# Stored data for abelian variety isogeny class 2.53.f_l, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 3091, "abvar_counts": [3091, 7885141, 22277050279, 62308392067141, 174865558347217936, 491258959469024165221, 1379942512801050747207439, 3876269827622736377856406725, 10888440155110270131417269084491, 30585627309285012118899690784343296], "abvar_counts_str": "3091 7885141 22277050279 62308392067141 174865558347217936 491258959469024165221 1379942512801050747207439 3876269827622736377856406725 10888440155110270131417269084491 30585627309285012118899690784343296 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.3261624468262, 0.831280423180857], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 59, "curve_counts": [59, 2807, 149633, 7896651, 418143094, 22164363623, 1174707948193, 62259702899443, 3299763711000779, 174887470470934022], "curve_counts_str": "59 2807 149633 7896651 418143094 22164363623 1174707948193 62259702899443 3299763711000779 174887470470934022 ", "curves": ["y^2=32*x^5+30*x^4+23*x^3+21*x^2+2*x+52", "y^2=49*x^6+33*x^5+29*x^4+14*x^2+49*x+37", "y^2=43*x^6+6*x^5+49*x^4+36*x^3+17*x^2+44*x+5", "y^2=4*x^6+33*x^5+18*x^4+9*x^3+37*x^2+28*x+25", "y^2=20*x^6+2*x^5+7*x^4+40*x^3+24*x^2+35*x+31", "y^2=37*x^6+6*x^5+35*x^4+46*x^3+18*x^2+38*x+17", "y^2=5*x^6+45*x^5+45*x^4+49*x^2+17*x+47", "y^2=34*x^6+21*x^5+9*x^4+25*x^3+30*x^2+51*x+30", "y^2=43*x^6+18*x^5+49*x^4+18*x^3+28*x^2+9*x+20", "y^2=39*x^6+46*x^5+43*x^4+37*x^3+20*x^2+12*x+30", "y^2=29*x^6+38*x^5+17*x^4+50*x^3+35*x^2+25*x+26", "y^2=36*x^6+38*x^5+30*x^4+37*x^3+39*x^2+6*x+39", "y^2=29*x^6+27*x^5+47*x^4+36*x^3+7*x^2+3*x+41", "y^2=49*x^6+38*x^5+42*x^4+32*x^3+37*x^2+7*x+35", "y^2=29*x^6+33*x^5+16*x^4+41*x^3+4*x^2+5*x+1", "y^2=49*x^6+33*x^5+14*x^4+22*x^3+46*x^2+48*x+4", "y^2=19*x^6+51*x^5+45*x^4+10*x^3+36*x^2+49*x+41", "y^2=12*x^6+40*x^5+2*x^4+46*x^3+4*x^2+12*x+47", "y^2=50*x^6+52*x^5+12*x^4+48*x^3+27*x^2+33*x", "y^2=40*x^6+42*x^4+40*x^3+27*x^2+37*x+45", "y^2=x^6+33*x^5+27*x^4+10*x^3+38*x^2+39*x+30", "y^2=18*x^6+14*x^4+20*x^3+30*x^2+30*x+45", "y^2=9*x^6+25*x^5+34*x^4+25*x^3+24*x^2+43*x+42", "y^2=8*x^6+34*x^5+2*x^4+23*x^3+26*x^2+41*x+15", "y^2=30*x^6+44*x^5+40*x^4+43*x^3+33*x^2+14*x+29", "y^2=29*x^6+29*x^5+36*x^4+47*x^3+35*x^2+27*x+31", "y^2=22*x^6+9*x^5+18*x^4+49*x^3+11*x^2+21*x+27", "y^2=39*x^6+43*x^5+40*x^4+41*x^3+28*x^2+4*x+32", "y^2=5*x^6+11*x^5+42*x^4+8*x^3+12*x+27", "y^2=5*x^6+10*x^5+17*x^4+x^3+19*x^2+44*x+29", "y^2=21*x^6+39*x^5+13*x^4+48*x^3+7*x^2+4*x+41", "y^2=10*x^6+40*x^5+21*x^4+52*x^3+19*x^2+16*x+35", "y^2=17*x^6+41*x^5+26*x^4+22*x^3+44*x^2+46*x+35", "y^2=18*x^6+48*x^5+47*x