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Note: Search results may be incomplete due to uncomputed quantities: jacobian_count (2316480 objects)

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Base field Base char. Dimension $p$-rank Initial coefficients
Simple Geom. simple Primitive Princ. polarizable Jacobian
Slopes Points on variety Points on curve Simple factors
Angle rank # Jacobians # Hyp. Jacobians # twists Max twist degree
End. degree $p$-rank deficit (Geom.) Sq.free
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Results (1-50 of 309 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.19.ak_cg $2$ $\F_{19}$ $1 - 10 x + 58 x^{2} - 190 x^{3} + 361 x^{4}$ $2$ simple
2.19.ai_bm $2$ $\F_{19}$ $( 1 - 8 x + 19 x^{2} )( 1 + 19 x^{2} )$ $1$ 1.19.ai $\times$ 1.19.a
2.19.ai_bp $2$ $\F_{19}$ $1 - 8 x + 41 x^{2} - 152 x^{3} + 361 x^{4}$ $2$ simple
2.19.ai_bq $2$ $\F_{19}$ $1 - 8 x + 42 x^{2} - 152 x^{3} + 361 x^{4}$ $2$ simple
2.19.ai_bt $2$ $\F_{19}$ $( 1 - 7 x + 19 x^{2} )( 1 - x + 19 x^{2} )$ $2$ 1.19.ah $\times$ 1.19.ab
2.19.ai_by $2$ $\F_{19}$ $( 1 - 6 x + 19 x^{2} )( 1 - 2 x + 19 x^{2} )$ $2$ 1.19.ag $\times$ 1.19.ac
2.19.ah_be $2$ $\F_{19}$ $( 1 - 8 x + 19 x^{2} )( 1 + x + 19 x^{2} )$ $2$ 1.19.ai $\times$ 1.19.b
2.19.ah_bf $2$ $\F_{19}$ $1 - 7 x + 31 x^{2} - 133 x^{3} + 361 x^{4}$ $2$ simple
2.19.ah_bl $2$ $\F_{19}$ $1 - 7 x + 37 x^{2} - 133 x^{3} + 361 x^{4}$ $2$ simple
2.19.ah_bq $2$ $\F_{19}$ $1 - 7 x + 42 x^{2} - 133 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_s $2$ $\F_{19}$ $1 - 6 x + 18 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_t $2$ $\F_{19}$ $1 - 6 x + 19 x^{2} - 114 x^{3} + 361 x^{4}$ $1$ simple
2.19.ag_w $2$ $\F_{19}$ $( 1 - 8 x + 19 x^{2} )( 1 + 2 x + 19 x^{2} )$ $2$ 1.19.ai $\times$ 1.19.c
2.19.ag_x $2$ $\F_{19}$ $1 - 6 x + 23 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_y $2$ $\F_{19}$ $1 - 6 x + 24 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_bb $2$ $\F_{19}$ $1 - 6 x + 27 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_bc $2$ $\F_{19}$ $1 - 6 x + 28 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_be $2$ $\F_{19}$ $1 - 6 x + 30 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_bf $2$ $\F_{19}$ $( 1 - 7 x + 19 x^{2} )( 1 + x + 19 x^{2} )$ $2$ 1.19.ah $\times$ 1.19.b
2.19.ag_bi $2$ $\F_{19}$ $1 - 6 x + 34 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_bm $2$ $\F_{19}$ $( 1 - 6 x + 19 x^{2} )( 1 + 19 x^{2} )$ $1$ 1.19.ag $\times$ 1.19.a
2.19.ag_bo $2$ $\F_{19}$ $1 - 6 x + 40 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_bq $2$ $\F_{19}$ $1 - 6 x + 42 x^{2} - 114 x^{3} + 361 x^{4}$ $2$ simple
2.19.ag_br $2$ $\F_{19}$ $( 1 - 5 x + 19 x^{2} )( 1 - x + 19 x^{2} )$ $2$ 1.19.af $\times$ 1.19.ab
2.19.af_k $2$ $\F_{19}$ $1 - 5 x + 10 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_n $2$ $\F_{19}$ $1 - 5 x + 13 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_r $2$ $\F_{19}$ $1 - 5 x + 17 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_s $2$ $\F_{19}$ $1 - 5 x + 18 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_v $2$ $\F_{19}$ $1 - 5 x + 21 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_ba $2$ $\F_{19}$ $1 - 5 x + 26 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_bb $2$ $\F_{19}$ $1 - 5 x + 27 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_bh $2$ $\F_{19}$ $1 - 5 x + 33 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.af_bi $2$ $\F_{19}$ $1 - 5 x + 34 x^{2} - 95 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_e $2$ $\F_{19}$ $1 - 4 x + 4 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_g $2$ $\F_{19}$ $( 1 - 8 x + 19 x^{2} )( 1 + 4 x + 19 x^{2} )$ $2$ 1.19.ai $\times$ 1.19.e
2.19.ae_i $2$ $\F_{19}$ $1 - 4 x + 8 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_k $2$ $\F_{19}$ $1 - 4 x + 10 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_n $2$ $\F_{19}$ $1 - 4 x + 13 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_o $2$ $\F_{19}$ $1 - 4 x + 14 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_p $2$ $\F_{19}$ $1 - 4 x + 15 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_q $2$ $\F_{19}$ $1 - 4 x + 16 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_r $2$ $\F_{19}$ $( 1 - 7 x + 19 x^{2} )( 1 + 3 x + 19 x^{2} )$ $2$ 1.19.ah $\times$ 1.19.d
2.19.ae_s $2$ $\F_{19}$ $1 - 4 x + 18 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_u $2$ $\F_{19}$ $1 - 4 x + 20 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_v $2$ $\F_{19}$ $1 - 4 x + 21 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_w $2$ $\F_{19}$ $1 - 4 x + 22 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_y $2$ $\F_{19}$ $1 - 4 x + 24 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_z $2$ $\F_{19}$ $1 - 4 x + 25 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_ba $2$ $\F_{19}$ $( 1 - 6 x + 19 x^{2} )( 1 + 2 x + 19 x^{2} )$ $2$ 1.19.ag $\times$ 1.19.c
2.19.ae_bc $2$ $\F_{19}$ $1 - 4 x + 28 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
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