# Stored data for abelian variety isogeny class 2.47.ai_ea, downloaded from the LMFDB on 15 June 2026.
{"abvar_count": 1930, "abvar_counts": [1930, 5207140, 10868434090, 23800066512400, 52590966492068650, 116191031405430334180, 256667296391582788953610, 566977395072996960215040000, 1252453023449834216912849261770, 2766668726618414225995540748649700], "abvar_counts_str": "1930 5207140 10868434090 23800066512400 52590966492068650 116191031405430334180 256667296391582788953610 566977395072996960215040000 1252453023449834216912849261770 2766668726618414225995540748649700 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.344117799528841, 0.463927535094548], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 40, "curve_counts": [40, 2354, 104680, 4877382, 229309400, 10779173426, 506623732760, 23811287610238, 1119130479913960, 52599132514467314], "curve_counts_str": "40 2354 104680 4877382 229309400 10779173426 506623732760 23811287610238 1119130479913960 52599132514467314 ", "curves": ["y^2=38*x^6+8*x^4+21*x^3+27*x^2+17*x+2", "y^2=23*x^6+30*x^5+35*x^4+12*x^3+2*x^2+19*x+11", "y^2=27*x^6+17*x^5+24*x^4+20*x^3+25*x^2+22*x+10", "y^2=3*x^6+16*x^5+42*x^4+15*x^3+26*x^2+9*x+3", "y^2=31*x^6+15*x^5+26*x^4+32*x^3+36*x^2+36*x+1", "y^2=26*x^6+30*x^5+45*x^4+26*x^3+14*x^2+40*x+28", "y^2=27*x^6+15*x^5+39*x^4+25*x^3+4*x^2+25*x+35", "y^2=13*x^6+11*x^5+18*x^4+30*x^3+44*x^2+5*x+18", "y^2=23*x^5+41*x^4+30*x^3+45*x^2+9*x+39", "y^2=2*x^6+18*x^5+3*x^4+8*x^3+29*x^2+5*x+17", "y^2=22*x^6+11*x^5+43*x^4+6*x^3+x^2+34*x+39", "y^2=2*x^6+32*x^5+9*x^4+31*x^3+19*x^2+28*x+45", "y^2=23*x^6+38*x^5+44*x^4+24*x^3+23*x^2+15*x+27", "y^2=x^6+38*x^5+42*x^4+18*x^3+31*x^2+28*x+4", "y^2=33*x^6+21*x^5+9*x^4+8*x^3+20*x^2+37*x+31", "y^2=11*x^6+5*x^5+9*x^4+9*x^3+3*x^2+7*x+2", "y^2=27*x^6+9*x^5+15*x^2+45*x+8", "y^2=41*x^6+35*x^5+43*x^4+30*x^3+22*x^2+28*x+34", "y^2=28*x^6+12*x^5+34*x^4+18*x^3+x^2+41*x+7", "y^2=44*x^6+46*x^5+4*x^4+45*x^3+23*x^2+41*x+44", "y^2=12*x^6+46*x^5+30*x^4+13*x^3+20*x^2+21*x", "y^2=36*x^6+4*x^5+10*x^4+32*x^3+37*x^2+8*x+18", "y^2=x^6+7*x^5+18*x^4+40*x^3+17*x^2+19*x+9", "y^2=31*x^6+29*x^5+8*x^4+30*x^3+28*x^2+36*x+19", "y^2=24*x^6+23*x^5+27*x^4+30*x^3+33*x^2+17*x+6", "y^2=33*x^6+7*x^5+2*x^4+28*x^3+44*x^2+22*x+2", "y^2=41*x^6+29*x^5+6*x^4+46*x^3+28*x^2+40*x+43", "y^2=31*x^6+40*x^5+20*x^4+37*x^3+24*x^2+6*x+31"], "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": ["4.0.15651072.1"], "geometric_splitting_field": "4.0.15651072.1", "geometric_splitting_polynomials": [[1825, -24, 80, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 28, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 28, "label": "2.47.ai_ea", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.15651072.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 5, 1, 14], [1, 19, 1, 14]], "poly": [1, -8, 104, -376, 2209], "poly_str": "1 -8 104 -376 2209 ", "primitive_models": [], "principal_polarization_count": 28, "q": 47, "real_poly": [1, -8, 10], "simple_distinct": ["2.47.ai_ea"], "simple_factors": ["2.47.ai_eaA"], "simple_multiplicities": [1], "singular_primes": [], "size": 28, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.15651072.1", "splitting_polynomials": [[1825, -24, 80, 0, 1]], "twist_count": 2, "twists": [["2.47.i_ea", "2.2209.fo_nqo", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 28, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 27172, "zfv_singular_count": 0, "zfv_singular_primes": []}