# Stored data for abelian variety isogeny class 2.71.au_ji, downloaded from the LMFDB on 31 May 2026.
{"abvar_count": 3844, "abvar_counts": [3844, 25847056, 128911157764, 646176400000000, 3255254199580219204, 16409538992709615448336, 82721104824239995289538244, 416997599396860325894400000000, 2102085039181300756930599601618564, 10596610599827587375668245396355859216], "abvar_counts_str": "3844 25847056 128911157764 646176400000000 3255254199580219204 16409538992709615448336 82721104824239995289538244 416997599396860325894400000000 2102085039181300756930599601618564 10596610599827587375668245396355859216 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.297788873486378, 0.297788873486378], "center_dim": 2, "curve_count": 52, "curve_counts": [52, 5126, 360172, 25428318, 1804235252, 128099161766, 9095108517932, 645753494514238, 45848501177606452, 3255243558209393606], "curve_counts_str": "52 5126 360172 25428318 1804235252 128099161766 9095108517932 645753494514238 45848501177606452 3255243558209393606 ", "curves": ["y^2=51*x^6+66*x^5+65*x^4+45*x^3+39*x^2+70*x+58", "y^2=43*x^6+2*x^5+13*x^4+38*x^3+13*x^2+2*x+43", "y^2=57*x^6+10*x^5+53*x^4+20*x^3+64*x^2+65*x+4", "y^2=69*x^6+19*x^5+12*x^4+15*x^3+37*x+33", "y^2=16*x^6+37*x^5+45*x^3+37*x+16", "y^2=31*x^6+34*x^5+61*x^4+10*x^3+61*x^2+34*x+31", "y^2=47*x^6+21*x^5+27*x^4+59*x^3+52*x^2+45*x+56", "y^2=63*x^6+4*x^5+24*x^4+43*x^3+24*x^2+4*x+63", "y^2=65*x^6+30*x^5+50*x^4+51*x^3+42*x^2+43*x+47", "y^2=49*x^6+18*x^5+60*x^4+62*x^3+70*x^2+50*x+42", "y^2=28*x^6+7*x^5+4*x^4+45*x^3+25*x^2+62*x+67", "y^2=54*x^6+67*x^5+8*x^4+48*x^3+8*x^2+67*x+54", "y^2=58*x^6+35*x^5+7*x^4+8*x^3+7*x^2+24*x+49", "y^2=17*x^6+63*x^5+14*x^3+46*x^2+36*x+8", "y^2=35*x^6+37*x^5+68*x^4+x^3+68*x^2+37*x+35", "y^2=26*x^6+66*x^5+20*x^4+65*x^3+43*x^2+47*x+61", "y^2=54*x^6+50*x^5+7*x^4+19*x^3+51*x^2+x+3", "y^2=22*x^6+52*x^5+47*x^4+61*x^3+44*x^2+17*x+61", "y^2=44*x^6+57*x^5+38*x^4+27*x^3+58*x^2+34*x+46", "y^2=15*x^6+67*x^5+46*x^4+27*x^3+4*x^2+68*x+27", "y^2=11*x^6+33*x^5+38*x^4+15*x^3+38*x^2+33*x+11", "y^2=14*x^6+25*x^5+6*x^4+13*x^3+62*x^2+14*x+32", "y^2=42*x^6+51*x^5+69*x^4+39*x^3+56*x^2+45*x+56", "y^2=55*x^6+44*x^5+39*x^4+20*x^3+57*x^2+57*x+21", "y^2=61*x^6+59*x^5+20*x^4+4*x^3+30*x^2+44*x+55", "y^2=47*x^6+61*x^5+23*x^4+12*x^3+60*x^2+7*x+14", "y^2=2*x^6+6*x^5+50*x^4+27*x^3+20*x^2+18*x+45", "y^2=51*x^6+62*x^5+70*x^4+48*x^3+62*x^2+45*x+22", "y^2=29*x^6+53*x^4+53*x^2+29", "y^2=28*x^6+34*x^5+31*x^4+25*x^3+47*x^2+9*x+68", "y^2=63*x^6+20*x^5+30*x^4+58*x^3+64*x^2+13*x+33", "y^2=13*x^6+14*x^4+14*x^2+13", "y^2=60*x^6+33*x^5+30*x^4+63*x^3+69*x^2+47*x+66", "y^2=59*x^6+67*x^5+9*x^4+60*x^3+46*x^2+51*x+14"], "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": ["2.0.184.1"], "geometric_splitting_field": "2.0.184.1", "geometric_splitting_polynomials": [[46, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 34, "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": 34, "label": "2.71.au_ji", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 31], "number_fields": ["2.0.184.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -20, 242, -1420, 5041], "poly_str": "1 -20 242 -1420 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, -20, 100], "simple_distinct": ["1.71.ak"], "simple_factors": ["1.71.akA", "1.71.akB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.184.1", "splitting_polynomials": [[46, 0, 1]], "twist_count": 6, "twists": [["2.71.a_bq", "2.5041.dg_rnq", 2], ["2.71.u_ji", "2.5041.dg_rnq", 2], ["2.71.k_bd", "2.357911.diy_ejjve", 3], ["2.71.a_abq", "2.25411681.ypw_kcqfgw", 4], ["2.71.ak_bd", "2.128100283921.aclvzw_ctclemcwc", 6]]}