# Stored data for abelian variety isogeny class 2.127.abm_xo, downloaded from the LMFDB on 22 May 2024.
{"abvar_count": 11878, "abvar_counts": [11878, 256636068, 4196731788574, 67683468900310224, 1091550310992340263118, 17605371015972191716301700, 283956701456312746618489227382, 4579937337719215692328322919404544, 73869809182894156267534863078076327126, 1191446152395338328193868821204684765721028], "abvar_counts_str": "11878 256636068 4196731788574 67683468900310224 1091550310992340263118 17605371015972191716301700 283956701456312746618489227382 4579937337719215692328322919404544 73869809182894156267534863078076327126 1191446152395338328193868821204684765721028 ", "angle_rank": 2, "angles": [0.12832155690883, 0.222174226426394], "center_dim": 4, "curve_count": 90, "curve_counts": [90, 15910, 2048802, 260176294, 33038867550, 4195878038710, 532875896025990, 67675234361335294, 8594754747928792314, 1091533853064314262550], "curve_counts_str": "90 15910 2048802 260176294 33038867550 4195878038710 532875896025990 67675234361335294 8594754747928792314 1091533853064314262550 ", "curves": ["y^2=125*x^6+124*x^5+8*x^4+39*x^3+60*x^2+35*x+106", "y^2=109*x^6+23*x^5+105*x^4+117*x^3+72*x^2+67*x+69", "y^2=6*x^6+71*x^5+65*x^4+57*x^3+93*x^2+49*x+59", "y^2=53*x^6+95*x^5+17*x^4+7*x^3+66*x^2+47*x+125", "y^2=58*x^6+120*x^5+12*x^4+12*x^3+70*x^2+17*x+99", "y^2=93*x^6+31*x^5+50*x^4+30*x^3+18*x^2+108*x+63", "y^2=9*x^6+85*x^5+20*x^4+62*x^3+84*x^2+103*x+115", "y^2=11*x^6+35*x^5+72*x^4+60*x^3+92*x^2+x+69", "y^2=4*x^6+117*x^5+115*x^4+119*x^3+83*x^2+2*x+51", "y^2=125*x^6+60*x^5+41*x^4+89*x^3+12*x^2+109*x+10", "y^2=53*x^6+76*x^5+33*x^4+10*x^3+109*x^2+41*x+46", "y^2=116*x^6+68*x^5+29*x^4+124*x^3+85*x^2+47*x+93", "y^2=8*x^6+56*x^5+126*x^4+112*x^3+15*x^2+57*x+74", "y^2=75*x^6+15*x^5+95*x^4+80*x^3+114*x^2+18*x+38", "y^2=120*x^6+25*x^5+93*x^4+111*x^3+48*x^2+2*x+100", "y^2=122*x^6+79*x^5+104*x^4+28*x^3+121*x^2+36*x+7"], "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, "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": ["4.0.2362176.1"], "geometric_splitting_field": "4.0.2362176.1", "geometric_splitting_polynomials": [[1069, -14, 72, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 16, "label": "2.127.abm_xo", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["4.0.2362176.1"], "p": 127, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 3, 1, 2], [1, 13, 1, 8]], "poly": [1, -38, 612, -4826, 16129], "poly_str": "1 -38 612 -4826 16129 ", "primitive_models": [], "principal_polarization_count": 16, "q": 127, "real_poly": [1, -38, 358], "simple_distinct": ["2.127.abm_xo"], "simple_factors": ["2.127.abm_xoA"], "simple_multiplicities": [1], "size": 16, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2362176.1", "splitting_polynomials": [[1069, -14, 72, -2, 1]], "twist_count": 2, "twists": [["2.127.bm_xo", "2.16129.aim_chfm", 2]], "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 16404}