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Results (1-50 of 1253897 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
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
2.3.ag_p $2$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )^{2}$ $0$ 1.3.ad 2
2.3.af_m $2$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ac
2.3.ae_i $2$ $\F_{3}$ $1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4}$ $2$ simple
2.3.ae_j $2$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.ab
2.3.ae_k $2$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )^{2}$ $2$ 1.3.ac 2
2.3.ad_f $2$ $\F_{3}$ $1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4}$ $2$ simple
2.3.ad_g $2$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} )$ $0$ 1.3.ad $\times$ 1.3.a
2.3.ad_h $2$ $\F_{3}$ $1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4}$ $2$ simple
2.3.ad_i $2$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 - x + 3 x^{2} )$ $2$ 1.3.ac $\times$ 1.3.ab
2.3.ac_b $2$ $\F_{3}$ $1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4}$ $2$ simple
2.3.ac_c $2$ $\F_{3}$ $1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4}$ $2$ simple
2.3.ac_d $2$ $\F_{3}$ $( 1 - 3 x + 3 x^{2} )( 1 + x + 3 x^{2} )$ $1$ 1.3.ad $\times$ 1.3.b
2.3.ac_e $2$ $\F_{3}$ $1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4}$ $2$ simple
2.3.ac_f $2$ $\F_{3}$ $1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4}$ $2$ simple
2.3.ac_g $2$ $\F_{3}$ $( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} )$ $1$ 1.3.ac $\times$ 1.3.a
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