# Stored data for abelian variety isogeny class 2.53.u_hy, downloaded from the LMFDB on 09 December 2025.
{"abvar_count": 4096, "abvar_counts": [4096, 7929856, 21989330944, 62347826692096, 174866938405851136, 491256672529738694656, 1379950501853689934024704, 3876267135289475161128960000, 10888440145435151425079370059776, 30585627372586581661350320744759296], "abvar_counts_str": "4096 7929856 21989330944 62347826692096 174866938405851136 491256672529738694656 1379950501853689934024704 3876267135289475161128960000 10888440145435151425079370059776 30585627372586581661350320744759296 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.740986412022932, 0.740986412022932], "center_dim": 2, "curve_count": 74, "curve_counts": [74, 2822, 147698, 7901646, 418146394, 22164260438, 1174714749058, 62259659655838, 3299763708068714, 174887470832890022], "curve_counts_str": "74 2822 147698 7901646 418146394 22164260438 1174714749058 62259659655838 3299763708068714 174887470832890022 ", "curves": ["y^2=x^6+17*x^5+20*x^4+28*x^3+44*x^2+42*x+13", "y^2=x^6+11*x^5+43*x^4+4*x^3+43*x^2+11*x+1", "y^2=28*x^6+26*x^5+x^4+40*x^3+x^2+26*x+28", "y^2=13*x^6+48*x^5+46*x^4+52*x^3+18*x^2+40*x+11", "y^2=6*x^6+39*x^4+39*x^2+6", "y^2=12*x^6+46*x^5+13*x^4+21*x^3+29*x^2+42*x+31", "y^2=24*x^6+17*x^5+37*x^3+18*x^2+33*x+17", "y^2=25*x^6+42*x^5+31*x^4+6*x^3+31*x^2+42*x+25", "y^2=48*x^6+39*x^5+39*x^4+46*x^3+20*x^2+15*x+47", "y^2=39*x^6+19*x^5+29*x^4+39*x^3+29*x^2+33*x+34", "y^2=42*x^6+10*x^4+10*x^2+42", "y^2=9*x^6+x^5+20*x^4+7*x^3+20*x^2+x+9", "y^2=47*x^6+17*x^5+16*x^4+39*x^3+46*x^2+37*x+10", "y^2=39*x^6+33*x^4+33*x^2+39", "y^2=44*x^6+46*x^5+51*x^4+47*x^3+51*x^2+46*x+44", "y^2=46*x^6+43*x^5+40*x^4+31*x^3+40*x^2+43*x+46", "y^2=22*x^6+17*x^5+42*x^4+7*x^3+42*x^2+17*x+22", "y^2=26*x^6+38*x^5+24*x^4+39*x^3+24*x^2+38*x+26", "y^2=29*x^6+22*x^4+22*x^2+29", "y^2=14*x^6+41*x^4+9*x^3+26*x^2+9*x+7"], "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": ["2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 20, "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": 20, "label": "2.53.u_hy", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.7.1"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 20, 206, 1060, 2809], "poly_str": "1 20 206 1060 2809 ", "primitive_models": [], "q": 53, "real_poly": [1, 20, 100], "simple_distinct": ["1.53.k"], "simple_factors": ["1.53.kA", "1.53.kB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.7.1", "splitting_polynomials": [[2, -1, 1]], "twist_count": 6, "twists": [["2.53.au_hy", "2.2809.m_ijm", 2], ["2.53.a_g", "2.2809.m_ijm", 2], ["2.53.ak_bv", "2.148877.abtk_bktko", 3], ["2.53.a_ag", "2.7890481.qnk_dysrko", 4], ["2.53.k_bv", "2.22164361129.afsyu_fvshfmhy", 6]]}