# Stored data for abelian variety isogeny class 3.19.d_v_cn, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 8431, "abvar_counts": [8431, 51673599, 324283129597, 2223661769664759, 15178386871351698541, 104152020435353300335191, 714103142445939517542564352, 4898673308112802293984875950311, 33600853981846083530542331204522047, 230466623568479534558827548939878440119], "abvar_counts_str": "8431 51673599 324283129597 2223661769664759 15178386871351698541 104152020435353300335191 714103142445939517542564352 4898673308112802293984875950311 33600853981846083530542331204522047 230466623568479534558827548939878440119 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.288225648347929, 0.547002850763901, 0.802877767300149], "center_dim": 6, "curve_count": 23, "curve_counts": [23, 395, 6893, 130931, 2475653, 47057027, 893738624, 16983252323, 322689993407, 6131066408675], "curve_counts_str": "23 395 6893 130931 2475653 47057027 893738624 16983252323 322689993407 6131066408675 ", "curves": ["y^2=x^7+3*x^5+11*x^4+11*x^3+10*x^2+18*x+13", "y^2=18*x^7+x^5+14*x^4+2*x^3+11*x^2+16*x+9", "y^2=x^7+18*x^4+9*x^3+17*x^2+3*x+3", "y^2=18*x^7+10*x^5+3*x^4+x^3+3*x^2+2*x+4", "y^2=18*x^7+2*x^5+11*x^4+2*x^3+11*x^2+15*x+16", "y^2=18*x^7+2*x^3+3*x^2+9*x+5", "y^2=x^7+9*x^5+12*x^4+11*x^3+7*x^2+3*x+3", "y^2=18*x^7+7*x^5+10*x^4+8*x^3+16*x^2+16*x+5", "y^2=18*x^7+x^5+x^4+15*x^3+13*x^2+x+7", "y^2=18*x^7+x^5+2*x^4+18*x^3+6*x^2+5*x+16", "y^2=18*x^7+16*x^5+6*x^3+5*x^2+10*x+1", "y^2=18*x^7+14*x^5+7*x^4+15*x^3+16*x^2+2*x+5", "y^2=x^7+15*x^5+5*x^3+14*x^2+5*x+18", "y^2=x^7+14*x^5+x^4+3*x^3+7*x^2+4*x+18", "y^2=18*x^7+16*x^5+11*x^4+2*x^3+3*x^2+13*x+1", "y^2=x^7+8*x^5+8*x^4+13*x^3+11*x^2+1", "y^2=x^7+9*x^5+5*x^4+15*x^3+8*x^2+6*x+4", "y^2=18*x^7+7*x^5+4*x^4+11*x^3+16*x^2+18*x+6", "y^2=x^7+18*x^5+8*x^4+15*x^3+3*x^2+9*x+7", "y^2=x^7+12*x^5+3*x^4+13*x^3+13*x^2+6*x+18", "y^2=x^7+10*x^5+17*x^4+14*x^3+7*x^2+13*x+6", "y^2=x^7+17*x^5+11*x^4+6*x^3+13*x^2+3", "y^2=18*x^7+2*x^4+17*x^2+10*x+6", "y^2=18*x^7+11*x^5+9*x^4+10*x^3+16*x^2+2*x+8", "y^2=x^7+5*x^5+12*x^4+9*x^3+5*x^2+10*x+4", "y^2=x^7+3*x^5+7*x^4+18*x^3+14*x^2+18*x+1", "y^2=18*x^7+9*x^5+14*x^4+16*x^3+4*x^2+18*x+9", "y^2=x^7+5*x^5+8*x^4+12*x^3+12*x^2+8*x