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Note: Search results may be incomplete. Given $p$-adic completions contain an unramified field and completions are only searched for ramified primes.

Note: Search results may be incomplete due to uncomputed quantities: local_algs (140954 objects)

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Label Polynomial Discriminant Galois group Class group Regulator
3.1.876.1 x3 - x2 - x - 11 $-\,2^{2}\cdot 3\cdot 73$ $S_3$ (as 3T2) trivial $5.94796000997$
3.3.1825.1 x3 - x2 - 8x + 7 $5^{2}\cdot 73$ $S_3$ (as 3T2) trivial $4.48807298189$
3.1.1971.1 x3 - 9x - 20 $-\,3^{3}\cdot 73$ $S_3$ (as 3T2) trivial $11.1179700318$
3.1.2555.1 x3 - x2 + 14x - 4 $-\,5\cdot 7\cdot 73$ $S_3$ (as 3T2) trivial $9.76411086644$
3.1.2920.1 x3 - x2 - 6x - 10 $-\,2^{3}\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial $18.9538117722$
3.3.2920.1 x3 - x2 - 15x - 5 $2^{3}\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial $17.9415860841$
3.3.2993.1 x3 - x2 - 12x + 17 $41\cdot 73$ $S_3$ (as 3T2) trivial $7.51407984191$
3.1.3212.1 x3 + 8x - 20 $-\,2^{2}\cdot 11\cdot 73$ $S_3$ (as 3T2) trivial $6.02364102111$
3.1.3431.1 x3 - x2 + 14x - 16 $-\,47\cdot 73$ $S_3$ (as 3T2) $[2]$ $10.9231828967$
3.1.3723.1 x3 - x2 + x - 12 $-\,3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[4]$ $4.08125605174$
3.1.3796.1 x3 - x2 + 8x + 6 $-\,2^{2}\cdot 13\cdot 73$ $S_3$ (as 3T2) trivial $17.9412342226$
3.1.4307.1 x3 - 4x - 13 $-\,59\cdot 73$ $S_3$ (as 3T2) trivial $10.2743270005$
3.1.5548.1 x3 + 4x - 14 $-\,2^{2}\cdot 19\cdot 73$ $S_3$ (as 3T2) $[2]$ $6.78336752394$
3.3.5621.1 x3 - x2 - 21x - 28 $7\cdot 11\cdot 73$ $S_3$ (as 3T2) trivial $22.7920161354$
3.1.5767.1 x3 - x2 + 12x - 45 $-\,73\cdot 79$ $S_3$ (as 3T2) trivial $7.75919344984$
3.1.6132.1 x3 + 9x - 44 $-\,2^{2}\cdot 3\cdot 7\cdot 73$ $S_3$ (as 3T2) trivial $34.5756663055$
3.1.6643.1 x3 - x2 + 13x - 48 $-\,7\cdot 13\cdot 73$ $S_3$ (as 3T2) trivial $19.7618971606$
3.1.7300.1 x3 - x2 + 12x + 2 $-\,2^{2}\cdot 5^{2}\cdot 73$ $S_3$ (as 3T2) trivial $32.5162033253$
3.3.7665.1 x3 - x2 - 26x + 21 $3\cdot 5\cdot 7\cdot 73$ $S_3$ (as 3T2) trivial $21.4003853711$
3.1.7811.1 x3 - x2 + 3x + 16 $-\,73\cdot 107$ $S_3$ (as 3T2) trivial $9.47968037272$
3.1.7884.1 x3 - 18x - 34 $-\,2^{2}\cdot 3^{3}\cdot 73$ $S_3$ (as 3T2) $[3]$ $4.03840765945$
3.1.7884.2 x3 + 12x - 6 $-\,2^{2}\cdot 3^{3}\cdot 73$ $S_3$ (as 3T2) $[3]$ $3.93067780292$
3.1.8103.1 x3 - 9x - 53 $-\,3\cdot 37\cdot 73$ $S_3$ (as 3T2) trivial $11.4759709888$
