# Stored data for abelian variety isogeny class 2.73.a_afm, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 5188, "abvar_counts": [5188, 26915344, 151333633156, 805920331677696, 4297625828097776068, 22901868524194782520336, 122045014039748168076254212, 650377825676026943743868534784, 3465863721549107264698645668344644, 18469587758333095494403728767473540624], "abvar_counts_str": "5188 26915344 151333633156 805920331677696 4297625828097776068 22901868524194782520336 122045014039748168076254212 650377825676026943743868534784 3465863721549107264698645668344644 18469587758333095494403728767473540624 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0373409407742748, 0.962659059225725], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 74, "curve_counts": [74, 5046, 389018, 28379230, 2073071594, 151333040022, 11047398519098, 806460024758974, 58871586708267914, 4297625826491994486], "curve_counts_str": "74 5046 389018 28379230 2073071594 151333040022 11047398519098 806460024758974 58871586708267914 4297625826491994486 ", "curves": ["y^2=46*x^6+27*x^5+18*x^4+38*x^2+50*x+65", "y^2=28*x^6+12*x^5+13*x^4+59*x^2+12*x+47", "y^2=21*x^6+3*x^5+9*x^4+8*x^3+20*x^2+4*x+46", "y^2=46*x^6+37*x^5+3*x^4+70*x^2+36*x+27", "y^2=37*x^6+35*x^5+15*x^4+21*x^2+19*x+4", "y^2=24*x^6+61*x^5+20*x^4+28*x^3+4*x^2+55*x+51", "y^2=7*x^6+56*x^5+60*x^4+28*x^3+48*x^2+30*x+3", "y^2=66*x^6+60*x^5+63*x^4+21*x^2+42*x+43", "y^2=28*x^6+19*x^5+61*x^4+28*x^3+14*x^2+36*x+38", "y^2=22*x^6+71*x^5+28*x^4+51*x^2+72*x+66", "y^2=62*x^6+7*x^5+64*x^4+37*x^3+43*x^2+21*x+36", "y^2=23*x^6+38*x^5+10*x^4+40*x^2+49*x+12", "y^2=x^5+48*x", "y^2=17*x^6+49*x^5+25*x^4+67*x^3+33*x^2+32*x+46"], "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": 12, "g": 2, "galois_groups": ["4T2"], "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.73.a_afm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.256.1"], "p": 73, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -142, 0, 5329], "poly_str": "1 0 -142 0 5329 ", "primitive_models": [], "q": 73, "real_poly": [1, 0, -288], "simple_distinct": ["2.73.a_afm"], "simple_factors": ["2.73.a_afmA"], "simple_multiplicities": [1], "singular_primes": ["2,2*F-V+3", "3,5*F^2+87*F-45*V-4"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.256.1", "splitting_polynomials": [[1, 0, 0, 0, 1]], "twist_count": 8, "twists": [["2.73.ae_fu", "2.28398241.abcdg_mkavby", 4], ["2.73.a_fm", "2.28398241.abcdg_mkavby", 4], ["2.73.e_fu", "2.28398241.abcdg_mkavby", 4], ["2.73.ay_lc", "2.806460091894081.afqxsho_tkpmhfdoddm", 8], ["2.73.y_lc", "2.806460091894081.afqxsho_tkpmhfdoddm", 8], ["2.73.ac_acr", "2.22902048046490258711521.amgdrtwrk_bctmaqnbzqwnbawyo", 12], ["2.73.c_acr", "2.22902048046490258711521.amgdrtwrk_bctmaqnbzqwnbawyo", 12]], "weak_equivalence_count": 12, "zfv_index": 288, "zfv_index_factorization": [[2, 5], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 12, "zfv_plus_index_factorization": [[2, 2], [3, 1]], "zfv_plus_norm": 16, "zfv_singular_count": 4, "zfv_singular_primes": ["2,2*F-V+3", "3,5*F^2+87*F-45*V-4"]}