# Stored data for abelian variety isogeny class 2.19.an_da, downloaded from the LMFDB on 06 June 2024.
{"abvar_count": 180, "abvar_counts": [180, 126000, 47764080, 17061912000, 6133935663900, 2213253727776000, 799009601161295340, 288445037185938528000, 104127924804774190734960, 37590021145906989987150000], "abvar_counts_str": "180 126000 47764080 17061912000 6133935663900 2213253727776000 799009601161295340 288445037185938528000 104127924804774190734960 37590021145906989987150000 ", "angle_rank": 2, "angles": [0.130073469146503, 0.30556997246711], "center_dim": 4, "curve_count": 7, "curve_counts": [7, 349, 6964, 130921, 2477257, 47044582, 893875003, 16983776401, 322689478156, 6131074035949], "curve_counts_str": "7 349 6964 130921 2477257 47044582 893875003 16983776401 322689478156 6131074035949 ", "curves": ["y^2=12*x^6+8*x^5+5*x^4+18*x^2+4*x+4", "y^2=2*x^6+10*x^5+11*x^4+2*x^3+7*x^2+11*x+10", "y^2=16*x^5+18*x^4+3*x^3+3*x^2+12*x+8", "y^2=14*x^6+2*x^5+3*x^4+16*x^3+x^2+18*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, "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": ["2.0.3.1", "2.0.51.1"], "geometric_splitting_field": "4.0.2601.1", "geometric_splitting_polynomials": [[16, 4, 5, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "jacobian_count": 4, "label": "2.19.an_da", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "number_fields": ["2.0.3.1", "2.0.51.1"], "p": 19, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 5, 1, 6]], "poly": [1, -13, 78, -247, 361], "poly_str": "1 -13 78 -247 361 ", "primitive_models": [], "principal_polarization_count": 8, "q": 19, "real_poly": [1, -13, 40], "simple_distinct": ["1.19.ai", "1.19.af"], "simple_factors": ["1.19.aiA", "1.19.afA"], "simple_multiplicities": [1, 1], "size": 16, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2601.1", "splitting_polynomials": [[16, 4, 5, -1, 1]], "twist_count": 12, "twists": [["2.19.ad_ac", "2.361.an_ou", 2], ["2.19.d_ac", "2.361.an_ou", 2], ["2.19.n_da", "2.361.an_ou", 2], ["2.19.ae_bh", "2.6859.ea_hba", 3], ["2.19.c_d", "2.6859.ea_hba", 3], ["2.19.am_cv", "2.47045881.abya_acrgkac", 6], ["2.19.ag_br", "2.47045881.abya_acrgkac", 6], ["2.19.ac_d", "2.47045881.abya_acrgkac", 6], ["2.19.e_bh", "2.47045881.abya_acrgkac", 6], ["2.19.g_br", "2.47045881.abya_acrgkac", 6], ["2.19.m_cv", "2.47045881.abya_acrgkac", 6]], "zfv_index": 18, "zfv_index_factorization": [[2, 1], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 612}