+1", "y^2=18*x^7+17*x^5+6*x^4+14*x^3+14*x^2+2*x+2", "y^2=x^7+10*x^5+6*x^4+15*x^3+7*x^2+11*x+18", "y^2=18*x^7+14*x^5+5*x^4+2*x^3+2*x^2+15*x+18", "y^2=x^7+8*x^5+8*x^4+14*x^3+14*x^2+6*x+15", "y^2=x^7+4*x^5+3*x^4+16*x^2+11*x+10", "y^2=x^7+18*x^5+17*x^4+11*x^3+8*x^2+18*x+1", "y^2=18*x^7+5*x^5+3*x^4+5*x^3+3*x^2+13*x+3", "y^2=x^7+4*x^5+7*x^4+17*x^2+15*x+16", "y^2=18*x^7+13*x^5+2*x^3+3*x^2+3*x+5", "y^2=18*x^7+17*x^5+10*x^4+18*x^3+14*x^2+7*x+13", "y^2=x^7+13*x^5+4*x^4+4*x^3+8*x^2+12*x+11", "y^2=x^7+18*x^5+4*x^4+12*x^3+10*x^2+x+17", "y^2=x^7+11*x^5+17*x^4+8*x^3+16*x^2+x+4", "y^2=18*x^7+12*x^5+9*x^4+12*x^3+7*x+12", "y^2=18*x^7+13*x^5+7*x^4+16*x^3+18*x^2+10*x+11", "y^2=x^7+6*x^5+13*x^4+12*x^3+18*x^2+4*x+4", "y^2=x^7+15*x^5+13*x^4+16*x^3+x^2+3*x+16", "y^2=x^7+4*x^5+15*x^3+17*x^2+15*x+7", "y^2=18*x^7+6*x^5+11*x^4+9*x^3+7*x^2+17*x+10", "y^2=x^7+8*x^5+14*x^4+x^3+2*x^2+12*x+5", "y^2=18*x^7+14*x^5+12*x^4+3*x^2+10*x+4", "y^2=18*x^7+15*x^5+17*x^4+x^3+4*x^2+8*x+10", "y^2=x^7+5*x^5+14*x^4+9*x^3+15*x+3", "y^2=18*x^7+8*x^5+9*x^4+17*x^3+10*x^2+4*x+2", "y^2=x^7+13*x^5+13*x^4+9*x^3+4*x^2+2*x+17", "y^2=x^7+18*x^5+11*x^4+12*x^3+5*x^2+5*x+12", "y^2=x^7+11*x^5+17*x^4+2*x^3+18*x^2+8*x+9", "y^2=x^7+5*x^5+15*x^4+12*x^3+3*x^2+6*x+2", "y^2=x^7+12*x^5+15*x^4+15*x^3+17*x^2+x+6", "y^2=x^7+7*x^5+10*x^4+15*x^3+8*x^2+5*x+17", "y^2=18*x^7+4*x^5+6*x^4+2*x^3+14*x^2+11*x+5", "y^2=x^7+5*x^5+4*x^4+7*x^2+10*x+12", "y^2=18*x^7+x^5+14*x^4+14*x^3+18*x^2+14*x+9", "y^2=x^7+10*x^5+7*x^3+11*x^2+15", "y^2=18*x^7+13*x^5+11*x^4+18*x^3+11*x^2+9*x+6", "y^2=18*x^7+2*x^5+15*x^4+2*x^3+4*x^2+2*x+11", "y^2=18*x^7+5*x^5+6*x^4+17*x^3+10*x^2+6*x+18", "y^2=x^7+15*x^5+18*x^4+5*x^3+16*x^2+9*x+16", "y^2=x^7+7*x^5+11*x^4+13*x^3+12*x^2+12*x+7", "y^2=x^7+7*x^5+12*x^4+15*x^3+x^2+9*x+4", "y^2=x^7+x^5+15*x^4+x^3+16*x^2+6*x+2", "y^2=x^7+18*x^5+15*x^4+12*x^3+15*x^2+18*x+9", "y^2=18*x^7+15*x^4+18*x^3+10*x^2+9", "y^2=18*x^7+x^5+8*x^4+4*x^3+x^2+2*x+9", "y^2=18*x^7+8*x^5+x^4+13*x^3+15*x^2+5*x+6", "y^2=x^7+11*x^5+9*x^4+11*x^3+2*x^2+8*x+2", "y^2=x^7+2*x^5+11*x^4+8*x^3+18*x+16", "y^2=18*x^7+11*x^5+4*x^4+2*x^3+16*x^2+13*x+18", "y^2=x^7+9*x^5+4*x^4+x^3+3*x^2+4*x+11", "y^2=x^7+14*x^5+7*x^4+18*x^3+x^2+3*x+4", "y^2=x^7+14*x^5+2*x^4+16*x^3+5*x^2+