# Stored data for abelian variety isogeny class 2.53.ak_fb, downloaded from the LMFDB on 13 September 2025.
{"abvar_count": 2401, "abvar_counts": [2401, 8357881, 22364604304, 62244825632521, 174853828992462361, 491252204214845280256, 1379949495324581282057089, 3876270904425745277604455625, 10888439771815719630891622548496, 30585627017443251974498323536334921], "abvar_counts_str": "2401 8357881 22364604304 62244825632521 174853828992462361 491252204214845280256 1379949495324581282057089 3876270904425745277604455625 10888439771815719630891622548496 30585627017443251974498323536334921 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.388420875602652, 0.388420875602652], "center_dim": 2, "curve_count": 44, "curve_counts": [44, 2972, 150218, 7888596, 418115044, 22164058838, 1174713892228, 62259720194788, 3299763594842594, 174887468802193772], "curve_counts_str": "44 2972 150218 7888596 418115044 22164058838 1174713892228 62259720194788 3299763594842594 174887468802193772 ", "curves": ["y^2=23*x^6+45*x^5+38*x^4+47*x^3+27*x^2+35*x+18", "y^2=42*x^6+9*x^5+47*x^4+36*x^3+15*x^2+43*x+46", "y^2=11*x^6+37*x^5+33*x^4+34*x^3+35*x^2+49*x+50", "y^2=34*x^6+50*x^5+25*x^4+44*x^3+30*x^2+24*x+13", "y^2=25*x^6+33*x^5+13*x^4+24*x^3+52*x^2+8*x+45", "y^2=18*x^6+38*x^5+11*x^4+14*x^3+30*x^2+32*x+48", "y^2=17*x^6+36*x^5+4*x^4+30*x^3+12*x^2+34*x+8", "y^2=17*x^6+32*x^5+49*x^4+19*x^3+50*x+50", "y^2=8*x^6+38*x^5+47*x^4+40*x^3+37*x^2+17*x+30", "y^2=48*x^6+8*x^5+37*x^4+28*x^3+45*x^2+40*x+7", "y^2=52*x^6+45*x^5+x^4+18*x^3+5*x^2+10*x+31", "y^2=12*x^6+39*x^5+36*x^4+31*x^3+4*x^2+26*x+48", "y^2=36*x^6+48*x^5+50*x^4+47*x^3+21*x^2+24*x+47", "y^2=25*x^6+28*x^5+10*x^4+28*x^3+49*x^2+49*x+9", "y^2=38*x^6+45*x^5+24*x^4+x^3+39*x^2+10*x+11", "y^2=48*x^6+6*x^5+35*x^4+10*x^3+18*x^2+6*x+5", "y^2=18*x^6+37*x^5+46*x^4+24*x^3+27*x^2+32*x+32"], "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_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 17, "label": "2.53.ak_fb", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.187.1"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -10, 131, -530, 2809], "poly_str": "1 -10 131 -530 2809 ", "primitive_models": [], "q": 53, "real_poly": [1, -10, 25], "simple_distinct": ["1.53.af"], "simple_factors": ["1.53.afA", "1.53.afB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.187.1", "splitting_polynomials": [[47, -1, 1]], "twist_count": 6, "twists": [["2.53.a_dd", "2.2809.gg_sal", 2], ["2.53.k_fb", "2.2809.gg_sal", 2], ["2.53.f_abc", "2.148877.bzo_bqmnm", 3], ["2.53.a_add", "2.7890481.acuo_bkmmbz", 4], ["2.53.af_abc", "2.22164361129.arfeq_ijlskxgo", 6]]}