Note: Search results may be incomplete due to uncomputed quantities: jacobian_count (2316480 objects)
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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
3.3.ae_h_ak | $3$ | $\F_{3}$ | $1 - 4 x + 7 x^{2} - 10 x^{3} + 21 x^{4} - 36 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ae_i_am | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - x + 2 x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.ab_c |
3.3.ae_l_au | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.ac_e |
3.3.ad_a_j | $3$ | $\F_{3}$ | $( 1 + 3 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ | $0$ | 1.3.ad 2 $\times$ 1.3.d |
3.3.ad_b_f | $3$ | $\F_{3}$ | $1 - 3 x + x^{2} + 5 x^{3} + 3 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_c_c | $3$ | $\F_{3}$ | $1 - 3 x + 2 x^{2} + 2 x^{3} + 6 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_c_d | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - x^{2} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.a_ab |
3.3.ad_e_ag | $3$ | $\F_{3}$ | $1 - 3 x + 4 x^{2} - 6 x^{3} + 12 x^{4} - 27 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ad_e_af | $3$ | $\F_{3}$ | $1 - 3 x + 4 x^{2} - 5 x^{3} + 12 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_f_aj | $3$ | $\F_{3}$ | $1 - 3 x + 5 x^{2} - 9 x^{3} + 15 x^{4} - 27 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ad_f_ai | $3$ | $\F_{3}$ | $1 - 3 x + 5 x^{2} - 8 x^{3} + 15 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_g_am | $3$ | $\F_{3}$ | $1 - 3 x + 6 x^{2} - 12 x^{3} + 18 x^{4} - 27 x^{5} + 27 x^{6}$ | $0$ | simple |
3.3.ad_h_ao | $3$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ab $\times$ 2.3.ac_c |
3.3.ad_h_an | $3$ | $\F_{3}$ | $1 - 3 x + 7 x^{2} - 13 x^{3} + 21 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_i_ao | $3$ | $\F_{3}$ | $1 - 3 x + 8 x^{2} - 14 x^{3} + 24 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_k_ar | $3$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ab $\times$ 2.3.ac_f |
3.3.ac_ac_j | $3$ | $\F_{3}$ | $1 - 2 x - 2 x^{2} + 9 x^{3} - 6 x^{4} - 18 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ac_ac_m | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + x - 2 x^{2} + 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.b_ac |
3.3.ac_ab_g | $3$ | $\F_{3}$ | $1 - 2 x - x^{2} + 6 x^{3} - 3 x^{4} - 18 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ac_a_c | $3$ | $\F_{3}$ | $1 - 2 x + 2 x^{3} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_a_f | $3$ | $\F_{3}$ | $1 - 2 x + 5 x^{3} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_a_h | $3$ | $\F_{3}$ | $1 - 2 x + 7 x^{3} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_b_b | $3$ | $\F_{3}$ | $1 - 2 x + x^{2} + x^{3} + 3 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_b_d | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + x + x^{2} + 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.b_b |
3.3.ac_c_ac | $3$ | $\F_{3}$ | $1 - 2 x + 2 x^{2} - 2 x^{3} + 6 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_c_c | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - x^{2} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.a_ab |
3.3.ac_d_af | $3$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ab $\times$ 2.3.ab_ab |
3.3.ac_d_ad | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + x + 3 x^{2} + 3 x^{3} + 9 x^{4} )$ | $1$ | 1.3.ad $\times$ 2.3.b_d |
3.3.ac_e_ad | $3$ | $\F_{3}$ | $1 - 2 x + 4 x^{2} - 3 x^{3} + 12 x^{4} - 18 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ac_f_aj | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + x + 5 x^{2} + 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.b_f |
3.3.ac_f_ag | $3$ | $\F_{3}$ | $1 - 2 x + 5 x^{2} - 6 x^{3} + 15 x^{4} - 18 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ac_g_am | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} )( 1 + x + 3 x^{2} )$ | $1$ | 1.3.ad $\times$ 1.3.a $\times$ 1.3.b |
3.3.ac_h_ak | $3$ | $\F_{3}$ | $1 - 2 x + 7 x^{2} - 10 x^{3} + 21 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_ac_i | $3$ | $\F_{3}$ | $1 - x - 2 x^{2} + 8 x^{3} - 6 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_ab_i | $3$ | $\F_{3}$ | $1 - x - x^{2} + 8 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_ab_j | $3$ | $\F_{3}$ | $1 - x - x^{2} + 9 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ab_ab_k | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 + x - 2 x^{2} + 3 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.b_ac |
3.3.ab_a_ac | $3$ | $\F_{3}$ | $1 - x - 2 x^{3} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_a_b | $3$ | $\F_{3}$ | $1 - x + x^{3} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_a_e | $3$ | $\F_{3}$ | $1 - x + 4 x^{3} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_b_af | $3$ | $\F_{3}$ | $1 - x + x^{2} - 5 x^{3} + 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_b_ae | $3$ | $\F_{3}$ | $1 - x + x^{2} - 4 x^{3} + 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_b_a | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + 2 x + 4 x^{2} + 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.c_e |
3.3.ab_b_e | $3$ | $\F_{3}$ | $1 - x + x^{2} + 4 x^{3} + 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_b_g | $3$ | $\F_{3}$ | $( 1 + 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ | $2$ | 1.3.ac 2 $\times$ 1.3.d |
3.3.ab_c_ag | $3$ | $\F_{3}$ | $( 1 + 3 x^{2} )( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.a $\times$ 2.3.ab_ab |
3.3.ab_c_af | $3$ | $\F_{3}$ | $1 - x + 2 x^{2} - 5 x^{3} + 6 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_c_d | $3$ | $\F_{3}$ | $1 - x + 2 x^{2} + 3 x^{3} + 6 x^{4} - 9 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ab_e_af | $3$ | $\F_{3}$ | $1 - x + 4 x^{2} - 5 x^{3} + 12 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_e_ab | $3$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 + x^{2} + 9 x^{4} )$ | $3$ | 1.3.ab $\times$ 2.3.a_b |