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Results (1-50 of 5877 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
2.67.abg_pa $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$ 1.67.aq 2
2.67.abf_ok $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )( 1 - 15 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.67.aq $\times$ 1.67.ap
2.67.abe_nu $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )( 1 - 14 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.67.aq $\times$ 1.67.ao
2.67.abe_nv $2$ $\F_{67}$ $( 1 - 15 x + 67 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-43}) \) $C_2$ 1.67.ap 2
2.67.abd_nd $2$ $\F_{67}$ $1 - 29 x + 341 x^{2} - 1943 x^{3} + 4489 x^{4}$ $2$ 4.0.40053.1 $D_{4}$ simple
2.67.abd_ne $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )( 1 - 13 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-11}) \) $C_2$, $C_2$ 1.67.aq $\times$ 1.67.an
2.67.abd_nf $2$ $\F_{67}$ $1 - 29 x + 343 x^{2} - 1943 x^{3} + 4489 x^{4}$ $2$ 4.0.53525.1 $D_{4}$ simple
2.67.abd_ng $2$ $\F_{67}$ $( 1 - 15 x + 67 x^{2} )( 1 - 14 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.67.ap $\times$ 1.67.ao
2.67.abc_mn $2$ $\F_{67}$ $1 - 28 x + 325 x^{2} - 1876 x^{3} + 4489 x^{4}$ $2$ 4.0.14225.1 $D_{4}$ simple
2.67.abc_mo $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )( 1 - 12 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-31}) \) $C_2$, $C_2$ 1.67.aq $\times$ 1.67.am
2.67.abc_mp $2$ $\F_{67}$ $1 - 28 x + 327 x^{2} - 1876 x^{3} + 4489 x^{4}$ $2$ 4.0.346896.2 $D_{4}$ simple
2.67.abc_mq $2$ $\F_{67}$ $1 - 28 x + 328 x^{2} - 1876 x^{3} + 4489 x^{4}$ $2$ 4.0.213248.3 $D_{4}$ simple
2.67.abc_mr $2$ $\F_{67}$ $( 1 - 15 x + 67 x^{2} )( 1 - 13 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-11}) \) $C_2$, $C_2$ 1.67.ap $\times$ 1.67.an
2.67.abc_ms $2$ $\F_{67}$ $( 1 - 14 x + 67 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-2}) \) $C_2$ 1.67.ao 2
2.67.abb_lx $2$ $\F_{67}$ $1 - 27 x + 309 x^{2} - 1809 x^{3} + 4489 x^{4}$ $2$ 4.0.737557.1 $D_{4}$ simple
2.67.abb_ly $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )( 1 - 11 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.67.aq $\times$ 1.67.al
2.67.abb_lz $2$ $\F_{67}$ $1 - 27 x + 311 x^{2} - 1809 x^{3} + 4489 x^{4}$ $2$ 4.0.1169973.1 $D_{4}$ simple
2.67.abb_ma $2$ $\F_{67}$ $1 - 27 x + 312 x^{2} - 1809 x^{3} + 4489 x^{4}$ $2$ 4.0.1024216.1 $D_{4}$ simple
2.67.abb_mb $2$ $\F_{67}$ $1 - 27 x + 313 x^{2} - 1809 x^{3} + 4489 x^{4}$ $2$ 4.0.749853.1 $D_{4}$ simple
2.67.abb_mc $2$ $\F_{67}$ $( 1 - 15 x + 67 x^{2} )( 1 - 12 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-31}) \) $C_2$, $C_2$ 1.67.ap $\times$ 1.67.am
2.67.abb_md $2$ $\F_{67}$ $1 - 27 x + 315 x^{2} - 1809 x^{3} + 4489 x^{4}$ $2$ 4.0.155725.1 $D_{4}$ simple
2.67.abb_me $2$ $\F_{67}$ $( 1 - 14 x + 67 x^{2} )( 1 - 13 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-11}) \) $C_2$, $C_2$ 1.67.ao $\times$ 1.67.an
2.67.aba_lg $2$ $\F_{67}$ $1 - 26 x + 292 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.596288.1 $D_{4}$ simple
2.67.aba_lh $2$ $\F_{67}$ $1 - 26 x + 293 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.206400.3 $D_{4}$ simple
2.67.aba_li $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )( 1 - 10 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-42}) \) $C_2$, $C_2$ 1.67.aq $\times$ 1.67.ak
