# Stored data for abelian variety isogeny class 2.71.as_hq, downloaded from the LMFDB on 09 December 2025.
{"abvar_count": 3944, "abvar_counts": [3944, 25777984, 128468405000, 645788405377024, 3255251309812013384, 16409779335747246280000, 82721295303527512664145704, 416997633916426058657746550784, 2102084990672563050059115348905000, 10596610556848281725035997634310897984], "abvar_counts_str": "3944 25777984 128468405000 645788405377024 3255251309812013384 16409779335747246280000 82721295303527512664145704 416997633916426058657746550784 2102084990672563050059115348905000 10596610556848281725035997634310897984 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.187913521440082, 0.423719104037511], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 54, "curve_counts": [54, 5114, 358938, 25413054, 1804233654, 128101037978, 9095129460954, 645753547970494, 45848500119584118, 3255243545006293754], "curve_counts_str": "54 5114 358938 25413054 1804233654 128101037978 9095129460954 645753547970494 45848500119584118 3255243545006293754 ", "curves": ["y^2=56*x^6+63*x^5+21*x^4+38*x^3+2*x^2+32*x+62", "y^2=49*x^6+39*x^5+57*x^4+35*x^3+4*x^2+51*x+9", "y^2=63*x^6+40*x^5+30*x^4+40*x^3+2*x^2+10*x+3", "y^2=58*x^6+20*x^5+11*x^4+23*x^3+9*x^2+68*x+22", "y^2=69*x^6+66*x^5+33*x^4+67*x^3+61*x^2+3*x+38", "y^2=58*x^6+59*x^5+14*x^4+13*x^3+59*x^2+52*x+19", "y^2=55*x^6+19*x^5+69*x^4+51*x^3+31*x^2+20*x+40", "y^2=70*x^6+60*x^5+7*x^4+31*x^3+52*x^2+3*x+26", "y^2=9*x^6+6*x^5+47*x^4+27*x^3+5*x^2+12*x+21", "y^2=12*x^6+5*x^5+49*x^4+33*x^3+5*x^2+30*x+66", "y^2=38*x^6+53*x^5+32*x^4+66*x^3+48*x^2+30*x+28", "y^2=56*x^6+21*x^5+51*x^3+54*x^2+15*x+7", "y^2=47*x^6+39*x^5+5*x^4+47*x^3+48*x^2+13*x+51", "y^2=28*x^6+29*x^5+13*x^4+53*x^3+13*x^2+54*x+51", "y^2=22*x^6+40*x^5+23*x^4+46*x^3+47*x^2+3*x", "y^2=13*x^6+50*x^5+12*x^4+47*x^3+46*x^2+23*x+13", "y^2=67*x^6+27*x^5+18*x^4+12*x^3+50*x^2+16*x+65", "y^2=63*x^6+13*x^5+39*x^4+56*x^3+24*x^2+11*x+59", "y^2=57*x^6+62*x^5+59*x^4+56*x^3+56*x^2+28", "y^2=3*x^6+64*x^5+6*x^4+41*x^3+13*x^2+9*x+36", "y^2=36*x^6+10*x^5+57*x^4+22*x^3+19*x^2+65*x+53", "y^2=18*x^6+62*x^5+16*x^4+27*x^3+3*x^2+65*x+33", "y^2=21*x^6+63*x^5+45*x^4+36*x^3+42*x^2+4*x+7", "y^2=27*x^6+65*x^5+x^4+39*x^3+54*x^2+56*x+42", "y^2=66*x^6+52*x^5+32*x^4+65*x^3+7*x^2+69*x+52", "y^2=68*x^6+15*x^5+43*x^4+31*x^3+52*x^2+22*x+26", "y^2=68*x^6+38*x^5+5*x^4+8*x^3+36*x^2+16*x+35", "y^2=21*x^6+4*x^5+41*x^4+14*x^3+67*x^2+24*x+61", "y^2=64*x^6+17*x^5+9*x^4+33*x^3+18*x^2+27*x+37", "y^2=18*x^6+58*x^5+54*x^4+54*x^3+21*x^2+26*x+69", "y^2=7*x^6+22*x^5+41*x^4+68*x^3+12*x^2+11*x+31", "y^2=38*x^6+8*x^5+40*x^4+15*x^3+60*x^2+7*x+66", "y^2=13*x^6+52*x^5+59*x^4+17*x^3+33*x^2+7*x+26", "y^2=40*x^6+32*x^5+29*x^4+12*x^3+35*x^2+4*x+19", "y^2=23*x^6+23*x^5+35*x^4+33*x^3+62*x^2+64*x+51", "y^2=25*x^6+63*x^5+40*x^4+31*x^3+54*x^2+53*x+62", "y^2=58*x^6+49*x^5+68*x^4+26*x^3+68*x^2+49*x+58", "y^2=69*x^6+44*x^5+50*x^4+7*