# Stored data for abelian variety isogeny class 2.59.ai_fe, downloaded from the LMFDB on 11 July 2026.
{"abvar_count": 3136, "abvar_counts": [3136, 12845056, 42445888576, 146747057766400, 511042742727071296, 1779197082735583952896, 6193401334768720584264256, 21559181044759241312069222400, 75047494306812996024857325668416, 261240334227141234328496003478716416], "abvar_counts_str": "3136 12845056 42445888576 146747057766400 511042742727071296 1779197082735583952896 6193401334768720584264256 21559181044759241312069222400 75047494306812996024857325668416 261240334227141234328496003478716416 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.416152878125519, 0.416152878125519], "center_dim": 2, "curve_count": 52, "curve_counts": [52, 3686, 206668, 12110478, 714820772, 42180525686, 2488657561148, 146830462379038, 8662995559250452, 511116750801315206], "curve_counts_str": "52 3686 206668 12110478 714820772 42180525686 2488657561148 146830462379038 8662995559250452 511116750801315206 ", "curves": ["y^2=13*x^6+25*x^5+28*x^4+6*x^3+7*x^2+20*x+38", "y^2=3*x^6+34*x^5+53*x^4+29*x^3+17*x^2+14*x+26", "y^2=6*x^6+41*x^5+46*x^4+56*x^3+58*x^2+x+21", "y^2=25*x^6+53*x^5+11*x^4+17*x^3+14*x^2+18*x+31", "y^2=18*x^6+42*x^5+34*x^4+32*x^3+13*x^2+29*x+52", "y^2=34*x^6+52*x^5+10*x^4+45*x^3+52*x^2+10*x+53", "y^2=37*x^6+8*x^4+8*x^2+37", "y^2=30*x^6+17*x^5+29*x^4+32*x^3+29*x^2+17*x+30", "y^2=21*x^6+32*x^5+38*x^4+29*x^3+38*x^2+32*x+21", "y^2=24*x^6+50*x^5+30*x^4+14*x^3+40*x^2+43*x+11", "y^2=58*x^6+43*x^5+48*x^4+2*x^3+48*x^2+43*x+58", "y^2=33*x^6+30*x^5+47*x^4+47*x^3+47*x^2+30*x+33", "y^2=22*x^6+10*x^5+11*x^4+5*x^3+11*x^2+10*x+22", "y^2=3*x^6+28*x^5+25*x^4+44*x^3+52*x^2+54*x+4", "y^2=28*x^6+4*x^5+27*x^4+11*x^3+12*x^2+19*x+46", "y^2=43*x^6+47*x^5+47*x^4+38*x^3+32*x^2+13*x+39", "y^2=14*x^6+56*x^5+47*x^4+14*x^3+47*x^2+56*x+14", "y^2=32*x^6+55*x^4+8*x^3+55*x^2+32", "y^2=46*x^6+15*x^5+26*x^3+24*x^2+25*x+38", "y^2=9*x^6+41*x^5+3*x^4+20*x^3+7*x^2+20*x+16", "y^2=37*x^6+46*x^5+34*x^4+17*x^3+43*x^2+x+55", "y^2=41*x^6+56*x^5+35*x^4+21*x^3+36*x^2+8*x+46", "y^2=37*x^6+19*x^5+4*x^4+x^3+4*x^2+19*x+37", "y^2=18*x^6+34*x^5+55*x^4+10*x^3+28*x^2+10*x", "y^2=40*x^6+6*x^5+27*x^4+43*x^3+57*x^2+21*x+27", "y^2=41*x^6+37*x^5+51*x^4+55*x^3+26*x^2+11*x+15", "y^2=56*x^6+34*x^5+52*x^4+36*x^3+45*x^2+12*x+32", "y^2=3*x^6+18*x^5+53*x^4+47*x^3+53*x^2+18*x+3", "y^2=17*x^6+49*x^4+49*x^2+17", "y^2=43*x^6+29*x^4+29*x^2+43", "y^2=35*x^6+31*x^5+25*x^4+34*x^3+53*x^2+42*x+48", "y^2=46*x^6+56*x^5+44*x^4+36*x^3+41*x^2+21*x+4", "y^2=6*x^6+5*x^5+17*x^4+30*x^3+15*x^2+46*x+24", "y^2=44*x^6+54*x^5+30*x^4+30*x^2+54*x+44", "y^2=51*x^6+12*x^5+29*x^4+2*x^3+45*x^2+27*x+27", "y^2=47*x^6+26*x^5+37*x^4+23*x^3+37*x^2+26*x+47", "y^2=6*x^6+14*x^5+5*x^3+58*x+39", "y^2=41*x^5+34*x^4+43*x^3+53*x^2+42*x+38", "y^2=29*x^6+57*x^5+25*x^4+43*x^3+32*x^2+17*x+34", "y^2=6*x^6+58*x^5+34*x^4+37*x^3+34*x^2+58*x+6", "y^2=8*x^6+55*x^5+47*x^4+35*x^3+47*x^2+55*x+8", "y^2=3*x^6+x^4+x^2+3", "y^2=40*x^6+34*x^5+52*x^4+x^3+10*x^2+14*x+32", "y^2=x^6+50*x^5+20*x^