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 |
---|---|---|---|---|---|
2.19.ao_di | $2$ | $\F_{19}$ | $( 1 - 8 x + 19 x^{2} )( 1 - 6 x + 19 x^{2} )$ | $2$ | 1.19.ai $\times$ 1.19.ag |
2.19.an_da | $2$ | $\F_{19}$ | $( 1 - 8 x + 19 x^{2} )( 1 - 5 x + 19 x^{2} )$ | $2$ | 1.19.ai $\times$ 1.19.af |
2.19.am_cp | $2$ | $\F_{19}$ | $1 - 12 x + 67 x^{2} - 228 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.am_cq | $2$ | $\F_{19}$ | $1 - 12 x + 68 x^{2} - 228 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.am_cr | $2$ | $\F_{19}$ | $1 - 12 x + 69 x^{2} - 228 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.am_cu | $2$ | $\F_{19}$ | $1 - 12 x + 72 x^{2} - 228 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.am_cv | $2$ | $\F_{19}$ | $( 1 - 7 x + 19 x^{2} )( 1 - 5 x + 19 x^{2} )$ | $2$ | 1.19.ah $\times$ 1.19.af |
2.19.am_cw | $2$ | $\F_{19}$ | $( 1 - 6 x + 19 x^{2} )^{2}$ | $2$ | 1.19.ag 2 |
2.19.al_ci | $2$ | $\F_{19}$ | $1 - 11 x + 60 x^{2} - 209 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.al_cj | $2$ | $\F_{19}$ | $1 - 11 x + 61 x^{2} - 209 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.al_ck | $2$ | $\F_{19}$ | $( 1 - 8 x + 19 x^{2} )( 1 - 3 x + 19 x^{2} )$ | $2$ | 1.19.ai $\times$ 1.19.ad |
2.19.al_cl | $2$ | $\F_{19}$ | $1 - 11 x + 63 x^{2} - 209 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.al_cm | $2$ | $\F_{19}$ | $1 - 11 x + 64 x^{2} - 209 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.al_cn | $2$ | $\F_{19}$ | $1 - 11 x + 65 x^{2} - 209 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.al_co | $2$ | $\F_{19}$ | $( 1 - 7 x + 19 x^{2} )( 1 - 4 x + 19 x^{2} )$ | $2$ | 1.19.ah $\times$ 1.19.ae |
2.19.al_cp | $2$ | $\F_{19}$ | $1 - 11 x + 67 x^{2} - 209 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ak_by | $2$ | $\F_{19}$ | $1 - 10 x + 50 x^{2} - 190 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ak_bz | $2$ | $\F_{19}$ | $1 - 10 x + 51 x^{2} - 190 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ak_cb | $2$ | $\F_{19}$ | $1 - 10 x + 53 x^{2} - 190 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ak_ce | $2$ | $\F_{19}$ | $1 - 10 x + 56 x^{2} - 190 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ak_cf | $2$ | $\F_{19}$ | $1 - 10 x + 57 x^{2} - 190 x^{3} + 361 x^{4}$ | $1$ | simple |
2.19.ak_ch | $2$ | $\F_{19}$ | $( 1 - 7 x + 19 x^{2} )( 1 - 3 x + 19 x^{2} )$ | $2$ | 1.19.ah $\times$ 1.19.ad |
2.19.ak_ci | $2$ | $\F_{19}$ | $1 - 10 x + 60 x^{2} - 190 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ak_cj | $2$ | $\F_{19}$ | $1 - 10 x + 61 x^{2} - 190 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ak_ck | $2$ | $\F_{19}$ | $( 1 - 6 x + 19 x^{2} )( 1 - 4 x + 19 x^{2} )$ | $2$ | 1.19.ag $\times$ 1.19.ae |
2.19.ak_cl | $2$ | $\F_{19}$ | $( 1 - 5 x + 19 x^{2} )^{2}$ | $2$ | 1.19.af 2 |
2.19.aj_bq | $2$ | $\F_{19}$ | $1 - 9 x + 42 x^{2} - 171 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.aj_bs | $2$ | $\F_{19}$ | $1 - 9 x + 44 x^{2} - 171 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.aj_bt | $2$ | $\F_{19}$ | $1 - 9 x + 45 x^{2} - 171 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.aj_bz | $2$ | $\F_{19}$ | $1 - 9 x + 51 x^{2} - 171 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.aj_cd | $2$ | $\F_{19}$ | $1 - 9 x + 55 x^{2} - 171 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.aj_ce | $2$ | $\F_{19}$ | $( 1 - 6 x + 19 x^{2} )( 1 - 3 x + 19 x^{2} )$ | $2$ | 1.19.ag $\times$ 1.19.ad |
2.19.aj_cf | $2$ | $\F_{19}$ | $1 - 9 x + 57 x^{2} - 171 x^{3} + 361 x^{4}$ | $1$ | simple |
2.19.ai_bg | $2$ | $\F_{19}$ | $1 - 8 x + 32 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_bh | $2$ | $\F_{19}$ | $1 - 8 x + 33 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_bj | $2$ | $\F_{19}$ | $1 - 8 x + 35 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_bn | $2$ | $\F_{19}$ | $1 - 8 x + 39 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_bo | $2$ | $\F_{19}$ | $1 - 8 x + 40 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_bs | $2$ | $\F_{19}$ | $1 - 8 x + 44 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_bv | $2$ | $\F_{19}$ | $1 - 8 x + 47 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_bz | $2$ | $\F_{19}$ | $1 - 8 x + 51 x^{2} - 152 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ai_cb | $2$ | $\F_{19}$ | $( 1 - 5 x + 19 x^{2} )( 1 - 3 x + 19 x^{2} )$ | $2$ | 1.19.af $\times$ 1.19.ad |
2.19.ah_y | $2$ | $\F_{19}$ | $1 - 7 x + 24 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ah_z | $2$ | $\F_{19}$ | $1 - 7 x + 25 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ah_bb | $2$ | $\F_{19}$ | $1 - 7 x + 27 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ah_bc | $2$ | $\F_{19}$ | $1 - 7 x + 28 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ah_bg | $2$ | $\F_{19}$ | $1 - 7 x + 32 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ah_bj | $2$ | $\F_{19}$ | $1 - 7 x + 35 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ah_bk | $2$ | $\F_{19}$ | $1 - 7 x + 36 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |
2.19.ah_bo | $2$ | $\F_{19}$ | $1 - 7 x + 40 x^{2} - 133 x^{3} + 361 x^{4}$ | $2$ | simple |