# Stored data for abelian variety isogeny class 3.19.aj_cl_aml, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 4539, "abvar_counts": [4539, 53110839, 322905381417, 2197641593588439, 15184382590865152029, 104176492109523056268351, 714266420728141910867559744, 4898827833368646187877101224519, 33600723062387347601295547068365967, 230466606430228492623446665803713335959], "abvar_counts_str": "4539 53110839 322905381417 2197641593588439 15184382590865152029 104176492109523056268351 714266420728141910867559744 4898827833368646187877101224519 33600723062387347601295547068365967 230466606430228492623446665803713335959 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.135165518629409, 0.420208233710824, 0.540494570088052], "center_dim": 6, "curve_count": 11, "curve_counts": [11, 407, 6863, 129395, 2476631, 47068079, 893942984, 16983788051, 322688736113, 6131065952747], "curve_counts_str": "11 407 6863 129395 2476631 47068079 893942984 16983788051 322688736113 6131065952747 ", "curves": ["y^2=18*x^7+9*x^5+6*x^4+15*x^3+16*x^2+14*x+10", "y^2=x^7+11*x^5+5*x^4+13*x^3+10*x^2+3*x+8", "y^2=18*x^7+11*x^4+14*x^3+4*x^2+18", "y^2=18*x^7+18*x^5+2*x^4+10*x^3+15*x^2+17*x+3", "y^2=x^7+17*x^5+18*x^4+6*x^3+8*x^2+14*x+3", "y^2=18*x^7+13*x^5+14*x^4+6*x^3+2*x^2+5*x+13", "y^2=x^7+15*x^5+18*x^4+18*x^3+15*x^2+10*x+2", "y^2=18*x^7+15*x^5+17*x^4+14*x^3+14*x^2+6*x+2", "y^2=18*x^7+13*x^5+10*x^4+4*x^3+3*x^2+8*x+13", "y^2=18*x^7+17*x^5+15*x^4+7*x^3+11*x^2+7*x+6", "y^2=x^7+13*x^5+17*x^4+5*x^3+6*x^2+14", "y^2=x^7+17*x^5+8*x^4+12*x^3+5*x^2+12*x+12", "y^2=18*x^7+10*x^5+13*x^4+5*x^3+10*x^2+x+8", "y^2=18*x^7+2*x^5+18*x^4+16*x^3+4*x^2+5*x+12", "y^2=x^7+12*x^5+16*x^4+5*x^3+13*x^2+14*x+8", "y^2=18*x^7+14*x^5+7*x^4+12*x^3+17*x^2+13*x+13", "y^2=18*x^7+x^5+5*x^4+14*x^3+6*x^2+15*x+12", "y^2=18*x^7+15*x^5+x^3+7*x^2+18*x+12", "y^2=x^7+14*x^5+12*x^4+2*x^3+9*x^2+14*x+17", "y^2=x^7+3*x^5+15*x^4+x^3+16*x^2+6"], "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": ["6T6"], "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": ["6T6"], "geometric_number_fields": ["6.0.451390239.2"], "geometric_splitting_field": "6.0.451390239.2", "geometric_splitting_polynomials": [[1272, 72, 450, -51, 42, -3, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 20, "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.aj_cl_aml", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 3, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["6.0.451390239.2"], "p": 19, "p_rank": 2, "p_rank_deficit": 1, "poly": [1, -9, 63, -323, 1197, -3249, 6859], "poly_str": "1 -9 63 -323 1197 -3249 6859 ", "primitive_models": [], "q": 19, "real_poly": [1, -9, 6, 19], "simple_distinct": ["3.19.aj_cl_aml"], "simple_factors": ["3.19.aj_cl_amlA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1/2A", "1/2B", "1A", "1B"], "splitting_field": "6.0.451390239.2", "splitting_polynomials": [[1272, 72, 450, -51, 42, -3, 1]], "twist_count": 2, "twists": [["3.19.j_cl_ml", "3.361.bt_vd_con", 2]]}