# Stored data for abelian variety isogeny class 2.71.am_dz, downloaded from the LMFDB on 11 September 2025.
{"abvar_count": 4281, "abvar_counts": [4281, 25724529, 127894857876, 645668210944809, 3255482345111439801, 16409827591358915610000, 82721210512092687516833961, 416997631497116494470191330889, 2102085038947337835211567238330196, 10596610571165345951460493614277281009], "abvar_counts_str": "4281 25724529 127894857876 645668210944809 3255482345111439801 16409827591358915610000 82721210512092687516833961 416997631497116494470191330889 2102085038947337835211567238330196 10596610571165345951460493614277281009 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.164166417622884, 0.550458514951229], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 60, "curve_counts": [60, 5104, 357336, 25408324, 1804361700, 128101414678, 9095120138220, 645753544224004, 45848501172503496, 3255243549404448304], "curve_counts_str": "60 5104 357336 25408324 1804361700 128101414678 9095120138220 645753544224004 45848501172503496 3255243549404448304 ", "curves": ["y^2=20*x^6+64*x^5+21*x^4+45*x^3+17*x^2+18*x+16", "y^2=49*x^6+54*x^5+68*x^4+41*x^3+10*x^2+34*x+35", "y^2=14*x^6+51*x^5+12*x^4+12*x^3+54*x^2+44*x+32", "y^2=68*x^6+50*x^5+x^4+30*x^3+58*x^2+7*x+48", "y^2=14*x^6+46*x^5+42*x^4+70*x^3+36*x^2+46*x+25", "y^2=14*x^6+6*x^5+59*x^4+68*x^3+12*x^2+49*x+28", "y^2=59*x^6+55*x^5+17*x^4+46*x^3+65*x^2+18*x+62", "y^2=31*x^6+50*x^5+31*x^4+6*x^3+68*x^2+8*x+64", "y^2=66*x^6+20*x^5+28*x^4+30*x^3+70*x+47", "y^2=58*x^6+26*x^5+25*x^4+56*x^3+20*x^2+15*x+5", "y^2=64*x^6+57*x^5+7*x^4+23*x^3+39*x^2+18*x+1", "y^2=49*x^6+32*x^5+29*x^4+64*x^3+26*x^2+10*x+50", "y^2=68*x^6+43*x^5+2*x^4+15*x^3+65*x^2+40", "y^2=45*x^6+44*x^5+2*x^4+69*x^3+36*x^2+24*x+39", "y^2=25*x^6+12*x^5+33*x^4+43*x^3+41*x^2+70*x+43", "y^2=39*x^6+63*x^5+43*x^4+45*x^3+6*x^2+37*x+41", "y^2=5*x^6+19*x^5+30*x^4+22*x^3+68*x^2+47*x+28", "y^2=64*x^6+17*x^5+28*x^4+67*x^3+24*x^2+56*x+42", "y^2=38*x^6+16*x^5+61*x^4+27*x^2+3*x+1", "y^2=34*x^6+34*x^5+26*x^4+57*x^3+55*x^2+51*x+19", "y^2=33*x^6+26*x^5+4*x^4+15*x^3+42*x^2+25*x+31", "y^2=67*x^6+12*x^5+53*x^4+25*x^3+17*x^2+50*x+44", "y^2=12*x^6+7*x^5+40*x^4+12*x^3+66*x^2+48*x+41", "y^2=33*x^6+40*x^5+59*x^4+27*x^3+48*x^2+x+64", "y^2=39*x^6+6*x^5+65*x^4+19*x^3+35*x^2+25*x+50", "y^2=70*x^6+20*x^5+38*x^4+28*x^3+69*x^2+53*x+53", "y^2=18*x^6+16*x^5+37*x^4+22*x^3+58*x^2