# Stored data for abelian variety isogeny class 2.73.as_is, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 4224, "abvar_counts": [4224, 29094912, 152281793664, 806814478761984, 4297500417250026624, 22901836537720222258176, 122044925209482141022941312, 650377900100962479299257958400, 3465863766047141520870846428366976, 18469587792778913475560591501233738752], "abvar_counts_str": "4224 29094912 152281793664 806814478761984 4297500417250026624 22901836537720222258176 122044925209482141022941312 650377900100962479299257958400 3465863766047141520870846428366976 18469587792778913475560591501233738752 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.301013746419758, 0.344915434243257], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 56, "curve_counts": [56, 5458, 391448, 28410718, 2073011096, 151332828658, 11047390478264, 806460117044926, 58871587464116984, 4297625834507075218], "curve_counts_str": "56 5458 391448 28410718 2073011096 151332828658 11047390478264 806460117044926 58871587464116984 4297625834507075218 ", "curves": ["y^2=39*x^6+59*x^5+45*x^4+46*x^3+45*x^2+59*x+39", "y^2=46*x^6+63*x^5+54*x^4+43*x^3+54*x^2+63*x+46", "y^2=29*x^6+6*x^5+6*x^4+65*x^3+6*x^2+6*x+29", "y^2=11*x^6+21*x^5+68*x^4+3*x^3+68*x^2+21*x+11", "y^2=29*x^6+47*x^5+37*x^4+31*x^3+18*x^2+30*x+42", "y^2=60*x^6+69*x^5+56*x^4+53*x^3+56*x^2+69*x+60", "y^2=35*x^6+41*x^5+35*x^4+60*x^3+9*x^2+16*x+32", "y^2=43*x^6+10*x^5+44*x^4+20*x^3+44*x^2+10*x+43", "y^2=41*x^6+48*x^5+70*x^4+45*x^3+71*x^2+70*x+50", "y^2=56*x^6+6*x^5+37*x^4+72*x^3+35*x^2+54*x+21", "y^2=36*x^6+27*x^5+5*x^4+62*x^3+42*x^2+48*x+12", "y^2=14*x^6+22*x^5+42*x^4+26*x^3+42*x^2+22*x+14", "y^2=24*x^6+14*x^5+63*x^4+33*x^3+15*x^2+68*x+65", "y^2=40*x^6+7*x^5+62*x^4+24*x^3+10*x^2+45*x+26", "y^2=23*x^6+66*x^5+29*x^4+57*x^3+56*x^2+14*x+32", "y^2=15*x^6+47*x^5+63*x^4+41*x^3+63*x^2+47*x+15", "y^2=60*x^6+36*x^5+47*x^4+22*x^3+47*x^2+36*x+60", "y^2=28*x^6+22*x^5+14*x^4+10*x^3+14*x^2+22*x+28", "y^2=38*x^6+62*x^5+2*x^4+34*x^3+2*x^2+62*x+38", "y^2=40*x^6+22*x^5+47*x^4+63*x^3+42*x^2+60*x+5", "y^2=36*x^6+x^5+15*x^4+44*x^3+68*x^2+65*x+23", "y^2=65*x^6+29*x^5+19*x^4+67*x^3+19*x^2+29*x+65", "y^2=42*x^6+8*x^5+18*x^4+62*x^3+18*x^2+8*x+42", "y^2=26*x^6+14*x^5+23*x^4+10*x^3+61*x^2+39*x+47", "y^2=41*x^6+10*x^5+64*x^4+30*x^3+18*x^2+40*x+37", "y^2=51*x^6+65*x^5+32*x^4+24*x^3+32*x^2+65*x+51", "y^2=67*x^6+72*x^5+13*x^4+71*x^3+13*x^2+72*x+67", "y^2=20*x^6+69*x^5+9*x^4+57*x^3+9*x^2+69*x+20", "y^2=60*x^6+59*x^5+22*x^4+56*x^3+21*x^2+34*x+60", "y^2=54*x^6+35*x^5+59*x^4+63*x^3+40*x^2+25*x+6", "y^2=45*x^6+25*x^5+29*x^4+12*x^3+43*x^2+35*x+33", "y^2=8*x^6+54*x^5+55*x^4+36*x^3+55*x^2+54*x+8"], "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": ["2.0.3.1", "2.0.228.1"], "geometric_splitting_field": "4.0.51984.3", "geometric_splitting_polynomials": [[361, 0, 19, 0, 1]], "group_structure_count": 7, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 32, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 32, "label": "2.73.as_is", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.3.1", "2.0.228.1"], "p": 73, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -18, 226, -1314, 5329], "poly_str": "1 -18 226 -1314 5329 ", "primitive_models": [], "q": 73, "real_poly": [1, -18, 80], "simple_distinct": ["1.73.ak", "1.73.ai"], "simple_factors": ["1.73.akA", "1.73.aiA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-5*F-3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.51984.3", "splitting_polynomials": [[361, 0, 19, 0, 1]], "twist_count": 12, "twists": [["2.73.ac_co", "2.5329.ey_vja", 2], ["2.73.c_co", "2.5329.ey_vja", 2], ["2.73.s_is", "2.5329.ey_vja", 2], ["2.73.ap_hu", "2.389017.dpm_eyfug", 3], ["2.73.j_k", "2.389017.dpm_eyfug", 3], ["2.73.az_kw", "2.151334226289.adbnnc_duarfbnby", 6], ["2.73.aj_k", "2.151334226289.adbnnc_duarfbnby", 6], ["2.73.ab_dm", "2.151334226289.adbnnc_duarfbnby", 6], ["2.73.b_dm", "2.151334226289.adbnnc_duarfbnby", 6], ["2.73.p_hu", "2.151334226289.adbnnc_duarfbnby", 6], ["2.73.z_kw", "2.151334226289.adbnnc_duarfbnby", 6]], "weak_equivalence_count": 11, "zfv_index": 32, "zfv_index_factorization": [[2, 5]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 43776, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-5*F-3"]}