^4+48*x^3+3*x^2+5*x+33", "y^2=48*x^6+16*x^5+47*x^4+50*x^3+15*x^2+22*x+25", "y^2=44*x^6+40*x^5+31*x^4+37*x^3+x^2+30*x+10", "y^2=41*x^6+13*x^5+41*x^4+39*x^3+28*x^2+44*x+41", "y^2=49*x^6+6*x^5+15*x^4+x^3+23*x^2+46*x+8", "y^2=23*x^6+28*x^5+33*x^4+2*x^3+21*x^2+24*x+43", "y^2=45*x^6+38*x^5+52*x^4+44*x^3+2*x^2+17*x+8", "y^2=39*x^6+2*x^5+22*x^4+21*x^3+31*x^2+9*x+52", "y^2=19*x^6+47*x^5+22*x^4+12*x^3+10*x^2+21*x+12", "y^2=29*x^6+29*x^5+27*x^4+40*x^3+12*x^2+34*x+22", "y^2=2*x^6+51*x^5+12*x^4+20*x^3+11*x^2+52*x+27", "y^2=5*x^6+18*x^5+48*x^4+24*x^3+6*x^2+14*x+48", "y^2=40*x^6+17*x^5+49*x^3+7*x^2+16*x+50", "y^2=49*x^6+21*x^5+35*x^4+34*x^3+12*x^2+19*x+43", "y^2=17*x^6+3*x^5+24*x^4+33*x^3+x^2+34*x+47", "y^2=29*x^6+10*x^5+26*x^4+24*x^3+12*x^2+43*x+4", "y^2=36*x^6+16*x^5+26*x^4+18*x^3+34*x^2+47*x+42", "y^2=24*x^6+37*x^5+38*x^4+34*x^3+17*x^2+18*x+12", "y^2=17*x^6+28*x^5+45*x^4+21*x^3+x^2+28*x+49", "y^2=3*x^6+14*x^5+19*x^4+45*x^3+45*x^2+27*x+48", "y^2=37*x^6+8*x^5+45*x^4+49*x^3+43*x^2+34", "y^2=51*x^6+20*x^5+6*x^4+39*x^3+5*x^2+34*x+7", "y^2=4*x^6+9*x^5+13*x^4+16*x^3+17*x^2+4*x+2", "y^2=44*x^6+x^5+28*x^4+21*x^3+35*x^2+48*x+27", "y^2=14*x^6+12*x^5+45*x^4+3*x^3+22*x^2+34*x+13", "y^2=6*x^6+35*x^5+2*x^4+14*x^3+14*x^2+10*x+30", "y^2=13*x^6+36*x^5+7*x^4+46*x^3+x^2+42*x+24", "y^2=38*x^6+2*x^5+46*x^4+40*x^3+11*x^2+52*x+45", "y^2=42*x^6+15*x^5+10*x^4+10*x^3+49*x^2+39*x+32", "y^2=41*x^6+51*x^4+22*x^3+10*x^2+x+37"], "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": 3, "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": ["4.0.209725.1"], "geometric_splitting_field": "4.0.209725.1", "geometric_splitting_polynomials": [[549, -48, 50, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 63, "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": 63, "label": "2.53.f_l", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.209725.1"], "p": 53, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 5, 11, 265, 2809], "poly_str": "1 5 11 265 2809 ", "primitive_models": [], "q": 53, "real_poly": [1, 5, -95], "simple_distinct": ["2.53.f_l"], "simple_factors": ["2.53.f_lA"], "simple_multiplicities": [1], "singular_primes": ["3,-5*F^2+5*V+28"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.209725.1", "splitting_polynomials": [[549, -48, 50, -1, 1]], "twist_count": 2, "twists": [["2.53.af_l", "2.2809.ad_eov", 2]], "weak_equivalence_count": 3, "zfv_index": 81, "zfv_index_factorization": [[3, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 9, "zfv_plus_index_factorization": [[3, 2]], "zfv_plus_norm": 8389, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-5*F^2+5*V+28"]}