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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
Use Geometric decomposition in the following inputs
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Results (28 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
2.19.ao_dj $2$ $\F_{19}$ $( 1 - 7 x + 19 x^{2} )^{2}$ $2$ 1.19.ah 2
2.19.an_cy $2$ $\F_{19}$ $1 - 13 x + 76 x^{2} - 247 x^{3} + 361 x^{4}$ $1$ simple
2.19.an_cz $2$ $\F_{19}$ $1 - 13 x + 77 x^{2} - 247 x^{3} + 361 x^{4}$ $2$ simple
2.19.an_db $2$ $\F_{19}$ $1 - 13 x + 79 x^{2} - 247 x^{3} + 361 x^{4}$ $2$ simple
2.19.am_ct $2$ $\F_{19}$ $1 - 12 x + 71 x^{2} - 228 x^{3} + 361 x^{4}$ $2$ simple
2.19.al_cg $2$ $\F_{19}$ $1 - 11 x + 58 x^{2} - 209 x^{3} + 361 x^{4}$ $2$ simple
2.19.al_ch $2$ $\F_{19}$ $1 - 11 x + 59 x^{2} - 209 x^{3} + 361 x^{4}$ $2$ simple
2.19.aj_bp $2$ $\F_{19}$ $1 - 9 x + 41 x^{2} - 171 x^{3} + 361 x^{4}$ $2$ simple
2.19.ae_ad $2$ $\F_{19}$ $1 - 4 x - 3 x^{2} - 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.ac_au $2$ $\F_{19}$ $1 - 2 x - 20 x^{2} - 38 x^{3} + 361 x^{4}$ $2$ simple
2.19.ac_at $2$ $\F_{19}$ $1 - 2 x - 19 x^{2} - 38 x^{3} + 361 x^{4}$ $1$ simple
2.19.ab_abc $2$ $\F_{19}$ $1 - x - 28 x^{2} - 19 x^{3} + 361 x^{4}$ $2$ simple
2.19.a_abm $2$ $\F_{19}$ $( 1 - 19 x^{2} )^{2}$ $0$ simple
2.19.a_abj $2$ $\F_{19}$ $1 - 35 x^{2} + 361 x^{4}$ $2$ simple
2.19.a_abh $2$ $\F_{19}$ $1 - 33 x^{2} + 361 x^{4}$ $2$ simple
2.19.a_abf $2$ $\F_{19}$ $1 - 31 x^{2} + 361 x^{4}$ $2$ simple
2.19.b_abc $2$ $\F_{19}$ $1 + x - 28 x^{2} + 19 x^{3} + 361 x^{4}$ $2$ simple
2.19.c_au $2$ $\F_{19}$ $1 + 2 x - 20 x^{2} + 38 x^{3} + 361 x^{4}$ $2$ simple
2.19.c_at $2$ $\F_{19}$ $1 + 2 x - 19 x^{2} + 38 x^{3} + 361 x^{4}$ $1$ simple
2.19.e_ad $2$ $\F_{19}$ $1 + 4 x - 3 x^{2} + 76 x^{3} + 361 x^{4}$ $2$ simple
2.19.j_bp $2$ $\F_{19}$ $1 + 9 x + 41 x^{2} + 171 x^{3} + 361 x^{4}$ $2$ simple
2.19.l_cg $2$ $\F_{19}$ $1 + 11 x + 58 x^{2} + 209 x^{3} + 361 x^{4}$ $2$ simple
2.19.l_ch $2$ $\F_{19}$ $1 + 11 x + 59 x^{2} + 209 x^{3} + 361 x^{4}$ $2$ simple
2.19.m_ct $2$ $\F_{19}$ $1 + 12 x + 71 x^{2} + 228 x^{3} + 361 x^{4}$ $2$ simple
2.19.n_cy $2$ $\F_{19}$ $1 + 13 x + 76 x^{2} + 247 x^{3} + 361 x^{4}$ $1$ simple
2.19.n_cz $2$ $\F_{19}$ $1 + 13 x + 77 x^{2} + 247 x^{3} + 361 x^{4}$ $2$ simple
2.19.n_db $2$ $\F_{19}$ $1 + 13 x + 79 x^{2} + 247 x^{3} + 361 x^{4}$ $2$ simple
2.19.o_dj $2$ $\F_{19}$ $( 1 + 7 x + 19 x^{2} )^{2}$ $2$ 1.19.h 2
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