# Stored data for abelian variety isogeny class 2.19.c_bn, downloaded from the LMFDB on 06 June 2026.
{"abvar_count": 441, "abvar_counts": [441, 159201, 46294416, 16815605625, 6139547351721, 2214310804183296, 798929653773165201, 288436047941535755625, 104127980635077893874576, 37589998284419994938385441], "abvar_counts_str": "441 159201 46294416 16815605625 6139547351721 2214310804183296 798929653773165201 288436047941535755625 104127980635077893874576 37589998284419994938385441 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.536593197520164, 0.536593197520164], "center_dim": 2, "curve_count": 22, "curve_counts": [22, 436, 6748, 129028, 2479522, 47067046, 893785558, 16983247108, 322689651172, 6131070307156], "curve_counts_str": "22 436 6748 129028 2479522 47067046 893785558 16983247108 322689651172 6131070307156 ", "curves": ["y^2=x^6+4*x^3+7", "y^2=4*x^6+14*x^5+14*x^4+14*x^2+14*x+4", "y^2=12*x^6+6*x^5+18*x^3+6*x+12", "y^2=4*x^6+x^5+8*x^4+4*x^3+8*x^2+x+4", "y^2=3*x^6+18*x^5+14*x^4+x^3+14*x^2+18*x+3", "y^2=9*x^6+16*x^5+9*x^4+15*x^3+9*x^2+16*x+9", "y^2=18*x^6+10*x^5+7*x^4+4*x^3+11*x^2+3*x+16", "y^2=12*x^6+8*x^5+17*x^4+12*x^3+17*x^2+8*x+12"], "dim1_distinct": 1, "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"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 8, "label": "2.19.c_bn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3, 7], "number_fields": ["2.0.3.1"], "p": 19, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 2, 39, 38, 361], "poly_str": "1 2 39 38 361 ", "primitive_models": [], "q": 19, "real_poly": [1, 2, 1], "simple_distinct": ["1.19.b"], "simple_factors": ["1.19.bA", "1.19.bB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 24, "twists": [["2.19.ac_bn", "2.361.cw_dcl", 2], ["2.19.a_bl", "2.361.cw_dcl", 2], ["2.19.aq_dy", "2.6859.aei_yyg", 3], ["2.19.ah_be", "2.6859.aei_yyg", 3], ["2.19.ab_as", "2.6859.aei_yyg", 3], ["2.19.i_bt", "2.6859.aei_yyg", 3], ["2.19.o_dj", "2.6859.aei_yyg", 3], ["2.19.a_abl", "2.130321.abxu_bmqvb", 4], ["2.19.ap_dq", "2.47045881.bfia_riynzy", 6], ["2.19.ao_dj", "2.47045881.bfia_riynzy", 6], ["2.19.aj_bu", "2.47045881.bfia_riynzy", 6], ["2.19.ai_bt", "2.47045881.bfia_riynzy", 6], ["2.19.ag_bf", "2.47045881.bfia_riynzy", 6], ["2.19.a_aba", "2.47045881.bfia_riynzy", 6], ["2.19.a_al", "2.47045881.bfia_riynzy", 6], ["2.19.b_as", "2.47045881.bfia_riynzy", 6], ["2.19.g_bf", "2.47045881.bfia_riynzy", 6], ["2.19.h_be", "2.47045881.bfia_riynzy", 6], ["2.19.j_bu", "2.47045881.bfia_riynzy", 6], ["2.19.p_dq", "2.47045881.bfia_riynzy", 6], ["2.19.q_dy", "2.47045881.bfia_riynzy", 6], ["2.19.a_l", "2.2213314919066161.adahkae_bhqfruozgyag", 12], ["2.19.a_ba", "2.2213314919066161.adahkae_bhqfruozgyag", 12]]}