# Stored data for abelian variety isogeny class 2.59.ax_jh, downloaded from the LMFDB on 31 May 2026.
{"abvar_count": 2343, "abvar_counts": [2343, 11956329, 42260801121, 146867205288573, 511110900884744688, 1779187924141346230281, 6193385095758188304817797, 21559180674277286202246528213, 75047499525722211829622210251707, 261240336885370648678898773755135744], "abvar_counts_str": "2343 11956329 42260801121 146867205288573 511110900884744688 1779187924141346230281 6193385095758188304817797 21559180674277286202246528213 75047499525722211829622210251707 261240336885370648678898773755135744 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.104529320572787, 0.314395470244323], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 37, "curve_counts": [37, 3435, 205771, 12120395, 714916112, 42180308559, 2488651035929, 146830459855843, 8662996161687451, 511116756002141430], "curve_counts_str": "37 3435 205771 12120395 714916112 42180308559 2488651035929 146830459855843 8662996161687451 511116756002141430 ", "curves": ["y^2=31*x^6+52*x^5+31*x^4+39*x^3+25*x^2+41*x+19", "y^2=37*x^6+20*x^5+46*x^4+4*x^3+7*x^2+11*x+25", "y^2=7*x^6+52*x^5+23*x^4+7*x^3+20*x^2+28*x+39", "y^2=50*x^6+15*x^5+30*x^4+3*x^3+38*x^2+40*x+32", "y^2=23*x^6+27*x^5+19*x^4+17*x^3+45*x^2+40*x+3", "y^2=38*x^6+50*x^5+10*x^4+26*x^3+12*x^2+11*x+24", "y^2=57*x^6+18*x^5+37*x^4+52*x^3+29*x^2+37*x+17", "y^2=11*x^6+3*x^5+38*x^4+22*x^3+42*x^2+9*x+33", "y^2=18*x^6+6*x^5+41*x^4+17*x^3+21*x^2+57*x+57", "y^2=44*x^6+44*x^5+10*x^4+9*x^3+46*x^2+14*x+6", "y^2=18*x^6+50*x^5+33*x^4+31*x^3+20*x^2+12*x+50", "y^2=30*x^6+10*x^5+5*x^4+2*x^3+4*x^2+32*x+44", "y^2=48*x^6+22*x^5+48*x^4+44*x^3+51*x^2+23*x+31", "y^2=55*x^6+35*x^5+17*x^4+57*x^3+55*x^2+44*x+23", "y^2=7*x^6+10*x^5+9*x^4+51*x^3+5*x^2+51*x+55", "y^2=38*x^6+7*x^5+40*x^4+38*x^3+48*x^2+48*x+58", "y^2=4*x^6+2*x^5+39*x^4+34*x^3+45*x^2+6*x+27", "y^2=58*x^6+x^5+21*x^4+48*x^3+20*x^2+50*x+29"], "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": ["4.0.5526653.1"], "geometric_splitting_field": "4.0.5526653.1", "geometric_splitting_polynomials": [[343, 85, 43, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 18, "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": 18, "label": "2.59.ax_jh", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.5526653.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -23, 241, -1357, 3481], "poly_str": "1 -23 241 -1357 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -23, 123], "simple_distinct": ["2.59.ax_jh"], "simple_factors": ["2.59.ax_jhA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.5526653.1", "splitting_polynomials": [[343, 85, 43, -1, 1]], "twist_count": 2, "twists": [["2.59.x_jh", "2.3481.abv_dwv", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4037, "zfv_singular_count": 0, "zfv_singular_primes": []}