17*x+9", "y^2=x^7+5*x^5+4*x^4+8*x^3+10*x^2+x+16", "y^2=x^7+6*x^5+3*x^4+13*x^3+13*x^2+4*x+4", "y^2=18*x^7+11*x^5+12*x^4+18*x^3+15*x^2+9*x+9", "y^2=18*x^7+3*x^5+15*x^4+9*x^3+2*x^2+14*x+14", "y^2=18*x^7+18*x^5+2*x^4+x^3+17*x^2+14*x+10", "y^2=18*x^7+5*x^5+4*x^4+11*x^3+7*x^2+17*x+13", "y^2=18*x^7+18*x^5+14*x^4+2*x^3+8*x^2+2*x+9", "y^2=x^7+18*x^5+12*x^4+2*x^3+3*x^2+14*x+18", "y^2=18*x^7+9*x^5+16*x^4+7*x^2+4*x+13", "y^2=18*x^7+2*x^5+x^4+2*x^3+15*x^2+3*x+5", "y^2=18*x^7+16*x^5+6*x^4+14*x^3+16*x^2+8*x+8", "y^2=x^7+6*x^5+4*x^4+18*x^2+11*x+8", "y^2=18*x^7+8*x^5+13*x^4+3*x^3+4*x^2+18*x+17", "y^2=x^7+4*x^5+16*x^4+3*x^3+11*x^2+5*x+7", "y^2=x^7+12*x^5+5*x^4+17*x^3+9*x^2+16*x+6", "y^2=x^7+3*x^5+2*x^4+12*x^3+7*x^2+8*x+16", "y^2=18*x^7+5*x^5+18*x^4+6*x^3+12*x^2+11*x+15", "y^2=x^7+10*x^5+4*x^4+18*x^3+6*x^2+4*x+5", "y^2=x^7+10*x^5+4*x^3+7*x^2+14*x+13", "y^2=18*x^7+17*x^5+3*x^4+16*x^3+5*x^2+11*x+17", "y^2=18*x^7+13*x^5+13*x^4+12*x^2+16*x+5", "y^2=x^7+2*x^5+4*x^4+17*x^3+16*x^2+2*x+6", "y^2=18*x^7+16*x^5+6*x^4+7*x^3+17*x^2+14*x+18", "y^2=18*x^7+17*x^5+15*x^4+13*x^3+14*x^2+7*x+4", "y^2=18*x^7+12*x^5+11*x^4+9*x^3+16*x^2+8*x+11", "y^2=x^7+5*x^5+4*x^4+10*x^3+15*x^2+17*x+2", "y^2=x^7+14*x^5+7*x^4+15*x^3+x^2+2*x+7", "y^2=18*x^7+8*x^5+x^4+10*x^3+15*x^2+11*x+4", "y^2=x^7+4*x^5+11*x^4+14*x^3+7*x^2+3", "y^2=18*x^7+15*x^5+15*x^4+4*x^2+15*x+11", "y^2=18*x^7+10*x^5+9*x^4+11*x^3+3*x^2+11*x+9"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.1025360991.1"], "geometric_splitting_field": "6.0.3194271.1", "geometric_splitting_polynomials": [[8, -8, 6, -5, 3, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 110, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.19.d_v_cn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.1025360991.1"], "p": 19, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 3, 21, 65, 399, 1083, 6859], "poly_str": "1 3 21 65 399 1083 6859 ", "primitive_models": [], "q": 19, "real_poly": [1, 3, -36, -49], "simple_distinct": ["3.19.d_v_cn"], "simple_factors": ["3.19.d_v_cnA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.3194271.1", "splitting_polynomials": [[8, -8, 6, -5, 3, -2, 1]], "twist_count": 2, "twists": [["3.19.ad_v_acn", "3.361.bh_bgr_bdft", 2]]}