# Stored data for abelian variety isogeny class 2.59.az_km, downloaded from the LMFDB on 30 October 2025.
{"abvar_count": 2254, "abvar_counts": [2254, 11842516, 42252663544, 146925359005600, 511165460071757554, 1779213080135399935936, 6193388913015143488687234, 21559177312275205152742953600, 75047496547759644513682966144984, 261240335742432651534321470706312916], "abvar_counts_str": "2254 11842516 42252663544 146925359005600 511165460071757554 1779213080135399935936 6193388913015143488687234 21559177312275205152742953600 75047496547759644513682966144984 261240335742432651534321470706312916 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.135062563049179, 0.245953251860904], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 35, "curve_counts": [35, 3401, 205730, 12125193, 714992425, 42180904946, 2488652569795, 146830436958673, 8662995817930790, 511116753765983081], "curve_counts_str": "35 3401 205730 12125193 714992425 42180904946 2488652569795 146830436958673 8662995817930790 511116753765983081 ", "curves": ["y^2=32*x^6+58*x^5+15*x^4+58*x^3+24*x^2+25*x+14", "y^2=45*x^6+52*x^5+16*x^4+35*x^3+5*x^2+58*x", "y^2=14*x^6+17*x^5+30*x^4+2*x^3+16*x^2+53*x+28", "y^2=11*x^6+5*x^5+2*x^4+50*x^3+2*x^2+38*x+33", "y^2=42*x^6+31*x^5+45*x^4+5*x^3+50*x^2+26*x+1", "y^2=27*x^6+4*x^5+5*x^4+32*x^3+51*x^2+33*x+55", "y^2=55*x^6+45*x^5+58*x^4+57*x^3+44*x^2+45*x+52", "y^2=39*x^6+30*x^5+27*x^4+27*x^3+26*x^2+22*x+49"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.40.1", "2.0.115.1"], "geometric_splitting_field": "4.0.846400.3", "geometric_splitting_polynomials": [[196, 0, -18, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.59.az_km", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.40.1", "2.0.115.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -25, 272, -1475, 3481], "poly_str": "1 -25 272 -1475 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -25, 154], "simple_distinct": ["1.59.ao", "1.59.al"], "simple_factors": ["1.59.aoA", "1.59.alA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,17*F-V+14"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.846400.3", "splitting_polynomials": [[196, 0, -18, 0, 1]], "twist_count": 4, "twists": [["2.59.ad_abk", "2.3481.add_kqu", 2], ["2.59.d_abk", "2.3481.add_kqu", 2], ["2.59.z_km", "2.3481.add_kqu", 2]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4600, "zfv_singular_count": 2, "zfv_singular_primes": ["3,17*F-V+14"]}