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Results (1-50 of 8099 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
2.83.abk_sw $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-2}) \) $C_2$ 1.83.as 2
2.83.abj_se $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 17 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.ar
2.83.abi_rm $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 16 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-19}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.aq
2.83.abi_rn $2$ $\F_{83}$ $( 1 - 17 x + 83 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-43}) \) $C_2$ 1.83.ar 2
2.83.abh_qu $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 15 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-107}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.ap
2.83.abh_qv $2$ $\F_{83}$ $1 - 33 x + 437 x^{2} - 2739 x^{3} + 6889 x^{4}$ $2$ 4.0.51525.2 $D_{4}$ simple
2.83.abh_qw $2$ $\F_{83}$ $( 1 - 17 x + 83 x^{2} )( 1 - 16 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-19}) \) $C_2$, $C_2$ 1.83.ar $\times$ 1.83.aq
2.83.abg_qc $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 14 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-34}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.ao
2.83.abg_qd $2$ $\F_{83}$ $1 - 32 x + 419 x^{2} - 2656 x^{3} + 6889 x^{4}$ $2$ 4.0.325008.5 $D_{4}$ simple
2.83.abg_qe $2$ $\F_{83}$ $1 - 32 x + 420 x^{2} - 2656 x^{3} + 6889 x^{4}$ $2$ 4.0.219392.2 $D_{4}$ simple
2.83.abg_qf $2$ $\F_{83}$ $( 1 - 17 x + 83 x^{2} )( 1 - 15 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-107}) \) $C_2$, $C_2$ 1.83.ar $\times$ 1.83.ap
2.83.abg_qg $2$ $\F_{83}$ $( 1 - 16 x + 83 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-19}) \) $C_2$ 1.83.aq 2
2.83.abf_pj $2$ $\F_{83}$ $1 - 31 x + 399 x^{2} - 2573 x^{3} + 6889 x^{4}$ $2$ 4.0.145493.1 $D_{4}$ simple
2.83.abf_pk $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 13 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.an
2.83.abf_pl $2$ $\F_{83}$ $1 - 31 x + 401 x^{2} - 2573 x^{3} + 6889 x^{4}$ $2$ 4.0.1074717.1 $D_{4}$ simple
2.83.abf_pm $2$ $\F_{83}$ $1 - 31 x + 402 x^{2} - 2573 x^{3} + 6889 x^{4}$ $2$ 4.0.258077.1 $D_{4}$ simple
2.83.abf_pn $2$ $\F_{83}$ $1 - 31 x + 403 x^{2} - 2573 x^{3} + 6889 x^{4}$ $2$ 4.0.795821.3 $D_{4}$ simple
2.83.abf_po $2$ $\F_{83}$ $( 1 - 17 x + 83 x^{2} )( 1 - 14 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-34}) \) $C_2$, $C_2$ 1.83.ar $\times$ 1.83.ao
2.83.abf_pp $2$ $\F_{83}$ $1 - 31 x + 405 x^{2} - 2573 x^{3} + 6889 x^{4}$ $2$ 4.0.174725.2 $D_{4}$ simple
2.83.abf_pq $2$ $\F_{83}$ $( 1 - 16 x + 83 x^{2} )( 1 - 15 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-107}) \) $C_2$, $C_2$ 1.83.aq $\times$ 1.83.ap
2.83.abe_or $2$ $\F_{83}$ $1 - 30 x + 381 x^{2} - 2490 x^{3} + 6889 x^{4}$ $2$ 4.0.654400.2 $D_{4}$ simple
2.83.abe_os $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 12 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-47}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.am
2.83.abe_ot $2$ $\F_{83}$ $1 - 30 x + 383 x^{2} - 2490 x^{3} + 6889 x^{4}$ $2$ \(\Q(\sqrt{2}, \sqrt{-3})\) $C_2^2$ simple
2.83.abe_ou $2$ $\F_{83}$ $1 - 30 x + 384 x^{2} - 2490 x^{3} + 6889 x^{4}$ $2$ 4.0.2900800.5 $D_{4}$ simple
