# Stored data for abelian variety isogeny class 2.59.ax_je, downloaded from the LMFDB on 31 May 2026.
{"abvar_count": 2340, "abvar_counts": [2340, 11934000, 42218083440, 146825099928000, 511084016722550700, 1779175733355300384000, 6193380826193533329293820, 21559179164073090732627552000, 75047498738373215696497492506480, 261240336426520447708864506418350000], "abvar_counts_str": "2340 11934000 42218083440 146825099928000 511084016722550700 1779175733355300384000 6193380826193533329293820 21559179164073090732627552000 75047498738373215696497492506480 261240336426520447708864506418350000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0692665268585578, 0.325650265238338], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 37, "curve_counts": [37, 3429, 205564, 12116921, 714878507, 42180019542, 2488649320313, 146830449570481, 8662996070800996, 511116755104400949], "curve_counts_str": "37 3429 205564 12116921 714878507 42180019542 2488649320313 146830449570481 8662996070800996 511116755104400949 ", "curves": ["y^2=58*x^6+55*x^5+47*x^4+23*x^3+14*x^2+40*x+18", "y^2=58*x^6+50*x^5+56*x^4+11*x^3+39*x^2+18*x+58", "y^2=40*x^6+10*x^5+8*x^3+5*x^2+5*x+48", "y^2=50*x^6+21*x^5+13*x^4+40*x^3+12*x^2+18*x+47", "y^2=43*x^6+41*x^5+32*x^4+35*x^3+58*x^2+26*x+38", "y^2=43*x^6+55*x^5+57*x^4+27*x^3+53*x^2+11*x+1", "y^2=33*x^6+21*x^5+21*x^4+4*x^3+28*x^2+26*x+9", "y^2=18*x^6+47*x^5+23*x^4+47*x^3+10*x^2+43*x+45", "y^2=50*x^6+32*x^5+51*x^4+11*x^3+33*x^2+11*x+28", "y^2=44*x^6+27*x^5+44*x^4+44*x^3+29*x^2+6*x+14", "y^2=55*x^6+33*x^5+10*x^4+16*x^3+10*x^2+36*x+38", "y^2=29*x^6+46*x^5+26*x^4+33*x^3+56*x^2+29*x+5", "y^2=10*x^6+5*x^5+56*x^4+2*x^3+57*x^2+2*x+46", "y^2=52*x^6+39*x^5+50*x^4+38*x^3+23*x^2+29*x+58", "y^2=7*x^6+43*x^5+x^4+2*x^3+30*x^2+37*x+27", "y^2=34*x^6+34*x^5+28*x^4+56*x^2+6*x+8"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 4, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.11.1", "2.0.43.1"], "geometric_splitting_field": "4.0.223729.1", "geometric_splitting_polynomials": [[64, 0, 27, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 16, "label": "2.59.ax_je", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.11.1", "2.0.43.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 24], [2, 11, 1, 12]], "poly": [1, -23, 238, -1357, 3481], "poly_str": "1 -23 238 -1357 3481 ", "primitive_models": [], "principal_polarization_count": 20, "q": 59, "real_poly": [1, -23, 120], "simple_distinct": ["1.59.ap", "1.59.ai"], "simple_factors": ["1.59.apA", "1.59.aiA"], "simple_multiplicities": [1, 1], "singular_primes": ["7,2*F^2-24*F+6*V", "2,3*V-43"], "size": 100, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.223729.1", "splitting_polynomials": [[64, 0, 27, 0, 1]], "twist_count": 4, "twists": [["2.59.ah_ac", "2.3481.acb_bto", 2], ["2.59.h_ac", "2.3481.acb_bto", 2], ["2.59.x_je", "2.3481.acb_bto", 2]], "weak_equivalence_count": 4, "zfv_index": 98, "zfv_index_factorization": [[2, 1], [7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 72, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1892, "zfv_singular_count": 4, "zfv_singular_primes": ["7,2*F^2-24*F+6*V", "2,3*V-43"]}