x^3+64*x^2+44*x+47", "y^2=41*x^6+30*x^5+2*x^4+46*x^3+2*x^2+30*x+41", "y^2=8*x^6+22*x^5+17*x^4+28*x^3+39*x^2+61*x+25", "y^2=65*x^6+13*x^5+14*x^4+64*x^3+57*x^2+32*x+70", "y^2=8*x^6+53*x^5+26*x^4+51*x^3+58*x^2+27*x+42", "y^2=51*x^6+56*x^5+50*x^4+6*x^3+50*x^2+38*x+11", "y^2=11*x^6+69*x^5+53*x^4+51*x^3+38*x^2+25*x+38", "y^2=47*x^6+18*x^5+53*x^4+56*x^3+26*x^2+47*x+33", "y^2=60*x^6+39*x^5+37*x^4+58*x^3+49*x^2+62*x+47", "y^2=11*x^6+25*x^5+32*x^4+45*x^3+52*x^2+7*x+67", "y^2=11*x^6+14*x^5+35*x^4+9*x^3+17*x^2+70*x+19", "y^2=44*x^6+59*x^5+36*x^4+7*x^3+36*x^2+59*x+44", "y^2=2*x^6+25*x^5+46*x^4+20*x^3+33*x^2+56*x+38", "y^2=24*x^6+55*x^5+4*x^4+33*x^3+4*x^2+55*x+24", "y^2=14*x^6+10*x^5+6*x^4+63*x^3+58*x^2+18*x+47", "y^2=28*x^5+57*x^4+4*x^3+17*x+66", "y^2=66*x^6+4*x^5+13*x^4+15*x^3+37*x^2+68*x+62", "y^2=44*x^6+28*x^5+42*x^4+56*x^3+21*x^2+58*x+66", "y^2=19*x^6+56*x^5+65*x^4+61*x^3+59*x^2+70*x+33", "y^2=16*x^6+44*x^5+53*x^4+50*x^3+43*x^2+6*x+54", "y^2=67*x^6+45*x^5+7*x^4+47*x^3+34*x^2+43*x+61", "y^2=20*x^6+70*x^5+62*x^4+47*x^3+56*x^2+6*x+15", "y^2=25*x^6+24*x^5+51*x^4+32*x^3+55*x^2+55*x+15", "y^2=59*x^6+16*x^5+14*x^4+21*x^3+68*x^2+42*x+4", "y^2=11*x^6+63*x^5+39*x^4+3*x^3+17*x^2+38*x+37", "y^2=25*x^6+7*x^5+38*x^4+31*x^3+57*x^2+55*x+55", "y^2=11*x^6+62*x^5+14*x^4+64*x^3+31*x^2+38*x+60", "y^2=28*x^6+44*x^5+66*x^4+65*x^3+33*x^2+40*x+47", "y^2=7*x^6+40*x^5+60*x^4+37*x^3+18*x^2+8*x+68", "y^2=66*x^6+63*x^5+34*x^4+14*x^3+50*x^2+23*x+63", "y^2=67*x^6+50*x^5+20*x^4+61*x^3+56*x^2+70*x+32", "y^2=20*x^6+65*x^5+x^4+14*x^3+32*x^2+33*x+30", "y^2=63*x^6+22*x^5+39*x^4+6*x^3+39*x^2+22*x+63", "y^2=64*x^6+48*x^5+66*x^4+45*x^3+6*x^2+39*x+14", "y^2=28*x^6+68*x^5+32*x^4+11*x^3+32*x^2+68*x+28"], "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": ["2.0.88.1", "2.0.67.1"], "geometric_splitting_field": "4.0.34762816.1", "geometric_splitting_polynomials": [[47, -78, 79, -2, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 72, "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": 72, "label": "2.71.as_hq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.88.1", "2.0.67.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -18, 198, -1278, 5041], "poly_str": "1 -18 198 -1278 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, -18, 56], "simple_distinct": ["1.71.ao", "1.71.ae"], "simple_factors": ["1.71.aoA", "1.71.aeA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-5*F+1", "5,F^2+9*F+3*V+34"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.34762816.1", "splitting_polynomials": [[47, -78, 79, -2, 1]], "twist_count": 4, "twists": [["2.71.ak_di", "2.5041.cu_ewc", 2], ["2.71.k_di", "2.5041.cu_ewc", 2], ["2.71.s_hq", "2.5041.cu_ewc", 2]], "weak_equivalence_count": 10, "zfv_index": 200, "zfv_index_factorization": [[2, 3], [5, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 23584, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-5*F+1", "5,F^2+9*F+3*V+34"]}