# Stored data for abelian variety isogeny class 2.59.a_aec, downloaded from the LMFDB on 25 October 2025.
{"abvar_count": 3376, "abvar_counts": [3376, 11397376, 42180449584, 146726900895744, 511116754225817776, 1779190327108365773056, 6193386212896786152416176, 21559179159540878970795393024, 75047496554032966803420447556144, 261240336450335013380231875957586176], "abvar_counts_str": "3376 11397376 42180449584 146726900895744 511116754225817776 1779190327108365773056 6193386212896786152416176 21559179159540878970795393024 75047496554032966803420447556144 261240336450335013380231875957586176 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0723995420183618, 0.927600457981638], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 60, "curve_counts": [60, 3270, 205380, 12108814, 714924300, 42180365526, 2488651484820, 146830449539614, 8662995818654940, 511116755150994150], "curve_counts_str": "60 3270 205380 12108814 714924300 42180365526 2488651484820 146830449539614 8662995818654940 511116755150994150 ", "curves": ["y^2=50*x^6+41*x^5+37*x^4+17*x^3+x^2+28*x+53", "y^2=49*x^6+28*x^5+32*x^4+47*x^3+10*x^2+18*x+50", "y^2=40*x^6+11*x^5+14*x^4+51*x^3+3*x^2+58*x+36", "y^2=33*x^6+44*x^5+32*x^4+35*x^3+39*x^2+42*x+47", "y^2=43*x^6+40*x^5+15*x^4+39*x^3+7*x^2+9*x+41", "y^2=43*x^6+2*x^5+28*x^4+53*x^3+18*x^2+52*x+36", "y^2=27*x^6+34*x^5+5*x^4+14*x^3+48*x^2+4*x+49", "y^2=36*x^6+38*x^5+52*x^4+58*x^3+3*x^2+13*x+24", "y^2=41*x^6+46*x^5+45*x^4+48*x^3+30*x^2+32*x+44", "y^2=53*x^6+51*x^5+19*x^4+12*x^3+40*x^2+35*x+24", "y^2=17*x^6+53*x^5+35*x^4+30*x^3+34*x^2+15*x+43", "y^2=9*x^6+45*x^5+42*x^4+56*x^3+29*x^2+42*x+50", "y^2=19*x^6+57*x^5+54*x^4+10*x^3+37*x^2+6*x+22", "y^2=7*x^6+33*x^5+57*x^4+38*x^3+50*x^2+49*x+50", "y^2=10*x^6+9*x^5+28*x^4+41*x^3+43*x^2+21*x+26", "y^2=32*x^6+49*x^5+39*x^4+12*x^3+25*x^2+36*x+26", "y^2=58*x^6+19*x^5+3*x^4+6*x^3+55*x^2+23*x+26", "y^2=57*x^6+38*x^5+6*x^4+12*x^3+51*x^2+46*x+52", "y^2=52*x^6+24*x^5+55*x^4+2*x^3+49*x^2+32*x+16", "y^2=17*x^6+7*x^5+4*x^4+58*x^3+50*x^2+17*x+23", "y^2=4*x^6+7*x^5+42*x^4+32*x^3+15*x^2+3*x+56", "y^2=13*x^6+41*x^5+14*x^4+8*x^3+15*x+16", "y^2=39*x^6+8*x^5+54*x^4+32*x^3+57*x^2+6*x+53", "y^2=38*x^6+10*x^5+28*x^4+9*x^3+31*x^2+10*x+21", "y^2=13*x^6+26*x^5+11*x^4+48*x^3+14*x^2+36*x+48", "y^2=17*x^6+55*x^5+12*x^4+38*x^3+26*x^2+28*x+58"], "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": 12, "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": ["2.0.168.1"], "geometric_splitting_field": "2.0.168.1", "geometric_splitting_polynomials": [[42, 0, 1]], "group_structure_count": 5, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 26, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 26, "label": "2.59.a_aec", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.28224.6"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -106, 0, 3481], "poly_str": "1 0 -106 0 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, 0, -224], "simple_distinct": ["2.59.a_aec"], "simple_factors": ["2.59.a_aecA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2-F+2"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.28224.6", "splitting_polynomials": [[196, 0, 14, 0, 1]], "twist_count": 4, "twists": [["2.59.ag_ct", "2.205379.a_aeuja", 3], ["2.59.g_ct", "2.205379.a_aeuja", 3], ["2.59.a_ec", "2.12117361.amqu_dpaemo", 4], ["2.59.g_ct", "2.42180533641.ajosa_ljyzetfy", 6]], "weak_equivalence_count": 15, "zfv_index": 64, "zfv_index_factorization": [[2, 6]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 144, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2-F+2"]}