# Stored data for abelian variety isogeny class 2.67.c_dh, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 4711, "abvar_counts": [4711, 20912129, 90427814596, 406143846854921, 1822796925432529711, 8182629138854380912016, 36732252442019437844603671, 164890984113321480164491904969, 740195507365815177416264629063204, 3322737659918198050562466189983609649], "abvar_counts_str": "4711 20912129 90427814596 406143846854921 1822796925432529711 8182629138854380912016 36732252442019437844603671 164890984113321480164491904969 740195507365815177416264629063204 3322737659918198050562466189983609649 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.379066571633306, 0.664106673880134], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 70, "curve_counts": [70, 4656, 300664, 20154900, 1350094830, 90457389822, 6060716106298, 406067740002084, 27206534157713848, 1822837803572580736], "curve_counts_str": "70 4656 300664 20154900 1350094830 90457389822 6060716106298 406067740002084 27206534157713848 1822837803572580736 ", "curves": ["y^2=42*x^6+57*x^5+13*x^4+6*x^3+36*x^2+4*x+8", "y^2=50*x^6+26*x^5+66*x^4+18*x^3+37*x^2+64*x+41", "y^2=8*x^6+2*x^5+46*x^4+61*x^3+50*x^2+59*x+23", "y^2=19*x^6+14*x^4+49*x^3+44*x^2+11*x+39", "y^2=9*x^6+30*x^5+25*x^4+13*x^3+50*x^2+13*x+8", "y^2=25*x^6+60*x^5+18*x^4+54*x^3+45*x^2+55*x+8", "y^2=5*x^6+44*x^5+49*x^4+58*x^3+36*x^2+56*x+65", "y^2=55*x^6+26*x^5+11*x^4+4*x^3+47*x^2+50*x+65", "y^2=15*x^6+48*x^5+x^4+28*x^3+65*x^2+52*x+3", "y^2=64*x^6+61*x^5+50*x^4+66*x^3+53*x^2+52*x+15", "y^2=6*x^6+24*x^5+24*x^4+37*x^3+42*x^2+38*x+43", "y^2=24*x^6+39*x^5+36*x^4+45*x^3+53*x^2+9*x+26", "y^2=37*x^6+28*x^5+11*x^4+12*x^3+38*x^2+51*x+63", "y^2=62*x^6+18*x^5+30*x^4+27*x^3+44*x^2+11*x+25", "y^2=x^6+44*x^5+45*x^4+7*x^3+3*x^2+33*x+20", "y^2=22*x^6+32*x^5+45*x^4+27*x^3+53*x^2+2*x+23", "y^2=51*x^6+47*x^5+28*x^4+31*x^3+5*x^2+27*x+50", "y^2=10*x^6+39*x^5+55*x^4+42*x^3+57*x^2+60*x+65", "y^2=40*x^6+13*x^5+33*x^4+16*x^3+19*x^2+8*x+21", "y^2=47*x^6+28*x^5+44*x^4+35*x^3+36*x^2+46*x+37", "y^2=13*x^6+34*x^5+31*x^4+14*x^3+41*x^2+44*x+18", "y^2=17*x^6+26*x^5+31*x^4+42*x^3+48*x^2+14*x+66", "y^2=22*x^6+26*x^5+32*x^4+35*x^3+6*x^2+39*x+65", "y^2=13*x^6+19*x^5+52*x^4+16*x^3+7*x^2+5*x+55", "y^2=61*x^6+43*x^5+44*x^4+35*x^3+47*x^2+47*x+21", "y^2=65*x^6+40*x^5+56*x^4+3*x^3+9*x^2+26*x+21", "y^2=66*x^6+x^5+48*x^4+46*x^3+45*x^2+51*x+41", "y^2=47*x^6+59*x^5+43*x^4+63*x^3+63*x^2+40", "y^2=64*x^6+47*x^5+65*x^4+50*x^3+37*x^2+27*x+26", "y^2=6*x^6+44*x^5+22*x^4+46*x^3+49*x^2+2*x+6", "y^2=27*x^6+6*x^5+64*x^4+52*x^3+61*x^2+38*x+18", "y^2=15*x^6+63*x^5+44*x^4+58*x^3+27*x^2+54*x+63", "y^2=14*x^6+x^5+33*x^4+63*x^3+62*x^2+24*x+38", "y^2=42*x^6+48*x^5+66*x^4+8*x^3+34*x^2+66*x+64", "y^2=60*x^6+45*x^5+39*x^4+13*x^3+37*x^2+9*x+16", "y^2=14*x^6+43*x^5+47*x^4+33*x^3+9*x^2+29*x+52", "y^2=19*x^6+31*x^5+5*x^4+x^3+32*x^2+22*x+28", "y^2=11*x^6+55*x^5+54*x^4+43*x^3+11*x^2+21*x+36", "y^2=3*x^6+26*x^5+41*x^4+54*x^3+60*x^2+49*x+65", "y^2=11*x^6+59*x^5+7*x^4+28*x^3+62*x^2+24*x+45", "y^2=13