# Stored data for abelian variety isogeny class 2.19.c_bm, downloaded from the LMFDB on 09 November 2025.
{"abvar_count": 440, "abvar_counts": [440, 158400, 46332440, 16833484800, 6138207330200, 2214077190494400, 798953303762571320, 288438214626747187200, 104127669806489823004280, 37589983257879355251960000], "abvar_counts_str": "440 158400 46332440 16833484800 6138207330200 2214077190494400 798953303762571320 288438214626747187200 104127669806489823004280 37589983257879355251960000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.5, 0.573681533379471], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 22, "curve_counts": [22, 434, 6754, 129166, 2478982, 47062082, 893812018, 16983374686, 322688687926, 6131067856274], "curve_counts_str": "22 434 6754 129166 2478982 47062082 893812018 16983374686 322688687926 6131067856274 ", "curves": ["y^2=7*x^6+11*x^5+10*x^4+4*x^3+18*x^2+6*x+1", "y^2=11*x^6+6*x^5+16*x^4+11*x^3+16*x^2+6*x+11", "y^2=5*x^6+x^5+14*x^4+11*x^3+15*x^2+9*x+17", "y^2=6*x^6+18*x^5+11*x^4+16*x^3+11*x^2+18*x+6", "y^2=4*x^6+3*x^5+5*x^4+6*x^3+17*x^2+2*x+4", "y^2=4*x^6+14*x^5+13*x^4+12*x^3+13*x^2+14*x+4", "y^2=10*x^6+12*x^5+17*x^4+13*x^3+5*x^2+18*x+10", "y^2=13*x^6+13*x^5+11*x^4+7*x^3+11*x^2+13*x+13", "y^2=14*x^6+2*x^5+x^3+2*x+14", "y^2=2*x^5+12*x^4+5*x^3+12*x^2+2*x", "y^2=3*x^6+8*x^5+9*x^4+11*x^3+7*x^2+10*x+14", "y^2=15*x^6+10*x^5+12*x^4+12*x^2+10*x+15", "y^2=14*x^6+16*x^5+8*x^4+11*x^3+8*x^2+16*x+14", "y^2=14*x^6+5*x^5+17*x^4+15*x^3+17*x^2+5*x+14", "y^2=8*x^6+9*x^5+12*x^4+5*x^3+12*x^2+9*x+8", "y^2=16*x^6+12*x^5+5*x^4+16*x^3+5*x^2+12*x+16", "y^2=2*x^6+13*x^5+3*x^4+8*x^3+15*x^2+2*x+3", "y^2=17*x^6+6*x^5+6*x^3+6*x+17"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": 3, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 18, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 18, "label": "2.19.c_bm", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "number_fields": ["2.0.19.1", "2.0.8.1"], "p": 19, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, 2, 38, 38, 361], "poly_str": "1 2 38 38 361 ", "primitive_models": [], "q": 19, "real_poly": [1, 2], "simple_distinct": ["1.19.a", "1.19.c"], "simple_factors": ["1.19.aA", "1.19.cA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F-11", "3,-V+8"], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.23104.2", "splitting_polynomials": [[11, -14, 15, -2, 1]], "twist_count": 2, "twists": [["2.19.ac_bm", "2.361.cu_czm", 2]], "weak_equivalence_count": 10, "zfv_index": 24, "zfv_index_factorization": [[2, 3], [3, 1]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 5472, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F-11", "3,-V+8"]}