# Stored data for abelian variety isogeny class 2.47.av_hr, downloaded from the LMFDB on 06 September 2025.
{"abvar_count": 1401, "abvar_counts": [1401, 4787217, 10811952711, 23827305068109, 52601463773804976, 116191121112592125201, 256666892275799744490123, 566977505223369735093935925, 1252453125896803894121051752269, 2766668756530650282161622825783552], "abvar_counts_str": "1401 4787217 10811952711 23827305068109 52601463773804976 116191121112592125201 256666892275799744490123 566977505223369735093935925 1252453125896803894121051752269 2766668756530650282161622825783552 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.117269065618637, 0.295691381463358], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 27, "curve_counts": [27, 2167, 104139, 4882963, 229355172, 10779181747, 506622935097, 23811292236211, 1119130571455533, 52599133083150382], "curve_counts_str": "27 2167 104139 4882963 229355172 10779181747 506622935097 23811292236211 1119130571455533 52599133083150382 ", "curves": ["y^2=26*x^6+14*x^5+35*x^4+17*x^3+10*x^2+16*x+20", "y^2=37*x^6+26*x^5+10*x^4+24*x^3+44*x^2+17*x+26", "y^2=12*x^6+27*x^5+14*x^4+10*x^3+24*x^2+30*x+5", "y^2=34*x^6+38*x^5+3*x^4+37*x^3+10*x^2+45*x+31", "y^2=41*x^6+35*x^5+18*x^4+34*x^3+26*x^2+7*x+15", "y^2=45*x^6+13*x^5+39*x^4+35*x^3+46*x^2+x+29", "y^2=44*x^6+17*x^5+31*x^4+9*x^3+38*x^2+45*x+35", "y^2=34*x^6+46*x^5+11*x^4+40*x^3+37*x^2+25*x+5", "y^2=2*x^6+45*x^5+44*x^4+36*x^3+30*x^2+30*x+12", "y^2=6*x^6+23*x^5+7*x^4+7*x^3+27*x+40", "y^2=41*x^6+44*x^5+9*x^4+22*x^3+35*x^2+32*x+11", "y^2=20*x^6+22*x^5+21*x^4+24*x^3+46*x^2+41*x+43", "y^2=33*x^6+35*x^5+46*x^4+11*x^3+27*x^2+37*x+29", "y^2=41*x^6+20*x^5+16*x^4+35*x^3+28*x^2+23*x+9"], "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": 1, "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": ["4.0.1296981.1"], "geometric_splitting_field": "4.0.1296981.1", "geometric_splitting_polynomials": [[249, -72, 34, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.47.av_hr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.1296981.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -21, 199, -987, 2209], "poly_str": "1 -21 199 -987 2209 ", "primitive_models": [], "q": 47, "real_poly": [1, -21, 105], "simple_distinct": ["2.47.av_hr"], "simple_factors": ["2.47.av_hrA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1296981.1", "splitting_polynomials": [[249, -72, 34, -1, 1]], "twist_count": 2, "twists": [["2.47.v_hr", "2.2209.abr_dur", 2]], "weak_equivalence_count": 1, "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": 2941, "zfv_singular_count": 0, "zfv_singular_primes": []}