# Stored data for abelian variety isogeny class 2.83.e_adc, downloaded from the LMFDB on 09 December 2025.
{"abvar_count": 7146, "abvar_counts": [7146, 46263204, 328097506554, 2252485267742736, 15516735276836776266, 106890060849958978804836, 736365213928743004173891546, 5072820149741696152693646966784, 34946658824812433259046269179646186, 240747534104119081059553169930783330724], "abvar_counts_str": "7146 46263204 328097506554 2252485267742736 15516735276836776266 106890060849958978804836 736365213928743004173891546 5072820149741696152693646966784 34946658824812433259046269179646186 240747534104119081059553169930783330724 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.226177453866124, 0.93238967165157], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 88, "curve_counts": [88, 6714, 573808, 47462390, 3939216848, 326940535818, 27136049169800, 2252292165890014, 186940254119148184, 15516041185984578714], "curve_counts_str": "88 6714 573808 47462390 3939216848 326940535818 27136049169800 2252292165890014 186940254119148184 15516041185984578714 ", "curves": ["y^2=33*x^6+80*x^5+31*x^4+56*x^3+56*x^2+37*x+44", "y^2=73*x^6+54*x^5+23*x^4+32*x^3+2*x^2+51*x+52", "y^2=10*x^6+44*x^5+10*x^4+73*x^3+9*x^2+26*x+41", "y^2=46*x^6+10*x^5+61*x^4+39*x^3+30*x^2+36*x+28", "y^2=13*x^6+57*x^5+78*x^4+81*x^3+8*x^2+32*x+64", "y^2=73*x^6+67*x^5+36*x^4+76*x^3+3*x^2+24*x+64", "y^2=42*x^6+63*x^5+29*x^4+77*x^3+55*x^2+67*x+68", "y^2=76*x^6+14*x^5+37*x^4+5*x^3+54*x^2+66*x+74", "y^2=33*x^6+28*x^5+13*x^4+29*x^3+16*x^2+9*x+56", "y^2=4*x^6+29*x^5+5*x^4+49*x^3+55*x^2+68*x+7", "y^2=69*x^6+78*x^5+44*x^4+19*x^3+33*x^2+17*x+32", "y^2=46*x^6+30*x^5+42*x^4+22*x^3+27*x^2+57*x+1", "y^2=22*x^6+2*x^5+74*x^4+49*x^3+3*x^2+68*x+28", "y^2=13*x^6+7*x^5+17*x^4+21*x^3+9*x^2+63*x+8", "y^2=45*x^6+26*x^5+33*x^4+16*x^3+20*x^2+18*x+44", "y^2=20*x^6+77*x^5+30*x^4+59*x^3+63*x^2+71*x+10", "y^2=73*x^6+17*x^5+31*x^4+6*x^3+44*x^2+69*x+15", "y^2=6*x^6+8*x^5+76*x^4+21*x^3+19*x^2+31*x+17", "y^2=63*x^6+34*x^5+81*x^4+62*x^2+20*x+24", "y^2=39*x^6+31*x^5+76*x^4+24*x^3+47*x^2+58*x+3", "y^2=56*x^6+40*x^5+6*x^4+17*x^3+67*x^2+75*x+22", "y^2=51*x^6+30*x^5+35*x^4+61*x^3+24*x^2+76*x+37", "y^2=38*x^6+24*x^5+16*x^4+22*x^3+22*x^2+53*x+29", "y^2=15*x^6+21*x^5+81*x^4+73*x^3+25*x^2+2*x+23", "y^2=16*x^6+81*x^5+58*x^4+52*x^3+73*x^2+59*x+47", "y^2=3*x^6+53