+44*x+28", "y^2=x^6+19*x^5+8*x^4+35*x^3+52*x^2+63*x+28", "y^2=46*x^6+5*x^5+18*x^4+39*x^3+66*x^2+16*x+55", "y^2=42*x^6+45*x^5+52*x^4+37*x^3+20*x^2+19*x+40", "y^2=14*x^6+37*x^5+38*x^4+44*x^3+6*x^2+48*x+67", "y^2=37*x^6+51*x^5+60*x^4+10*x^3+34*x^2+42*x+49", "y^2=36*x^6+24*x^5+36*x^4+50*x^3+16*x^2+56*x+24", "y^2=34*x^6+15*x^5+48*x^4+14*x^3+x^2+52*x+70", "y^2=64*x^6+38*x^5+51*x^4+37*x^3+15*x^2+28*x+35", "y^2=20*x^6+39*x^5+45*x^4+69*x^3+49*x^2+14*x+69", "y^2=48*x^6+38*x^5+6*x^4+x^3+66*x^2+15*x+38", "y^2=10*x^6+48*x^5+49*x^4+44*x^3+58*x+30", "y^2=23*x^6+65*x^5+17*x^4+16*x^3+52*x^2+28*x+49", "y^2=69*x^6+12*x^5+18*x^4+4*x^3+49*x^2+5*x+51", "y^2=2*x^6+17*x^5+40*x^4+14*x^3+17*x^2+38*x+62", "y^2=59*x^6+70*x^5+64*x^4+70*x^3+58*x^2+28*x+56", "y^2=51*x^6+61*x^5+53*x^4+35*x^3+27*x^2+46*x+16", "y^2=41*x^6+33*x^5+12*x^4+24*x^3+37*x+49", "y^2=33*x^6+61*x^5+50*x^4+36*x^3+2*x^2+27*x+24", "y^2=42*x^6+30*x^4+24*x^3+13*x^2+8*x+55", "y^2=7*x^6+58*x^5+16*x^4+55*x^3+35*x^2+8*x+22", "y^2=50*x^6+24*x^5+43*x^4+61*x^3+6*x^2+45*x+63", "y^2=44*x^6+6*x^5+4*x^4+50*x^3+56*x^2+18*x+10", "y^2=15*x^6+42*x^5+57*x^4+15*x^3+14*x^2+33*x+59", "y^2=34*x^6+35*x^5+51*x^4+66*x^3+26*x^2+2*x+59", "y^2=25*x^6+35*x^5+36*x^4+53*x^3+29*x^2+63*x+51", "y^2=38*x^6+17*x^5+46*x^4+43*x^3+2*x^2+43*x+50", "y^2=60*x^6+28*x^5+47*x^4+65*x^3+38*x^2+45*x+51", "y^2=6*x^6+7*x^5+28*x^4+12*x^3+13*x^2+62*x+69", "y^2=63*x^6+68*x^5+28*x^4+70*x^3+23*x^2+34*x+48", "y^2=33*x^6+56*x^5+6*x^4+26*x^3+67*x^2+8*x+25", "y^2=58*x^6+19*x^5+51*x^4+55*x^3+56*x^2+3*x+25", "y^2=42*x^6+37*x^5+53*x^4+9*x^3+64*x^2+36*x+17", "y^2=36*x^6+56*x^5+36*x^4+62*x^3+4*x^2+66*x+48", "y^2=14*x^6+31*x^5+25*x^4+10*x^3+2*x^2+4*x+51", "y^2=11*x^6+31*x^5+24*x^4+23*x^3+12*x^2+5*x+67", "y^2=39*x^6+5*x^5+45*x^4+30*x^3+37*x^2+12*x+38", "y^2=60*x^6+38*x^5+46*x^4+20*x^3+67*x^2+33*x+8", "y^2=46*x^6+63*x^5+45*x^3+48*x^2+27*x+56", "y^2=4*x^6+9*x^5+46*x^4+25*x^3+55*x^2+53*x+15", "y^2=39*x^6+10*x^5+62*x^4+3*x^3+61*x^2+44*x+30", "y^2=60*x^6+24*x^5+35*x^4+x^3+43*x^2+11*x+9", "y^2=40*x^6+22*x^5+7*x^4+17*x^3+4*x^2+x+36", "y^2=8*x^6+49*x^5+43*x^4+16*x^3+69*x^2+12*x+42", "y^2=37*x^6+59*x^5+35*x^3+26*x^2+70*x+50", "y^2=54*x^6+12*x^5+23*x^4+54*x^3+30*x^2+41*x+31", "y^2=39*x^6+41*x^5+19*x^4+7*x^3+x^2+32*x+54", "y^2=25*x^6+5*x^5+31*x^4+55*x^3+53*x^2+37*x+2", "y^2=20*x^6+39*x^5+19*x^4+45*x^3+16*x^2+22*x+50", "y^2=19*x^6+35*x^5+45*x^4+49*x^3+43*x