# Stored data for abelian variety isogeny class 2.71.ai_ga, downloaded from the LMFDB on 15 July 2026.
{"abvar_count": 4622, "abvar_counts": [4622, 26687428, 128648419838, 645478039315088, 3254983880510851582, 16409702977549637915908, 82721300323801672099039118, 416997640619863582857034698752, 2102084994967328231483572726585838, 10596610565099049155855806807427714308], "abvar_counts_str": "4622 26687428 128648419838 645478039315088 3254983880510851582 16409702977549637915908 82721300323801672099039118 416997640619863582857034698752 2102084994967328231483572726585838 10596610565099049155855806807427714308 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.395888795597621, 0.450965400242206], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 64, "curve_counts": [64, 5290, 359440, 25400838, 1804085424, 128100441898, 9095130012928, 645753558351294, 45848500213257088, 3255243547540902090], "curve_counts_str": "64 5290 359440 25400838 1804085424 128100441898 9095130012928 645753558351294 45848500213257088 3255243547540902090 ", "curves": ["y^2=44*x^6+26*x^5+69*x^4+70*x^3+16*x^2+50*x+46", "y^2=30*x^6+53*x^5+54*x^4+46*x^3+13*x^2+52*x+53", "y^2=68*x^6+67*x^5+50*x^4+54*x^3+4*x^2+30*x+43", "y^2=44*x^6+28*x^5+21*x^4+46*x^3+58*x^2+16*x+40", "y^2=53*x^6+63*x^5+8*x^4+21*x^3+30*x^2+41*x", "y^2=15*x^6+47*x^5+3*x^4+66*x^3+29*x^2+46*x+64", "y^2=47*x^6+4*x^5+52*x^4+11*x^3+43*x^2+28*x+2", "y^2=46*x^6+48*x^5+2*x^4+50*x^3+47*x^2+42*x+24", "y^2=66*x^6+63*x^5+6*x^4+50*x^3+61*x^2+13*x+15", "y^2=63*x^6+69*x^5+27*x^4+56*x^3+55*x^2+41*x+42", "y^2=57*x^6+27*x^5+51*x^4+27*x^3+54*x^2+10*x+10", "y^2=18*x^6+67*x^4+5*x^3+38*x^2+57*x+58", "y^2=10*x^6+26*x^5+16*x^4+49*x^3+48*x^2+9*x+58", "y^2=67*x^6+42*x^5+26*x^4+30*x^3+44*x^2+27*x+4", "y^2=46*x^6+52*x^4+64*x^3+30*x^2+20*x+17", "y^2=38*x^6+28*x^5+16*x^4+52*x^3+28*x^2+57*x+20", "y^2=64*x^6+22*x^5+15*x^4+21*x^3+12*x^2+42*x+45", "y^2=31*x^6+63*x^5+35*x^4+27*x^3+12*x^2+53*x+50", "y^2=30*x^6+37*x^5+3*x^4+63*x^3+67*x^2+12*x+63", "y^2=7*x^6+50*x^5+58*x^4+53*x^3+67*x^2+6*x+46", "y^2=58*x^6+13*x^5+45*x^4+11*x^3+63*x^2+18*x+11", "y^2=42*x^6+41*x^5+17*x^4+46*x^3+29*x^2+19*x+62", "y^2=37*x^6+53*x^5+46*x^4+51*x^3+69*x^2+25*x+47", "y^2=48*x^6+46*x^5+58*x^4+21*x^3+55*x^2+28*x+28", "y^2=63*x^6+40*x^5+40*x^4+7*x^3+29*x^2+59*x+4", "y^2=44*x^6+20*x^5+55*x^4+15*x^3+41*x^2+4*x+69", "y^2=54*x^6+4*x^5+47*x^4+27*x^3+35*x^2+57*x+5", "y^2=52*x^6+30*x^5+42*x^4+15*x^3+26*x^2+38*x+18", "y^2=28*x^6+61*x^5+57*x^4+15*x^3+46*x^2+31*x+38", "y^2=20*x^6+51*x^5+18*x^4+4*x^3+13*x^2+65*x+8", "y^2=42*x^6+5*x^5+69*x^4+29*x^3+59*x^2+39*x+6", "y^2=63*x^6+28*x^5+19*x^4+44*x^3+22*x^2+63*x+59", "y^2=58*x^6+62*x^5+15*x^4+51*x^3+6*x^2+61*x+21", "y^2=x^6+52*x^5+39*x^4+30*x^3+9*x^2+47*x+34"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": ["4T3"], "geometric_number_fields": ["4.0.4520192.2"], "geometric_splitting_field": "4.0.4520192.2", "geometric_splitting_polynomials": [[4481, -8, 132, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 34, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 34, "label": "2.71.ai_ga", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.4520192.2"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 34]], "poly": [1, -8, 156, -568, 5041], "poly_str": "1 -8 156 -568 5041 ", "primitive_models": [], "principal_polarization_count": 34, "q": 71, "real_poly": [1, -8, 14], "simple_distinct": ["2.71.ai_ga"], "simple_factors": ["2.71.ai_gaA"], "simple_multiplicities": [1], "singular_primes": [], "size": 34, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.4520192.2", "splitting_polynomials": [[4481, -8, 132, 0, 1]], "twist_count": 2, "twists": [["2.71.i_ga", "2.5041.jo_blmg", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 34, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 70628, "zfv_singular_count": 0, "zfv_singular_primes": []}