# Stored data for abelian variety isogeny class 2.83.a_aen, downloaded from the LMFDB on 03 March 2026.
{"abvar_count": 6773, "abvar_counts": [6773, 45873529, 326941189796, 2252300774644921, 15516041192685815093, 106890541585224094521616, 736365263311597252137832157, 5072820726478227405831283304169, 34946659039493167134245437731481604, 240747534293123051330636964053786598649], "abvar_counts_str": "6773 45873529 326941189796 2252300774644921 15516041192685815093 106890541585224094521616 736365263311597252137832157 5072820726478227405831283304169 34946659039493167134245437731481604 240747534293123051330636964053786598649 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.125514040079979, 0.874485959920021], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 84, "curve_counts": [84, 6656, 571788, 47458500, 3939040644, 326942006222, 27136050989628, 2252292421956484, 186940255267540404, 15516041198165776736], "curve_counts_str": "84 6656 571788 47458500 3939040644 326942006222 27136050989628 2252292421956484 186940255267540404 15516041198165776736 ", "curves": ["y^2=20*x^6+12*x^5+13*x^4+4*x^3+16*x^2+67*x+68", "y^2=40*x^6+24*x^5+26*x^4+8*x^3+32*x^2+51*x+53", "y^2=46*x^6+34*x^5+45*x^4+24*x^3+x^2+58*x+19", "y^2=9*x^6+68*x^5+7*x^4+48*x^3+2*x^2+33*x+38", "y^2=37*x^6+68*x^5+53*x^4+31*x^3+22*x^2+57*x+16", "y^2=74*x^6+53*x^5+23*x^4+62*x^3+44*x^2+31*x+32", "y^2=77*x^6+51*x^5+67*x^4+18*x^3+76*x^2+10*x+36", "y^2=71*x^6+19*x^5+51*x^4+36*x^3+69*x^2+20*x+72", "y^2=77*x^6+21*x^5+42*x^4+72*x^3+47*x^2+53*x+18", "y^2=71*x^6+42*x^5+x^4+61*x^3+11*x^2+23*x+36", "y^2=31*x^6+45*x^5+14*x^4+46*x^3+69*x^2+37*x+13", "y^2=62*x^6+7*x^5+28*x^4+9*x^3+55*x^2+74*x+26", "y^2=10*x^6+2*x^5+33*x^4+56*x^3+67*x^2+10*x+34", "y^2=20*x^6+4*x^5+66*x^4+29*x^3+51*x^2+20*x+68", "y^2=41*x^6+9*x^5+81*x^4+35*x^3+5*x^2+26*x+32", "y^2=82*x^6+18*x^5+79*x^4+70*x^3+10*x^2+52*x+64", "y^2=57*x^6+16*x^5+35*x^4+41*x^3+31*x^2+18*x+6", "y^2=31*x^6+32*x^5+70*x^4+82*x^3+62*x^2+36*x+12", "y^2=80*x^6+26*x^5+16*x^4+10*x^3+63*x^2+78*x+78", "y^2=59*x^6+9*x^5+70*x^4+3*x^3+80*x^2+9*x+80", "y^2=35*x^6+18*x^5+57*x^4+6*x^3+77*x^2+18*x+77", "y^2=45*x^6+50*x^5+3*x^4+2*x^3+21*x^2+15*x+61", "y^2=7*x^6+17*x^5+6*x^4+4*x^3+42*x^2+30*x+39", "y^2=2*x^6+76*x^5+55*x^4+54*x^3+31*x^2+32*x+77", "y^2=58*x^6+49*x^5+72*x^4+27*x^3+39*x^2+27*x+18", "y^2=58*x^6+4*x^5+33*x^4+63*x^3+31*x^2+64*x+23", "y^2=33*x^6+8*x^5+66*x^4+43*x^3+62*x^2+45*x+46", "y^2=29*x^6+52*x^5+x^4+12*x^3+38*x^2+43*x+70", "y^2=58*x^6+21*x^5+2*x^4+24*x^3+76*x^2+3*x+57", "y^2=10*x^6+50*x^5+22*x^4+80*x^3+8*x^2+47*x+56", "y^2=20*x^6+17*x^5+44*x^4+77*x^3+16*x^2+11*x+29", "y^2=18*x^6+39*x^5+73*x^4+62*x^3+27*x^2+47*x+1", "y^2=36*x^6+78*x^5+63*x^4+41*x^3+54*x^2+11*x+2", "y^2=73*x^6+18*x^5+71*x^4+39*x^3+10*x^2+16*x+40", "y^2=63*x^6+36*x^5+59*x^4+78*x^3+20*x^2+32*x+80", "y^2=47*x^6+46*x^5+64*x^4+42*x^3+9*x^2+30