# Stored data for abelian variety isogeny class 2.73.ah_ay, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 4788, "abvar_counts": [4788, 27885312, 150410557584, 806424595651584, 4297463870869889748, 22901854924751191474176, 122045027703258985978757076, 650377835271794272485149798400, 3465863686653762090165171775356816, 18469587780548589667554266878749226752], "abvar_counts_str": "4788 27885312 150410557584 806424595651584 4297463870869889748 22901854924751191474176 122045027703258985978757076 650377835271794272485149798400 3465863686653762090165171775356816 18469587780548589667554266878749226752 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0323195869135754, 0.698986253580242], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 67, "curve_counts": [67, 5233, 386638, 28396993, 2072993467, 151332950158, 11047399755907, 806460036657601, 58871586115531294, 4297625831661242593], "curve_counts_str": "67 5233 386638 28396993 2072993467 151332950158 11047399755907 806460036657601 58871586115531294 4297625831661242593 ", "curves": ["y^2=x^6+x^3+71", "y^2=x^6+x^3+6", "y^2=11*x^6+x^5+10*x^4+19*x^3+6*x^2+37*x+5", "y^2=9*x^6+19*x^5+29*x^4+70*x^3+17*x^2+66*x+6", "y^2=25*x^6+27*x^5+40*x^4+52*x^3+40*x^2+69*x+7", "y^2=42*x^6+46*x^5+x^4+6*x^3+66*x^2+12*x+43", "y^2=56*x^6+53*x^5+68*x^4+28*x^3+53*x^2+31*x+34", "y^2=64*x^5+16*x^4+67*x^3+19*x^2+18*x+28", "y^2=x^6+5*x^3+6", "y^2=65*x^6+6*x^5+5*x^3+16*x^2+x+68", "y^2=11*x^6+48*x^5+36*x^4+53*x^3+69*x^2+30*x+52", "y^2=33*x^6+15*x^5+41*x^4+32*x^3+71*x^2+31*x+72", "y^2=35*x^6+12*x^5+53*x^4+9*x^3+2*x^2+61*x+43", "y^2=57*x^6+38*x^5+29*x^4+50*x^3+13*x^2+18*x+7", "y^2=67*x^6+9*x^5+69*x^4+36*x^3+18*x^2+47*x+46", "y^2=52*x^6+34*x^5+50*x^4+29*x^3+6*x^2+22*x+32", "y^2=39*x^6+28*x^5+9*x^4+10*x^3+24*x^2+61*x", "y^2=x^6+x^3+57", "y^2=31*x^6+54*x^5+44*x^4+57*x^3+47*x+35", "y^2=40*x^6+33*x^5+7*x^4+9*x^3+50*x^2+49*x+3", "y^2=24*x^6+42*x^5+60*x^4+x^3+21*x^2+39*x+55", "y^2=6*x^6+11*x^5+31*x^4+62*x^3+66*x^2+3*x+14", "y^2=44*x^6+9*x^5+58*x^4+11*x^3+57*x^2+7*x+5", "y^2=32*x^6+43*x^5+43*x^4+66*x^3+62*x^2+60*x+4", "y^2=42*x^6+20*x^5+37*x^4+35*x^3+25*x^2+70*x+56", "y^2=38*x^6+38*x^5+54*x^4+55*x^3+59*x^2+69*x+34", "y^2=51*x^6+66*x^5+6*x^4+46*x^3+38*x^2+46*x+35", "y^2=58*x^6+28*x^5+66*x^4+31*x^3+69*x^2+25*x+22", "y^2=60*x^6+55*x^5+50*x^4+39*x^3+52*x^2+32*x+36", "y^2=54*x^6+72*x^5+22*x^4+70*x^3+43*x^2+18*x+35", "y^2=54*x^6+50*x^5+10*x^4+47*x^3+60*x^2+53*x+37", "y^2=15*x^6+68*x^5+23*x^4+19*x^3+37*x^2+43*x+40", "y^2=46*x^6+58*x^5+13*x^4+45*x^3+28*x^2+59*x+30"], "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": 28, "g": 2, "galois_groups": ["2T1", "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 33, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 33, "label": "2.73.ah_ay", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["2.0.3.1", "2.0.3.1"], "p": 73, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -7, -24, -511, 5329], "poly_str": "1 -7 -24 -511 5329 ", "primitive_models": [], "q": 73, "real_poly": [1, -7, -170], "simple_distinct": ["1.73.ar", "1.73.k"], "simple_factors": ["1.73.arA", "1.73.kA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,F+11", "2,-F+3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 24, "twists": [["2.73.abb_me", "2.5329.adt_gay", 2], ["2.73.h_ay", "2.5329.adt_gay", 2], ["2.73.bb_me", "2.5329.adt_gay", 2], ["2.73.abi_qt", "2.389017.adno_euvtu", 3], ["2.73.ak_bb", "2.389017.adno_euvtu", 3], ["2.73.o_hn", "2.389017.adno_euvtu", 3], ["2.73.r_ii", "2.389017.adno_euvtu", 3], ["2.73.u_jm", "2.389017.adno_euvtu", 3], ["2.73.ay_kf", "2.151334226289.acupua_dkjshechy", 6], ["2.73.au_jm", "2.151334226289.acupua_dkjshechy", 6], ["2.73.ar_ii", "2.151334226289.acupua_dkjshechy", 6], ["2.73.ao_hn", "2.151334226289.acupua_dkjshechy", 6], ["2.73.ad_cy", "2.151334226289.acupua_dkjshechy", 6], ["2.73.a_afn", "2.151334226289.acupua_dkjshechy", 6], ["2.73.a_bu", "2.151334226289.acupua_dkjshechy", 6], ["2.73.a_dt", "2.151334226289.acupua_dkjshechy", 6], ["2.73.d_cy", "2.151334226289.acupua_dkjshechy", 6], ["2.73.k_bb", "2.151334226289.acupua_dkjshechy", 6], ["2.73.y_kf", "2.151334226289.acupua_dkjshechy", 6], ["2.73.bi_qt", "2.151334226289.acupua_dkjshechy", 6], ["2.73.a_adt", "2.22902048046490258711521.abaahujfke_bhveshxzzlgrbjqeg", 12], ["2.73.a_abu", "2.22902048046490258711521.abaahujfke_bhveshxzzlgrbjqeg", 12], ["2.73.a_fn", "2.22902048046490258711521.abaahujfke_bhveshxzzlgrbjqeg", 12]], "weak_equivalence_count": 28, "zfv_index": 5832, "zfv_index_factorization": [[2, 3], [3, 6]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 576, "zfv_singular_count": 4, "zfv_singular_primes": ["3,F+11", "2,-F+3"]}