# Stored data for abelian variety isogeny class 2.71.a_acc, downloaded from the LMFDB on 06 June 2026.
{"abvar_count": 4988, "abvar_counts": [4988, 24880144, 128100943100, 646117833647104, 3255243547658442428, 16409851623109437610000, 82721210695577594516905148, 416997622434205038544983834624, 2102085018129621344876490980315900, 10596610554571922139069570662990535184], "abvar_counts_str": "4988 24880144 128100943100 646117833647104 3255243547658442428 16409851623109437610000 82721210695577594516905148 416997622434205038544983834624 2102085018129621344876490980315900 10596610554571922139069570662990535184 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.187913521440082, 0.812086478559918], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 72, "curve_counts": [72, 4934, 357912, 25426014, 1804229352, 128101602278, 9095120158392, 645753530189374, 45848500718449032, 3255243544307003654], "curve_counts_str": "72 4934 357912 25426014 1804229352 128101602278 9095120158392 645753530189374 45848500718449032 3255243544307003654 ", "curves": ["y^2=22*x^6+15*x^5+27*x^4+24*x^3+17*x^2+32*x+27", "y^2=12*x^6+34*x^5+47*x^4+26*x^3+48*x^2+11*x+47", "y^2=8*x^6+63*x^5+4*x^4+39*x^3+41*x^2+47*x+33", "y^2=31*x^6+37*x^5+22*x^4+58*x^3+2*x^2+40*x+47", "y^2=4*x^6+46*x^5+12*x^4+51*x^3+14*x^2+67*x+45", "y^2=21*x^6+37*x^5+5*x^4+7*x^3+13*x^2+57*x+30", "y^2=57*x^6+69*x^5+56*x^4+51*x^3+30*x^2+63*x+41", "y^2=40*x^6+57*x^5+22*x^4+25*x^3+65*x^2+38*x+1", "y^2=67*x^6+44*x^5+12*x^4+33*x^3+29*x^2+53*x+7", "y^2=6*x^6+26*x^5+54*x^4+62*x^3+28*x^2+44*x+35", "y^2=5*x^6+66*x^5+29*x^4+14*x^3+29*x^2+66*x+5", "y^2=35*x^6+36*x^5+61*x^4+27*x^3+61*x^2+36*x+35", "y^2=58*x^6+60*x^5+59*x^4+44*x^3+3*x^2+57*x+59", "y^2=55*x^6+8*x^5+22*x^4+49*x^3+20*x^2+16*x+29", "y^2=49*x^6+57*x^5+70*x^4+25*x^3+19*x^2+58*x+23", "y^2=5*x^6+52*x^5+68*x^4+45*x^3+64*x^2+7*x+53", "y^2=64*x^6+34*x^5+11*x^4+29*x^3+18*x^2+49*x+64", "y^2=22*x^6+25*x^5+6*x^4+61*x^3+55*x^2+59*x+22", "y^2=41*x^6+34*x^5+56*x^4+29*x^3+47*x^2+37*x+23", "y^2=3*x^6+25*x^5+37*x^4+61*x^3+45*x^2+46*x+19", "y^2=55*x^6+39*x^5+53*x^4+25*x^3+38*x^2+66*x+25", "y^2=17*x^6+31*x^5+70*x^4+58*x^3+40*x^2+44*x+58", "y^2=48*x^6+4*x^5+64*x^4+51*x^3+67*x^2+24*x+51", "y^2=67*x^6+29*x^5+41*x^4+38*x^3+19*x^2+49*x+44", "y^2=43*x^6+61*x^5+3*x^4+53*x^3+62*x^2+59*x+24", "y^2=17*x^6+35*x^5+33*x^4+66*x^3+40*x^2+70*x+41", "y^2=48*x^6+32*x^5+18*x^4+36*x^3+67*x^2+64*x+3", "y^2=45*x^6+63*x^5+9*