# Stored data for abelian variety isogeny class 2.59.ax_jd, downloaded from the LMFDB on 12 September 2025.
{"abvar_count": 2339, "abvar_counts": [2339, 11926561, 42203847077, 146810968680941, 511074726590659024, 1779171108092886364129, 6193378760325947721396209, 21559178107789230670913466869, 75047498093387165246069364982367, 261240336048162975267712361571755776], "abvar_counts_str": "2339 11926561 42203847077 146810968680941 511074726590659024 1779171108092886364129 6193378760325947721396209 21559178107789230670913466869 75047498093387165246069364982367 261240336048162975267712361571755776 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.054208803062327, 0.329038588492897], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 37, "curve_counts": [37, 3427, 205495, 12115755, 714865512, 42179909887, 2488648490197, 146830442376579, 8662995996347995, 511116754364144502], "curve_counts_str": "37 3427 205495 12115755 714865512 42179909887 2488648490197 146830442376579 8662995996347995 511116754364144502 ", "curves": ["y^2=8*x^6+47*x^5+11*x^4+6*x^3+15*x^2+12*x+32", "y^2=32*x^6+52*x^5+18*x^4+35*x^3+33*x^2+34*x+56", "y^2=50*x^6+27*x^5+26*x^4+2*x^3+52*x^2+36*x+37", "y^2=36*x^5+3*x^4+8*x^3+3*x^2+51*x+18", "y^2=50*x^6+12*x^5+33*x^4+42*x^3+37*x^2+7*x+58", "y^2=7*x^6+56*x^5+50*x^4+15*x^3+56*x^2+52*x+47", "y^2=17*x^6+47*x^5+45*x^4+32*x^3+31*x^2+53*x+6", "y^2=43*x^6+26*x^5+17*x^4+11*x^3+10*x^2+47*x+54", "y^2=37*x^6+6*x^5+16*x^4+37*x^3+53*x^2+35*x+23", "y^2=11*x^6+42*x^5+18*x^4+44*x^3+23*x^2+13*x+11", "y^2=57*x^6+52*x^5+44*x^4+58*x^3+39*x^2+19*x+11"], "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": ["4.0.3317429.1"], "geometric_splitting_field": "4.0.3317429.1", "geometric_splitting_polynomials": [[199, 133, 39, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 11, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 11, "label": "2.59.ax_jd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.3317429.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -23, 237, -1357, 3481], "poly_str": "1 -23 237 -1357 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -23, 119], "simple_distinct": ["2.59.ax_jd"], "simple_factors": ["2.59.ax_jdA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3317429.1", "splitting_polynomials": [[199, 133, 39, -1, 1]], "twist_count": 2, "twists": [["2.59.x_jd", "2.3481.acd_bbh", 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": 1181, "zfv_singular_count": 0, "zfv_singular_primes": []}