# Stored data for abelian variety isogeny class 2.23.ao_dm, downloaded from the LMFDB on 31 October 2025.
{"abvar_count": 284, "abvar_counts": [284, 271504, 148878764, 78319129856, 41403008393164, 21911268418118416, 11592779938457273084, 6132658750412509466624, 3244159490829863598883196, 1716156569110414878020587024], "abvar_counts_str": "284 271504 148878764 78319129856 41403008393164 21911268418118416 11592779938457273084 6132658750412509466624 3244159490829863598883196 1716156569110414878020587024 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0869454733844947, 0.334554373298461], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 10, "curve_counts": [10, 514, 12238, 279870, 6432690, 148013218, 3404808886, 78311602494, 1801157425594, 41426529022914], "curve_counts_str": "10 514 12238 279870 6432690 148013218 3404808886 78311602494 1801157425594 41426529022914 ", "curves": ["y^2=7*x^6+7*x^5+19*x^4+4*x^3+5*x^2+16*x+20", "y^2=15*x^6+6*x^4+19*x^3+9*x^2+11*x+14", "y^2=21*x^6+17*x^5+20*x^4+11*x^2+14*x+19", "y^2=11*x^5+7*x^4+12*x^3+16*x^2+11*x+5", "y^2=10*x^6+16*x^5+7*x^4+21*x^3+8*x^2+9*x+5", "y^2=19*x^6+13*x^5+8*x^4+3*x^3+7*x^2+6*x+10"], "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": 3, "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": ["4.0.11600.1"], "geometric_splitting_field": "4.0.11600.1", "geometric_splitting_polynomials": [[29, 0, 11, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 6, "label": "2.23.ao_dm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.11600.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -14, 90, -322, 529], "poly_str": "1 -14 90 -322 529 ", "primitive_models": [], "q": 23, "real_poly": [1, -14, 44], "simple_distinct": ["2.23.ao_dm"], "simple_factors": ["2.23.ao_dmA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2+3*F-4"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.11600.1", "splitting_polynomials": [[29, 0, 11, 0, 1]], "twist_count": 2, "twists": [["2.23.o_dm", "2.529.aq_fm", 2]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 464, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2+3*F-4"]}