# Stored data for abelian variety isogeny class 2.67.m_gf, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 5467, "abvar_counts": [5467, 20965945, 89961540592, 406058044617225, 1822939569867289027, 8182692208221819608320, 36732220463972109804532651, 164890958092451820762694986825, 740195515036879987908113763889648, 3322737664785206218293247569148309225], "abvar_counts_str": "5467 20965945 89961540592 406058044617225 1822939569867289027 8182692208221819608320 36732220463972109804532651 164890958092451820762694986825 740195515036879987908113763889648 3322737664785206218293247569148309225 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.558663130524899, 0.685281783202145], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 4668, 299108, 20150644, 1350200480, 90458087046, 6060710830016, 406067675921956, 27206534439670556, 1822837806242597868], "curve_counts_str": "80 4668 299108 20150644 1350200480 90458087046 6060710830016 406067675921956 27206534439670556 1822837806242597868 ", "curves": ["y^2=14*x^6+38*x^5+11*x^4+22*x^3+32*x^2+63*x+22", "y^2=24*x^6+24*x^5+42*x^4+10*x^3+38*x^2+16*x+40", "y^2=22*x^6+66*x^5+40*x^4+60*x^3+56*x^2+24*x+53", "y^2=52*x^6+52*x^5+32*x^4+19*x^3+37*x^2+28*x+51", "y^2=64*x^6+61*x^5+12*x^4+45*x^3+55*x^2+32*x+59", "y^2=22*x^6+11*x^5+31*x^4+23*x^3+28*x^2+5*x+22", "y^2=33*x^6+27*x^5+17*x^4+45*x^2+20*x+8", "y^2=57*x^6+25*x^5+20*x^4+45*x^3+44*x^2+62", "y^2=33*x^6+60*x^5+59*x^4+42*x^3+31*x^2+41*x+35", "y^2=9*x^6+60*x^5+54*x^4+53*x^3+15*x^2+57*x+44", "y^2=20*x^6+15*x^5+28*x^4+16*x^3+41*x^2+29*x+63", "y^2=56*x^6+32*x^5+19*x^4+10*x^3+36*x^2+18*x+38", "y^2=40*x^6+66*x^5+44*x^4+40*x^3+2*x^2+7*x+11", "y^2=23*x^6+9*x^5+21*x^4+58*x^3+59*x^2+56*x+10", "y^2=57*x^6+4*x^4+58*x^3+56*x^2+30", "y^2=22*x^6+32*x^5+45*x^4+39*x^3+41*x^2+3*x+9", "y^2=5*x^6+14*x^5+44*x^4+64*x^3+53*x^2+13*x+26", "y^2=60*x^6+58*x^5+61*x^4+46*x^3+33*x^2+62*x+36", "y^2=11*x^6+64*x^5+38*x^4+14*x^3+32*x^2+22*x+12", "y^2=56*x^6+23*x^5+53*x^4+4*x^3+37*x^2+60*x+63", "y^2=25*x^6+21*x^5+x^4+17*x^3+25*x^2+66*x+9", "y^2=46*x^6+11*x^5+39*x^4+7*x^3+47*x^2+48*x+32", "y^2=65*x^6+11*x^5+64*x^4+45*x^3+56*x^2+66*x+23", "y^2=31*x^6+33*x^5+62*x^4+65*x^3+24*x^2+8*x+40", "y^2=43*x^6+60*x^5+33*x^4+18*x^3+58*x^2+39*x+46", "y^2=43*x^6+43*x^5+24*x^4+32*x^3+53*x^2+21*x+56", "y^2=34*x^6+45*x^5+35*x^4+x^3+66*x^2+4*x+34", "y^2=35*x^6+59*x^5+58*x^4+45*x^3+46*x^2+65*x+63", "y^2=9*x^6+61*x^5+30*x^4+43*x^3+43*x^2+12*x+36", "y^2=44*x^6+63*x^5+34*x^4+65*x^3+66*x^2+51*x+50", "y^2=60*x^6+9*x^5+23*x^4+57*x^3+21*x^2+36*x+56", "y^2=52*x^6+27*x^5+11*x^4+34*x^3+60*x^2+17*x+63", "y^2=38*x^6+26*x^5+49*x^4+23*x^3+20*x^2+4*x+36", "y^2=24*x^6+57*x^5+25*x^4+40*x^3+45*x^2+45*x+26", "y^2=21*x^6+38*x^5+66*x^4+2*x^3+14*x^2+47*x+32", "y^2=59*x^6+5*x^5+58*x^4+50*x^3+30*x^2+36*x+22", "y^2=9*x^6+19*x^5+36*x^4+56*x^3+14*x^2+8", "y^2=40*x^6+47*x^5+66*x^4+12*x^3+13*x^2+37*x+24", "y^2=24*x^6+55*x^5+59*x^4+35*x^3+41*x^2+6*x+28", "y^2=42*x^6+42*x^5+36*x^4+54*x^3+31*x^2+3*x+11", "y^2=59*x^6+12*x^5+5*x^4+7*x^3+x^2+29*x+56", "y^2=42*x^6+42*x^5+4*x^4+35*x^3+3*x^2+38*x+28", "y^2=49*x^6+26*x^5+44*x^4+34*x^3+51*x^2+47*x+19", "y^2=62*x^6+66*x^5+4*x^4+23*x^3+45*x^2+45*x+5", "y^2=58*x^6+64*x^4+44*x^3+11*x^2+9*x+65", "y^2=29*x^6+7*x^5+4*x^4+54*x^3+10*x^2+29*x+52", "y^2=42*x^6+43*x^5+48*x^4+45*x^3+49*x^2+45*x+22