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Results (1-50 of 5109 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
2.61.abe_nj $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-19}) \) $C_2$ 1.61.ap 2
2.61.abd_mt $2$ $\F_{61}$ $1 - 29 x + 331 x^{2} - 1769 x^{3} + 3721 x^{4}$ $2$ \(\Q(\zeta_{5})\) $C_4$ simple
2.61.abd_mu $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )( 1 - 14 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.61.ap $\times$ 1.61.ao
2.61.abc_me $2$ $\F_{61}$ $1 - 28 x + 316 x^{2} - 1708 x^{3} + 3721 x^{4}$ $2$ 4.0.35072.1 $D_{4}$ simple
2.61.abc_mf $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )( 1 - 13 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.61.ap $\times$ 1.61.an
2.61.abc_mg $2$ $\F_{61}$ $( 1 - 14 x + 61 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$ 1.61.ao 2
2.61.abb_lo $2$ $\F_{61}$ $1 - 27 x + 300 x^{2} - 1647 x^{3} + 3721 x^{4}$ $2$ 4.0.3757.1 $D_{4}$ simple
2.61.abb_lp $2$ $\F_{61}$ $1 - 27 x + 301 x^{2} - 1647 x^{3} + 3721 x^{4}$ $2$ 4.0.2197.1 $C_4$ simple
2.61.abb_lq $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )( 1 - 12 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.61.ap $\times$ 1.61.am
2.61.abb_lr $2$ $\F_{61}$ $1 - 27 x + 303 x^{2} - 1647 x^{3} + 3721 x^{4}$ $2$ 4.0.68725.1 $D_{4}$ simple
2.61.abb_ls $2$ $\F_{61}$ $( 1 - 14 x + 61 x^{2} )( 1 - 13 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.61.ao $\times$ 1.61.an
2.61.aba_kz $2$ $\F_{61}$ $1 - 26 x + 285 x^{2} - 1586 x^{3} + 3721 x^{4}$ $2$ 4.0.406080.2 $D_{4}$ simple
2.61.aba_la $2$ $\F_{61}$ $1 - 26 x + 286 x^{2} - 1586 x^{3} + 3721 x^{4}$ $2$ 4.0.38000.1 $D_{4}$ simple
2.61.aba_lb $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )( 1 - 11 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-123}) \) $C_2$, $C_2$ 1.61.ap $\times$ 1.61.al
2.61.aba_lc $2$ $\F_{61}$ $1 - 26 x + 288 x^{2} - 1586 x^{3} + 3721 x^{4}$ $2$ 4.0.454464.1 $D_{4}$ simple
2.61.aba_ld $2$ $\F_{61}$ $1 - 26 x + 289 x^{2} - 1586 x^{3} + 3721 x^{4}$ $2$ 4.0.254528.3 $D_{4}$ simple
2.61.aba_le $2$ $\F_{61}$ $( 1 - 14 x + 61 x^{2} )( 1 - 12 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.61.ao $\times$ 1.61.am
2.61.aba_lf $2$ $\F_{61}$ $( 1 - 13 x + 61 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$ 1.61.an 2
2.61.az_kj $2$ $\F_{61}$ $1 - 25 x + 269 x^{2} - 1525 x^{3} + 3721 x^{4}$ $2$ 4.0.521589.1 $D_{4}$ simple
2.61.az_kk $2$ $\F_{61}$ $1 - 25 x + 270 x^{2} - 1525 x^{3} + 3721 x^{4}$ $2$ 4.0.1267596.1 $D_{4}$ simple
2.61.az_kl $2$ $\F_{61}$ $1 - 25 x + 271 x^{2} - 1525 x^{3} + 3721 x^{4}$ $2$ 4.0.1639109.1 $D_{4}$ simple
2.61.az_km $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )( 1 - 10 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.61.ap $\times$ 1.61.ak
2.61.az_kn $2$ $\F_{61}$ $1 - 25 x + 273 x^{2} - 1525 x^{3} + 3721 x^{4}$ $2$ 4.0.1554525.1 $D_{4}$ simple
2.61.az_ko $2$ $\F_{61}$ $1 - 25 x + 274 x^{2} - 1525 x^{3} + 3721 x^{4}$ $2$ 4.0.1247324.2 $D_{4}$ simple
2.61.az_kp $2$ $\F_{61}$ $1 - 25 x + 275 x^{2} - 1525 x^{3} + 3721 x^{4}$ $2$ 4.0.863421.1 $D_{4}$ simple
