# Stored data for abelian variety isogeny class 2.59.b_acg, downloaded from the LMFDB on 18 February 2026.
{"abvar_count": 3484, "abvar_counts": [3484, 11720176, 42253269136, 146911984233664, 511128985948200724, 1779229457282983403776, 6193382755330598920150084, 21559180493130496612713517824, 75047494769657936416648080892816, 261240334923417143944286448352433776], "abvar_counts_str": "3484 11720176 42253269136 146911984233664 511128985948200724 1779229457282983403776 6193382755330598920150084 21559180493130496612713517824 75047494769657936416648080892816 261240334923417143944286448352433776 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.1874015362731, 0.854068202939767], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 61, "curve_counts": [61, 3365, 205732, 12124089, 714941411, 42181293206, 2488650095489, 146830458622129, 8662995612678268, 511116752163579125], "curve_counts_str": "61 3365 205732 12124089 714941411 42181293206 2488650095489 146830458622129 8662995612678268 511116752163579125 ", "curves": ["y^2=55*x^6+13*x^5+4*x^4+41*x^3+26*x^2+31*x+30", "y^2=11*x^6+36*x^5+32*x^4+11*x^3+4*x^2+51*x+3", "y^2=34*x^6+25*x^5+49*x^4+49*x^3+16*x^2+14*x+12", "y^2=51*x^6+8*x^5+46*x^4+42*x^3+26*x^2+55*x+18", "y^2=11*x^6+12*x^5+8*x^4+x^3+49*x^2+38*x+38", "y^2=18*x^6+52*x^5+55*x^4+42*x^3+41*x^2+30*x+16", "y^2=14*x^6+14*x^5+20*x^4+28*x^3+x^2+42*x+25", "y^2=58*x^6+x^5+3*x^4+53*x^3+51*x^2+24*x+46", "y^2=36*x^6+19*x^5+57*x^4+29*x^3+14*x^2+24*x+47", "y^2=9*x^6+30*x^5+39*x^4+5*x^3+35*x^2+55*x+13", "y^2=21*x^6+31*x^5+55*x^4+32*x^3+5*x^2+3*x+54", "y^2=16*x^6+48*x^5+9*x^4+5*x^3+12*x^2+55*x+40", "y^2=14*x^6+57*x^5+43*x^4+22*x^3+56*x^2+36*x+24", "y^2=52*x^6+13*x^5+48*x^4+48*x^3+26*x^2+33*x+46", "y^2=47*x^6+35*x^5+46*x^4+16*x^3+10*x^2+17*x+35", "y^2=55*x^6+29*x^5+12*x^4+11*x^3+53*x^2+15*x+13", "y^2=52*x^6+58*x^4+18*x^3+11*x^2+24*x+20", "y^2=10*x^5+7*x^4+50*x^3+57*x^2+19*x+34", "y^2=58*x^6+36*x^5+28*x^4+14*x^3+30*x^2+22*x+34", "y^2=49*x^6+50*x^5+28*x^4+53*x^3+12*x^2+21*x+54", "y^2=53*x^6+47*x^5+19*x^4+35*x^3+13*x^2+3*x+45", "y^2=56*x^6+42*x^5+52*x^4+17*x^3+35*x^2+11*x+29"], "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": 4, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": 2, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.235.1"], "geometric_splitting_field": "2.0.235.1", "geometric_splitting_polynomials": [[59, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 22, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 22, "label": "2.59.b_acg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.497025.3"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 1, -58, 59, 3481], "poly_str": "1 1 -58 59 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, 1, -176], "simple_distinct": ["2.59.b_acg"], "simple_factors": ["2.59.b_acgA"], "simple_multiplicities": [1], "singular_primes": ["2,64*F-67*V-69", "29,-9*F-6*V+14"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.497025.3", "splitting_polynomials": [[3481, -59, -58, -1, 1]], "twist_count": 6, "twists": [["2.59.ab_acg", "2.3481.aen_pcq", 2], ["2.59.ac_ep", "2.205379.no_zdlu", 3], ["2.59.a_en", "2.42180533641.brfqa_bclzvcpfy", 6], ["2.59.c_ep", "2.42180533641.brfqa_bclzvcpfy", 6], ["2.59.a_aen", "2.1779197418239532716881.aoxqniroe_egszrfwueeiuweqg", 12]], "weak_equivalence_count": 4, "zfv_index": 58, "zfv_index_factorization": [[2, 1], [29, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3364, "zfv_singular_count": 4, "zfv_singular_primes": ["2,64*F-67*V-69", "29,-9*F-6*V+14"]}