# Stored data for abelian variety isogeny class 2.47.o_fi, downloaded from the LMFDB on 10 December 2025.
{"abvar_count": 3020, "abvar_counts": [3020, 5061520, 10667790620, 23829231238400, 52602282046325500, 116189683438981361680, 256667191188564032304620, 566977377685000144230502400, 1252453038909709808600194853420, 2766668700584533375777330469578000], "abvar_counts_str": "3020 5061520 10667790620 23829231238400 52602282046325500 116189683438981361680 256667191188564032304620 566977377685000144230502400 1252453038909709808600194853420 2766668700584533375777330469578000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.612950816214134, 0.735257010414287], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 62, "curve_counts": [62, 2290, 102746, 4883358, 229358742, 10779048370, 506623525106, 23811286879998, 1119130493728142, 52599132019518450], "curve_counts_str": "62 2290 102746 4883358 229358742 10779048370 506623525106 23811286879998 1119130493728142 52599132019518450 ", "curves": ["y^2=41*x^6+25*x^5+33*x^4+22*x^3+27*x^2+20*x", "y^2=37*x^6+28*x^5+46*x^4+34*x^3+4*x^2+44*x+40", "y^2=6*x^6+7*x^5+41*x^4+14*x^2+34*x+1", "y^2=42*x^6+5*x^5+40*x^4+2*x^3+10*x^2+13*x+27", "y^2=44*x^6+30*x^5+31*x^4+33*x^3+3*x^2+21*x+13", "y^2=14*x^6+12*x^5+8*x^4+17*x^3+31*x^2+7*x+36", "y^2=3*x^6+12*x^5+21*x^4+31*x^3+6*x^2+13*x+16", "y^2=6*x^6+27*x^5+38*x^4+37*x^3+20*x^2+31*x+37", "y^2=40*x^6+20*x^5+40*x^4+20*x^3+46*x^2+41*x+23", "y^2=25*x^6+31*x^5+30*x^4+40*x^3+23*x^2+35*x+18", "y^2=10*x^5+14*x^4+8*x^3+13*x^2+15*x+34", "y^2=31*x^5+23*x^4+35*x^3+32*x^2+29*x+14", "y^2=4*x^6+7*x^5+10*x^4+18*x^2+19*x+36", "y^2=24*x^6+21*x^5+25*x^4+44*x^3+6*x^2+18*x+9", "y^2=12*x^6+8*x^5+x^4+43*x^3+25*x^2+5*x+10", "y^2=17*x^6+27*x^5+2*x^4+29*x^3+21*x^2+18*x+28", "y^2=4*x^6+20*x^5+26*x^4+16*x^3+42*x^2+12*x+25", "y^2=24*x^6+43*x^5+5*x^4+41*x^3+34*x^2+38*x+42", "y^2=18*x^6+18*x^5+20*x^4+9*x^3+9*x^2+21*x+23", "y^2=46*x^6+37*x^5+45*x^4+38*x^3+18*x^2+43*x+25", "y^2=28*x^5+14*x^4+15*x^3+45*x^2+45*x+9", "y^2=18*x^6+19*x^5+6*x^4+14*x^3+2*x^2+5*x+19", "y^2=32*x^6+8*x^5+9*x^4+2*x^3+28*x^2+40*x+36", "y^2=36*x^6+39*x^5+10*x^4+37*x^3+7*x^2+30*x+27", "y^2=16*x^6+44*x^5+36*x^4+17*x^3+26*x+6", "y^2=14*x^6+14*x^5+28*x^4+2*x^3+41*x^2+5*x+9", "y^2=18*x^6+16*x^5+33*x^4+5*x^3+3*x^2+12*x+7", "y^2=12*x^6+36*x^5+7*x^4+29*x^3+19*x^2+44*x+13", "y^2=10*x^6+31*x^5+11*x^4+40*x^2+30*x+21", "y^2=34*x^6+28*x^5+8*x^4+30*x^3+15*x^2+30*x+20", "y^2=12*x^6+14*x^5+27*x^4+42*x^3+30*x^2+30*x+29", "y^2=44*x^6+18*x^5+4*x^4+26*x^3+36*x^2+20*x+12", "y^2=22*x^6+4*x^5+5*x^4+14*x^3+31*x^2+20*x+4", "y^2=6*x^6+36*x^5+34*x^4+14*x^3+5*x^2+26*x+42", "y^2=46*x^6+27*x^5+31*x^4+43*x^3+39*x^2+3*x+31", "y^2=12*x^6+43*x^5+28*x^4+17*x^3+44*x^2+17*x+30", "y^2=12*x^6+3*x^5+17*x^4+44*x^3+46*x^2+43*x+2", "y^2=9*x^6+20*x^5+46*x^4+22*x^3+6*x^2+4*x+19", "y^2=31*x^5+22*x^4+25*x^3+5*x^2+3*x+14", "y^2=4*x^6+16*x^5+32*x^4+46*x^3+9*x^2+46*x+9", "y^2=36*x^6+44*x^5+37*x^4+25*x^3+22*x^2+29*x+12", "y^2=25*x^6+14*x^5+27*x^4+35*x^3+32*x^2+23*x+35"], "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": 3, "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": ["4.0.424400.1"], "geometric_splitting_field": "4.0.424400.1", "geometric_splitting_polynomials": [[1061, 0, 67, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 42, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 42, "label": "2.47.o_fi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.424400.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 7], [1, 19, 1, 28]], "poly": [1, 14, 138, 658, 2209], "poly_str": "1 14 138 658 2209 ", "primitive_models": [], "principal_polarization_count": 42, "q": 47, "real_poly": [1, 14, 44], "simple_distinct": ["2.47.o_fi"], "simple_factors": ["2.47.o_fiA"], "simple_multiplicities": [1], "singular_primes": ["2,-21*F-8*V-113"], "size": 56, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.424400.1", "splitting_polynomials": [[1061, 0, 67, 0, 1]], "twist_count": 2, "twists": [["2.47.ao_fi", "2.2209.dc_hlu", 2]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 28, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 16976, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-21*F-8*V-113"]}