# Stored data for abelian variety isogeny class 2.53.ax_iw, downloaded from the LMFDB on 06 December 2025.
{"abvar_count": 1798, "abvar_counts": [1798, 7699036, 22171008544, 62260687509376, 174876111723431998, 491249948520399745792, 1379942713983883886781454, 3876268427364307171623464448, 10888439921414837070026991032608, 30585627442373572700311942608465916], "abvar_counts_str": "1798 7699036 22171008544 62260687509376 174876111723431998 491249948520399745792 1379942713983883886781454 3876268427364307171623464448 10888439921414837070026991032608 30585627442373572700311942608465916 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0511985002933006, 0.298119617728851], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 31, "curve_counts": [31, 2741, 148924, 7890609, 418168331, 22163957066, 1174708119455, 62259680408833, 3299763640178908, 174887471231929421], "curve_counts_str": "31 2741 148924 7890609 418168331 22163957066 1174708119455 62259680408833 3299763640178908 174887471231929421 ", "curves": ["y^2=9*x^6+19*x^5+31*x^4+4*x^3+12*x^2+30*x+36", "y^2=22*x^6+32*x^5+31*x^4+17*x^3+47*x^2+25*x+45", "y^2=51*x^6+31*x^5+49*x^4+38*x^3+34*x^2+47*x+18", "y^2=11*x^6+42*x^5+31*x^4+43*x^3+21*x^2+26*x+50"], "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": ["4.0.814572.2"], "geometric_splitting_field": "4.0.814572.2", "geometric_splitting_polynomials": [[103, 79, 32, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "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": 4, "label": "2.53.ax_iw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.814572.2"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 11, 1, 2]], "poly": [1, -23, 230, -1219, 2809], "poly_str": "1 -23 230 -1219 2809 ", "primitive_models": [], "principal_polarization_count": 4, "q": 53, "real_poly": [1, -23, 124], "simple_distinct": ["2.53.ax_iw"], "simple_factors": ["2.53.ax_iwA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.814572.2", "splitting_polynomials": [[103, 79, 32, -1, 1]], "twist_count": 2, "twists": [["2.53.x_iw", "2.2809.acr_dqa", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 748, "zfv_singular_count": 0, "zfv_singular_primes": []}