# Stored data for abelian variety isogeny class 2.59.ay_jt, downloaded from the LMFDB on 11 September 2025.
{"abvar_count": 2295, "abvar_counts": [2295, 11876625, 42209897040, 146843838545625, 511098549913977975, 1779178716355027104000, 6193378413722304475846335, 21559176974606113830896195625, 75047498139368285830810397267280, 261240336651027819035100888257540625], "abvar_counts_str": "2295 11876625 42209897040 146843838545625 511098549913977975 1779178716355027104000 6193378413722304475846335 21559176974606113830896195625 75047498139368285830810397267280 261240336651027819035100888257540625 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0692665268585578, 0.300760731311381], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 36, "curve_counts": [36, 3412, 205524, 12118468, 714898836, 42180090262, 2488648350924, 146830434658948, 8662996001655756, 511116755543649652], "curve_counts_str": "36 3412 205524 12118468 714898836 42180090262 2488648350924 146830434658948 8662996001655756 511116755543649652 ", "curves": ["y^2=25*x^6+35*x^5+11*x^4+29*x^3+33*x^2+20*x+26", "y^2=34*x^6+24*x^5+38*x^4+38*x^3+19*x^2+20*x+18", "y^2=58*x^6+53*x^5+43*x^4+49*x^3+30*x^2+25*x+18", "y^2=50*x^6+10*x^5+40*x^4+25*x^3+7*x^2+30*x+29", "y^2=52*x^6+55*x^5+16*x^4+21*x^3+34*x^2+34*x+42", "y^2=23*x^6+33*x^5+48*x^4+16*x^3+9*x^2+6", "y^2=32*x^6+14*x^5+x^4+41*x^3+7*x^2+35*x+24", "y^2=52*x^6+22*x^5+57*x^4+14*x^3+12*x^2+25*x+37", "y^2=58*x^6+20*x^5+44*x^4+33*x^3+11*x^2+54*x+58", "y^2=40*x^6+6*x^5+22*x^4+45*x^3+19*x^2+33*x+13", "y^2=42*x^6+49*x^5+43*x^4+57*x^3+23*x^2+x+23", "y^2=17*x^6+7*x^5+35*x^4+54*x^3+26*x^2+9*x+7", "y^2=41*x^6+12*x^5+5*x^4+43*x^3+51*x^2+7*x+36", "y^2=27*x^6+13*x^5+46*x^4+32*x^3+46*x^2+13*x+27", "y^2=17*x^6+39*x^5+36*x^4+18*x^3+12*x^2+24*x+5", "y^2=56*x^6+51*x^5+27*x^4+45*x^3+11*x^2+23*x+3", "y^2=6*x^6+53*x^5+17*x^4+54*x^3+7*x^2+49*x+18", "y^2=10*x^6+31*x^5+50*x^4+52*x^3+37*x^2+44*x+54", "y^2=18*x^6+19*x^5+21*x^4+5*x^3+10*x^2+45*x+43", "y^2=58*x^6+16*x^5+41*x^4+16*x^3+41*x^2+16*x+58", "y^2=17*x^6+x^5+43*x^4+23*x^3+33*x^2+22*x+3", "y^2=2*x^6+29*x^5+11*x^4+10*x^3+8*x^2+46*x+52", "y^2=6*x^6+21*x^5+52*x^4+35*x^3+37*x^2+20*x+42", "y^2=x^6+35*x^5+13*x^4+4*x^3+14*x^2+50*x+14", "y^2=38*x^6+33*x^5+6*x^4+41*x^3+14*x^2+42*x+2", "y^2=39*x^6+46*x^5+x^4+30*x^3+49*x^2+57*x+58", "y^2=44*x^6+18*x^5+x^4+3*x^3+37*x^2+38*x+33", "y^2=23*x^6+41*x^5+2*x^4+20*x^3+19*x^2+56*x+58"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.11.1", "2.0.155.1"], "geometric_splitting_field": "4.0.2907025.3", "geometric_splitting_polynomials": [[1296, 0, 83, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 28, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 28, "label": "2.59.ay_jt", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.11.1", "2.0.155.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -24, 253, -1416, 3481], "poly_str": "1 -24 253 -1416 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -24, 135], "simple_distinct": ["1.59.ap", "1.59.aj"], "simple_factors": ["1.59.apA", "1.59.ajA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,-13*F+8", "3,-5*V+52", "2,F-V+9"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2907025.3", "splitting_polynomials": [[1296, 0, 83, 0, 1]], "twist_count": 4, "twists": [["2.59.ag_ar", "2.3481.acs_eln", 2], ["2.59.g_ar", "2.3481.acs_eln", 2], ["2.59.y_jt", "2.3481.acs_eln", 2]], "weak_equivalence_count": 8, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1705, "zfv_singular_count": 6, "zfv_singular_primes": ["3,-13*F+8", "3,-5*V+52", "2,F-V+9"]}