# Stored data for abelian variety isogeny class 2.113.ax_kz, downloaded from the LMFDB on 11 October 2025.
{"abvar_count": 10433, "abvar_counts": [10433, 163558141, 2081521977209, 26579997215609141, 339454130356384853248, 4334529789094991520615517, 55347536572622023193580148049, 706732556674873312328903838583973, 9024267965649009393947791141198145753, 115230877661667966584206032299374544982016], "abvar_counts_str": "10433 163558141 2081521977209 26579997215609141 339454130356384853248 4334529789094991520615517 55347536572622023193580148049 706732556674873312328903838583973 9024267965649009393947791141198145753 115230877661667966584206032299374544982016 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.107532636921407, 0.455819855075615], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 91, "curve_counts": [91, 12811, 1442599, 163020099, 18424210206, 2081954965411, 235260595253215, 26584442079343203, 3004041938144296363, 339456739034743847646], "curve_counts_str": "91 12811 1442599 163020099 18424210206 2081954965411 235260595253215 26584442079343203 3004041938144296363 339456739034743847646 ", "curves": ["y^2=78*x^6+67*x^5+60*x^4+83*x^3+x^2+87*x+31", "y^2=61*x^6+99*x^5+84*x^4+104*x^3+98*x^2+15*x+106", "y^2=80*x^6+105*x^5+62*x^4+50*x^3+100*x^2+90*x+97", "y^2=61*x^6+100*x^5+82*x^4+81*x^3+82*x^2+42*x+94", "y^2=90*x^6+60*x^5+52*x^4+46*x^3+95*x^2+27*x+36", "y^2=31*x^6+45*x^5+6*x^4+103*x^3+95*x^2+69*x+68", "y^2=5*x^6+82*x^5+37*x^4+60*x^3+82*x^2+97*x+56", "y^2=96*x^6+58*x^5+22*x^4+42*x^3+104*x^2+84*x+33", "y^2=61*x^6+81*x^5+19*x^4+60*x^3+26*x^2+x+85", "y^2=40*x^6+75*x^5+33*x^4+98*x^3+101*x^2+79*x+56", "y^2=71*x^6+22*x^5+85*x^4+51*x^3+96*x^2+42*x+58", "y^2=54*x^6+103*x^5+7*x^4+72*x^3+5*x^2+40*x+10", "y^2=34*x^6+22*x^5+79*x^4+111*x^3+51*x^2+26*x+95", "y^2=74*x^6+109*x^5+11*x^4+75*x^3+50*x^2+90*x+73", "y^2=x^6+23*x^5+69*x^4+30*x^3+11*x^2+27*x+38", "y^2=42*x^6+76*x^5+86*x^4+27*x^3+21*x^2+10*x+92", "y^2=24*x^6+6*x^5+63*x^4+79*x^3+78*x^2+18*x+71", "y^2=105*x^6+92*x^5+105*x^4+100*x^3+109*x^2+10*x+76", "y^2=66*x^6+70*x^5+32*x^4+41*x^3+26*x^2+75*x+72", "y^2=32*x^6+82*x^5+52*x^4+44*x^3+28*x^2+94*x+107", "y^2=11*x^6+11*x^5+71*x^4+15*x^3+21*x^2+52*x+16", "y^2=76*x^6+57*x^5+109*x^4+64*x^3+26*x^2+x+73", "y^2=102*x^6+108*x^5+38*x^4+101*x^3+92*x^2+79*x+64", "y^2=101*x^6+43*x^4+47*x^3+73*x^2+16*x+80", "y^2=73*x^6+71*x^5+90*x^4+111*x^3+87*x^2+66*x+59", "y^2=38*x^6+106*x^5+45*x^4+40*x^3+41*x^2+62*x+6", "y^2=87*x^6+7*x^5+98*x^4+48*x^3+37*x^2+67*x+18", "y^2=100*x^6+50*x^5+80*x^4+91*x^3+80*x^2+49*x+68", "y^2=23*x^6+84*x^5+58*x^4+104*x^3+2*x^2+100*x+29", "y^2=29*x^6+56*x^4+57*x^3+104*x^2+76*x+61", "y^2=108*x^6+91*x^5+24*x^4+20*x^3+112*x^2+55*x+65", "y^2=102*x^6+84*x^5+42*x^4+43*x^3+4*x^2+53*x+20", "y^2=86*x^6+109*x^5+66*x^4+35*x^3+82*x^2+5*x+18", "y^2=109*x^6+104*x^5+94*x^4+75*x^3+15*x^2+100*x+56", "y^2=65*x^5+19*x^4+102*x^3+68*x^2+59*x+104", "y^2=17*x^6+44*x^5+88*x^4+4*x^3+28*x^2+24*x+89", "y^2=16*x^6+32*x^5+50*x^4+51*x^3+96*x^2+87*x+103", "y^2=33*x^6+11*x^5+111*x^4+105*x^3+63*x^2+48*x+24", "y^2=86*x^6+10*x