# Stored data for abelian variety isogeny class 2.47.ae_dt, downloaded from the LMFDB on 08 December 2025.
{"abvar_count": 2115, "abvar_counts": [2115, 5285385, 10835128080, 23776965095625, 52590453654291075, 116194058035906556160, 256668059827414703857635, 566977223385027032640575625, 1252452901559252462340544279440, 2766668715629506188604917274732425], "abvar_counts_str": "2115 5285385 10835128080 23776965095625 52590453654291075 116194058035906556160 256668059827414703857635 566977223385027032640575625 1252452901559252462340544279440 2766668715629506188604917274732425 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.429786591898432, 0.47676423536705], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 44, "curve_counts": [44, 2388, 104360, 4872644, 229307164, 10779454206, 506625239668, 23811280399876, 1119130370998520, 52599132305549268], "curve_counts_str": "44 2388 104360 4872644 229307164 10779454206 506625239668 23811280399876 1119130370998520 52599132305549268 ", "curves": ["y^2=11*x^6+27*x^5+5*x^4+46*x^3+31*x^2+2*x+43", "y^2=20*x^6+41*x^5+20*x^4+42*x^3+20*x^2+41*x+20", "y^2=x^6+21*x^5+35*x^4+7*x^3+39*x^2+25*x+9", "y^2=38*x^6+36*x^5+30*x^4+43*x^3+45*x^2+34*x+46", "y^2=31*x^6+25*x^5+32*x^4+5*x^3+34*x^2+24*x+10", "y^2=15*x^6+10*x^5+9*x^4+19*x^3+42*x^2+35*x+10", "y^2=12*x^6+41*x^5+37*x^4+4*x^3+24*x^2+35*x+27", "y^2=44*x^6+27*x^5+x^4+2*x^3+14*x^2+28*x+40", "y^2=34*x^6+33*x^5+10*x^4+20*x^3+11*x^2+31*x+32", "y^2=30*x^6+26*x^5+44*x^4+39*x^3+35*x^2+40*x+40", "y^2=4*x^6+41*x^5+36*x^4+43*x^3+36*x^2+41*x+4", "y^2=2*x^6+7*x^5+22*x^4+13*x^3+10*x^2+3*x+1", "y^2=29*x^6+23*x^5+14*x^4+27*x^3+17*x^2+26*x+22", "y^2=4*x^6+10*x^5+42*x^4+20*x^3+32*x^2+43*x+14", "y^2=40*x^6+45*x^5+32*x^4+30*x^3+36*x^2+43*x+43", "y^2=12*x^6+44*x^5+22*x^4+12*x^3+40*x^2+13*x+8", "y^2=41*x^6+43*x^5+33*x^4+36*x^3+35*x^2+22*x+35", "y^2=36*x^6+3*x^5+22*x^4+16*x^3+38*x^2+14*x+21", "y^2=37*x^6+10*x^5+18*x^4+42*x^3+3*x^2+29*x+3", "y^2=45*x^6+4*x^5+2*x^4+36*x^3+36*x^2+27*x+39", "y^2=24*x^6+17*x^5+x^4+14*x^3+37*x^2+8*x+17", "y^2=26*x^6+26*x^5+19*x^4+3*x^3+43*x^2+13*x+22", "y^2=22*x^6+44*x^4+44*x^3+15*x^2+23", "y^2=10*x^6+16*x^5+26*x^4+36*x^3+35*x^2+34*x+39", "y^2=9*x^6+30*x^5+32*x^4+3*x^3+27*x^2+22*x+37", "y^2=33*x^6+9*x^5+42*x^4+6*x^3+2*x^2+24*x+40", "y^2=29*x^6+42*x^5+37*x^4+3*x^3+37*x^2+42*x+29", "y^2=26*x^6+12*x^5+9*x^4+31*x^3+7*x^2+9*x+23", "y^2=40*x^6+42*x^5+38*x^4+17*x^3+19*x^2+34*x+5", "y^2=11*x^6+27*x^5+46*x^4+45*x^3+20*x^2+37*x+31"], "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": 2, "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": ["2.0.179.1", "2.0.187.1"], "geometric_splitting_field": "4.0.1120441729.1", "geometric_splitting_polynomials": [[4, 0, 183, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 30, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 30, "label": "2.47.ae_dt", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.179.1", "2.0.187.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 97, -188, 2209], "poly_str": "1 -4 97 -188 2209 ", "primitive_models": [], "q": 47, "real_poly": [1, -4, 3], "simple_distinct": ["1.47.ad", "1.47.ab"], "simple_factors": ["1.47.adA", "1.47.abA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-F^2-7*V-32"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1120441729.1", "splitting_polynomials": [[4, 0, 183, 0, 1]], "twist_count": 4, "twists": [["2.47.ac_dn", "2.2209.gw_sfz", 2], ["2.47.c_dn", "2.2209.gw_sfz", 2], ["2.47.e_dt", "2.2209.gw_sfz", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 33473, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2-7*V-32"]}