# Stored data for abelian variety isogeny class 2.71.c_fn, downloaded from the LMFDB on 02 January 2026.
{"abvar_count": 5329, "abvar_counts": [5329, 26863489, 127949290000, 645255659945689, 3255333229043165209, 16409854620671643040000, 82721166396920396625486649, 416997564744078290199129930729, 2102085038129037130230210635290000, 10596610595863549036484273513367896209], "abvar_counts_str": "5329 26863489 127949290000 645255659945689 3255333229043165209 16409854620671643040000 82721166396920396625486649 416997564744078290199129930729 2102085038129037130230210635290000 10596610595863549036484273513367896209 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.518899318962046, 0.518899318962046], "center_dim": 2, "curve_count": 74, "curve_counts": [74, 5324, 357488, 25392084, 1804279054, 128101625678, 9095115287794, 645753440851684, 45848501154655568, 3255243556991654204], "curve_counts_str": "74 5324 357488 25392084 1804279054 128101625678 9095115287794 645753440851684 45848501154655568 3255243556991654204 ", "curves": ["y^2=18*x^6+35*x^5+56*x^4+27*x^3+64*x^2+10*x+59", "y^2=43*x^6+59*x^5+2*x^4+25*x^3+43*x^2+64*x+12", "y^2=28*x^6+16*x^5+56*x^4+66*x^3+66*x^2+66*x+33", "y^2=2*x^6+10*x^5+44*x^4+63*x^3+16*x^2+58*x+48", "y^2=46*x^6+26*x^4+5*x^3+49*x^2+19*x+10", "y^2=46*x^6+27*x^5+7*x^4+37*x^3+6*x^2+67*x+53", "y^2=30*x^6+21*x^5+26*x^4+53*x^3+9*x^2+42*x+47", "y^2=5*x^6+57*x^5+42*x^4+67*x^3+66*x^2+58*x+54", "y^2=28*x^6+29*x^5+66*x^4+35*x^3+62*x^2+20*x+11", "y^2=41*x^6+29*x^5+21*x^4+2*x^3+21*x^2+29*x+41", "y^2=58*x^6+62*x^5+9*x^4+20*x^3+35*x^2+67*x+35", "y^2=9*x^6+21*x^5+30*x^4+57*x^3+51*x^2+39*x+33", "y^2=17*x^6+48*x^5+22*x^4+65*x^3+23*x^2+34*x+47", "y^2=48*x^6+24*x^5+6*x^4+5*x^3+43*x^2+13*x+17", "y^2=26*x^6+25*x^5+38*x^4+6*x^3+38*x^2+25*x+26", "y^2=63*x^6+3*x^5+32*x^4+59*x^3+52*x^2+14*x+50", "y^2=3*x^6+26*x^5+18*x^4+20*x^3+18*x^2+26*x+3", "y^2=38*x^6+7*x^5+7*x^4+x^3+4*x^2+69*x+3", "y^2=43*x^6+44*x^5+69*x^4+35*x^3+43*x^2+25*x+68", "y^2=56*x^6+62*x^5+30*x^4+57*x^3+52*x^2+34*x+13", "y^2=41*x^6+27*x^5+57*x^4+3*x^3+16*x^2+27*x+29", "y^2=59*x^6+51*x^5+27*x^4+47*x^3+27*x^2+51*x+59", "y^2=18*x^6+34*x^5+19*x^4+13*x^3+66*x^2+64*x+20", "y^2=61*x^6+21*x^5+8*x^4+x^3+8*x^2+21*x+61", "y^2=26*x^6+48*x^5+39*x^4+29*x^3+39*x^2+48*x+26", "y^2=38*x^6+47*x^5+6*x^4+35*x^2+14*x+29", "y^2=2*x^6+64*x^5+37*x^4+37*x^3+37*x^2+64*x+2", "y^2=69*x^6+40*x^5+9*x^4+6*x^3+27*x^2+62*x+11", "y^2=68*x^6+33*x^5+67*x^4+30*x^3+67*x^2+33*x+68", "y^2=27*x^6+56*x^5+44*x^4+57*x^3+44*x^2+56*x+27", "y^2=58*x^6+9*x^5+40*x^4+19*x^3+5*x^2+61*x+49", "y^2=66*x^6+37*x^5+69*x^4+15*x^3+69*x^2+37*x+66", "y^2=14*x^6+15*x^5+47*x^4+13*x^3+7*x^2+31*x+30", "y^2=55*x^6+13*x^5+51*x^4+61*x^3+10*x^2+18*x+23", "y^2=20*x^6+9*x^5+32*x^4+40*x^3+32*x^2+9*x+20", "y^2=42*x^6+9*x^5+5*x^4+8*x^3+5*x^2+9*x+42", "y^2=65*x^6+55*x^5+68*x^4+44*x^3+47*x^2+43*x+9", "y^2=70*x^6+17*x^5+45*x^4+66*x^3+26*x^2+10*x+34", "y^2=66*x^6+68*x^5+65*x^4+23*x^2+8*x+7"], "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": ["2.0.283.1"], "geometric_splitting_field": "2.0.283.1", "geometric_splitting_polynomials": [[71, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 39, "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": 39, "label": "2.71.c_fn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [73], "number_fields": ["2.0.283.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 2, 143, 142, 5041], "poly_str": "1 2 143 142 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, 2, 1], "simple_distinct": ["1.71.b"], "simple_factors": ["1.71.bA", "1.71.bB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.283.1", "splitting_polynomials": [[71, -1, 1]], "twist_count": 6, "twists": [["2.71.ac_fn", "2.5041.kw_bsil", 2], ["2.71.a_fl", "2.5041.kw_bsil", 2], ["2.71.ab_acs", "2.357911.aqi_brhkg", 3], ["2.71.a_afl", "2.25411681.abczu_mjiunb", 4], ["2.71.b_acs", "2.128100283921.cyiwa_djyicylvy", 6]]}