# Stored data for abelian variety isogeny class 2.71.j_ge, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 5850, "abvar_counts": [5850, 26640900, 127502505000, 645530959101600, 3255511666751808750, 16409673678429911880000, 82721127909723189456603150, 416997650527677841601746166400, 2102085035113638476444818657005000, 10596610563524213471883699312461422500], "abvar_counts_str": "5850 26640900 127502505000 645530959101600 3255511666751808750 16409673678429911880000 82721127909723189456603150 416997650527677841601746166400 2102085035113638476444818657005000 10596610563524213471883699312461422500 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.556968285565791, 0.615871442562135], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 81, "curve_counts": [81, 5281, 356238, 25402921, 1804377951, 128100213178, 9095111056161, 645753573694321, 45848501088886818, 3255243547057117801], "curve_counts_str": "81 5281 356238 25402921 1804377951 128100213178 9095111056161 645753573694321 45848501088886818 3255243547057117801 ", "curves": ["y^2=67*x^6+42*x^5+56*x^4+43*x^3+4*x^2+11*x+21", "y^2=38*x^6+57*x^5+40*x^4+7*x^3+67*x^2+13*x+36", "y^2=38*x^6+19*x^5+21*x^4+17*x^3+20*x^2+61*x", "y^2=3*x^6+60*x^5+39*x^4+30*x^3+51*x^2+34*x+10", "y^2=9*x^6+8*x^5+27*x^4+30*x^3+28*x^2+62*x+32", "y^2=43*x^6+58*x^5+26*x^4+60*x^3+70*x^2+2*x+67", "y^2=13*x^6+5*x^5+14*x^4+54*x^3+47*x^2+58*x+39", "y^2=7*x^6+17*x^5+53*x^4+23*x^3+56*x^2+63*x+52", "y^2=68*x^6+57*x^5+4*x^4+11*x^3+48*x^2+24*x+60", "y^2=44*x^6+38*x^5+62*x^4+67*x^3+61*x^2+35*x+15", "y^2=14*x^6+61*x^5+56*x^4+42*x^3+45*x^2+3*x+7", "y^2=69*x^6+60*x^5+65*x^4+34*x^3+62*x^2+38*x+50", "y^2=7*x^6+46*x^5+24*x^4+46*x^3+27*x^2+14*x+31", "y^2=12*x^6+41*x^5+22*x^4+21*x^3+43*x^2+43*x+32", "y^2=9*x^6+8*x^5+3*x^4+53*x^3+60*x^2+64", "y^2=63*x^6+12*x^5+11*x^4+52*x^3+47*x^2+70*x+45", "y^2=40*x^6+22*x^5+43*x^4+70*x^3+48*x^2+25*x+41", "y^2=29*x^6+10*x^5+61*x^4+9*x^3+24*x^2+58*x+23", "y^2=12*x^6+29*x^5+47*x^4+63*x^3+41*x^2+15*x", "y^2=31*x^6+54*x^5+38*x^4+54*x^3+59*x^2+29*x+19", "y^2=62*x^6+70*x^5+15*x^4+54*x^3+29*x^2+61*x+19", "y^2=5*x^5+24*x^4+28*x^3+x^2+24*x+5", "y^2=68*x^6+9*x^5+51*x^4+44*x^3+9*x^2+10*x+38", "y^2=49*x^6+23*x^5+25*x^4+22*x^3+10*x^2+18*x+66", "y^2=56*x^6+27*x^5+19*x^4+22*x^3+x^2+42*x+30", "y^2=6*x^6+7*x^5+69*x^4+54*x^3+38*x^2+70*x+66", "y^2=65*x^6+35*x^5+38*x^4+39*x^3+61*x^2+36*x+39", "y^2=60*x^6+63*x^5+61*x^4+51*x^3+27*x^2+19*x+6", "y^2=47*x^6+43*x^5+70*x^4+66*x^3+12*x^2+34*x+69", "y^2=29*x^6+25*x^5+70*x^4+69*x^3+23*x^2+35*x+48", "y^2=43*x^6+26*x^5+52*x^4+4*x^3+6*x^2+24*x+17", "y^2=31*x^6+20*x^5+48*x^4+48*x^3+15*x^2+68*x+60", "y^2=51*x^6+32*x^5+26*x^4+14*x^3+43*x^2+23*x+4", "y^2=19*x^6+36*x^5+3*x^4+45*x^3+38*x^2+18*x+15", "y^2=17*x^6+3*x^5+67*x^4+48*x^3+27*x^2+41*x+43", "y^2=59*x^6+60*x^5+22*x^4+19*x^3+x^2+36*x+66", "y^2=37*x^6+2*x^5+20*x^4+60*x^3+40*x^2+70*x+28", "y^2=64*x^6+38*x^5+9*x^3+16*x^2+62*x+24", "y^2=25*x^6+69*x^5+6*x^4+3*x^3+49*x^2+52*x+47", "y^2=5*x^6+42*x^5+37*x^4+28*x^3+31*x^2+65*x+36"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.11.1", "2.0.248.1"], "geometric_splitting_field": "4.0.7441984.4", "geometric_splitting_polynomials": [[3543, -130, 131, -2, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 40, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 40, "label": "2.71.j_ge", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3, 5], "number_fields": ["2.0.11.1", "2.0.248.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 9, 160, 639, 5041], "poly_str": "1 9 160 639 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, 9, 18], "simple_distinct": ["1.71.d", "1.71.g"], "simple_factors": ["1.71.dA", "1.71.gA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,F+4", "3,-V+8", "5,12*F-2"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.7441984.4", "splitting_polynomials": [[3543, -130, 131, -2, 1]], "twist_count": 4, "twists": [["2.71.aj_ge", "2.5041.jf_bjua", 2], ["2.71.ad_eu", "2.5041.jf_bjua", 2], ["2.71.d_eu", "2.5041.jf_bjua", 2]], "weak_equivalence_count": 8, "zfv_index": 45, "zfv_index_factorization": [[3, 2], [5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 68200, "zfv_singular_count": 6, "zfv_singular_primes": ["3,F+4", "3,-V+8", "5,12*F-2"]}