# Stored data for abelian variety isogeny class 2.53.ax_iv, downloaded from the LMFDB on 06 December 2025.
{"abvar_count": 1797, "abvar_counts": [1797, 7692957, 22160670489, 62251231105989, 174870196450697472, 491247081391884320853, 1379941504320192861211113, 3876267907943321538519195237, 10888439667180264563034515970573, 30585627308852919399954121459126272], "abvar_counts_str": "1797 7692957 22160670489 62251231105989 174870196450697472 491247081391884320853 1379941504320192861211113 3876267907943321538519195237 10888439667180264563034515970573 30585627308852919399954121459126272 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0161938946932142, 0.302684961462326], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 31, "curve_counts": [31, 2739, 148855, 7889411, 418154186, 22163827707, 1174707089699, 62259672066019, 3299763563132611, 174887470468463334], "curve_counts_str": "31 2739 148855 7889411 418154186 22163827707 1174707089699 62259672066019 3299763563132611 174887470468463334 ", "curves": ["y^2=14*x^6+6*x^5+2*x^4+7*x^3+31*x^2+50*x+11", "y^2=12*x^6+9*x^5+35*x^4+24*x^3+23*x^2+17*x+27"], "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": ["4.0.105413.1"], "geometric_splitting_field": "4.0.105413.1", "geometric_splitting_polynomials": [[47, -15, 16, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.53.ax_iv", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.105413.1"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -23, 229, -1219, 2809], "poly_str": "1 -23 229 -1219 2809 ", "primitive_models": [], "q": 53, "real_poly": [1, -23, 123], "simple_distinct": ["2.53.ax_iv"], "simple_factors": ["2.53.ax_ivA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.105413.1", "splitting_polynomials": [[47, -15, 16, -2, 1]], "twist_count": 2, "twists": [["2.53.x_iv", "2.2809.act_cyj", 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": 77, "zfv_singular_count": 0, "zfv_singular_primes": []}