# Stored data for abelian variety isogeny class 2.59.n_gd, downloaded from the LMFDB on 14 December 2025.
{"abvar_count": 4421, "abvar_counts": [4421, 12648481, 41831904311, 146859552376445, 511173970144978096, 1779170651028841555801, 6193385246816919503596451, 21559182723384417587479329845, 75047494814364314735732178960281, 261240335177694702802848814376348416], "abvar_counts_str": "4421 12648481 41831904311 146859552376445 511173970144978096 1779170651028841555801 6193385246816919503596451 21559182723384417587479329845 75047494814364314735732178960281 261240335177694702802848814376348416 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.613932648544333, 0.665158734199583], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 73, "curve_counts": [73, 3631, 203677, 12119763, 715004328, 42179899051, 2488651096627, 146830473811443, 8662995617838883, 511116752661073206], "curve_counts_str": "73 3631 203677 12119763 715004328 42179899051 2488651096627 146830473811443 8662995617838883 511116752661073206 ", "curves": ["y^2=12*x^6+51*x^5+5*x^4+15*x^3+27*x^2+20*x+7", "y^2=x^6+22*x^5+16*x^4+58*x^3+43*x^2+28*x+8", "y^2=43*x^6+54*x^5+9*x^4+21*x^3+16*x^2+25*x+26", "y^2=29*x^6+42*x^5+13*x^4+10*x^3+30*x^2+22*x+49", "y^2=50*x^6+36*x^5+46*x^4+58*x^3+28*x^2+21*x+48", "y^2=20*x^6+52*x^5+29*x^4+33*x^3+29*x^2+5*x+11", "y^2=57*x^6+28*x^5+19*x^4+32*x^3+8*x^2+46*x+31", "y^2=57*x^6+52*x^5+19*x^4+7*x^3+47*x^2+18*x+25", "y^2=12*x^6+5*x^5+12*x^4+49*x^3+12*x^2+3*x+46", "y^2=23*x^6+19*x^5+26*x^4+7*x^3+13*x^2+42*x+48", "y^2=36*x^6+55*x^5+28*x^4+21*x^3+21*x^2+41*x+37", "y^2=18*x^6+14*x^5+55*x^4+8*x^3+16*x^2+10*x+25", "y^2=53*x^6+49*x^5+30*x^4+47*x^3+21*x^2+2*x+3", "y^2=25*x^6+14*x^5+54*x^4+20*x^3+20*x^2+47*x+57"], "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": ["4.0.921125.1"], "geometric_splitting_field": "4.0.921125.1", "geometric_splitting_polynomials": [[2341, -56, 96, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "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": 14, "label": "2.59.n_gd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.921125.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 2], [1, 11, 1, 7]], "poly": [1, 13, 159, 767, 3481], "poly_str": "1 13 159 767 3481 ", "primitive_models": [], "principal_polarization_count": 14, "q": 59, "real_poly": [1, 13, 41], "simple_distinct": ["2.59.n_gd"], "simple_factors": ["2.59.n_gdA"], "simple_multiplicities": [1], "singular_primes": [], "size": 14, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.921125.1", "splitting_polynomials": [[2341, -56, 96, -1, 1]], "twist_count": 2, "twists": [["2.59.an_gd", "2.3481.ft_sfd", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 14, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 36845, "zfv_singular_count": 0, "zfv_singular_primes": []}