# Stored data for abelian variety isogeny class 2.19.am_cr, downloaded from the LMFDB on 18 October 2025.
{"abvar_count": 191, "abvar_counts": [191, 128161, 47539136, 16981973305, 6125692347071, 2213008391520256, 799044670009668791, 288449384824034140905, 104127995238661094476736, 37589995770672827115745441], "abvar_counts_str": "191 128161 47539136 16981973305 6125692347071 2213008391520256 799044670009668791 288449384824034140905 104127995238661094476736 37589995770672827115745441 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.106312411237092, 0.357895350440591], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 356, 6932, 130308, 2473928, 47039366, 893914232, 16984032388, 322689696428, 6131069897156], "curve_counts_str": "8 356 6932 130308 2473928 47039366 893914232 16984032388 322689696428 6131069897156 ", "curves": ["y^2=10*x^6+17*x^5+3*x^4+6*x^3+8*x^2+7*x+2", "y^2=13*x^6+11*x^4+14*x^3+17*x^2+18*x+18", "y^2=14*x^6+8*x^5+2*x^4+8*x^3+6*x^2+5*x+13", "y^2=14*x^6+9*x^5+15*x^4+5*x^3+12*x^2+x+14", "y^2=13*x^6+8*x^5+x^4+15*x^3+11*x^2+9*x+8", "y^2=11*x^6+2*x^5+2*x^4+18*x^3+12*x^2+18*x+8", "y^2=10*x^6+17*x^5+7*x^4+7*x^3+13*x+13", "y^2=3*x^6+5*x^5+9*x^4+11*x^3+10*x^2+3*x+5"], "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": 2, "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": ["4.0.12625.1"], "geometric_splitting_field": "4.0.12625.1", "geometric_splitting_polynomials": [[36, -6, 11, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.19.am_cr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.12625.1"], "p": 19, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -12, 69, -228, 361], "poly_str": "1 -12 69 -228 361 ", "primitive_models": [], "q": 19, "real_poly": [1, -12, 31], "simple_distinct": ["2.19.am_cr"], "simple_factors": ["2.19.am_crA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2-6*F-V+12"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.12625.1", "splitting_polynomials": [[36, -6, 11, -1, 1]], "twist_count": 2, "twists": [["2.19.m_cr", "2.361.ag_l", 2]], "weak_equivalence_count": 2, "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": 505, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2-6*F-V+12"]}