# Stored data for abelian variety isogeny class 2.59.ao_gl, downloaded from the LMFDB on 15 March 2026.
{"abvar_count": 2809, "abvar_counts": [2809, 12609601, 42549788176, 146883807310969, 511063198294506649, 1779164344046286029056, 6193383552812345316442129, 21559183101255707483730697449, 75047499452054320467673436616976, 261240335532006814039769521262848801], "abvar_counts_str": "2809 12609601 42549788176 146883807310969 511063198294506649 1779164344046286029056 6193383552812345316442129 21559183101255707483730697449 75047499452054320467673436616976 261240335532006814039769521262848801 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.349402864844186, 0.349402864844186], "center_dim": 2, "curve_count": 46, "curve_counts": [46, 3620, 207172, 12121764, 714849386, 42179749526, 2488650415934, 146830476384964, 8662996153183708, 511116753354284900], "curve_counts_str": "46 3620 207172 12121764 714849386 42179749526 2488650415934 146830476384964 8662996153183708 511116753354284900 ", "curves": ["y^2=31*x^6+16*x^5+40*x^4+55*x^3+x^2+43*x+26", "y^2=44*x^6+26*x^5+22*x^4+13*x^3+22*x^2+26*x+44", "y^2=x^6+29*x^5+45*x^4+34*x^3+32*x^2+25*x+14", "y^2=37*x^6+58*x^5+33*x^4+27*x^3+44*x^2+35*x+20", "y^2=40*x^6+x^5+43*x^4+41*x^3+27*x^2+10*x+27", "y^2=38*x^6+35*x^5+20*x^4+44*x^3+20*x^2+35*x+38", "y^2=10*x^6+37*x^5+51*x^4+14*x^3+58*x^2+54", "y^2=23*x^6+38*x^5+50*x^4+53*x^3+51*x^2+36*x+31", "y^2=30*x^6+5*x^5+47*x^4+48*x^3+x^2+17*x+15", "y^2=37*x^6+44*x^5+25*x^3+44*x+37", "y^2=54*x^6+29*x^5+33*x^4+12*x^3+26*x^2+27*x+9", "y^2=16*x^6+12*x^5+20*x^4+19*x^3+10*x^2+38*x+42", "y^2=20*x^6+50*x^5+33*x^4+5*x^3+33*x^2+50*x+20", "y^2=53*x^6+6*x^5+18*x^4+43*x^3+26*x^2+48*x+43", "y^2=2*x^6+35*x^5+57*x^4+18*x^3+57*x^2+35*x+2", "y^2=34*x^6+5*x^5+x^4+52*x^3+30*x^2+36*x+53", "y^2=33*x^6+52*x^5+17*x^4+33*x^3+24*x^2+50*x+51"], "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": ["2.0.187.1"], "geometric_splitting_field": "2.0.187.1", "geometric_splitting_polynomials": [[47, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 17, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 17, "label": "2.59.ao_gl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [53], "number_fields": ["2.0.187.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -14, 167, -826, 3481], "poly_str": "1 -14 167 -826 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -14, 49], "simple_distinct": ["1.59.ah"], "simple_factors": ["1.59.ahA", "1.59.ahB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.187.1", "splitting_polynomials": [[47, -1, 1]], "twist_count": 6, "twists": [["2.59.a_cr", "2.3481.fi_rix", 2], ["2.59.o_gl", "2.3481.fi_rix", 2], ["2.59.h_ak", "2.205379.cqy_crbfy", 3], ["2.59.a_acr", "2.12117361.gni_clqmlv", 4], ["2.59.ah_ak", "2.42180533641.abspyi_bdqrhmcyo", 6]]}