*x^5+24*x^4+8*x^3+62*x^2+71*x+15", "y^2=38*x^6+57*x^5+x^4+79*x^3+50*x^2+64*x+15", "y^2=30*x^6+75*x^5+42*x^4+32*x^3+18*x^2+72*x+14", "y^2=80*x^6+25*x^5+48*x^4+73*x^3+58*x^2+82*x+60", "y^2=20*x^6+30*x^5+51*x^4+28*x^3+77*x^2+37*x+10", "y^2=63*x^6+58*x^5+45*x^4+72*x^3+43*x^2+76*x+58", "y^2=63*x^6+3*x^5+81*x^4+52*x^3+41*x^2+17*x+30", "y^2=18*x^6+73*x^5+21*x^4+49*x^3+22*x^2+66*x+54", "y^2=63*x^6+24*x^5+32*x^4+25*x^3+44*x^2+33*x+75", "y^2=32*x^6+20*x^5+62*x^4+78*x^3+50*x^2+15*x+81", "y^2=69*x^6+26*x^5+69*x^4+4*x^3+18*x^2+24*x+7", "y^2=67*x^6+32*x^5+46*x^4+62*x^3+4*x^2+55*x+22", "y^2=66*x^6+8*x^5+69*x^4+66*x^3+79*x+57", "y^2=65*x^6+82*x^5+79*x^4+54*x^3+70*x^2+27*x+39", "y^2=23*x^6+25*x^5+79*x^4+14*x^3+4*x^2+42*x+42", "y^2=56*x^6+79*x^5+4*x^4+14*x^3+39*x^2+79*x+3", "y^2=13*x^6+74*x^5+48*x^4+52*x^3+21*x^2+78*x+27", "y^2=38*x^6+72*x^5+15*x^4+44*x^3+31*x^2+35*x+82", "y^2=15*x^6+66*x^5+44*x^4+51*x^3+40*x^2+60*x+24", "y^2=75*x^6+33*x^5+67*x^4+12*x^3+50*x+9", "y^2=63*x^6+71*x^5+12*x^4+4*x^3+3*x^2+68*x+10", "y^2=41*x^6+55*x^5+18*x^4+7*x^3+75*x^2+29*x+41", "y^2=40*x^6+6*x^5+16*x^4+62*x^3+51*x^2+50*x+16", "y^2=24*x^6+70*x^5+65*x^4+22*x^3+72*x^2+39*x+48", "y^2=35*x^6+59*x^5+22*x^4+75*x^3+34*x^2+77*x+21", "y^2=41*x^6+46*x^5+4*x^4+12*x^3+71*x^2+20*x+70", "y^2=44*x^6+69*x^5+67*x^4+79*x^3+70*x^2+58*x+10", "y^2=35*x^6+67*x^5+41*x^4+81*x^3+50*x^2+16*x+30", "y^2=71*x^6+82*x^5+70*x^4+65*x^3+55*x^2+50*x+71", "y^2=48*x^6+20*x^5+9*x^4+32*x^3+35*x^2+52*x+59", "y^2=3*x^6+13*x^5+58*x^4+58*x^3+9*x^2+33*x+33", "y^2=49*x^6+20*x^5+49*x^4+45*x^3+73*x^2+14*x+37", "y^2=60*x^6+47*x^5+14*x^4+64*x^3+63*x^2+17*x+49", "y^2=42*x^6+17*x^5+36*x^4+37*x^3+x^2+79*x+9", "y^2=36*x^6+53*x^5+37*x^4+76*x^3+66*x^2+11*x+30", "y^2=52*x^6+29*x^5+81*x^4+66*x^3+63*x^2+58*x+17", "y^2=20*x^6+59*x^5+13*x^4+6*x^3+12*x^2+78*x+52", "y^2=57*x^6+55*x^5+40*x^4+15*x^3+26*x^2+63*x+32", "y^2=58*x^6+28*x^5+28*x^4+24*x^3+42*x^2+38*x+41", "y^2=42*x^6+54*x^5+50*x^4+9*x^3+35*x^2+57*x+13", "y^2=79*x^6+43*x^5+36*x^4+29*x^3+32*x^2+66*x+82", "y^2=26*x^6+21*x^5+35*x^4+74*x^3+52*x^2+36*x+73", "y^2=18*x^6+30*x^5+45*x^4+14*x^3+11*x^2+17*x+2", "y^2=37*x^6+36*x^5+26*x^4+65*x^3+50*x+77", "y^2=73*x^6+27*x^5+76*x^4+69*x^3+49*x^2+82*x+71", "y^2=58*x^6+80*x^5+16*x^4+68*x^3+47*x^2+66*x+33", "y^2=77*x^6+44*x^5+36*x^4+33*x^3+38*x^2+66*x+82", "y^2=37*x^6+15*x^5+43*x^4+21