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Label Dimension Base field L-polynomial pp-rank Number fields Galois groups Isogeny factors
2.49.abc_li 22 F72\F_{7^{2}} (17x)4( 1 - 7 x )^{4} 00 Q\Q Trivial
2.49.abb_ku 22 F72\F_{7^{2}} (17x)2(113x+49x2)( 1 - 7 x )^{2}( 1 - 13 x + 49 x^{2} ) 11 Q\Q, Q(3)\Q(\sqrt{-3}) Trivial, C2C_2
2.49.aba_kg 22 F72\F_{7^{2}} (17x)2(112x+49x2)( 1 - 7 x )^{2}( 1 - 12 x + 49 x^{2} ) 11 Q\Q, Q(13)\Q(\sqrt{-13}) Trivial, C2C_2
2.49.aba_kh 22 F72\F_{7^{2}} (113x+49x2)2( 1 - 13 x + 49 x^{2} )^{2} 22 Q(3)\Q(\sqrt{-3}) C2C_2
2.49.az_js 22 F72\F_{7^{2}} (17x)2(111x+49x2)( 1 - 7 x )^{2}( 1 - 11 x + 49 x^{2} ) 11 Q\Q, Q(3)\Q(\sqrt{-3}) Trivial, C2C_2
2.49.az_jt 22 F72\F_{7^{2}} 125x+253x21225x3+2401x41 - 25 x + 253 x^{2} - 1225 x^{3} + 2401 x^{4} 22 4.0.17525.1 D4D_{4}
2.49.az_ju 22 F72\F_{7^{2}} (113x+49x2)(112x+49x2)( 1 - 13 x + 49 x^{2} )( 1 - 12 x + 49 x^{2} ) 22 Q(3)\Q(\sqrt{-3}) , Q(13)\Q(\sqrt{-13}) C2C_2, C2C_2
2.49.ay_je 22 F72\F_{7^{2}} (17x)2(110x+49x2)( 1 - 7 x )^{2}( 1 - 10 x + 49 x^{2} ) 11 Q\Q, Q(6)\Q(\sqrt{-6}) Trivial, C2C_2
2.49.ay_jf 22 F72\F_{7^{2}} 124x+239x21176x3+2401x41 - 24 x + 239 x^{2} - 1176 x^{3} + 2401 x^{4} 22 4.0.96912.2 D4D_{4}
2.49.ay_jg 22 F72\F_{7^{2}} 124x+240x21176x3+2401x41 - 24 x + 240 x^{2} - 1176 x^{3} + 2401 x^{4} 22 4.0.86272.3 D4D_{4}
2.49.ay_jh 22 F72\F_{7^{2}} (113x+49x2)(111x+49x2)( 1 - 13 x + 49 x^{2} )( 1 - 11 x + 49 x^{2} ) 22 Q(3)\Q(\sqrt{-3}) , Q(3)\Q(\sqrt{-3}) C2C_2, C2C_2
2.49.ay_ji 22 F72\F_{7^{2}} (112x+49x2)2( 1 - 12 x + 49 x^{2} )^{2} 22 Q(13)\Q(\sqrt{-13}) C2C_2
2.49.ax_iq 22 F72\F_{7^{2}} (17x)2(19x+49x2)( 1 - 7 x )^{2}( 1 - 9 x + 49 x^{2} ) 11 Q\Q, Q(115)\Q(\sqrt{-115}) Trivial, C2C_2
2.49.ax_ir 22 F72\F_{7^{2}} 123x+225x21127x3+2401x41 - 23 x + 225 x^{2} - 1127 x^{3} + 2401 x^{4} 22 4.0.284445.2 D4D_{4}
2.49.ax_is 22 F72\F_{7^{2}} 123x+226x21127x3+2401x41 - 23 x + 226 x^{2} - 1127 x^{3} + 2401 x^{4} 22 4.0.373388.1 D4D_{4}
2.49.ax_it 22 F72\F_{7^{2}} 123x+227x21127x3+2401x41 - 23 x + 227 x^{2} - 1127 x^{3} + 2401 x^{4} 22 4.0.328029.1 D4D_{4}
2.49.ax_iu 22 F72\F_{7^{2}} (113x+49x2)(110x+49x2)( 1 - 13 x + 49 x^{2} )( 1 - 10 x + 49 x^{2} ) 22 Q(3)\Q(\sqrt{-3}) , Q(6)\Q(\sqrt{-6}) C2C_2, C2C_2
