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_j_aq | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.ac_c |
3.3.ad_d_ac | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.ab_ac |
3.3.ad_d_ab | $3$ | $\F_{3}$ | $1 - 3 x + 3 x^{2} - x^{3} + 9 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_e_ae | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.ab_ab |
3.3.ad_f_ah | $3$ | $\F_{3}$ | $1 - 3 x + 5 x^{2} - 7 x^{3} + 15 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_f_ag | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )$ | $2$ | 1.3.ad $\times$ 1.3.ac $\times$ 1.3.c |
3.3.ad_g_ak | $3$ | $\F_{3}$ | $1 - 3 x + 6 x^{2} - 10 x^{3} + 18 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ad_g_aj | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} + 9 x^{4} )$ | $0$ | 1.3.ad $\times$ 2.3.a_d |
3.3.ad_h_al | $3$ | $\F_{3}$ | $1 - 3 x + 7 x^{2} - 11 x^{3} + 21 x^{4} - 27 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_ab_i | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 4 x^{2} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.a_ae |
3.3.ac_a_d | $3$ | $\F_{3}$ | $1 - 2 x + 3 x^{3} - 18 x^{5} + 27 x^{6}$ | $1$ | simple |
3.3.ac_a_e | $3$ | $\F_{3}$ | $1 - 2 x + 4 x^{3} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_a_g | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ | $1$ | 1.3.ad $\times$ 1.3.ac $\times$ 1.3.d |
3.3.ac_b_a | $3$ | $\F_{3}$ | $1 - 2 x + x^{2} + 3 x^{4} - 18 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ac_b_c | $3$ | $\F_{3}$ | $1 - 2 x + x^{2} + 2 x^{3} + 3 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_b_e | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 2 x^{2} + 9 x^{4} )$ | $3$ | 1.3.ac $\times$ 2.3.a_ac |
3.3.ac_c_ae | $3$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ab $\times$ 2.3.ab_ac |
3.3.ac_c_ab | $3$ | $\F_{3}$ | $1 - 2 x + 2 x^{2} - x^{3} + 6 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_c_a | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + x + 2 x^{2} + 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.b_c |
3.3.ac_c_b | $3$ | $\F_{3}$ | $1 - 2 x + 2 x^{2} + x^{3} + 6 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_d_ai | $3$ | $\F_{3}$ | $( 1 + 2 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ | $3$ | 1.3.c $\times$ 2.3.ae_i |
3.3.ac_d_ag | $3$ | $\F_{3}$ | $1 - 2 x + 3 x^{2} - 6 x^{3} + 9 x^{4} - 18 x^{5} + 27 x^{6}$ | $1$ | simple |
3.3.ac_d_ae | $3$ | $\F_{3}$ | $1 - 2 x + 3 x^{2} - 4 x^{3} + 9 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_d_ac | $3$ | $\F_{3}$ | $1 - 2 x + 3 x^{2} - 2 x^{3} + 9 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_d_a | $3$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 + 9 x^{4} )$ | $1$ | 1.3.ac $\times$ 2.3.a_a |
3.3.ac_e_ak | $3$ | $\F_{3}$ | $1 - 2 x + 4 x^{2} - 10 x^{3} + 12 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_e_ai | $3$ | $\F_{3}$ | $1 - 2 x + 4 x^{2} - 8 x^{3} + 12 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_e_ag | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )$ | $2$ | 1.3.ad $\times$ 1.3.ab $\times$ 1.3.c |
3.3.ac_e_af | $3$ | $\F_{3}$ | $1 - 2 x + 4 x^{2} - 5 x^{3} + 12 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_e_ae | $3$ | $\F_{3}$ | $1 - 2 x + 4 x^{2} - 4 x^{3} + 12 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_f_am | $3$ | $\F_{3}$ | $( 1 + 3 x^{2} )( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.a $\times$ 2.3.ac_c |
3.3.ac_f_ak | $3$ | $\F_{3}$ | $1 - 2 x + 5 x^{2} - 10 x^{3} + 15 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_f_ai | $3$ | $\F_{3}$ | $1 - 2 x + 5 x^{2} - 8 x^{3} + 15 x^{4} - 18 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ac_g_ai | $3$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - x + 2 x^{2} - 3 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ab $\times$ 2.3.ab_c |
3.3.ac_h_am | $3$ | $\F_{3}$ | $( 1 + 3 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.a $\times$ 2.3.ac_e |
3.3.ab_ac_g | $3$ | $\F_{3}$ | $1 - x - 2 x^{2} + 6 x^{3} - 6 x^{4} - 9 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ab_ab_b | $3$ | $\F_{3}$ | $1 - x - x^{2} + x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_ab_c | $3$ | $\F_{3}$ | $1 - x - x^{2} + 2 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_ab_d | $3$ | $\F_{3}$ | $1 - x - x^{2} + 3 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $2$ | simple |
3.3.ab_ab_e | $3$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - 4 x^{2} + 9 x^{4} )$ | $3$ | 1.3.ab $\times$ 2.3.a_ae |
3.3.ab_ab_f | $3$ | $\F_{3}$ | $1 - x - x^{2} + 5 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_ab_g | $3$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 + 2 x + 2 x^{2} + 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad $\times$ 2.3.c_c |
3.3.ab_ab_h | $3$ | $\F_{3}$ | $1 - x - x^{2} + 7 x^{3} - 3 x^{4} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_a_ab | $3$ | $\F_{3}$ | $1 - x - x^{3} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_a_a | $3$ | $\F_{3}$ | $1 - x - 9 x^{5} + 27 x^{6}$ | $1$ | simple |
3.3.ab_a_c | $3$ | $\F_{3}$ | $1 - x + 2 x^{3} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_a_f | $3$ | $\F_{3}$ | $1 - x + 5 x^{3} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_a_g | $3$ | $\F_{3}$ | $1 - x + 6 x^{3} - 9 x^{5} + 27 x^{6}$ | $1$ | simple |
3.3.ab_a_h | $3$ | $\F_{3}$ | $1 - x + 7 x^{3} - 9 x^{5} + 27 x^{6}$ | $3$ | simple |
3.3.ab_b_ag | $3$ | $\F_{3}$ | $( 1 + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.a $\times$ 2.3.ab_ac |