# Stored data for abelian variety isogeny class 2.71.ae_fq, downloaded from the LMFDB on 07 March 2026.
{"abvar_count": 4900, "abvar_counts": [4900, 26832400, 128400388900, 645298183398400, 3255071787033062500, 16409821370804658000400, 82721291859332926649308900, 416997585024556984828382822400, 2102084983671193986608116607092900, 10596610585131803999459186359710250000], "abvar_counts_str": "4900 26832400 128400388900 645298183398400 3255071787033062500 16409821370804658000400 82721291859332926649308900 416997585024556984828382822400 2102084983671193986608116607092900 10596610585131803999459186359710250000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.462134322676343, 0.462134322676343], "center_dim": 2, "curve_count": 68, "curve_counts": [68, 5318, 358748, 25393758, 1804134148, 128101366118, 9095129082268, 645753472257598, 45848499966877508, 3255243553694897798], "curve_counts_str": "68 5318 358748 25393758 1804134148 128101366118 9095129082268 645753472257598 45848499966877508 3255243553694897798 ", "curves": ["y^2=52*x^6+50*x^5+48*x^4+29*x^3+57*x^2+40*x+21", "y^2=9*x^6+15*x^5+33*x^4+20*x^3+50*x^2+28*x+44", "y^2=11*x^6+32*x^5+11*x^4+39*x^3+57*x^2+52*x+36", "y^2=22*x^6+51*x^5+70*x^4+40*x^3+15*x^2+65*x+62", "y^2=53*x^6+31*x^5+9*x^4+56*x^3+64*x^2+39*x+63", "y^2=25*x^6+45*x^5+9*x^4+44*x^3+29*x^2+57*x+10", "y^2=20*x^6+4*x^5+36*x^4+63*x^3+69*x^2+6*x+70", "y^2=14*x^6+38*x^5+23*x^4+60*x^3+4*x^2+13*x+35", "y^2=54*x^6+43*x^5+37*x^4+40*x^3+56*x^2+42*x+9", "y^2=64*x^6+13*x^5+41*x^4+13*x^3+10*x^2+14*x+64", "y^2=52*x^6+40*x^5+55*x^4+40*x^3+55*x^2+40*x+52", "y^2=21*x^6+43*x^5+33*x^4+70*x^3+37*x^2+9", "y^2=64*x^6+64*x^5+66*x^4+62*x^3+66*x^2+64*x+64", "y^2=57*x^6+9*x^5+63*x^4+65*x^3+49*x^2+41*x+50", "y^2=48*x^6+31*x^5+64*x^4+9*x^3+53*x^2+35*x+36", "y^2=31*x^6+59*x^5+68*x^4+17*x^3+14*x^2+16*x+24", "y^2=69*x^6+14*x^5+31*x^4+37*x^3+67*x^2+47*x+47", "y^2=26*x^6+20*x^5+5*x^4+12*x^3+21*x^2+58*x+32", "y^2=24*x^6+18*x^5+50*x^4+34*x^3+57*x^2+29*x+62", "y^2=6*x^6+60*x^5+39*x^4+36*x^3+39*x^2+60*x+6", "y^2=15*x^6+5*x^5+5*x^4+55*x^3+8*x^2+27*x+16", "y^2=57*x^6+57*x^5+22*x^4+43*x^3+8*x^2+11*x+70", "y^2=9*x^5+70*x^4+25*x^3+44*x^2+68*x+4", "y^2=69*x^6+27*x^5+43*x^4+68*x^3+39*x^2+14*x+22", "y^2=65*x^6+23*x^5+31*x^4+51*x^3+31*x^2+52*x+29", "y^2=52*x^6+40*x^5+51*x^4+65*x^3+51*x^2+32*x+53", "y^2=13*x^6+5*x^5+66*x^4+5*x^3+31*x^2+9*x+28", "y^2=70*x^6+18*x^5+47*x^4+x^3+47*x^2+18*x+70", "y^2=36*x^6+47*x^5+51*x^4+6*x^3+61*x+26", "y^2=35*x^6+50*x^5+7*x^4+54*x^3+27*x^2+56*x+64", "y^2=27*x^6+23*x^5+63*x^4+42*x^3+47*x^2+65*x+19", "y^2=50*x^6+68*x^5+44*x^4+62*x^3+58*x^2+46*x+51", "y^2=4*x^6+12*x^5+19*x^4+59*x^3+13*x^2+35*x+55", "y^2=30*x^6+48*x^4+48*x^2+30", "y^2=12*x^6+67*x^5+55*x^4+70*x^3+64*x^2+4*x+66", "y^2=45*x^6+38*x^5+70*x^4+62*x^3+35*x^2+2*x+54", "y^2=48*x^6+35*x^5+17*x^4+66*x^3+47*x^2+47*x+5", "y^2=24*x^6+7*x^4+7*x^2+24", "y^2=46*x^6+51*x^5+35*x^4+39*x^3+33*x^2+37*x+59", "y^2=3*x^6+60*x^5+29*x^4+53*x^3+29*x^2+60*x+3", "y^2=69*x^6+47*x^5+5*x^4+59*x^3+5*x^2+64*x+46", "y^2=62*x^6+7*x^5+44*x^4+42*x^2+23*x+48", "y^2=58*x^6+28*x^5+x^4+6*x^3+45*x^2+42*x+10", "y^2=21*x^6+66*x^5+12*x^4+56*x^3+10*x^2+45*x+30", "y^2=38*x^6+41*x^5+26*x^4+10*x^3+9*x^2+42*x+65", "y^2=34*x^6+18*x^5+62*x^3+40*x^2+53*x+68", "y^2=52*x^6+32*x^5+52*x^4+27*x^3+52*x^2+32*x+52", "y^2=55*x^6+60*x^5+37*x^4+41*x^3+39*x^2+50*x+52", "y^2=46*x^6+23*x^5+57*x^4+43*x^3+50*x^2+51*x+56", "y^2=9*x^6+70*x^5+46*x^4+10*x^3+54*x^2+63*x+37"], "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": ["2.0.280.1"], "geometric_splitting_field": "2.0.280.1", "geometric_splitting_polynomials": [[70, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 50, "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": 50, "label": "2.71.ae_fq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 5, 7], "number_fields": ["2.0.280.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 146, -284, 5041], "poly_str": "1 -4 146 -284 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, -4, 4], "simple_distinct": ["1.71.ac"], "simple_factors": ["1.71.acA", "1.71.acB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.280.1", "splitting_polynomials": [[70, 0, 1]], "twist_count": 6, "twists": [["2.71.a_fi", "2.5041.kq_brcg", 2], ["2.71.e_fq", "2.5041.kq_brcg", 2], ["2.71.c_acp", "2.357911.bge_byrju", 3], ["2.71.a_afi", "2.25411681.abank_lazjhe", 4], ["2.71.ac_acp", "2.128100283921.cjowy_cqjdsxifm", 6]]}