x^4+43*x^3+55*x^2+65*x+11", "y^2=13*x^6+59*x^5+29*x^4+56*x^3+44*x^2+53*x+10", "y^2=x^6+68*x^5+5*x^4+69*x^3+62*x^2+24*x+10", "y^2=7*x^6+50*x^5+35*x^4+57*x^3+8*x^2+26*x+70", "y^2=25*x^6+13*x^5+65*x^4+23*x^3+8*x^2+69*x+67", "y^2=33*x^6+20*x^5+29*x^4+19*x^3+56*x^2+57*x+43", "y^2=57*x^6+11*x^5+4*x^4+32*x^3+70*x^2+26*x+66", "y^2=44*x^6+6*x^5+28*x^4+11*x^3+64*x^2+40*x+36", "y^2=20*x^5+35*x^4+35*x^3+65*x^2+51*x+55", "y^2=69*x^5+32*x^4+32*x^3+29*x^2+2*x+30", "y^2=63*x^6+70*x^5+37*x^4+8*x^3+67*x^2+56*x+36", "y^2=70*x^6+21*x^5+20*x^4+4*x^3+53*x^2+66*x+15", "y^2=46*x^6+8*x^4+56*x^2+16", "y^2=27*x^6+34*x^4+25*x^2+31", "y^2=42*x^6+11*x^5+13*x^3+11*x+29", "y^2=56*x^6+66*x^5+25*x^4+48*x^3+52*x^2+63*x+58", "y^2=30*x^6+40*x^5+18*x^4+26*x^3+34*x^2+3*x+34", "y^2=68*x^6+67*x^5+55*x^4+40*x^3+25*x^2+21*x+25", "y^2=8*x^6+9*x^5+42*x^4+64*x^3+53*x^2+60*x+24", "y^2=56*x^6+63*x^5+10*x^4+22*x^3+16*x^2+65*x+26", "y^2=66*x^6+44*x^5+40*x^4+28*x^3+26*x^2+69*x+30", "y^2=13*x^6+6*x^5+20*x^4+25*x^3+28*x^2+43*x+5", "y^2=28*x^6+58*x^5+67*x^4+33*x^3+68*x^2+29*x+4", "y^2=54*x^6+51*x^5+43*x^4+18*x^3+50*x^2+61*x+28", "y^2=x^6+37*x^5+58*x^4+55*x^3+9*x^2+7*x+54", "y^2=7*x^6+46*x^5+51*x^4+30*x^3+63*x^2+49*x+23", "y^2=53*x^6+68*x^5+39*x^4+9*x^3+3*x^2+39*x+64", "y^2=16*x^6+50*x^5+60*x^4+63*x^3+21*x^2+60*x+22", "y^2=27*x^6+33*x^5+42*x^4+8*x^3+2*x^2+59*x+65", "y^2=34*x^6+39*x^5+25*x^4+6*x^3+47*x^2+66*x+26", "y^2=25*x^6+60*x^5+33*x^4+42*x^3+45*x^2+36*x+40", "y^2=24*x^6+15*x^5+17*x^4+5*x^3+45*x^2+40*x+65", "y^2=60*x^6+64*x^5+32*x^4+61*x^3+23*x^2+10*x+56", "y^2=65*x^6+22*x^5+11*x^4+x^3+19*x^2+70*x+37", "y^2=17*x^6+59*x^5+41*x^4+29*x^3+2*x^2+46*x+3", "y^2=48*x^6+58*x^5+3*x^4+61*x^3+14*x^2+38*x+21", "y^2=41*x^6+26*x^5+40*x^4+66*x^3+39*x^2+28*x+4", "y^2=63*x^6+25*x^5+50*x^4+14*x^3+29*x^2+38*x+65", "y^2=15*x^6+33*x^5+66*x^4+27*x^3+61*x^2+53*x+29", "y^2=40*x^6+60*x^5+41*x^4+4*x^3+67*x^2+49*x+3", "y^2=67*x^6+65*x^5+3*x^4+28*x^3+43*x^2+59*x+21", "y^2=34*x^6+55*x^5+12*x^4+2*x^3+66*x^2+13*x+30", "y^2=6*x^6+20*x^5+12*x^4+22*x^3+21*x^2+21*x+22", "y^2=42*x^6+69*x^5+13*x^4+12*x^3+5*x^2+5*x+12", "y^2=63*x^6+67*x^5+43*x^4+65*x^3+63*x^2+33*x+29", "y^2=9*x^6+45*x^5+42*x^4+48*x^3+42*x^2+45*x+9", "y^2=63*x^6+31*x^5+10*x^4+52*x^3+10*x^2+31*x+63", "y^2=47*x^6+47*x^5+14*x^4+65*x^3+58*x^2+24*x+5", "y^2=45*x^6+45*x^5+27*x^4+29*x^3+51*x^2+26*x+35", "y^2=41*x^6+25*x^5+20*x^4+63*x^3+41*x^2+3*x+48", "y^2=30*x^6+39*x^5+39*x^4+34*x^3+4*x^2+35*