2.67.aba_lj $2$ $\F_{67}$ $1 - 26 x + 295 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.183872.5 $D_{4}$ simple
2.67.aba_lk $2$ $\F_{67}$ $1 - 26 x + 296 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.2925888.1 $D_{4}$ simple
2.67.aba_ll $2$ $\F_{67}$ $1 - 26 x + 297 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.2645568.1 $D_{4}$ simple
2.67.aba_lm $2$ $\F_{67}$ $1 - 26 x + 298 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.136400.1 $D_{4}$ simple
2.67.aba_ln $2$ $\F_{67}$ $( 1 - 15 x + 67 x^{2} )( 1 - 11 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.67.ap $\times$ 1.67.al
2.67.aba_lo $2$ $\F_{67}$ $1 - 26 x + 300 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.1035072.1 $D_{4}$ simple
2.67.aba_lp $2$ $\F_{67}$ $1 - 26 x + 301 x^{2} - 1742 x^{3} + 4489 x^{4}$ $2$ 4.0.515648.2 $D_{4}$ simple
2.67.aba_lq $2$ $\F_{67}$ $( 1 - 14 x + 67 x^{2} )( 1 - 12 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-31}) \) $C_2$, $C_2$ 1.67.ao $\times$ 1.67.am
2.67.aba_lr $2$ $\F_{67}$ $( 1 - 13 x + 67 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-11}) \) $C_2$ 1.67.an 2
2.67.az_kq $2$ $\F_{67}$ $1 - 25 x + 276 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.1949400.1 $D_{4}$ simple
2.67.az_kr $2$ $\F_{67}$ $1 - 25 x + 277 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.81461.1 $D_{4}$ simple
2.67.az_ks $2$ $\F_{67}$ $( 1 - 16 x + 67 x^{2} )( 1 - 9 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-187}) \) $C_2$, $C_2$ 1.67.aq $\times$ 1.67.aj
2.67.az_kt $2$ $\F_{67}$ $1 - 25 x + 279 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.76725.1 $D_{4}$ simple
2.67.az_ku $2$ $\F_{67}$ $1 - 25 x + 280 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.6549176.1 $D_{4}$ simple
2.67.az_kv $2$ $\F_{67}$ $1 - 25 x + 281 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.718725.1 $D_{4}$ simple
2.67.az_kw $2$ $\F_{67}$ $1 - 25 x + 282 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.1512621.1 $D_{4}$ simple
2.67.az_kx $2$ $\F_{67}$ $1 - 25 x + 283 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.5373149.1 $D_{4}$ simple
2.67.az_ky $2$ $\F_{67}$ $( 1 - 15 x + 67 x^{2} )( 1 - 10 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-42}) \) $C_2$, $C_2$ 1.67.ap $\times$ 1.67.ak
2.67.az_kz $2$ $\F_{67}$ $1 - 25 x + 285 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.3554901.1 $D_{4}$ simple
2.67.az_la $2$ $\F_{67}$ $1 - 25 x + 286 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.643025.3 $D_{4}$ simple
2.67.az_lb $2$ $\F_{67}$ $1 - 25 x + 287 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.1646229.2 $D_{4}$ simple
2.67.az_lc $2$ $\F_{67}$ $( 1 - 14 x + 67 x^{2} )( 1 - 11 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.67.ao $\times$ 1.67.al
2.67.az_ld $2$ $\F_{67}$ $1 - 25 x + 289 x^{2} - 1675 x^{3} + 4489 x^{4}$ $2$ 4.0.285725.1 $D_{4}$ simple
2.67.az_le $2$ $\F_{67}$ $( 1 - 13 x + 67 x^{2} )( 1 - 12 x + 67 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-31}) \) $C_2$, $C_2$ 1.67.an $\times$ 1.67.am
2.67.ay_jz $2$ $\F_{67}$ $1 - 24 x + 259 x^{2} - 1608 x^{3} + 4489 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{19})\) $C_2^2$ simple
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