4+2*x^3+28*x^2+39*x+49", "y^2=31*x^6+47*x^5+3*x^4+47*x^3+3*x^2+47*x+31", "y^2=21*x^6+7*x^5+45*x^4+x^3+5*x^2+3*x+30", "y^2=6*x^6+51*x^5+4*x^3+26*x+18", "y^2=44*x^6+58*x^5+32*x^4+55*x^3+32*x^2+58*x+44", "y^2=52*x^6+24*x^5+56*x^4+28*x^3+56*x^2+24*x+52", "y^2=40*x^6+13*x^5+38*x^4+34*x^3+12*x^2+20*x+57", "y^2=45*x^6+18*x^5+46*x^4+25*x^3+20*x^2+44*x+35", "y^2=10*x^6+24*x^5+53*x^4+49*x^3+41*x^2+39*x+34", "y^2=30*x^5+32*x^4+28*x^3+32*x^2+30*x", "y^2=15*x^6+46*x^5+10*x^4+18*x^3+11*x^2+17*x+13", "y^2=47*x^6+43*x^5+21*x^4+21*x^3+37*x^2+8*x+40", "y^2=13*x^6+44*x^5+19*x^4+8*x^3+19*x^2+44*x+13", "y^2=49*x^6+22*x^5+34*x^4+58*x^3+34*x^2+22*x+49", "y^2=45*x^6+24*x^5+24*x^4+48*x^3+42*x^2+44*x+19", "y^2=14*x^6+42*x^5+21*x^4+16*x^3+49*x^2+32*x+38", "y^2=32*x^6+32*x^5+22*x^4+2*x^3+57*x^2+35*x+38", "y^2=37*x^6+25*x^5+30*x^4+14*x^3+51*x^2+14*x+53", "y^2=37*x^6+53*x^5+57*x^4+27*x^3+53*x^2+25*x+24", "y^2=43*x^6+25*x^5+22*x^4+7*x^3+22*x^2+25*x+43", "y^2=27*x^6+8*x^5+39*x^4+40*x^3+39*x^2+8*x+27", "y^2=53*x^6+38*x^4+38*x^2+53", "y^2=27*x^6+49*x^5+15*x^4+20*x^3+25*x^2+5*x+7", "y^2=37*x^6+4*x^5+15*x^4+37*x^3+25*x^2+57*x+38", "y^2=55*x^6+22*x^5+31*x^4+24*x^3+10*x^2+45*x+37", "y^2=38*x^6+36*x^5+51*x^4+54*x^3+35*x^2+29*x+23", "y^2=51*x^6+48*x^4+48*x^2+51", "y^2=42*x^6+13*x^5+22*x^4+57*x^3+17*x^2+13*x+40", "y^2=5*x^6+51*x^5+50*x^4+21*x^3+50*x^2+51*x+5", "y^2=23*x^6+27*x^5+8*x^3+21*x^2+27*x+42", "y^2=37*x^6+2*x^5+35*x^4+7*x^3+35*x^2+2*x+37", "y^2=11*x^6+7*x^5+55*x^4+8*x^3+38*x^2+2*x+27", "y^2=36*x^6+10*x^5+17*x^4+6*x^3+17*x^2+10*x+36", "y^2=10*x^6+53*x^5+50*x^4+50*x^3+57*x^2+16*x+1", "y^2=30*x^6+43*x^4+43*x^2+30", "y^2=11*x^6+34*x^5+19*x^4+29*x^3+19*x^2+34*x+11", "y^2=41*x^6+28*x^5+24*x^4+27*x^3+24*x^2+28*x+41", "y^2=31*x^6+5*x^5+x^4+11*x^3+x^2+5*x+31", "y^2=3*x^6+52*x^4+52*x^2+3", "y^2=9*x^6+13*x^5+4*x^4+35*x^3+11*x^2+39*x+3", "y^2=56*x^6+55*x^5+27*x^4+28*x^3+49*x^2+12*x+22", "y^2=23*x^6+6*x^5+18*x^4+27*x^3+4*x^2+36*x+33", "y^2=54*x^6+49*x^5+21*x^4+10*x^3+21*x^2+49*x+54", "y^2=26*x^6+3*x^5+8*x^4+51*x^3+8*x^2+3*x+26", "y^2=10*x^6+48*x^5+28*x^4+4*x^3+28*x^2+48*x+10"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.55.1"], "geometric_splitting_field": "2.0.55.1", "geometric_splitting_polynomials": [[14, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 88, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 88, "label": "2.59.ai_fe", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 7], "number_fields": ["2.0.55.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -8, 134, -472, 3481], "poly_str": "1 -8 134 -472 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -8, 16], "simple_distinct": ["1.59.ae"], "simple_factors": ["1.59.aeA", "1.59.aeB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.55.1", "splitting_polynomials": [[14, -1, 1]], "twist_count": 6, "twists": [["2.59.a_dy", "2.3481.hw_zry", 2], ["2.59.i_fe", "2.3481.hw_zry", 2], ["2.59.e_abr", "2.205379.bxo_buzdu", 3], ["2.59.a_ady", "2.12117361.akeu_dayxwo", 4], ["2.59.ae_abr", "2.42180533641.alua_kndpvzfy", 6]]}