2.61.az_kq $2$ $\F_{61}$ $( 1 - 14 x + 61 x^{2} )( 1 - 11 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-123}) \) $C_2$, $C_2$ 1.61.ao $\times$ 1.61.al
2.61.az_kr $2$ $\F_{61}$ $1 - 25 x + 277 x^{2} - 1525 x^{3} + 3721 x^{4}$ $2$ 4.0.167525.1 $D_{4}$ simple
2.61.az_ks $2$ $\F_{61}$ $( 1 - 13 x + 61 x^{2} )( 1 - 12 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.61.an $\times$ 1.61.am
2.61.ay_jt $2$ $\F_{61}$ $1 - 24 x + 253 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{13})\) $C_2^2$ simple
2.61.ay_ju $2$ $\F_{61}$ $1 - 24 x + 254 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.29952.1 $D_{4}$ simple
2.61.ay_jv $2$ $\F_{61}$ $1 - 24 x + 255 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.3068560.1 $D_{4}$ simple
2.61.ay_jw $2$ $\F_{61}$ $1 - 24 x + 256 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.3744000.2 $D_{4}$ simple
2.61.ay_jx $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )( 1 - 9 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-163}) \) $C_2$, $C_2$ 1.61.ap $\times$ 1.61.aj
2.61.ay_jy $2$ $\F_{61}$ $1 - 24 x + 258 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.15424.2 $D_{4}$ simple
2.61.ay_jz $2$ $\F_{61}$ $1 - 24 x + 259 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.44688.2 $D_{4}$ simple
2.61.ay_ka $2$ $\F_{61}$ $1 - 24 x + 260 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.3098880.4 $D_{4}$ simple
2.61.ay_kb $2$ $\F_{61}$ $1 - 24 x + 261 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.153625.1 $D_{4}$ simple
2.61.ay_kc $2$ $\F_{61}$ $( 1 - 14 x + 61 x^{2} )( 1 - 10 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.61.ao $\times$ 1.61.ak
2.61.ay_kd $2$ $\F_{61}$ $1 - 24 x + 263 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.1106064.1 $D_{4}$ simple
2.61.ay_ke $2$ $\F_{61}$ $1 - 24 x + 264 x^{2} - 1464 x^{3} + 3721 x^{4}$ $2$ 4.0.540928.1 $D_{4}$ simple
2.61.ay_kf $2$ $\F_{61}$ $( 1 - 13 x + 61 x^{2} )( 1 - 11 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-123}) \) $C_2$, $C_2$ 1.61.an $\times$ 1.61.al
2.61.ay_kg $2$ $\F_{61}$ $( 1 - 12 x + 61 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-1}) \) $C_2$ 1.61.am 2
2.61.ax_je $2$ $\F_{61}$ $1 - 23 x + 238 x^{2} - 1403 x^{3} + 3721 x^{4}$ $2$ 4.0.2213900.2 $D_{4}$ simple
2.61.ax_jf $2$ $\F_{61}$ $1 - 23 x + 239 x^{2} - 1403 x^{3} + 3721 x^{4}$ $2$ 4.0.4632645.1 $D_{4}$ simple
2.61.ax_jg $2$ $\F_{61}$ $1 - 23 x + 240 x^{2} - 1403 x^{3} + 3721 x^{4}$ $2$ 4.0.1598508.2 $D_{4}$ simple
2.61.ax_jh $2$ $\F_{61}$ $1 - 23 x + 241 x^{2} - 1403 x^{3} + 3721 x^{4}$ $2$ 4.0.7564637.1 $D_{4}$ simple
2.61.ax_ji $2$ $\F_{61}$ $( 1 - 15 x + 61 x^{2} )( 1 - 8 x + 61 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-5}) \) $C_2$, $C_2$ 1.61.ap $\times$ 1.61.ai
2.61.ax_jj $2$ $\F_{61}$ $1 - 23 x + 243 x^{2} - 1403 x^{3} + 3721 x^{4}$ $2$ 4.0.103725.1 $D_{4}$ simple
2.61.ax_jk $2$ $\F_{61}$ $1 - 23 x + 244 x^{2} - 1403 x^{3} + 3721 x^{4}$ $1$ 4.0.512705.1 $D_{4}$ simple
2.61.ax_jl $2$ $\F_{61}$ $1 - 23 x + 245 x^{2} - 1403 x^{3} + 3721 x^{4}$ $2$ 4.0.7684197.1 $D_{4}$ simple
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