2.83.abe_ov $2$ $\F_{83}$ $1 - 30 x + 385 x^{2} - 2490 x^{3} + 6889 x^{4}$ $2$ 4.0.2765376.2 $D_{4}$ simple
2.83.abe_ow $2$ $\F_{83}$ $1 - 30 x + 386 x^{2} - 2490 x^{3} + 6889 x^{4}$ $2$ 4.0.147600.1 $D_{4}$ simple
2.83.abe_ox $2$ $\F_{83}$ $( 1 - 17 x + 83 x^{2} )( 1 - 13 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.83.ar $\times$ 1.83.an
2.83.abe_oy $2$ $\F_{83}$ $1 - 30 x + 388 x^{2} - 2490 x^{3} + 6889 x^{4}$ $2$ 4.0.1168704.1 $D_{4}$ simple
2.83.abe_oz $2$ $\F_{83}$ $1 - 30 x + 389 x^{2} - 2490 x^{3} + 6889 x^{4}$ $2$ 4.0.590400.4 $D_{4}$ simple
2.83.abe_pa $2$ $\F_{83}$ $( 1 - 16 x + 83 x^{2} )( 1 - 14 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-34}) \) $C_2$, $C_2$ 1.83.aq $\times$ 1.83.ao
2.83.abe_pb $2$ $\F_{83}$ $( 1 - 15 x + 83 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-107}) \) $C_2$ 1.83.ap 2
2.83.abd_nz $2$ $\F_{83}$ $1 - 29 x + 363 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.1766861.2 $D_{4}$ simple
2.83.abd_oa $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 11 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-211}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.al
2.83.abd_ob $2$ $\F_{83}$ $1 - 29 x + 365 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.68725.1 $D_{4}$ simple
2.83.abd_oc $2$ $\F_{83}$ $1 - 29 x + 366 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.1601993.1 $D_{4}$ simple
2.83.abd_od $2$ $\F_{83}$ $1 - 29 x + 367 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.6676613.1 $D_{4}$ simple
2.83.abd_oe $2$ $\F_{83}$ $1 - 29 x + 368 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.6473016.1 $D_{4}$ simple
2.83.abd_of $2$ $\F_{83}$ $1 - 29 x + 369 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.5897933.1 $D_{4}$ simple
2.83.abd_og $2$ $\F_{83}$ $( 1 - 17 x + 83 x^{2} )( 1 - 12 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-47}) \) $C_2$, $C_2$ 1.83.ar $\times$ 1.83.am
2.83.abd_oh $2$ $\F_{83}$ $1 - 29 x + 371 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.4038237.1 $D_{4}$ simple
2.83.abd_oi $2$ $\F_{83}$ $1 - 29 x + 372 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.2957048.1 $D_{4}$ simple
2.83.abd_oj $2$ $\F_{83}$ $1 - 29 x + 373 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.1911221.1 $D_{4}$ simple
2.83.abd_ok $2$ $\F_{83}$ $( 1 - 16 x + 83 x^{2} )( 1 - 13 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.83.aq $\times$ 1.83.an
2.83.abd_ol $2$ $\F_{83}$ $1 - 29 x + 375 x^{2} - 2407 x^{3} + 6889 x^{4}$ $2$ 4.0.336725.1 $D_{4}$ simple
2.83.abd_om $2$ $\F_{83}$ $( 1 - 15 x + 83 x^{2} )( 1 - 14 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-107}) \), \(\Q(\sqrt{-34}) \) $C_2$, $C_2$ 1.83.ap $\times$ 1.83.ao
2.83.abc_nh $2$ $\F_{83}$ $1 - 28 x + 345 x^{2} - 2324 x^{3} + 6889 x^{4}$ $2$ 4.0.240737.1 $C_4$ simple
2.83.abc_ni $2$ $\F_{83}$ $( 1 - 18 x + 83 x^{2} )( 1 - 10 x + 83 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-58}) \) $C_2$, $C_2$ 1.83.as $\times$ 1.83.ak
2.83.abc_nj $2$ $\F_{83}$ $1 - 28 x + 347 x^{2} - 2324 x^{3} + 6889 x^{4}$ $2$ 4.0.10371600.2 $D_{4}$ simple
2.83.abc_nk $2$ $\F_{83}$ $1 - 28 x + 348 x^{2} - 2324 x^{3} + 6889 x^{4}$ $2$ 4.0.12255488.1 $D_{4}$ simple
2.83.abc_nl $2$ $\F_{83}$ $1 - 28 x + 349 x^{2} - 2324 x^{3} + 6889 x^{4}$ $2$ 4.0.834353.1 $D_{4}$ simple
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