", "y^2=14*x^6+24*x^5+18*x^4+62*x^3+59*x^2+59*x+4", "y^2=9*x^6+29*x^5+10*x^4+66*x^2+26*x+20", "y^2=6*x^6+43*x^5+6*x^4+64*x^3+47*x^2+30*x+9", "y^2=52*x^6+35*x^5+19*x^4+47*x^3+55*x^2+x+33", "y^2=47*x^6+45*x^5+59*x^4+48*x^3+23*x^2+38*x+56", "y^2=16*x^6+37*x^5+37*x^4+10*x^3+43*x^2+23*x+62", "y^2=36*x^6+56*x^5+28*x^4+30*x^3+53*x^2+14*x+29", "y^2=16*x^6+14*x^5+19*x^4+14*x^3+46*x^2+32*x+43", "y^2=14*x^6+4*x^5+38*x^4+66*x^3+48*x^2+58*x+61", "y^2=6*x^6+44*x^5+50*x^4+40*x^3+27*x^2+53*x+16", "y^2=12*x^6+55*x^5+23*x^4+59*x^3+40*x^2+46*x+21", "y^2=63*x^6+64*x^5+66*x^4+23*x^3+45*x^2+56*x+34", "y^2=64*x^6+27*x^5+51*x^4+41*x^3+30*x^2+52*x+22", "y^2=41*x^6+25*x^5+32*x^4+50*x^3+40*x^2+46*x+55", "y^2=12*x^6+12*x^5+9*x^4+66*x^3+22*x^2+39*x+13", "y^2=25*x^6+53*x^5+5*x^4+22*x^3+7*x^2+61*x+15", "y^2=58*x^6+4*x^5+65*x^4+58*x^3+14*x^2+62*x+5", "y^2=4*x^6+15*x^5+19*x^4+43*x^3+36*x^2+41*x+22", "y^2=54*x^6+2*x^5+46*x^4+56*x^3+13*x^2+34*x+8", "y^2=31*x^6+3*x^5+56*x^4+61*x^3+49*x^2+26*x+23", "y^2=22*x^6+40*x^5+14*x^4+39*x^3+34*x^2+9*x+7", "y^2=31*x^6+36*x^5+31*x^4+2*x^3+62*x^2+2*x+54", "y^2=3*x^6+9*x^5+49*x^4+53*x^3+27*x^2+53*x+65", "y^2=29*x^6+38*x^5+35*x^4+53*x^3+15*x^2+48*x+56", "y^2=62*x^6+27*x^5+13*x^4+8*x^3+32*x^2+7*x+64", "y^2=66*x^6+42*x^5+19*x^4+6*x^3+18*x^2+29*x+65", "y^2=4*x^6+39*x^5+44*x^4+5*x^3+23*x^2+59*x+59", "y^2=42*x^6+59*x^5+6*x^4+32*x^3+44*x^2+44*x+26", "y^2=49*x^6+38*x^5+47*x^4+19*x^3+19*x^2+4*x+64", "y^2=42*x^6+45*x^5+50*x^4+43*x^3+61*x^2+39*x+35", "y^2=63*x^6+21*x^5+9*x^4+60*x^3+22*x^2+56*x+31", "y^2=52*x^6+61*x^5+64*x^3+13*x+3", "y^2=64*x^6+49*x^5+51*x^4+34*x^2+51*x+47", "y^2=53*x^6+38*x^5+45*x^4+33*x^3+7*x^2+8*x+58", "y^2=66*x^6+34*x^4+61*x^2+47*x+41", "y^2=33*x^6+17*x^5+32*x^4+48*x^3+44*x^2+52*x+15", "y^2=5*x^6+4*x^5+54*x^4+20*x^3+61*x^2+55*x+18", "y^2=17*x^6+5*x^5+46*x^4+14*x^3+63*x^2+53*x+61", "y^2=43*x^6+38*x^5+38*x^4+61*x^3+27*x^2+48*x+27", "y^2=14*x^6+7*x^5+55*x^4+30*x^3+49*x^2+66*x+64", "y^2=33*x^6+8*x^5+48*x^4+4*x^3+53*x^2+50*x+55"], "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": 4, "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": ["2.0.259.1", "2.0.187.1"], "geometric_splitting_polynomials": [[324, 0, 223, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 88, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 88, "label": "2.67.m_gf", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.259.1", "2.0.187.1"], "p": 67, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 12], [1, 7, 1, 2], [2, 7, 1, 12], [1, 11, 1, 12]], "poly": [1, 12, 161, 804, 4489], "poly_str": "1 12 161 804 4489 ", "primitive_models": [], "principal_polarization_count": 96, "q": 67, "real_poly": [1, 12, 27], "simple_distinct": ["1.67.d", "1.67.j"], "simple_factors": ["1.67.dA", "1.67.jA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-F^2-V-92", "3,-F^2-28*F-V-97"], "size": 160, "slopes": ["0A", "0B", "1A", "1B"], "splitting_polynomials": [[324, 0, 223, 0, 1]], "twist_count": 4, "twists": [["2.67.am_gf", "2.4489.gw_xcd", 2], ["2.67.ag_ed", "2.4489.gw_xcd", 2], ["2.67.g_ed", "2.4489.gw_xcd", 2]], "weak_equivalence_count": 4, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 96, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 48433, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-F^2-V-92", "3,-F^2-28*F-V-97"]}