# Stored data for abelian variety isogeny class 2.113.ax_nq, downloaded from the LMFDB on 21 October 2025. {"abvar_count": 10502, "abvar_counts": [10502, 165364492, 2088397810304, 26589424980921344, 339454568936505850822, 4334514323091114373239808, 55347517744899621134055780998, 706732553774828783221999442604032, 9024267974520018946898194705590996608, 115230877655906506347903085602713299317772], "abvar_counts_str": "10502 165364492 2088397810304 26589424980921344 339454568936505850822 4334514323091114373239808 55347517744899621134055780998 706732553774828783221999442604032 9024267974520018946898194705590996608 115230877655906506347903085602713299317772 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.279810831013931, 0.353577770383442], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 91, "curve_counts": [91, 12949, 1447360, 163077921, 18424234011, 2081947536802, 235260515223979, 26584441970255169, 3004041941097320896, 339456739017771257109], "curve_counts_str": "91 12949 1447360 163077921 18424234011 2081947536802 235260515223979 26584441970255169 3004041941097320896 339456739017771257109 ", "curves": ["y^2=79*x^6+57*x^5+28*x^4+59*x^3+51*x^2+109*x+98", "y^2=3*x^6+51*x^5+72*x^4+61*x^3+81*x^2+78*x+94", "y^2=96*x^6+97*x^5+69*x^4+106*x^3+80*x^2+104*x+92", "y^2=5*x^6+6*x^5+93*x^4+36*x^3+97*x^2+86*x+62", "y^2=68*x^6+33*x^5+59*x^4+79*x^3+72*x^2+54*x+103", "y^2=3*x^6+96*x^5+56*x^4+93*x^3+63*x^2+70*x+34", "y^2=17*x^6+21*x^5+75*x^4+11*x^3+17*x^2+66*x+85", "y^2=103*x^6+83*x^5+24*x^4+105*x^3+49*x^2+5*x+94", "y^2=90*x^6+49*x^5+20*x^4+49*x^3+55*x^2+73*x+45", "y^2=5*x^6+98*x^5+95*x^4+59*x^3+92*x^2+65*x+53", "y^2=49*x^6+69*x^5+10*x^4+x^3+44*x^2+30*x+93", "y^2=68*x^6+71*x^5+70*x^4+7*x^3+27*x^2+24*x+92", "y^2=80*x^6+51*x^5+69*x^4+39*x^3+92*x^2+33*x+69", "y^2=19*x^6+34*x^5+13*x^4+49*x^3+50*x^2+27*x+82", "y^2=94*x^6+45*x^5+58*x^4+111*x^3+61*x^2+59*x+9", "y^2=110*x^6+28*x^5+80*x^4+110*x^3+102*x^2+7*x+11", "y^2=13*x^6+13*x^5+111*x^4+5*x^3+56*x^2+64*x+38", "y^2=101*x^6+58*x^5+34*x^4+60*x^3+46*x^2+5*x+111", "y^2=60*x^6+10*x^5+37*x^4+26*x^3+3*x^2+5*x+38", "y^2=61*x^6+42*x^5+28*x^4+7*x^3+41*x^2+26*x+11", "y^2=20*x^6+17*x^5+4*x^4+43*x^3+53*x^2+53*x+81", "y^2=63*x^6+96*x^5+42*x^4+24*x^3+109*x^2+97*x+20", "y^2=31*x^6+51*x^5+63*x^4+26*x^3+21*x^2+4*x+11", "y^2=107*x^5+26*x^4+111*x^3+80*x^2+80*x+5", "y^2=40*x^6+53*x^5+76*x^4+30*x^3+55*x^2+13*x+107", "y^2=18*x^6+112*x^5+94*x^4+98*x^3+68*x^2+93*x+39", "y^2=99*x^6+31*x^5+87*x^4+51*x^3+72*x^2+71*x+1", "y^2=39*x^6+104*x^5+106*x^4+85*x^3+92*x^2+14*x+74", "y^2=43*x^6+111*x^5+64*x^4+48*x^3+83*x^2+90*x+37", "y^2=104*x^6+25*x^5+100*x^4+16*x^3+56*x^2+11*x+66", "y^2=97*x^6+57*x^5+66*x^4+103*x^3+88*x^2+36*x+2", "y^2=17*x^6+8*x^5+99*x^4+49*x^3+20*x^2+67*x+40", "y^2=62*x^6+86*x^5+29*x^4+89*x^3+18*x^2+17*x+55", "y^2=88*x^6+109*x^5+63*x^4+2*x^2+46*x+104", "y^2=55*x^6+26*x^5+17*x^4+104*x^3+42*x^2+81*x+73", "y^2=92*x^6+24*x^5+88*x^4+35*x^3+50*x^2+66*x+93"], "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": ["4.0.28117388.1"], "geometric_splitting_field": "4.0.28117388.1", "geometric_splitting_polynomials": [[6247, -29, 156, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 36, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 36, "label": "2.113.ax_nq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.28117388.1"], "p": 113, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 13, 1, 2], [1, 17, 1, 9]], "poly": [1, -23, 354, -2599, 12769], "poly_str": "1 -23 354 -2599 12769 ", "primitive_models": [], "principal_polarization_count": 36, "q": 113, "real_poly": [1, -23, 128], "simple_distinct": ["2.113.ax_nq"], "simple_factors": ["2.113.ax_nqA"], "simple_multiplicities": [1], "singular_primes": [], "size": 36, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.28117388.1", "splitting_polynomials": [[6247, -29, 156, -1, 1]], "twist_count": 2, "twists": [["2.113.x_nq", "2.12769.gx_buhw", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 36, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 97292, "zfv_singular_count": 0, "zfv_singular_primes": []}