*x+53", "y^2=11*x^6+9*x^5+45*x^4+x^3+18*x^2+60*x+23", "y^2=65*x^6+47*x^5+68*x^4+43*x^3+74*x^2+61*x+38", "y^2=79*x^6+53*x^5+19*x^4+27*x^3+62*x^2+49*x+20", "y^2=75*x^6+23*x^5+38*x^4+54*x^3+41*x^2+15*x+40", "y^2=60*x^6+51*x^5+12*x^4+55*x^3+33*x^2+81*x+14", "y^2=37*x^6+19*x^5+24*x^4+27*x^3+66*x^2+79*x+28", "y^2=66*x^6+31*x^5+11*x^4+59*x^3+44*x^2+40*x+43", "y^2=49*x^6+62*x^5+22*x^4+35*x^3+5*x^2+80*x+3", "y^2=46*x^6+17*x^5+11*x^4+46*x^3+2*x^2+25*x+61", "y^2=9*x^6+34*x^5+22*x^4+9*x^3+4*x^2+50*x+39", "y^2=62*x^6+25*x^5+52*x^4+18*x^3+29*x^2+24*x+34", "y^2=41*x^6+50*x^5+21*x^4+36*x^3+58*x^2+48*x+68", "y^2=65*x^6+75*x^5+76*x^4+65*x^3+69*x^2+47*x+38", "y^2=80*x^6+35*x^5+42*x^4+20*x^3+25*x^2+64*x+28", "y^2=22*x^6+11*x^5+75*x^4+78*x^3+57*x^2+34*x+68", "y^2=46*x^6+55*x^5+20*x^4+4*x^3+5*x^2+56*x+75", "y^2=37*x^6+82*x^5+48*x^4+54*x^3+7*x^2+7*x+58", "y^2=74*x^6+81*x^5+13*x^4+25*x^3+14*x^2+14*x+33", "y^2=47*x^6+52*x^5+34*x^4+6*x^3+29*x^2+50*x+17", "y^2=11*x^6+21*x^5+68*x^4+12*x^3+58*x^2+17*x+34", "y^2=61*x^6+60*x^5+2*x^4+18*x^3+39*x^2+13*x+54", "y^2=39*x^6+37*x^5+4*x^4+36*x^3+78*x^2+26*x+25", "y^2=13*x^6+53*x^5+26*x^4+7*x^3+38*x^2+75*x+13", "y^2=26*x^6+23*x^5+52*x^4+14*x^3+76*x^2+67*x+26", "y^2=59*x^6+57*x^5+11*x^4+46*x^3+11*x^2+68*x+42", "y^2=35*x^6+31*x^5+22*x^4+9*x^3+22*x^2+53*x+1", "y^2=12*x^6+77*x^5+50*x^4+40*x^3+32*x^2+41*x+54"], "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": ["4T2"], "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": ["2.0.283.1"], "geometric_splitting_field": "2.0.283.1", "geometric_splitting_polynomials": [[71, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 63, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 63, "label": "2.83.a_aen", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.1281424.2"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 13, 1, 36]], "poly": [1, 0, -117, 0, 6889], "poly_str": "1 0 -117 0 6889 ", "primitive_models": [], "principal_polarization_count": 75, "q": 83, "real_poly": [1, 0, -283], "simple_distinct": ["2.83.a_aen"], "simple_factors": ["2.83.a_aenA"], "simple_multiplicities": [1], "singular_primes": ["7,-422*F+303*V-21"], "size": 39, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1281424.2", "splitting_polynomials": [[5041, 0, -141, 0, 1]], "twist_count": 6, "twists": [["2.83.ao_ih", "2.47458321.gw_hzsuyt", 4], ["2.83.a_en", "2.47458321.gw_hzsuyt", 4], ["2.83.o_ih", "2.47458321.gw_hzsuyt", 4], ["2.83.ah_abi", "2.106890007738661124410161.adeawkpse_exokhbnwbvhsijzcg", 12], ["2.83.h_abi", "2.106890007738661124410161.adeawkpse_exokhbnwbvhsijzcg", 12]], "weak_equivalence_count": 2, "zfv_index": 49, "zfv_index_factorization": [[7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 36, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2401, "zfv_singular_count": 2, "zfv_singular_primes": ["7,-422*F+303*V-21"]}