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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
2.113.abi_th $2$ $\F_{113}$ $1 - 34 x + 501 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.18869312.2 $D_{4}$
2.113.abi_ti $2$ $\F_{113}$ $1 - 34 x + 502 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.1262768.1 $D_{4}$
2.113.abi_tj $2$ $\F_{113}$ $1 - 34 x + 503 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.1285776.1 $D_{4}$
2.113.abi_tk $2$ $\F_{113}$ $1 - 34 x + 504 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.410432.1 $D_{4}$
2.113.abi_tl $2$ $\F_{113}$ $1 - 34 x + 505 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.18958400.2 $D_{4}$
2.113.abi_tm $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 14 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$
2.113.abi_tn $2$ $\F_{113}$ $1 - 34 x + 507 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.945728.1 $D_{4}$
2.113.abi_to $2$ $\F_{113}$ $1 - 34 x + 508 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.12735296.1 $D_{4}$
2.113.abi_tp $2$ $\F_{113}$ $1 - 34 x + 509 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.10202688.2 $D_{4}$
2.113.abi_tq $2$ $\F_{113}$ $1 - 34 x + 510 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.479600.2 $D_{4}$
2.113.abi_tr $2$ $\F_{113}$ $( 1 - 19 x + 113 x^{2} )( 1 - 15 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-227}) \) $C_2$, $C_2$
2.113.abi_ts $2$ $\F_{113}$ $1 - 34 x + 512 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.3187008.1 $D_{4}$
2.113.abi_tt $2$ $\F_{113}$ $1 - 34 x + 513 x^{2} - 3842 x^{3} + 12769 x^{4}$ $2$ 4.0.1510976.2 $D_{4}$
2.113.abi_tu $2$ $\F_{113}$ $( 1 - 18 x + 113 x^{2} )( 1 - 16 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$
2.113.abi_tv $2$ $\F_{113}$ $( 1 - 17 x + 113 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-163}) \) $C_2$
2.113.abh_si $2$ $\F_{113}$ $1 - 33 x + 476 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{89})\) $C_2^2$
2.113.abh_sj $2$ $\F_{113}$ $1 - 33 x + 477 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.14312725.1 $D_{4}$
2.113.abh_sk $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 12 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-77}) \) $C_2$, $C_2$
2.113.abh_sl $2$ $\F_{113}$ $1 - 33 x + 479 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.28441413.2 $D_{4}$
2.113.abh_sm $2$ $\F_{113}$ $1 - 33 x + 480 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.516913.1 $D_{4}$
2.113.abh_sn $2$ $\F_{113}$ $1 - 33 x + 481 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.36283581.1 $D_{4}$
2.113.abh_so $2$ $\F_{113}$ $1 - 33 x + 482 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.38177100.1 $D_{4}$
2.113.abh_sp $2$ $\F_{113}$ $1 - 33 x + 483 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.38895613.1 $D_{4}$
2.113.abh_sq $2$ $\F_{113}$ $1 - 33 x + 484 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.9643032.3 $D_{4}$
2.113.abh_sr $2$ $\F_{113}$ $1 - 33 x + 485 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.37340037.1 $D_{4}$
2.113.abh_ss $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 13 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-283}) \) $C_2$, $C_2$
2.113.abh_st $2$ $\F_{113}$ $1 - 33 x + 487 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.403525.1 $D_{4}$
2.113.abh_su $2$ $\F_{113}$ $1 - 33 x + 488 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.7382952.2 $D_{4}$
2.113.abh_sv $2$ $\F_{113}$ $1 - 33 x + 489 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.26006893.1 $D_{4}$
2.113.abh_sw $2$ $\F_{113}$ $1 - 33 x + 490 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.22246092.1 $D_{4}$
2.113.abh_sx $2$ $\F_{113}$ $1 - 33 x + 491 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.18385101.1 $D_{4}$
2.113.abh_sy $2$ $\F_{113}$ $( 1 - 19 x + 113 x^{2} )( 1 - 14 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$
2.113.abh_sz $2$ $\F_{113}$ $1 - 33 x + 493 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.10907253.1 $D_{4}$
2.113.abh_ta $2$ $\F_{113}$ $1 - 33 x + 494 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.7563708.1 $D_{4}$
2.113.abh_tb $2$ $\F_{113}$ $1 - 33 x + 495 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.4666597.2 $D_{4}$
2.113.abh_tc $2$ $\F_{113}$ $( 1 - 18 x + 113 x^{2} )( 1 - 15 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-227}) \) $C_2$, $C_2$
2.113.abh_td $2$ $\F_{113}$ $1 - 33 x + 497 x^{2} - 3729 x^{3} + 12769 x^{4}$ $2$ 4.0.762525.1 $D_{4}$
2.113.abh_te $2$ $\F_{113}$ $( 1 - 17 x + 113 x^{2} )( 1 - 16 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-163}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$
2.113.abg_rn $2$ $\F_{113}$ $1 - 32 x + 455 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.131472.1 $D_{4}$
2.113.abg_ro $2$ $\F_{113}$ $1 - 32 x + 456 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.24617216.1 $D_{4}$
2.113.abg_rp $2$ $\F_{113}$ $( 1 - 21 x + 113 x^{2} )( 1 - 11 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-331}) \) $C_2$, $C_2$
2.113.abg_rq $2$ $\F_{113}$ $1 - 32 x + 458 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.180288.2 $D_{4}$
2.113.abg_rr $2$ $\F_{113}$ $1 - 32 x + 459 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.53974928.1 $D_{4}$
2.113.abg_rs $2$ $\F_{113}$ $1 - 32 x + 460 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.60000512.2 $D_{4}$
2.113.abg_rt $2$ $\F_{113}$ $1 - 32 x + 461 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.4022361.1 $D_{4}$
2.113.abg_ru $2$ $\F_{113}$ $1 - 32 x + 462 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.1025.1 $D_{4}$
2.113.abg_rv $2$ $\F_{113}$ $1 - 32 x + 463 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.68578448.1 $D_{4}$
2.113.abg_rw $2$ $\F_{113}$ $1 - 32 x + 464 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.848128.2 $D_{4}$
2.113.abg_rx $2$ $\F_{113}$ $1 - 32 x + 465 x^{2} - 3616 x^{3} + 12769 x^{4}$ $2$ 4.0.4228937.1 $D_{4}$
2.113.abg_ry $2$ $\F_{113}$ $( 1 - 20 x + 113 x^{2} )( 1 - 12 x + 113 x^{2} )$ $2$ \(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-77}) \) $C_2$, $C_2$
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