2.49.ax_iv 22 F72\F_{7^{2}} 123x+229x21127x3+2401x41 - 23 x + 229 x^{2} - 1127 x^{3} + 2401 x^{4} 22 4.0.81125.1 D4D_{4}
2.49.ax_iw 22 F72\F_{7^{2}} (112x+49x2)(111x+49x2)( 1 - 12 x + 49 x^{2} )( 1 - 11 x + 49 x^{2} ) 22 Q(13)\Q(\sqrt{-13}) , Q(3)\Q(\sqrt{-3}) C2C_2, C2C_2
2.49.aw_ic 22 F72\F_{7^{2}} (17x)2(18x+49x2)( 1 - 7 x )^{2}( 1 - 8 x + 49 x^{2} ) 11 Q\Q, Q(33)\Q(\sqrt{-33}) Trivial, C2C_2
2.49.aw_id 22 F72\F_{7^{2}} 122x+211x21078x3+2401x41 - 22 x + 211 x^{2} - 1078 x^{3} + 2401 x^{4} 22 4.0.39488.1 D4D_{4}
2.49.aw_ie 22 F72\F_{7^{2}} 122x+212x21078x3+2401x41 - 22 x + 212 x^{2} - 1078 x^{3} + 2401 x^{4} 22 4.0.969024.6 D4D_{4}
2.49.aw_if 22 F72\F_{7^{2}} 122x+213x21078x3+2401x41 - 22 x + 213 x^{2} - 1078 x^{3} + 2401 x^{4} 22 4.0.1069632.1 D4D_{4}
2.49.aw_ig 22 F72\F_{7^{2}} 122x+214x21078x3+2401x41 - 22 x + 214 x^{2} - 1078 x^{3} + 2401 x^{4} 22 4.0.62000.1 D4D_{4}
2.49.aw_ih 22 F72\F_{7^{2}} (113x+49x2)(19x+49x2)( 1 - 13 x + 49 x^{2} )( 1 - 9 x + 49 x^{2} ) 22 Q(3)\Q(\sqrt{-3}) , Q(115)\Q(\sqrt{-115}) C2C_2, C2C_2
2.49.aw_ii 22 F72\F_{7^{2}} 122x+216x21078x3+2401x41 - 22 x + 216 x^{2} - 1078 x^{3} + 2401 x^{4} 22 4.0.537408.1 D4D_{4}
2.49.aw_ij 22 F72\F_{7^{2}} 122x+217x21078x3+2401x41 - 22 x + 217 x^{2} - 1078 x^{3} + 2401 x^{4} 11 4.0.5696.1 D4D_{4}
2.49.aw_ik 22 F72\F_{7^{2}} (112x+49x2)(110x+49x2)( 1 - 12 x + 49 x^{2} )( 1 - 10 x + 49 x^{2} ) 22 Q(13)\Q(\sqrt{-13}) , Q(6)\Q(\sqrt{-6}) C2C_2, C2C_2
2.49.aw_il 22 F72\F_{7^{2}} (111x+49x2)2( 1 - 11 x + 49 x^{2} )^{2} 22 Q(3)\Q(\sqrt{-3}) C2C_2
2.49.av_hp 22 F72\F_{7^{2}} 121x+197x21029x3+2401x41 - 21 x + 197 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.14725.1 D4D_{4}
2.49.av_hq 22 F72\F_{7^{2}} 121x+198x21029x3+2401x41 - 21 x + 198 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.1983580.1 D4D_{4}
2.49.av_hr 22 F72\F_{7^{2}} 121x+199x21029x3+2401x41 - 21 x + 199 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.2427237.1 D4D_{4}
2.49.av_hs 22 F72\F_{7^{2}} 121x+200x21029x3+2401x41 - 21 x + 200 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.40293.1 D4D_{4}
2.49.av_ht 22 F72\F_{7^{2}} 121x+201x21029x3+2401x41 - 21 x + 201 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.2493565.2 D4D_{4}