^5+47*x^4+19*x^2+74*x+58", "y^2=98*x^6+45*x^5+77*x^4+85*x^3+90*x^2+9*x+52", "y^2=69*x^6+90*x^5+23*x^4+88*x^3+89*x^2+18*x+86", "y^2=97*x^6+78*x^5+12*x^4+112*x^3+69*x^2+47*x+20", "y^2=74*x^6+77*x^5+6*x^4+85*x^3+86*x^2+35*x+10", "y^2=59*x^6+13*x^5+89*x^4+100*x^3+73*x^2+26*x+10", "y^2=67*x^6+20*x^5+90*x^4+49*x^3+108*x^2+104*x+107", "y^2=39*x^6+60*x^5+15*x^4+71*x^3+81*x^2+104*x+76", "y^2=107*x^6+66*x^5+23*x^4+34*x^3+35*x^2+62*x+86", "y^2=40*x^6+83*x^5+73*x^4+x^3+17*x^2+48*x+35", "y^2=68*x^6+96*x^5+77*x^4+3*x^3+27*x^2+81*x+79", "y^2=41*x^6+13*x^5+26*x^4+26*x^3+3*x^2+67*x+85", "y^2=58*x^6+56*x^5+81*x^4+58*x^3+41*x^2+92*x", "y^2=101*x^6+54*x^5+5*x^4+58*x^3+105*x^2+84*x+108", "y^2=69*x^6+83*x^5+39*x^4+11*x^3+38*x^2+50*x+81", "y^2=64*x^6+108*x^5+30*x^4+40*x^3+105*x^2+76*x+8", "y^2=6*x^6+94*x^5+91*x^4+64*x^3+3*x^2+109*x+88", "y^2=84*x^6+80*x^5+66*x^4+61*x^3+46*x^2+6*x+65", "y^2=38*x^6+106*x^5+51*x^4+82*x^3+25*x^2+64*x+110", "y^2=111*x^6+50*x^5+79*x^4+86*x^3+89*x^2+89*x+15", "y^2=27*x^6+102*x^5+57*x^4+86*x^3+49*x^2+33*x+22", "y^2=5*x^6+42*x^5+111*x^4+35*x^3+29*x^2+42", "y^2=41*x^6+53*x^5+28*x^4+39*x^3+112*x^2+84*x+36", "y^2=59*x^6+42*x^5+100*x^4+83*x^3+97*x^2+4*x+19", "y^2=16*x^6+109*x^5+83*x^4+82*x^3+93*x^2+69*x+6", "y^2=9*x^6+75*x^5+34*x^4+95*x^3+73*x^2+32*x+31", "y^2=97*x^6+34*x^5+97*x^4+9*x^3+36*x^2+21*x+77", "y^2=59*x^6+36*x^5+101*x^4+40*x^3+7*x^2+4*x+73", "y^2=111*x^6+16*x^5+92*x^4+37*x^3+24*x^2+36*x+15", "y^2=9*x^6+28*x^5+8*x^4+35*x^3+6*x^2+59*x+104", "y^2=23*x^6+35*x^5+53*x^4+32*x^3+80*x^2+53*x+43", "y^2=14*x^6+112*x^5+77*x^4+40*x^3+83*x^2+62*x+110", "y^2=54*x^6+24*x^5+53*x^4+103*x^3+9*x^2+40*x+93", "y^2=30*x^6+26*x^5+42*x^4+58*x^3+40*x^2+11*x+36", "y^2=36*x^6+8*x^5+82*x^4+9*x^3+11*x^2+81*x+65", "y^2=37*x^6+105*x^5+52*x^4+110*x^3+101*x^2+9*x+48", "y^2=65*x^6+6*x^5+34*x^4+23*x^3+73*x^2+56*x+47", "y^2=x^6+28*x^5+104*x^4+3*x^3+106*x^2+36*x+62", "y^2=47*x^6+92*x^5+39*x^4+64*x^3+103*x^2+44*x+71", "y^2=84*x^6+101*x^5+90*x^4+42*x^3+26*x^2+87*x+7", "y^2=26*x^6+3*x^5+21*x^4+58*x^3+90*x^2+85*x+111", "y^2=45*x^6+70*x^5+58*x^4+35*x^3+87*x^2+96*x+35", "y^2=24*x^6+62*x^5+8*x^4+22*x^3+27*x^2+97*x+22"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.1889794037.1"], "geometric_splitting_field": "4.0.1889794037.1", "geometric_splitting_polynomials": [[3763, 799, 87, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 81, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 81, "label": "2.113.ax_kz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.1889794037.1"], "p": 113, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -23, 285, -2599, 12769], "poly_str": "1 -23 285 -2599 12769 ", "primitive_models": [], "q": 113, "real_poly": [1, -23, 59], "simple_distinct": ["2.113.ax_kz"], "simple_factors": ["2.113.ax_kzA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1889794037.1", "splitting_polynomials": [[3763, 799, 87, -1, 1]], "twist_count": 2, "twists": [["2.113.x_kz", "2.12769.bp_asxz", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 22013, "zfv_singular_count": 0, "zfv_singular_primes": []}