# Stored data for abelian variety isogeny class 2.19.ag_bs, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 286, "abvar_counts": [286, 150436, 48676342, 16967375568, 6123778398166, 2213111848036804, 799011260065610878, 288440216800619000832, 104127325606016165227918, 37590002782524030353842756], "abvar_counts_str": "286 150436 48676342 16967375568 6123778398166 2213111848036804 799011260065610878 288440216800619000832 104127325606016165227918 37590002782524030353842756 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.317362850973041, 0.453539019737771], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 14, "curve_counts": [14, 414, 7094, 130198, 2473154, 47041566, 893876858, 16983492574, 322687621262, 6131071040814], "curve_counts_str": "14 414 7094 130198 2473154 47041566 893876858 16983492574 322687621262 6131071040814 ", "curves": ["y^2=2*x^6+17*x^5+17*x^4+7*x^3+17*x^2+x", "y^2=18*x^6+17*x^5+2*x^4+9*x^3+9*x^2+6*x+11", "y^2=18*x^6+18*x^5+18*x^4+15*x^3+6*x^2+6*x+18", "y^2=16*x^6+12*x^5+12*x^4+17*x^3+x^2+7*x+2", "y^2=2*x^6+12*x^5+14*x^4+11*x^3+4*x^2+3*x+11", "y^2=12*x^6+2*x^5+14*x^3+15*x^2+15*x", "y^2=8*x^6+x^5+13*x^4+11*x^3+9*x^2+15*x+1", "y^2=10*x^6+2*x^5+10*x^4+5*x^3+4*x^2+9*x+14", "y^2=3*x^6+10*x^5+16*x^4+6*x^2+4*x+3", "y^2=11*x^6+9*x^5+8*x^4+18*x^3+7*x^2+2*x+9"], "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": ["4.0.574272.1"], "geometric_splitting_field": "4.0.574272.1", "geometric_splitting_polynomials": [[277, -22, 32, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "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": 10, "label": "2.19.ag_bs", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.574272.1"], "p": 19, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -6, 44, -114, 361], "poly_str": "1 -6 44 -114 361 ", "primitive_models": [], "q": 19, "real_poly": [1, -6, 6], "simple_distinct": ["2.19.ag_bs"], "simple_factors": ["2.19.ag_bsA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.574272.1", "splitting_polynomials": [[277, -22, 32, -2, 1]], "twist_count": 2, "twists": [["2.19.g_bs", "2.361.ca_bxq", 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": 3988, "zfv_singular_count": 0, "zfv_singular_primes": []}