# Stored data for abelian variety isogeny class 2.47.a_bt, downloaded from the LMFDB on 14 May 2026.
{"abvar_count": 2255, "abvar_counts": [2255, 5085025, 10779008240, 23834656305625, 52599132511810775, 116187018637987897600, 256666986188017520597735, 566977564546316244073355625, 1252453015827220907133989675120, 2766668740995029288444869406100625], "abvar_counts_str": "2255 5085025 10779008240 23834656305625 52599132511810775 116187018637987897600 256666986188017520597735 566977564546316244073355625 1252453015827220907133989675120 2766668740995029288444869406100625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.32945016300761, 0.67054983699239], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 48, "curve_counts": [48, 2300, 103824, 4884468, 229345008, 10778801150, 506623120464, 23811294727588, 1119130473102768, 52599132787791500], "curve_counts_str": "48 2300 103824 4884468 229345008 10778801150 506623120464 23811294727588 1119130473102768 52599132787791500 ", "curves": ["y^2=30*x^6+14*x^5+3*x^4+29*x^3+18*x^2+17*x+8", "y^2=9*x^6+23*x^5+15*x^4+4*x^3+43*x^2+38*x+40", "y^2=27*x^6+17*x^5+19*x^4+29*x^3+19*x^2+25*x+40", "y^2=41*x^6+38*x^5+x^4+4*x^3+x^2+31*x+12", "y^2=29*x^6+19*x^5+32*x^4+42*x^3+4*x^2+26*x+13", "y^2=4*x^6+x^5+19*x^4+22*x^3+20*x^2+36*x+18", "y^2=35*x^6+24*x^5+10*x^4+24*x^2+x+27", "y^2=22*x^6+12*x^5+17*x^4+43*x^3+26*x^2+14*x+18", "y^2=16*x^6+13*x^5+38*x^4+27*x^3+36*x^2+23*x+43", "y^2=33*x^6+7*x^5+15*x^4+23*x^3+13*x^2+42*x+14", "y^2=24*x^6+35*x^5+28*x^4+21*x^3+18*x^2+22*x+23", "y^2=21*x^6+36*x^5+13*x^4+5*x^3+x^2+x+42", "y^2=11*x^6+39*x^5+18*x^4+25*x^3+5*x^2+5*x+22", "y^2=29*x^6+38*x^5+8*x^4+8*x^3+22*x^2+23*x+9", "y^2=31*x^6+5*x^5+37*x^4+15*x^3+33*x^2+38*x+14", "y^2=7*x^6+15*x^5+25*x^4+34*x^3+25*x^2+29*x+4", "y^2=35*x^6+28*x^5+31*x^4+29*x^3+31*x^2+4*x+20", "y^2=8*x^6+31*x^5+25*x^4+44*x^3+10*x^2+33*x+22", "y^2=40*x^6+14*x^5+31*x^4+32*x^3+3*x^2+24*x+16", "y^2=43*x^6+41*x^5+10*x^4+45*x^3+14*x^2+39*x+27", "y^2=16*x^6+4*x^5+37*x^4+26*x^3+36*x^2+11*x+21", "y^2=33*x^6+20*x^5+44*x^4+36*x^3+39*x^2+8*x+11", "y^2=45*x^6+2*x^5+37*x^4+33*x^3+2*x^2+17*x+30", "y^2=37*x^6+10*x^5+44*x^4+24*x^3+10*x^2+38*x+9", "y^2=37*x^6+2*x^5+20*x^4+21*x^3+30*x^2+28*x+25", "y^2=44*x^6+10*x^5+6*x^4+11*x^3+9*x^2+46*x+31", "y^2=46*x^6+13*x^5+38*x^4+14*x^3+6*x^2+45*x+37", "y^2=42*x^6+18*x^5+2*x^4+23*x^3+30*x^2+37*x+44", "y^2=42*x^6+27*x^5+28*x^4+6*x^3+44*x^2+12*x+45", "y^2=29*x^6+18*x^5+23*x^4+2*x^3+6*x^2+12*x+8", "y^2=4*x^6+43*x^5+21*x^4+10*x^3+30*x^2+13*x+40", "y^2=45*x^6+44*x^5+43*x^4+20*x^3+29*x^2+39*x+45", "y^2=37*x^6+32*x^5+27*x^4+6*x^3+4*x^2+7*x+37", "y^2=11*x^6+33*x^5+32*x^4+46*x^3+x^2+39*x+43", "y^2=8*x^6+24*x^5+19*x^4+42*x^3+5*x^2+7*x+27", "y^2=19*x^6+43*x^5+15*x^4+38*x^3+46*x^2+38*x+23", "y^2=x^6+27*