# Stored data for abelian variety isogeny class 2.47.u_hm, downloaded from the LMFDB on 04 October 2025.
{"abvar_count": 3364, "abvar_counts": [3364, 4857616, 10694455396, 23854081156096, 52587872457329764, 116192335681769775376, 256667754625072468353316, 566976922809592884848640000, 1252453147395094559731154547364, 2766668696812472345939361058894096], "abvar_counts_str": "3364 4857616 10694455396 23854081156096 52587872457329764 116192335681769775376 256667754625072468353316 566976922809592884848640000 1252453147395094559731154547364 2766668696812472345939361058894096 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.76016573708513, 0.76016573708513], "center_dim": 2, "curve_count": 68, "curve_counts": [68, 2198, 103004, 4888446, 229295908, 10779294422, 506624637244, 23811267776638, 1119130590665348, 52599131947805078], "curve_counts_str": "68 2198 103004 4888446 229295908 10779294422 506624637244 23811267776638 1119130590665348 52599131947805078 ", "curves": ["y^2=21*x^6+12*x^5+42*x^4+44*x^3+23*x^2+42*x+18", "y^2=13*x^6+37*x^4+37*x^2+13", "y^2=18*x^6+39*x^5+16*x^4+32*x^3+16*x^2+39*x+18", "y^2=2*x^6+2*x^5+10*x^4+44*x^3+32*x^2+39*x+28", "y^2=42*x^6+39*x^4+46*x^3+37*x^2+x+25", "y^2=28*x^6+40*x^5+25*x^4+46*x^3+36*x^2+10*x+27", "y^2=20*x^6+22*x^5+42*x^4+4*x^3+8*x^2+21*x+1", "y^2=2*x^6+10*x^5+x^4+28*x^3+38*x^2+12*x+15"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.88.1"], "geometric_splitting_field": "2.0.88.1", "geometric_splitting_polynomials": [[22, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 8, "label": "2.47.u_hm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.88.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 20, 194, 940, 2209], "poly_str": "1 20 194 940 2209 ", "primitive_models": [], "q": 47, "real_poly": [1, 20, 100], "simple_distinct": ["1.47.k"], "simple_factors": ["1.47.kA", "1.47.kB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.88.1", "splitting_polynomials": [[22, 0, 1]], "twist_count": 6, "twists": [["2.47.au_hm", "2.2209.am_gpi", 2], ["2.47.a_ag", "2.2209.am_gpi", 2], ["2.47.ak_cb", "2.103823.abfo_vjvu", 3], ["2.47.a_g", "2.4879681.mzc_cljudq", 4], ["2.47.k_cb", "2.10779215329.enaa_cwwcnypy", 6]]}