^2+34*x+30", "y^2=57*x^6+15*x^5+19*x^4+65*x^3+68*x^2+63*x+56", "y^2=6*x^6+20*x^5+69*x^4+21*x^3+56*x^2+13*x+36", "y^2=45*x^6+58*x^5+4*x^4+53*x^3+46*x^2+25*x+51", "y^2=49*x^6+8*x^5+29*x^4+10*x^3+67*x^2+20*x+52", "y^2=30*x^6+61*x^5+33*x^4+34*x^3+52*x^2+7*x+14", "y^2=55*x^6+48*x^5+60*x^4+23*x^3+11*x^2+14*x+70", "y^2=59*x^6+69*x^5+36*x^4+37*x^3+10*x^2+40*x+66", "y^2=64*x^6+49*x^5+3*x^4+11*x^3+18*x^2+59*x+16", "y^2=2*x^6+7*x^5+15*x^4+35*x^3+65*x^2+47*x+33", "y^2=14*x^6+30*x^5+37*x^4+54*x^3+6*x^2+2*x+42", "y^2=61*x^6+6*x^5+18*x^4+26*x^3+38*x^2+16*x+3", "y^2=60*x^6+46*x^5+45*x^4+49*x^3+26*x^2+8*x+18", "y^2=19*x^6+60*x^5+33*x^4+58*x^3+37*x^2+39*x+22", "y^2=16*x^6+40*x^5+58*x^4+15*x^3+27*x^2+32*x+35", "y^2=34*x^6+19*x^5+69*x^4+10*x^3+62*x^2+29*x+23", "y^2=45*x^6+30*x^5+19*x^4+28*x^3+35*x^2+33*x+13", "y^2=36*x^6+29*x^5+66*x^4+33*x^3+63*x^2+50*x+68", "y^2=57*x^6+54*x^5+43*x^4+24*x^3+9*x^2+63*x+18", "y^2=55*x^6+60*x^5+49*x^4+2*x^3+28*x^2+15*x+70", "y^2=67*x^6+2*x^5+10*x^4+53*x^3+37*x^2+45*x+68", "y^2=32*x^6+51*x^5+31*x^4+27*x^3+31*x^2+27*x+54", "y^2=34*x^6+32*x^5+15*x^4+45*x^3+66*x^2+66*x+17", "y^2=62*x^6+16*x^5+50*x^4+18*x^3+35*x^2+4*x+24", "y^2=41*x^6+36*x^5+39*x^4+11*x^3+35*x^2+10*x+1"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": ["4T3"], "geometric_number_fields": ["4.0.2754576.4"], "geometric_splitting_field": "4.0.2754576.4", "geometric_splitting_polynomials": [[1261, -90, 85, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 100, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 100, "label": "2.71.am_dz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.2754576.4"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -12, 103, -852, 5041], "poly_str": "1 -12 103 -852 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, -12, -39], "simple_distinct": ["2.71.am_dz"], "simple_factors": ["2.71.am_dzA"], "simple_multiplicities": [1], "singular_primes": ["5,2*F^2+7*F-V+13"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2754576.4", "splitting_polynomials": [[1261, -90, 85, 0, 1]], "twist_count": 2, "twists": [["2.71.m_dz", "2.5041.ck_jj", 2]], "weak_equivalence_count": 2, "zfv_index": 25, "zfv_index_factorization": [[5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 5, "zfv_plus_index_factorization": [[5, 1]], "zfv_plus_norm": 19129, "zfv_singular_count": 2, "zfv_singular_primes": ["5,2*F^2+7*F-V+13"]}