3.1.8395.1 x3 - x2 - 5x + 20 $-\,5\cdot 23\cdot 73$ $S_3$ (as 3T2) $[7]$ $3.31924620059$
3.1.8468.1 x3 - x2 + 12x + 28 $-\,2^{2}\cdot 29\cdot 73$ $S_3$ (as 3T2) trivial $25.5123361824$
3.3.8468.1 x3 - x2 - 27x - 43 $2^{2}\cdot 29\cdot 73$ $S_3$ (as 3T2) $[2]$ $11.8995903551$
3.1.8687.1 x3 - x2 - 22x - 37 $-\,7\cdot 17\cdot 73$ $S_3$ (as 3T2) trivial $8.74257411025$
3.1.8760.1 x3 + 3x - 54 $-\,2^{3}\cdot 3\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial $42.8982977897$
3.1.8979.1 x3 - x2 + 25x - 36 $-\,3\cdot 41\cdot 73$ $S_3$ (as 3T2) trivial $28.4953200144$
3.3.9052.1 x3 - x2 - 23x + 31 $2^{2}\cdot 31\cdot 73$ $S_3$ (as 3T2) trivial $30.7894192003$
3.1.9271.1 x3 - x2 - 12x + 29 $-\,73\cdot 127$ $S_3$ (as 3T2) trivial $7.10991083362$
3.1.9563.1 x3 - 16x - 31 $-\,73\cdot 131$ $S_3$ (as 3T2) trivial $14.8770936504$
3.1.9855.1 x3 + 3x - 19 $-\,3^{3}\cdot 5\cdot 73$ $S_3$ (as 3T2) trivial $12.4434149295$
3.1.9928.1 x3 - x2 - 8x + 80 $-\,2^{3}\cdot 17\cdot 73$ $S_3$ (as 3T2) trivial $32.1865041609$
3.1.10804.1 x3 + x - 20 $-\,2^{2}\cdot 37\cdot 73$ $S_3$ (as 3T2) trivial $44.0441751666$
3.1.11023.1 x3 - x2 - 6x + 63 $-\,73\cdot 151$ $S_3$ (as 3T2) trivial $14.5307591928$
3.1.11607.1 x3 - x2 + 30x - 9 $-\,3\cdot 53\cdot 73$ $S_3$ (as 3T2) $[2]$ $8.34829656904$
3.1.11899.1 x3 - x2 + 3x + 20 $-\,73\cdot 163$ $S_3$ (as 3T2) trivial $29.2384202354$
3.1.11972.1 x3 - x2 + 8x - 22 $-\,2^{2}\cdot 41\cdot 73$ $S_3$ (as 3T2) trivial $23.5001594976$
3.1.12556.1 x3 - 8x - 44 $-\,2^{2}\cdot 43\cdot 73$ $S_3$ (as 3T2) trivial $14.6093493212$
3.1.13067.1 x3 - x - 44 $-\,73\cdot 179$ $S_3$ (as 3T2) trivial $19.1576187174$
3.1.13359.1 x3 - x2 - 6x - 21 $-\,3\cdot 61\cdot 73$ $S_3$ (as 3T2) $[2]$ $8.26230880019$
3.3.14089.1 x3 - x2 - 22x + 41 $73\cdot 193$ $S_3$ (as 3T2) trivial $7.0215106937$
3.1.14235.1 x3 + 12x - 67 $-\,3\cdot 5\cdot 13\cdot 73$ $S_3$ (as 3T2) trivial $42.6861700546$
3.1.14308.1 x3 - x2 - 23x + 71 $-\,2^{2}\cdot 7^{2}\cdot 73$ $S_3$ (as 3T2) $[3]$ $13.3732823976$
3.1.14819.1 x3 - x2 + 13x - 20 $-\,7\cdot 29\cdot 73$ $S_3$ (as 3T2) trivial $28.3057897999$
3.1.14892.1 x3 + 24x - 54 $-\,2^{2}\cdot 3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[3]$ $9.33635774803$
3.1.14892.2 x3 - x2 - 23x - 75 $-\,2^{2}\cdot 3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[9]$ $4.07610286751$
3.1.14892.3 x3 - x2 + 17x - 71 $-\,2^{2}\cdot 3\cdot 17\cdot 73$ $S_3$ (as 3T2) $[3]$ $9.5593752021$
3.1.15695.1 x3 - x2 + 30x + 27 $-\,5\cdot 43\cdot 73$ $S_3$ (as 3T2) trivial $31.1451705543$
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