# Stored data for abelian variety isogeny class 2.23.am_dc, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 322, "abvar_counts": [322, 289156, 152025538, 78707106576, 41438017377442, 21913063512532612, 11592661827690871522, 6132608460735345082368, 3244150810100800640088706, 1716155531592944527772339716], "abvar_counts_str": "322 289156 152025538 78707106576 41438017377442 21913063512532612 11592661827690871522 6132608460735345082368 3244150810100800640088706 1716155531592944527772339716 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.218762671528948, 0.341325181820228], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 546, 12492, 281254, 6438132, 148025346, 3404774196, 78310960318, 1801152606060, 41426503978146], "curve_counts_str": "12 546 12492 281254 6438132 148025346 3404774196 78310960318 1801152606060 41426503978146 ", "curves": ["y^2=11*x^6+13*x^5+5*x^4+12*x^3+17*x^2+19*x", "y^2=17*x^6+16*x^5+19*x^4+17*x^3+5*x^2+18*x+14", "y^2=7*x^6+16*x^5+2*x^4+18*x^3+8*x^2+22*x+21", "y^2=12*x^6+22*x^5+20*x^4+9*x^3+15*x^2+7", "y^2=17*x^6+15*x^5+15*x^4+19*x^3+17*x^2+6*x+5", "y^2=2*x^6+6*x^5+14*x^4+6*x^3+11*x^2+2*x+3", "y^2=5*x^6+18*x^5+17*x^4+5*x^3+6*x^2+19*x+6", "y^2=7*x^6+6*x^5+5*x^4+16*x^3+x^2+19*x+17"], "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": ["4.0.168192.6"], "geometric_splitting_field": "4.0.168192.6", "geometric_splitting_polynomials": [[178, -12, 26, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "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": 8, "label": "2.23.am_dc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.168192.6"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -12, 80, -276, 529], "poly_str": "1 -12 80 -276 529 ", "primitive_models": [], "q": 23, "real_poly": [1, -12, 34], "simple_distinct": ["2.23.am_dc"], "simple_factors": ["2.23.am_dcA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.168192.6", "splitting_polynomials": [[178, -12, 26, 0, 1]], "twist_count": 2, "twists": [["2.23.m_dc", "2.529.q_bgc", 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": 2628, "zfv_singular_count": 0, "zfv_singular_primes": []}