x+69", "y^2=67*x^6+30*x^5+37*x^4+28*x^3+39*x^2+45*x+57", "y^2=36*x^6+13*x^5+8*x^4+7*x^3+34*x^2+5*x+3", "y^2=39*x^6+20*x^5+56*x^4+49*x^3+25*x^2+35*x+21", "y^2=47*x^6+21*x^5+26*x^4+34*x^3+16*x^2+28*x+23", "y^2=45*x^6+5*x^5+40*x^4+25*x^3+41*x^2+54*x+19", "y^2=14*x^6+8*x^5+38*x^4+19*x^3+61*x^2+57*x+27", "y^2=22*x^6+24*x^5+10*x^4+47*x^3+21*x^2+32*x+19", "y^2=60*x^6+36*x^5+10*x^4+19*x^3+61*x^2+36*x+11", "y^2=2*x^6+25*x^5+66*x^4+x^3+22*x^2+20*x+57", "y^2=14*x^6+33*x^5+36*x^4+7*x^3+12*x^2+69*x+44", "y^2=62*x^6+12*x^5+2*x^4+14*x^3+6*x^2+70*x+27", "y^2=8*x^6+13*x^5+14*x^4+27*x^3+42*x^2+64*x+47", "y^2=67*x^6+55*x^5+17*x^4+70*x^3+27*x^2+67*x+36", "y^2=43*x^6+40*x^5+2*x^4+16*x^3+60*x^2+68*x+31", "y^2=17*x^6+67*x^5+14*x^4+41*x^3+65*x^2+50*x+4", "y^2=45*x^6+7*x^5+56*x^4+21*x^3+25*x^2+51*x+52", "y^2=5*x^6+46*x^5+5*x^4+15*x^3+26*x^2+34*x+47", "y^2=38*x^6+18*x^5+15*x^4+23*x^3+28*x^2+40*x+13", "y^2=49*x^6+55*x^5+42*x^4+33*x^3+25*x^2+70*x+7", "y^2=8*x^6+4*x^5+25*x^4+11*x^3+13*x^2+20*x+33", "y^2=56*x^6+28*x^5+33*x^4+6*x^3+20*x^2+69*x+18", "y^2=55*x^6+43*x^5+28*x^4+61*x^3+49*x^2+3*x+3"], "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": 10, "g": 2, "galois_groups": ["2T1", "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.88.1"], "geometric_splitting_field": "2.0.88.1", "geometric_splitting_polynomials": [[22, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 100, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 100, "label": "2.71.a_acc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.88.1", "2.0.88.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -54, 0, 5041], "poly_str": "1 0 -54 0 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, 0, -196], "simple_distinct": ["1.71.ao", "1.71.o"], "simple_factors": ["1.71.aoA", "1.71.oA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F+3", "7,-2*F-2*V"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.88.1", "splitting_polynomials": [[22, 0, 1]], "twist_count": 6, "twists": [["2.71.abc_na", "2.5041.aee_tfy", 2], ["2.71.bc_na", "2.5041.aee_tfy", 2], ["2.71.a_cc", "2.25411681.vfg_ippiio", 4], ["2.71.ao_ev", "2.128100283921.cxaga_dhzyjkdvy", 6], ["2.71.o_ev", "2.128100283921.cxaga_dhzyjkdvy", 6]], "weak_equivalence_count": 10, "zfv_index": 784, "zfv_index_factorization": [[2, 4], [7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 7744, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F+3", "7,-2*F-2*V"]}