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Results (1-50 of 7521 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
2.79.abi_rf $2$ $\F_{79}$ $( 1 - 17 x + 79 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$ 1.79.ar 2
2.79.abh_qn $2$ $\F_{79}$ $1 - 33 x + 429 x^{2} - 2607 x^{3} + 6241 x^{4}$ $2$ 4.0.11125.1 $D_{4}$ simple
2.79.abh_qo $2$ $\F_{79}$ $( 1 - 17 x + 79 x^{2} )( 1 - 16 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-15}) \) $C_2$, $C_2$ 1.79.ar $\times$ 1.79.aq
2.79.abg_pv $2$ $\F_{79}$ $1 - 32 x + 411 x^{2} - 2528 x^{3} + 6241 x^{4}$ $2$ 4.0.25488.1 $D_{4}$ simple
2.79.abg_pw $2$ $\F_{79}$ $1 - 32 x + 412 x^{2} - 2528 x^{3} + 6241 x^{4}$ $2$ 4.0.84224.1 $D_{4}$ simple
2.79.abg_px $2$ $\F_{79}$ $( 1 - 17 x + 79 x^{2} )( 1 - 15 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-91}) \) $C_2$, $C_2$ 1.79.ar $\times$ 1.79.ap
2.79.abg_py $2$ $\F_{79}$ $( 1 - 16 x + 79 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-15}) \) $C_2$ 1.79.aq 2
2.79.abf_pe $2$ $\F_{79}$ $1 - 31 x + 394 x^{2} - 2449 x^{3} + 6241 x^{4}$ $2$ 4.0.74273.1 $D_{4}$ simple
2.79.abf_pf $2$ $\F_{79}$ $1 - 31 x + 395 x^{2} - 2449 x^{3} + 6241 x^{4}$ $1$ 4.0.40053.1 $D_{4}$ simple
2.79.abf_pg $2$ $\F_{79}$ $( 1 - 17 x + 79 x^{2} )( 1 - 14 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-30}) \) $C_2$, $C_2$ 1.79.ar $\times$ 1.79.ao
2.79.abf_ph $2$ $\F_{79}$ $1 - 31 x + 397 x^{2} - 2449 x^{3} + 6241 x^{4}$ $2$ 4.0.108725.1 $D_{4}$ simple
2.79.abf_pi $2$ $\F_{79}$ $( 1 - 16 x + 79 x^{2} )( 1 - 15 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-91}) \) $C_2$, $C_2$ 1.79.aq $\times$ 1.79.ap
2.79.abe_om $2$ $\F_{79}$ $1 - 30 x + 376 x^{2} - 2370 x^{3} + 6241 x^{4}$ $2$ 4.0.65856.1 $D_{4}$ simple
2.79.abe_on $2$ $\F_{79}$ $1 - 30 x + 377 x^{2} - 2370 x^{3} + 6241 x^{4}$ $2$ 4.0.1051200.1 $D_{4}$ simple
2.79.abe_oo $2$ $\F_{79}$ $1 - 30 x + 378 x^{2} - 2370 x^{3} + 6241 x^{4}$ $2$ 4.0.72400.1 $D_{4}$ simple
2.79.abe_op $2$ $\F_{79}$ $( 1 - 17 x + 79 x^{2} )( 1 - 13 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.79.ar $\times$ 1.79.an
2.79.abe_oq $2$ $\F_{79}$ $1 - 30 x + 380 x^{2} - 2370 x^{3} + 6241 x^{4}$ $2$ 4.0.726336.3 $D_{4}$ simple
2.79.abe_or $2$ $\F_{79}$ $1 - 30 x + 381 x^{2} - 2370 x^{3} + 6241 x^{4}$ $2$ 4.0.391744.1 $D_{4}$ simple
2.79.abe_os $2$ $\F_{79}$ $( 1 - 16 x + 79 x^{2} )( 1 - 14 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-30}) \) $C_2$, $C_2$ 1.79.aq $\times$ 1.79.ao
2.79.abe_ot $2$ $\F_{79}$ $( 1 - 15 x + 79 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-91}) \) $C_2$ 1.79.ap 2
2.79.abd_nu $2$ $\F_{79}$ $1 - 29 x + 358 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.8405.1 $D_{4}$ simple
2.79.abd_nv $2$ $\F_{79}$ $1 - 29 x + 359 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.2098677.2 $D_{4}$ simple
2.79.abd_nw $2$ $\F_{79}$ $1 - 29 x + 360 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.2796552.2 $D_{4}$ simple
2.79.abd_nx $2$ $\F_{79}$ $1 - 29 x + 361 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.3031805.2 $D_{4}$ simple
2.79.abd_ny $2$ $\F_{79}$ $( 1 - 17 x + 79 x^{2} )( 1 - 12 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.79.ar $\times$ 1.79.am