*x^3+7*x^2+15*x+50", "y^2=3*x^6+23*x^5+5*x^4+56*x^3+18*x^2+35*x+53", "y^2=10*x^6+35*x^5+66*x^4+44*x^3+57*x^2+56*x+49", "y^2=61*x^6+74*x^5+54*x^3+79*x^2+28*x+76", "y^2=56*x^6+3*x^5+52*x^4+50*x^3+62*x^2+36*x+48", "y^2=67*x^6+43*x^5+65*x^4+22*x^3+75*x^2+28*x+63", "y^2=46*x^6+34*x^5+9*x^4+30*x^3+71*x^2+82*x+35", "y^2=39*x^6+27*x^5+10*x^4+22*x^3+18*x^2+44*x+17", "y^2=74*x^6+34*x^5+41*x^4+46*x^3+80*x^2+64*x+68", "y^2=44*x^6+58*x^5+5*x^4+x^3+67*x^2+18*x+62", "y^2=3*x^5+50*x^4+60*x^3+71*x^2+37*x+26", "y^2=53*x^6+34*x^5+69*x^4+23*x^3+2*x^2+65*x+9", "y^2=2*x^6+77*x^5+76*x^4+50*x^3+49*x^2+30*x+68", "y^2=50*x^6+45*x^5+71*x^4+63*x^3+75*x^2+40*x+5", "y^2=73*x^6+80*x^5+7*x^4+66*x^2+35*x+58", "y^2=9*x^6+23*x^5+36*x^4+64*x^3+29*x^2+41*x+71", "y^2=55*x^6+54*x^5+11*x^4+16*x^3+48*x^2+55*x+68", "y^2=51*x^6+9*x^5+21*x^4+4*x^3+59*x^2+81*x+17", "y^2=76*x^6+58*x^5+70*x^4+60*x^3+13*x^2+67*x+51", "y^2=7*x^6+16*x^5+46*x^4+8*x^3+77*x^2+80*x+11", "y^2=79*x^6+5*x^5+78*x^4+59*x^3+76*x^2+21*x+25", "y^2=8*x^6+49*x^5+65*x^4+80*x^3+55*x^2+39*x+29", "y^2=80*x^6+50*x^5+13*x^4+14*x^3+78*x^2+66*x+29", "y^2=29*x^6+34*x^5+22*x^4+2*x^3+22*x^2+47*x+22"], "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": 2, "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": ["4.0.3334400.2"], "geometric_splitting_field": "4.0.3334400.2", "geometric_splitting_polynomials": [[234, -100, 34, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 96, "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": 96, "label": "2.83.e_adc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.3334400.2"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 4, -80, 332, 6889], "poly_str": "1 4 -80 332 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, 4, -246], "simple_distinct": ["2.83.e_adc"], "simple_factors": ["2.83.e_adcA"], "simple_multiplicities": [1], "singular_primes": ["5,-18*F+22*V+99"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3334400.2", "splitting_polynomials": [[234, -100, 34, 0, 1]], "twist_count": 2, "twists": [["2.83.ae_adc", "2.6889.agu_zxy", 2]], "weak_equivalence_count": 2, "zfv_index": 25, "zfv_index_factorization": [[5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 5, "zfv_plus_index_factorization": [[5, 1]], "zfv_plus_norm": 2084, "zfv_singular_count": 2, "zfv_singular_primes": ["5,-18*F+22*V+99"]}