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LMFDB label dimension base field Weil polynomial $p$-rank isogeny factors
2.2.ae_i 2 $\F_{2}$ $(1-2x+2x^{2})^{2}$ $ 0$ 1.2.ac 2
2.2.ad_f 2 $\F_{2}$ $1-3x+5x^{2}-6x^{3}+4x^{4}$ $ 2$ simple
2.2.ad_g 2 $\F_{2}$ $(1-2x+2x^{2})(1-x+2x^{2})$ $ 1$ 1.2.ac $\times$ 1.2.ab
2.2.ac_c 2 $\F_{2}$ $1-2x+2x^{2}-4x^{3}+4x^{4}$ $ 0$ simple
2.2.ac_d 2 $\F_{2}$ $1-2x+3x^{2}-4x^{3}+4x^{4}$ $ 2$ simple
2.2.ac_e 2 $\F_{2}$ $(1-2x+2x^{2})(1+2x^{2})$ $ 0$ 1.2.ac $\times$ 1.2.a
2.2.ac_f 2 $\F_{2}$ $(1-x+2x^{2})^{2}$ $ 2$ 1.2.ab 2
2.2.ab_ab 2 $\F_{2}$ $1-x-x^{2}-2x^{3}+4x^{4}$ $ 2$ simple
2.2.ab_a 2 $\F_{2}$ $1-x-2x^{3}+4x^{4}$ $ 1$ simple
2.2.ab_b 2 $\F_{2}$ $1-x+x^{2}-2x^{3}+4x^{4}$ $ 2$ simple
2.2.ab_c 2 $\F_{2}$ $(1-2x+2x^{2})(1+x+2x^{2})$ $ 1$ 1.2.ac $\times$ 1.2.b
2.2.ab_d 2 $\F_{2}$ $1-x+3x^{2}-2x^{3}+4x^{4}$ $ 2$ simple
2.2.ab_e 2 $\F_{2}$ $(1-x+2x^{2})(1+2x^{2})$ $ 1$ 1.2.ab $\times$ 1.2.a
2.2.a_ad 2 $\F_{2}$ $1-3x^{2}+4x^{4}$ $ 2$ simple
2.2.a_ac 2 $\F_{2}$ $1-2x^{2}+4x^{4}$ $ 0$ simple
2.2.a_ab 2 $\F_{2}$ $1-x^{2}+4x^{4}$ $ 2$ simple
2.2.a_a 2 $\F_{2}$ $(1-2x+2x^{2})(1+2x+2x^{2})$ $ 0$ 1.2.ac $\times$ 1.2.c
2.2.a_b 2 $\F_{2}$ $1+x^{2}+4x^{4}$ $ 2$ simple
2.2.a_c 2 $\F_{2}$ $1+2x^{2}+4x^{4}$ $ 0$ simple
2.2.a_d 2 $\F_{2}$ $(1-x+2x^{2})(1+x+2x^{2})$ $ 2$ 1.2.ab $\times$ 1.2.b
2.2.a_e 2 $\F_{2}$ $(1+2x^{2})^{2}$ $ 0$ 1.2.a 2
2.2.b_ab 2 $\F_{2}$ $1+x-x^{2}+2x^{3}+4x^{4}$ $ 2$ simple
2.2.b_a 2 $\F_{2}$ $1+x+2x^{3}+4x^{4}$ $ 1$ simple
2.2.b_b 2 $\F_{2}$ $1+x+x^{2}+2x^{3}+4x^{4}$ $ 2$ simple
2.2.b_c 2 $\F_{2}$ $(1-x+2x^{2})(1+2x+2x^{2})$ $ 1$ 1.2.ab $\times$ 1.2.c
2.2.b_d 2 $\F_{2}$ $1+x+3x^{2}+2x^{3}+4x^{4}$ $ 2$ simple
2.2.b_e 2 $\F_{2}$ $(1+2x^{2})(1+x+2x^{2})$ $ 1$ 1.2.a $\times$ 1.2.b
2.2.c_c 2 $\F_{2}$ $1+2x+2x^{2}+4x^{3}+4x^{4}$ $ 0$ simple
2.2.c_d 2 $\F_{2}$ $1+2x+3x^{2}+4x^{3}+4x^{4}$ $ 2$ simple
2.2.c_e 2 $\F_{2}$ $(1+2x^{2})(1+2x+2x^{2})$ $ 0$ 1.2.a $\times$ 1.2.c
2.2.c_f 2 $\F_{2}$ $(1+x+2x^{2})^{2}$ $ 2$ 1.2.b 2
2.2.d_f 2 $\F_{2}$ $1+3x+5x^{2}+6x^{3}+4x^{4}$ $ 2$ simple
2.2.d_g 2 $\F_{2}$ $(1+x+2x^{2})(1+2x+2x^{2})$ $ 1$ 1.2.b $\times$ 1.2.c
2.2.e_i 2 $\F_{2}$ $(1+2x+2x^{2})^{2}$ $ 0$ 1.2.c 2



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