x^5+28*x^4+2*x^3+42*x^2+2*x+21", "y^2=10*x^6+22*x^5+39*x^4+13*x^3+28*x^2+11*x+6", "y^2=40*x^6+37*x^5+16*x^4+30*x^3+43*x^2+7*x+17", "y^2=12*x^6+44*x^5+33*x^4+9*x^3+27*x^2+35*x+38", "y^2=13*x^6+34*x^5+37*x^4+18*x^3+33*x^2+19*x+46", "y^2=18*x^6+29*x^5+44*x^4+43*x^3+24*x^2+x+42", "y^2=18*x^6+31*x^5+3*x^4+40*x^3+11*x^2+20*x+34", "y^2=43*x^6+14*x^5+15*x^4+12*x^3+8*x^2+6*x+29", "y^2=9*x^6+33*x^5+26*x^4+24*x^3+2*x^2+29*x+28", "y^2=45*x^6+24*x^5+36*x^4+26*x^3+10*x^2+4*x+46", "y^2=7*x^6+32*x^5+25*x^4+3*x^3+37*x^2+44*x+21", "y^2=35*x^6+19*x^5+31*x^4+15*x^3+44*x^2+32*x+11", "y^2=19*x^6+31*x^5+43*x^4+x^3+26*x^2+29*x+5", "y^2=x^6+14*x^5+27*x^4+5*x^3+36*x^2+4*x+25", "y^2=14*x^6+8*x^5+38*x^4+27*x^3+42*x^2+15*x+41", "y^2=23*x^6+40*x^5+2*x^4+41*x^3+22*x^2+28*x+17", "y^2=24*x^6+27*x^5+24*x^4+x^3+31*x^2+34*x+11", "y^2=26*x^6+41*x^5+26*x^4+5*x^3+14*x^2+29*x+8", "y^2=5*x^6+6*x^5+37*x^4+41*x^3+37*x+28", "y^2=25*x^6+30*x^5+44*x^4+17*x^3+44*x+46", "y^2=6*x^6+11*x^5+10*x^4+46*x^3+29*x^2+26*x+2", "y^2=30*x^6+8*x^5+3*x^4+42*x^3+4*x^2+36*x+10", "y^2=15*x^6+18*x^5+46*x^4+34*x^3+25*x+14", "y^2=28*x^6+43*x^5+42*x^4+29*x^3+31*x+23", "y^2=22*x^6+4*x^5+7*x^4+16*x^3+18*x^2+37*x+13", "y^2=16*x^6+20*x^5+35*x^4+33*x^3+43*x^2+44*x+18", "y^2=20*x^6+19*x^5+36*x^4+7*x^3+27*x^2+33*x+20", "y^2=6*x^6+x^5+39*x^4+35*x^3+41*x^2+24*x+6", "y^2=19*x^6+4*x^5+42*x^4+35*x^3+27*x^2+23", "y^2=x^6+20*x^5+22*x^4+34*x^3+41*x^2+21", "y^2=15*x^6+15*x^5+2*x^4+19*x^3+33*x^2+30*x+25", "y^2=32*x^6+3*x^5+35*x^4+45*x^3+9*x^2+5*x+32", "y^2=19*x^6+15*x^5+34*x^4+37*x^3+45*x^2+25*x+19", "y^2=24*x^6+34*x^5+34*x^4+33*x^3+8*x^2+24*x+37", "y^2=26*x^6+29*x^5+29*x^4+24*x^3+40*x^2+26*x+44", "y^2=36*x^6+8*x^5+37*x^4+10*x^3+34*x^2+6*x+21", "y^2=39*x^6+40*x^5+44*x^4+3*x^3+29*x^2+30*x+11", "y^2=36*x^6+18*x^5+17*x^4+45*x^3+14*x^2+46*x+24", "y^2=39*x^6+43*x^5+38*x^4+37*x^3+23*x^2+42*x+26", "y^2=39*x^6+36*x^5+31*x^4+2*x^3+29*x^2+37*x+41", "y^2=7*x^6+39*x^5+14*x^4+10*x^3+4*x^2+44*x+17", "y^2=43*x^6+40*x^5+45*x^4+40*x^3+29*x^2+16*x+42", "y^2=27*x^6+12*x^5+37*x^4+12*x^3+4*x^2+33*x+22", "y^2=40*x^6+42*x^5+6*x^4+31*x^3+29*x^2+6*x+32", "y^2=12*x^6+22*x^5+30*x^4+14*x^3+4*x^2+30*x+19", "y^2=4*x^6+13*x^5+29*x^4+9*x^3+25*x^2+x+1", "y^2=20*x^6+18*x^5+4*x^4+45*x^3+31*x^2+5*x+5", "y^2=16*x^6+31*x^5+16*x^4+19*x^3+14*x^2+15*x+6", "y^2=33*x^6+14*x^5+33*x^4+x^3+23*x^2+28*x+30", "y^2=36*x^6+27*x^5+x^4+22*x^3+9*x^2+40*x+39", "y^2=39*x^6+41*x^5+5*x^4+16*x^3+45*x^2+12*x+7", "y^2=32*x^6+41*x^5+40*x^4+33*x^3+17*x^2+23*x+28", "y^2=19*x^6+17*x^5+12*x^4+24*x^3+38*x^2+21*x+46", "y^2=32*x^6+45*x^5+12*x^4+6*x^3+46*x^2+9*x+14", "y^2=19*x^6+37*x^5+13*x^4+30*x^3+42*x^2+45*x+23", "y^2=38*x^6+8*x^5+40*x^4+7*x^3+42*x^2+6*x+17", "y^2=8*x^6+43*x^5+43*x^4+39*x^3+5*x^2+18*x+37", "y^2=40*x^6+27*x^5+27*x^4+7*x^3+25