2.49.av_hu 22 F72\F_{7^{2}} (113x+49x2)(18x+49x2)( 1 - 13 x + 49 x^{2} )( 1 - 8 x + 49 x^{2} ) 22 Q(3)\Q(\sqrt{-3}) , Q(33)\Q(\sqrt{-33}) C2C_2, C2C_2
2.49.av_hw 22 F72\F_{7^{2}} 121x+204x21029x3+2401x41 - 21 x + 204 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.344488.2 D4D_{4}
2.49.av_hx 22 F72\F_{7^{2}} 121x+205x21029x3+2401x41 - 21 x + 205 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.100893.1 D4D_{4}
2.49.av_hy 22 F72\F_{7^{2}} (112x+49x2)(19x+49x2)( 1 - 12 x + 49 x^{2} )( 1 - 9 x + 49 x^{2} ) 22 Q(13)\Q(\sqrt{-13}) , Q(115)\Q(\sqrt{-115}) C2C_2, C2C_2
2.49.av_hz 22 F72\F_{7^{2}} 121x+207x21029x3+2401x41 - 21 x + 207 x^{2} - 1029 x^{3} + 2401 x^{4} 22 4.0.164725.1 D4D_{4}
2.49.av_ia 22 F72\F_{7^{2}} (111x+49x2)(110x+49x2)( 1 - 11 x + 49 x^{2} )( 1 - 10 x + 49 x^{2} ) 22 Q(3)\Q(\sqrt{-3}) , Q(6)\Q(\sqrt{-6}) C2C_2, C2C_2
2.49.au_ha 22 F72\F_{7^{2}} (17x)2(16x+49x2)( 1 - 7 x )^{2}( 1 - 6 x + 49 x^{2} ) 11 Q\Q, Q(10)\Q(\sqrt{-10}) Trivial, C2C_2
2.49.au_hb 22 F72\F_{7^{2}} 120x+183x2980x3+2401x41 - 20 x + 183 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.2019600.2 D4D_{4}
2.49.au_hc 22 F72\F_{7^{2}} 120x+184x2980x3+2401x41 - 20 x + 184 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.3524864.2 D4D_{4}
2.49.au_hd 22 F72\F_{7^{2}} 120x+185x2980x3+2401x41 - 20 x + 185 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.285441.2 D4D_{4}
2.49.au_he 22 F72\F_{7^{2}} 120x+186x2980x3+2401x41 - 20 x + 186 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.81216.1 D4D_{4}
2.49.au_hf 22 F72\F_{7^{2}} 120x+187x2980x3+2401x41 - 20 x + 187 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.5469200.1 D4D_{4}
2.49.au_hg 22 F72\F_{7^{2}} 120x+188x2980x3+2401x41 - 20 x + 188 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.5433600.1 D4D_{4}
2.49.au_hi 22 F72\F_{7^{2}} 120x+190x2980x3+2401x41 - 20 x + 190 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.72704.1 D4D_{4}
2.49.au_hj 22 F72\F_{7^{2}} 120x+191x2980x3+2401x41 - 20 x + 191 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.446096.4 D4D_{4}
2.49.au_hk 22 F72\F_{7^{2}} 120x+192x2980x3+2401x41 - 20 x + 192 x^{2} - 980 x^{3} + 2401 x^{4} 22 4.0.3283200.1 D4D_{4}
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