# Stored data for abelian variety isogeny class 2.67.ba_lr, downloaded from the LMFDB on 09 October 2025.
{"abvar_count": 6561, "abvar_counts": [6561, 19847025, 90208921104, 406380241265625, 1822640918423900481, 8182796422403377209600, 36732216863722534861946409, 164890942670469618148062515625, 740195530363579246905912821327376, 3322737652163669887566490154323700625], "abvar_counts_str": "6561 19847025 90208921104 406380241265625 1822640918423900481 8182796422403377209600 36732216863722534861946409 164890942670469618148062515625 740195530363579246905912821327376 3322737652163669887566490154323700625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.79205812067932, 0.79205812067932], "center_dim": 2, "curve_count": 94, "curve_counts": [94, 4420, 299932, 20166628, 1349979274, 90459239110, 6060710235982, 406067637943108, 27206535003016804, 1822837799318484100], "curve_counts_str": "94 4420 299932 20166628 1349979274 90459239110 6060710235982 406067637943108 27206535003016804 1822837799318484100 ", "curves": ["y^2=34*x^6+7*x^5+7*x^4+18*x^3+7*x^2+7*x+34", "y^2=59*x^6+61*x^5+7*x^4+31*x^3+40*x^2+54*x+41", "y^2=x^6+37*x^3+1", "y^2=2*x^6+36*x^5+59*x^4+51*x^3+10*x^2+36*x+8", "y^2=62*x^6+14*x^5+3*x^4+42*x^3+3*x^2+14*x+62", "y^2=56*x^6+34*x^5+12*x^4+65*x^3+12*x^2+34*x+56", "y^2=52*x^6+39*x^5+15*x^4+30*x^3+50*x^2+57*x+11", "y^2=36*x^6+9*x^5+41*x^4+60*x^3+41*x^2+9*x+36", "y^2=37*x^6+13*x^5+8*x^4+7*x^3+8*x^2+13*x+37", "y^2=x^6+x^3+59", "y^2=33*x^6+45*x^5+13*x^4+63*x^3+13*x^2+45*x+33", "y^2=15*x^6+43*x^5+12*x^4+26*x^3+12*x^2+43*x+15", "y^2=44*x^6+12*x^5+21*x^4+19*x^3+21*x^2+12*x+44", "y^2=36*x^6+11*x^5+17*x^4+2*x^3+17*x^2+11*x+36", "y^2=x^6+x^3+24", "y^2=33*x^6+35*x^5+7*x^4+48*x^3+43*x^2+19*x+62"], "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": ["2.0.11.1"], "geometric_splitting_field": "2.0.11.1", "geometric_splitting_polynomials": [[3, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 16, "label": "2.67.ba_lr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.11.1"], "p": 67, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 26, 303, 1742, 4489], "poly_str": "1 26 303 1742 4489 ", "primitive_models": [], "q": 67, "real_poly": [1, 26, 169], "simple_distinct": ["1.67.n"], "simple_factors": ["1.67.nA", "1.67.nB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.11.1", "splitting_polynomials": [[3, -1, 1]], "twist_count": 6, "twists": [["2.67.aba_lr", "2.4489.acs_pcl", 2], ["2.67.a_abj", "2.4489.acs_pcl", 2], ["2.67.an_dy", "2.300763.abga_bsbvq", 3], ["2.67.a_bj", "2.20151121.wyk_ilszjf", 4], ["2.67.n_dy", "2.90458382169.bwtrg_btjyodcvu", 6]]}