (as 2T1) $[2]$ $3.2566139548$
2.2.177.1 $x^{2} - x - 44$ $3\cdot 59$ $C_2$ (as 2T1) trivial $11.7348362567$
2.0.183.1 $x^{2} - x + 46$ $-\,3\cdot 61$ $C_2$ (as 2T1) $[8]$ $1$
2.2.204.1 $x^{2} - 51$ $2^{2}\cdot 3\cdot 17$ $C_2$ (as 2T1) $[2]$ $4.60507017098$
2.2.213.1 $x^{2} - x - 53$ $3\cdot 71$ $C_2$ (as 2T1) trivial $4.29027173584$
2.0.219.1 $x^{2} - x + 55$ $-\,3\cdot 73$ $C_2$ (as 2T1) $[4]$ $1$
2.0.228.1 $x^{2} + 57$ $-\,2^{2}\cdot 3\cdot 19$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.249.1 $x^{2} - x - 62$ $3\cdot 83$ $C_2$ (as 2T1) trivial $16.6550351208$
2.0.255.1 $x^{2} - x + 64$ $-\,3\cdot 5\cdot 17$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.0.264.1 $x^{2} + 66$ $-\,2^{3}\cdot 3\cdot 11$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.2.285.1 $x^{2} - x - 71$ $3\cdot 5\cdot 19$ $C_2$ (as 2T1) $[2]$ $2.82973503752$
2.0.291.1 $x^{2} - x + 73$ $-\,3\cdot 97$ $C_2$ (as 2T1) $[4]$ $1$
2.2.312.1 $x^{2} - 78$ $2^{3}\cdot 3\cdot 13$ $C_2$ (as 2T1) $[2]$ $4.66335008258$
2.2.321.1 $x^{2} - x - 80$ $3\cdot 107$ $C_2$ (as 2T1) $[3]$ $6.06377980031$
2.0.327.1 $x^{2} - x + 82$ $-\,3\cdot 109$ $C_2$ (as 2T1) $[12]$ $1$
2.2.348.1 $x^{2} - 87$ $2^{2}\cdot 3\cdot 29$ $C_2$ (as 2T1) $[2]$ $4.02503266055$
2.2.357.1 $x^{2} - x - 89$ $3\cdot 7\cdot 17$ $C_2$ (as 2T1) $[2]$ $2.94165731465$
2.0.372.1 $x^{2} + 93$ $-\,2^{2}\cdot 3\cdot 31$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.393.1 $x^{2} - x - 98$ $3\cdot 131$ $C_2$ (as 2T1) trivial $18.3467573732$
2.0.399.1 $x^{2} - x + 100$ $-\,3\cdot 7\cdot 19$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.0.408.1 $x^{2} + 102$ $-\,2^{3}\cdot 3\cdot 17$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.429.1 $x^{2} - x - 107$ $3\cdot 11\cdot 13$ $C_2$ (as 2T1) $[2]$ $4.9766861766$
2.0.435.1 $x^{2} - x + 109$ $-\,3\cdot 5\cdot 29$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.456.1 $x^{2} - 114$ $2^{3}\cdot 3\cdot 19$ $C_2$ (as 2T1) $[2]$ $7.62559483418$
2.2.465.1 $x^{2} - x - 116$ $3\cdot 5\cdot 31$ $C_2$ (as 2T1) $[2]$ $10.3653960031$
2.0.471.1 $x^{2} - x + 118$ $-\,3\cdot 157$ $C_2$ (as 2T1) $[16]$ $1$
2.2.492.1 $x^{2} - 123$ $2^{2}\cdot 3\cdot 41$ $C_2$ (as 2T1) $[2]$ $5.49715142831$
2.2.501.1 $x^{2} - x - 125$ $3\cdot 167$ $C_2$ (as 2T1) trivial $10.2479633878$
2.0.516.1 $x^{2} + 129$ $-\,2^{2}\cdot 3\cdot 43$ $C_2$ (as 2T1) $[2, 6]$ $1$
2.2.537.1 $x^{2} - x - 134$ $3\cdot 179$ $C_2$ (as 2T1) trivial $19.7679715759$
2.0.543.1 $x^{2} - x + 136$ $-\,3\cdot 181$ $C_2$ (as 2T1) $[12]$ $1$
2.0.552.1 $x^{2} + 138$ $-\,2^{3}\cdot 3\cdot 23$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.2.573.1 $x^{2} - x - 143$ $3\cdot 191$ $C_2$ (as 2T1) trivial $6.64118046545$
2.0.579.1 $x^{2} - x + 145$ $-\,3\cdot 193$ $C_2$ (as 2T1) $[8]$ $1$
2.2.609.1 $x^{2} - x - 152$ $3\cdot 7\cdot 29$ $C_2$ (as 2T1) $[2]$ $14.0072790186$
2.0.615.1 $x^{2} - x + 154$ $-\,3\cdot 5\cdot 41$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.2.636.1 $x^{2} - 159$ $2^{2}\cdot 3\cdot 53$ $C_2$ (as 2T1) $[2]$ $7.88155977444$
2.2.645.1 $x^{2} - x - 161$ $3\cdot 5\cdot 43$ $C_2$ (as 2T1) $[2]$ $4.84412508057$
2.0.651.1 $x^{2} - x + 163$ $-\,3\cdot 7\cdot 31$ $C_2$ (as 2T1) $[2, 4]$ $1$
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