Note: Search results may be incomplete due to uncomputed quantities: hyp_count (2212128 objects)
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Results (44 matches)
Download displayed columns for resultsLabel | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
3.2.ad_f_ah | $3$ | $\F_{2}$ | $1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6}$ | $3$ | simple |
3.2.ad_g_ak | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ab $\times$ 2.2.ac_c |
3.2.ad_g_ai | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ | $1$ | 1.2.ac 2 $\times$ 1.2.b |
3.2.ad_h_al | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.ac_d |
3.2.ac_c_ad | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.ab_ab |
3.2.ac_c_ac | $3$ | $\F_{2}$ | $1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$ | $0$ | simple |
3.2.ac_c_ab | $3$ | $\F_{2}$ | $1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$ | $3$ | simple |
3.2.ac_d_ag | $3$ | $\F_{2}$ | $1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6}$ | $2$ | simple |
3.2.ac_d_ae | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ab $\times$ 2.2.ab_a |
3.2.ac_e_ah | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.ad_f |
3.2.ac_e_ag | $3$ | $\F_{2}$ | $1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6}$ | $0$ | simple |
3.2.ac_e_af | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.ab_b |
3.2.ab_a_c | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.ab $\times$ 2.2.a_ac |
3.2.ab_b_ab | $3$ | $\F_{2}$ | $1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6}$ | $3$ | simple |
3.2.ab_c_a | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.c |
3.2.ab_d_af | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.ac_d |
3.2.ab_d_ab | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.a_b |
3.2.a_ab_ac | $3$ | $\F_{2}$ | $1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6}$ | $2$ | simple |
3.2.a_ab_c | $3$ | $\F_{2}$ | $1 - x^{2} + 2 x^{3} - 2 x^{4} + 8 x^{6}$ | $2$ | simple |
3.2.a_a_ac | $3$ | $\F_{2}$ | $1 - 2 x^{3} + 8 x^{6}$ | $0$ | simple |
3.2.a_a_ab | $3$ | $\F_{2}$ | $1 - x^{3} + 8 x^{6}$ | $3$ | simple |
3.2.a_a_b | $3$ | $\F_{2}$ | $1 + x^{3} + 8 x^{6}$ | $3$ | simple |
3.2.a_a_c | $3$ | $\F_{2}$ | $1 + 2 x^{3} + 8 x^{6}$ | $0$ | simple |
3.2.a_b_ac | $3$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.c $\times$ 2.2.ac_d |
3.2.a_b_c | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.c_d |
3.2.a_c_ac | $3$ | $\F_{2}$ | $1 + 2 x^{2} - 2 x^{3} + 4 x^{4} + 8 x^{6}$ | $0$ | simple |
3.2.a_c_c | $3$ | $\F_{2}$ | $1 + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{6}$ | $0$ | simple |
3.2.b_a_ac | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.b $\times$ 2.2.a_ac |
3.2.b_b_b | $3$ | $\F_{2}$ | $1 + x + x^{2} + x^{3} + 2 x^{4} + 4 x^{5} + 8 x^{6}$ | $3$ | simple |
3.2.b_c_a | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ | $1$ | 1.2.ac $\times$ 1.2.b $\times$ 1.2.c |
3.2.b_d_b | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.a_b |
3.2.b_d_f | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.c_d |
3.2.c_c_b | $3$ | $\F_{2}$ | $1 + 2 x + 2 x^{2} + x^{3} + 4 x^{4} + 8 x^{5} + 8 x^{6}$ | $3$ | simple |
3.2.c_c_c | $3$ | $\F_{2}$ | $1 + 2 x + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{5} + 8 x^{6}$ | $0$ | simple |
3.2.c_c_d | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.b_ab |
3.2.c_d_e | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.b $\times$ 2.2.b_a |
3.2.c_d_g | $3$ | $\F_{2}$ | $1 + 2 x + 3 x^{2} + 6 x^{3} + 6 x^{4} + 8 x^{5} + 8 x^{6}$ | $2$ | simple |
3.2.c_e_f | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.b_b |
3.2.c_e_g | $3$ | $\F_{2}$ | $1 + 2 x + 4 x^{2} + 6 x^{3} + 8 x^{4} + 8 x^{5} + 8 x^{6}$ | $0$ | simple |
3.2.c_e_h | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.d_f |
3.2.d_f_h | $3$ | $\F_{2}$ | $1 + 3 x + 5 x^{2} + 7 x^{3} + 10 x^{4} + 12 x^{5} + 8 x^{6}$ | $3$ | simple |
3.2.d_g_i | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )^{2}$ | $1$ | 1.2.ab $\times$ 1.2.c 2 |
3.2.d_g_k | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.b $\times$ 2.2.c_c |
3.2.d_h_l | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.c_d |