*x^2+43*x+44", "y^2=12*x^6+17*x^5+45*x^4+16*x^3+32*x^2+3*x+28", "y^2=13*x^6+38*x^5+37*x^4+33*x^3+19*x^2+15*x+46", "y^2=23*x^6+19*x^5+31*x^4+9*x^3+30*x^2+22*x+15", "y^2=21*x^6+x^5+14*x^4+45*x^3+9*x^2+16*x+28", "y^2=11*x^6+31*x^5+x^4+11*x^3+18*x^2+6*x+19", "y^2=8*x^6+14*x^5+5*x^4+8*x^3+43*x^2+30*x+1", "y^2=x^6+41*x^5+23*x^4+39*x^3+32*x^2+27*x+10", "y^2=5*x^6+17*x^5+21*x^4+7*x^3+19*x^2+41*x+3", "y^2=38*x^6+39*x^5+x^4+22*x^3+35*x^2+23*x+42", "y^2=44*x^6+25*x^5+27*x^4+13*x^3+x^2+6", "y^2=32*x^6+31*x^5+41*x^4+18*x^3+5*x^2+30", "y^2=11*x^6+20*x^5+26*x^4+18*x^3+6*x^2+13*x+34", "y^2=8*x^6+6*x^5+36*x^4+43*x^3+30*x^2+18*x+29", "y^2=38*x^6+25*x^5+2*x^4+4*x^3+9*x^2+23*x+18", "y^2=2*x^6+31*x^5+10*x^4+20*x^3+45*x^2+21*x+43", "y^2=40*x^6+39*x^5+19*x^4+17*x^3+22*x^2+20*x+45", "y^2=12*x^6+7*x^5+x^4+38*x^3+16*x^2+6*x+37", "y^2=36*x^6+11*x^5+25*x^4+19*x^3+29*x^2+39*x+27", "y^2=39*x^6+8*x^5+31*x^4+x^3+4*x^2+7*x+41", "y^2=41*x^6+45*x^5+7*x^4+21*x^3+31*x^2+37*x+19", "y^2=17*x^6+37*x^5+35*x^4+11*x^3+14*x^2+44*x+1", "y^2=20*x^6+29*x^5+x^4+42*x^3+27*x^2+11*x+39", "y^2=6*x^6+4*x^5+5*x^4+22*x^3+41*x^2+8*x+7", "y^2=29*x^6+41*x^5+9*x^4+6*x^3+8*x^2+44*x+39", "y^2=4*x^6+17*x^5+45*x^4+30*x^3+40*x^2+32*x+7", "y^2=5*x^6+8*x^5+39*x^4+45*x^3+20*x^2+19*x+1", "y^2=25*x^6+40*x^5+7*x^4+37*x^3+6*x^2+x+5", "y^2=41*x^6+20*x^5+4*x^4+43*x^3+21*x^2+46*x+38", "y^2=17*x^6+6*x^5+20*x^4+27*x^3+11*x^2+42*x+2"], "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": 8, "g": 2, "galois_groups": ["2T1", "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.139.1"], "geometric_splitting_field": "2.0.139.1", "geometric_splitting_polynomials": [[35, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 123, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 123, "label": "2.47.a_bt", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.139.1", "2.0.139.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 45, 0, 2209], "poly_str": "1 0 45 0 2209 ", "primitive_models": [], "q": 47, "real_poly": [1, 0, -49], "simple_distinct": ["1.47.ah", "1.47.h"], "simple_factors": ["1.47.ahA", "1.47.hA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2-3*V+38", "7,-6*V-52", "7,-37*F-8"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.139.1", "splitting_polynomials": [[35, -1, 1]], "twist_count": 6, "twists": [["2.47.ao_fn", "2.2209.dm_jnv", 2], ["2.47.o_fn", "2.2209.dm_jnv", 2], ["2.47.a_abt", "2.4879681.hcc_bhxcad", 4], ["2.47.ah_c", "2.10779215329.axosa_iaqagopy", 6], ["2.47.h_c", "2.10779215329.axosa_iaqagopy", 6]], "weak_equivalence_count": 8, "zfv_index": 196, "zfv_index_factorization": [[2, 2], [7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 19321, "zfv_singular_count": 6, "zfv_singular_primes": ["2,F^2-3*V+38", "7,-6*V-52", "7,-37*F-8"]}