2.79.abd_nz $2$ $\F_{79}$ $1 - 29 x + 363 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.2507085.2 $D_{4}$ simple
2.79.abd_oa $2$ $\F_{79}$ $1 - 29 x + 364 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.1944392.1 $D_{4}$ simple
2.79.abd_ob $2$ $\F_{79}$ $1 - 29 x + 365 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.1313637.1 $D_{4}$ simple
2.79.abd_oc $2$ $\F_{79}$ $( 1 - 16 x + 79 x^{2} )( 1 - 13 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.79.aq $\times$ 1.79.an
2.79.abd_od $2$ $\F_{79}$ $1 - 29 x + 367 x^{2} - 2291 x^{3} + 6241 x^{4}$ $2$ 4.0.246725.1 $D_{4}$ simple
2.79.abd_oe $2$ $\F_{79}$ $( 1 - 15 x + 79 x^{2} )( 1 - 14 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-30}) \) $C_2$, $C_2$ 1.79.ap $\times$ 1.79.ao
2.79.abc_nc $2$ $\F_{79}$ $1 - 28 x + 340 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.815360.4 $D_{4}$ simple
2.79.abc_nd $2$ $\F_{79}$ $1 - 28 x + 341 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.212433.3 $D_{4}$ simple
2.79.abc_ne $2$ $\F_{79}$ $1 - 28 x + 342 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.81216.1 $D_{4}$ simple
2.79.abc_nf $2$ $\F_{79}$ $1 - 28 x + 343 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.6305552.1 $D_{4}$ simple
2.79.abc_ng $2$ $\F_{79}$ $1 - 28 x + 344 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.6816000.1 $D_{4}$ simple
2.79.abc_nh $2$ $\F_{79}$ $( 1 - 17 x + 79 x^{2} )( 1 - 11 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-195}) \) $C_2$, $C_2$ 1.79.ar $\times$ 1.79.al
2.79.abc_ni $2$ $\F_{79}$ $1 - 28 x + 346 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.100352.5 $C_4$ simple
2.79.abc_nj $2$ $\F_{79}$ $1 - 28 x + 347 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.634256.1 $D_{4}$ simple
2.79.abc_nk $2$ $\F_{79}$ $1 - 28 x + 348 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.4776192.1 $D_{4}$ simple
2.79.abc_nl $2$ $\F_{79}$ $1 - 28 x + 349 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.232625.1 $D_{4}$ simple
2.79.abc_nm $2$ $\F_{79}$ $( 1 - 16 x + 79 x^{2} )( 1 - 12 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.79.aq $\times$ 1.79.am
2.79.abc_nn $2$ $\F_{79}$ $1 - 28 x + 351 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.1632528.1 $D_{4}$ simple
2.79.abc_no $2$ $\F_{79}$ $1 - 28 x + 352 x^{2} - 2212 x^{3} + 6241 x^{4}$ $2$ 4.0.790784.1 $D_{4}$ simple
2.79.abc_np $2$ $\F_{79}$ $( 1 - 15 x + 79 x^{2} )( 1 - 13 x + 79 x^{2} )$ $2$ \(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.79.ap $\times$ 1.79.an
2.79.abc_nq $2$ $\F_{79}$ $( 1 - 14 x + 79 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-30}) \) $C_2$ 1.79.ao 2
2.79.abb_mk $2$ $\F_{79}$ $1 - 27 x + 322 x^{2} - 2133 x^{3} + 6241 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{73})\) $C_2^2$ simple
2.79.abb_ml $2$ $\F_{79}$ $1 - 27 x + 323 x^{2} - 2133 x^{3} + 6241 x^{4}$ $2$ 4.0.4746717.1 $D_{4}$ simple
2.79.abb_mm $2$ $\F_{79}$ $1 - 27 x + 324 x^{2} - 2133 x^{3} + 6241 x^{4}$ $2$ 4.0.169000.2 $D_{4}$ simple
2.79.abb_mn $2$ $\F_{79}$ $1 - 27 x + 325 x^{2} - 2133 x^{3} + 6241 x^{4}$ $2$ 4.0.435357.3 $D_{4}$ simple
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