# Stored data for abelian variety isogeny class 2.19.j_ca, downloaded from the LMFDB on 14 October 2025.
{"abvar_count": 594, "abvar_counts": [594, 138996, 45954216, 17005326624, 6130415889774, 2213929646824896, 798940471303428894, 288440933418041399424, 104127984975240565576776, 37589922692487141545301876], "abvar_counts_str": "594 138996 45954216 17005326624 6130415889774 2213929646824896 798940471303428894 288440933418041399424 104127984975240565576776 37589922692487141545301876 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.573681533379471, 0.79674013581317], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 29, "curve_counts": [29, 385, 6698, 130489, 2475839, 47058946, 893797661, 16983534769, 322689664622, 6131057977825], "curve_counts_str": "29 385 6698 130489 2475839 47058946 893797661 16983534769 322689664622 6131057977825 ", "curves": ["y^2=16*x^6+6*x^5+2*x^4+6*x^3+9*x^2+13*x+4", "y^2=18*x^6+16*x^5+6*x^4+9*x^3+x^2+17*x+9", "y^2=7*x^6+16*x^5+9*x^4+8*x^3+x^2+2*x+7", "y^2=15*x^6+18*x^5+5*x^4+17*x^3+4*x+9", "y^2=12*x^6+7*x^5+8*x^4+8*x^3+10*x+16", "y^2=12*x^6+2*x^5+17*x^4+9*x^3+14*x^2+18*x+6", "y^2=11*x^5+16*x^4+10*x^3+17*x^2+12*x+8", "y^2=7*x^6+5*x^5+14*x^4+18*x^3+16*x^2+11*x+9", "y^2=16*x^6+18*x^5+10*x^4+9*x^3+7*x^2+5*x+16", "y^2=4*x^6+12*x^5+12*x^4+15*x^3+3*x^2+15*x+2", "y^2=4*x^6+6*x^5+18*x^3+14*x^2+12*x+14", "y^2=12*x^6+11*x^5+17*x^4+2*x^3+8*x^2+12*x+4"], "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.8.1", "2.0.3.1"], "geometric_splitting_field": "4.0.576.1", "geometric_splitting_polynomials": [[4, 0, -2, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "2.19.j_ca", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.8.1", "2.0.3.1"], "p": 19, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 9, 52, 171, 361], "poly_str": "1 9 52 171 361 ", "primitive_models": [], "q": 19, "real_poly": [1, 9, 14], "simple_distinct": ["1.19.c", "1.19.h"], "simple_factors": ["1.19.cA", "1.19.hA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,-9*F+V+1", "5,3*F^2+9*F+3*V+68", "3,F+3*V+17"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.576.1", "splitting_polynomials": [[4, 0, -2, 0, 1]], "twist_count": 12, "twists": [["2.19.aj_ca", "2.361.x_nk", 2], ["2.19.af_y", "2.361.x_nk", 2], ["2.19.f_y", "2.361.x_nk", 2], ["2.19.ag_w", "2.6859.agg_bdby", 3], ["2.19.d_bo", "2.6859.agg_bdby", 3], ["2.19.ak_cc", "2.47045881.tim_kdjtvy", 6], ["2.19.ad_bo", "2.47045881.tim_kdjtvy", 6], ["2.19.ab_bk", "2.47045881.tim_kdjtvy", 6], ["2.19.b_bk", "2.47045881.tim_kdjtvy", 6], ["2.19.g_w", "2.47045881.tim_kdjtvy", 6], ["2.19.k_cc", "2.47045881.tim_kdjtvy", 6]], "weak_equivalence_count": 8, "zfv_index": 225, "zfv_index_factorization": [[3, 2], [5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1944, "zfv_singular_count": 6, "zfv_singular_primes": ["3,-9*F+V+1", "5,3*F^2+9*F+3*V+68", "3,F+3*V+17"]}