Abelian variety search results

Results (10 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
5.3.ag_o_ah_abu_fd	$5$	$\F_{3}$	$3$	$1 - 6 x + 14 x^{2} - 7 x^{3} - 46 x^{4} + 133 x^{5} - 138 x^{6} - 63 x^{7} + 378 x^{8} - 486 x^{9} + 243 x^{10}$	$5$	$0$	$-2$	$23$	simple
5.3.af_o_aba_bq_acp	$5$	$\F_{3}$	$3$	$1 - 5 x + 14 x^{2} - 26 x^{3} + 42 x^{4} - 67 x^{5} + 126 x^{6} - 234 x^{7} + 378 x^{8} - 405 x^{9} + 243 x^{10}$	$5$	$0$	$-1$	$67$	simple
5.3.ac_ad_g_f_aq	$5$	$\F_{3}$	$3$	$( 1 - x + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )( 1 - 5 x^{2} + 9 x^{4} )$	$5$	$0$	$2$	$60$	1.3.ab $\times$ 2.3.ab_ac $\times$ 2.3.a_af
5.3.ab_i_af_bf_aq	$5$	$\F_{3}$	$3$	$( 1 - x + 3 x^{2} )( 1 + 5 x^{2} + 16 x^{4} + 45 x^{6} + 81 x^{8} )$	$5$	$0$	$3$	$444$	1.3.ab $\times$ 4.3.a_f_a_q
5.3.a_af_ai_j_bo	$5$	$\F_{3}$	$3$	$( 1 + x + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )( 1 - 5 x^{2} + 9 x^{4} )$	$5$	$0$	$4$	$100$	1.3.b $\times$ 2.3.ab_ac $\times$ 2.3.a_af
5.3.a_af_i_j_abo	$5$	$\F_{3}$	$3$	$( 1 - x + 3 x^{2} )( 1 - 5 x^{2} + 9 x^{4} )( 1 + x - 2 x^{2} + 3 x^{3} + 9 x^{4} )$	$5$	$0$	$4$	$180$	1.3.ab $\times$ 2.3.a_af $\times$ 2.3.b_ac
5.3.b_i_f_bf_q	$5$	$\F_{3}$	$3$	$( 1 + x + 3 x^{2} )( 1 + 5 x^{2} + 16 x^{4} + 45 x^{6} + 81 x^{8} )$	$5$	$0$	$5$	$740$	1.3.b $\times$ 4.3.a_f_a_q
5.3.c_ad_ag_f_q	$5$	$\F_{3}$	$3$	$( 1 + x + 3 x^{2} )( 1 - 5 x^{2} + 9 x^{4} )( 1 + x - 2 x^{2} + 3 x^{3} + 9 x^{4} )$	$5$	$0$	$6$	$300$	1.3.b $\times$ 2.3.a_af $\times$ 2.3.b_ac
5.3.f_o_ba_bq_cp	$5$	$\F_{3}$	$3$	$1 + 5 x + 14 x^{2} + 26 x^{3} + 42 x^{4} + 67 x^{5} + 126 x^{6} + 234 x^{7} + 378 x^{8} + 405 x^{9} + 243 x^{10}$	$5$	$0$	$9$	$1541$	simple
5.3.g_o_h_abu_afd	$5$	$\F_{3}$	$3$	$1 + 6 x + 14 x^{2} + 7 x^{3} - 46 x^{4} - 133 x^{5} - 138 x^{6} + 63 x^{7} + 378 x^{8} + 486 x^{9} + 243 x^{10}$	$5$	$0$	$10$	$881$	simple