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Results (1-50 of 181162 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
1.2.ac $1$ $\F_{2}$ $1 - 2 x + 2 x^{2}$ $0$ simple
1.2.ab $1$ $\F_{2}$ $1 - x + 2 x^{2}$ $1$ simple
1.2.a $1$ $\F_{2}$ $1 + 2 x^{2}$ $0$ simple
1.2.b $1$ $\F_{2}$ $1 + x + 2 x^{2}$ $1$ simple
1.2.c $1$ $\F_{2}$ $1 + 2 x + 2 x^{2}$ $0$ simple
2.2.ae_i $2$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}$ $0$ 1.2.ac 2
2.2.ad_f $2$ $\F_{2}$ $1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4}$ $2$ simple
2.2.ad_g $2$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.ab
2.2.ac_c $2$ $\F_{2}$ $1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4}$ $0$ simple
2.2.ac_d $2$ $\F_{2}$ $1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4}$ $2$ simple
2.2.ac_e $2$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )$ $0$ 1.2.ac $\times$ 1.2.a
2.2.ac_f $2$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}$ $2$ 1.2.ab 2
2.2.ab_ab $2$ $\F_{2}$ $1 - x - x^{2} - 2 x^{3} + 4 x^{4}$ $2$ simple
2.2.ab_a $2$ $\F_{2}$ $1 - x - 2 x^{3} + 4 x^{4}$ $1$ simple
2.2.ab_b $2$ $\F_{2}$ $1 - x + x^{2} - 2 x^{3} + 4 x^{4}$ $2$ simple
2.2.ab_c $2$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.b
2.2.ab_d $2$ $\F_{2}$ $1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4}$ $2$ simple
2.2.ab_e $2$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )$ $1$ 1.2.ab $\times$ 1.2.a
2.2.a_ae $2$ $\F_{2}$ $( 1 - 2 x^{2} )^{2}$ $0$ simple
2.2.a_ad $2$ $\F_{2}$ $1 - 3 x^{2} + 4 x^{4}$ $2$ simple
2.2.a_ac $2$ $\F_{2}$ $1 - 2 x^{2} + 4 x^{4}$ $0$ simple
2.2.a_ab $2$ $\F_{2}$ $1 - x^{2} + 4 x^{4}$ $2$ simple
2.2.a_a $2$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $0$ 1.2.ac $\times$ 1.2.c
2.2.a_b $2$ $\F_{2}$ $1 + x^{2} + 4 x^{4}$ $2$ simple
2.2.a_c $2$ $\F_{2}$ $1 + 2 x^{2} + 4 x^{4}$ $0$ simple
2.2.a_d $2$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )$ $2$ 1.2.ab $\times$ 1.2.b
2.2.a_e $2$ $\F_{2}$ $( 1 + 2 x^{2} )^{2}$ $0$ 1.2.a 2
2.2.b_ab $2$ $\F_{2}$ $1 + x - x^{2} + 2 x^{3} + 4 x^{4}$ $2$ simple
2.2.b_a $2$ $\F_{2}$ $1 + x + 2 x^{3} + 4 x^{4}$ $1$ simple
2.2.b_b $2$ $\F_{2}$ $1 + x + x^{2} + 2 x^{3} + 4 x^{4}$ $2$ simple
2.2.b_c $2$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$ 1.2.ab $\times$ 1.2.c
2.2.b_d $2$ $\F_{2}$ $1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4}$ $2$ simple
2.2.b_e $2$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )$ $1$ 1.2.a $\times$ 1.2.b
2.2.c_c $2$ $\F_{2}$ $1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4}$ $0$ simple
2.2.c_d $2$ $\F_{2}$ $1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4}$ $2$ simple
2.2.c_e $2$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $0$ 1.2.a $\times$ 1.2.c
2.2.c_f $2$ $\F_{2}$ $( 1 + x + 2 x^{2} )^{2}$ $2$ 1.2.b 2
2.2.d_f $2$ $\F_{2}$ $1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4}$ $2$ simple
2.2.d_g $2$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$ 1.2.b $\times$ 1.2.c
2.2.e_i $2$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )^{2}$ $0$ 1.2.c 2
3.2.ag_s_abg $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{3}$ $0$ 1.2.ac 3
3.2.af_n_aw $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $2$ 1.2.ac $\times$ 2.2.ad_f
3.2.af_o_ay $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ $1$ 1.2.ac 2 $\times$ 1.2.ab
3.2.ae_i_am $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $0$ 1.2.ac $\times$ 2.2.ac_c
3.2.ae_j_ap $3$ $\F_{2}$ $1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6}$ $3$ simple
3.2.ae_j_ao $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 1.2.ac $\times$ 2.2.ac_d
3.2.ae_k_ar $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.ad_f
3.2.ae_k_aq $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ $0$ 1.2.ac 2 $\times$ 1.2.a
3.2.ae_l_as $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}$ $2$ 1.2.ac $\times$ 1.2.ab 2
3.2.ad_c_b $3$ $\F_{2}$ $1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6}$ $3$ simple
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