*x^6+27*x^5+39*x^4+60*x^3+64*x^2+21*x+22", "y^2=42*x^6+55*x^5+52*x^4+66*x^3+24*x^2+20*x+49", "y^2=27*x^6+56*x^5+58*x^4+49*x^3+66*x^2+31*x+9", "y^2=44*x^6+18*x^5+14*x^3+48*x^2+30*x+20", "y^2=32*x^6+14*x^5+41*x^4+38*x^3+30*x^2+17*x+35", "y^2=10*x^6+66*x^5+40*x^4+29*x^2+5*x+34", "y^2=60*x^6+11*x^5+59*x^4+24*x^3+15*x^2+39*x+12", "y^2=27*x^6+50*x^5+25*x^4+8*x^3+3*x^2+9*x+63", "y^2=49*x^6+63*x^5+4*x^4+62*x^3+22*x^2+28*x+28", "y^2=56*x^6+53*x^5+3*x^4+45*x^3+27*x^2+40*x+30", "y^2=26*x^6+21*x^5+25*x^4+51*x^3+60*x^2+57*x+36", "y^2=8*x^6+34*x^5+26*x^4+34*x^3+63*x^2+7*x+14", "y^2=46*x^6+3*x^5+49*x^3+62*x^2+29*x+52", "y^2=23*x^6+42*x^5+22*x^4+15*x^3+37*x^2+58*x+65", "y^2=9*x^6+60*x^5+45*x^4+26*x^3+26*x^2+44*x+4", "y^2=50*x^6+33*x^5+54*x^4+26*x^3+26*x^2+53*x+33", "y^2=41*x^6+56*x^5+10*x^4+45*x^3+50*x^2+55*x+12", "y^2=55*x^6+64*x^5+59*x^4+3*x^3+2*x^2+43*x+51", "y^2=16*x^6+63*x^5+3*x^4+66*x^3+23*x^2+6*x+49", "y^2=56*x^6+37*x^5+35*x^4+2*x^3+39*x^2+44*x+30", "y^2=42*x^6+51*x^5+35*x^4+35*x^3+8*x^2+31*x+42", "y^2=46*x^6+16*x^5+46*x^4+46*x^3+7*x^2+6*x+61", "y^2=44*x^6+64*x^5+53*x^4+52*x^3+4*x^2+23*x+39", "y^2=44*x^6+35*x^5+57*x^4+40*x^3+23*x^2+53*x+5", "y^2=3*x^6+64*x^5+48*x^4+16*x^3+61*x^2+56*x+16", "y^2=8*x^6+28*x^5+64*x^4+3*x^3+47*x^2+21*x+34", "y^2=42*x^6+5*x^5+49*x^4+22*x^3+2*x^2+61*x+17", "y^2=x^6+65*x^5+32*x^4+10*x^3+5*x^2+51*x+62", "y^2=61*x^6+32*x^5+16*x^4+47*x^3+59*x^2+24*x+40", "y^2=6*x^6+21*x^5+45*x^4+38*x^3+5*x^2+42*x+60", "y^2=16*x^6+34*x^5+51*x^4+57*x^3+9*x^2+32*x+25", "y^2=52*x^6+28*x^5+20*x^4+17*x^3+42*x^2+14*x+63", "y^2=53*x^6+20*x^5+29*x^4+35*x^3+59*x^2+39*x+9", "y^2=52*x^6+41*x^5+15*x^4+4*x^3+56*x^2+13*x+35", "y^2=12*x^6+37*x^5+50*x^4+6*x^3+34*x^2+54*x+37", "y^2=12*x^6+51*x^5+46*x^4+62*x^3+11*x^2+43*x+35", "y^2=30*x^6+51*x^5+48*x^4+13*x^3+33*x^2+31*x+60", "y^2=55*x^6+43*x^5+65*x^4+8*x^3+23*x^2+44*x+7", "y^2=25*x^6+28*x^5+6*x^4+19*x^3+18*x^2+52*x+61", "y^2=30*x^6+34*x^5+38*x^4+28*x^3+35*x^2+39*x+45", "y^2=59*x^6+58*x^5+22*x^4+7*x^3+61*x^2+51*x+34", "y^2=11*x^6+29*x^5+39*x^4+41*x^3+15*x^2+22*x+2", "y^2=36*x^6+47*x^5+42*x^4+45*x^2+12*x+57", "y^2=57*x^6+13*x^5+38*x^4+49*x^3+34*x^2+31*x+14", "y^2=6*x^6+57*x^5+44*x^4+37*x^3+41*x^2+45*x+7", "y^2=4*x^6+18*x^5+25*x^4+53*x^3+34*x^2+36*x+6", "y^2=35*x^6+58*x^5+51*x^4+56*x^3+48*x^2+11*x+50", "y^2=45*x^6+44*x^5+45*x^4+35*x^3+29*x^2+19*x+23", "y^2=36*x^6+22*x^5+35*x^4+48*x^3+x^2+39*x+31", "y^2=61*x^6+x^5+4*x^4+47*x^3+55*x^2+31*x+14", "y^2=58*x^6+4*x^5+3*x^4+29*x^3+6*x^2+60*x+30", "y^2=45*x^6+8*x^5+22*x^4+41*x^3+50*x^2+23*x+57", "y^2=17*x^6+11*x^5+43*x^4+15*x^3+28*x^2+23*x+66", "y^2=53*x^6+23*x^5+57*x^4+33*x^3+55*x^2+57*x+43", "y^2=49*x^6+45*x^5+51*x^4+52*x^3+25*x^2+15*x+59", "y^2=35*x^6+20*x^5+37*x^4+11*x^3+60*x^2+59*x+33", "y^2=9*x^6+29*x^5+59*x^4+63*x^3+40*x^2+4*x+49", "y^2=62*x^6+21*x^5+19*x^4+22*x^3+46*x^2+7*x+39", "y^2=12*x^6+x^5+33*x^4+53*x^3+27*x^2+34*x+42", "y^2=24*x^6+26*x^5+50*x^4+62*x^3+47*x^2+56*x+6", "y^2=12*x^6+51*x^5+64*x^4+43*x^3+34*x^2+12*x+57", "y^2=48*x^6+19*x^5+56*x^4+17*x^3+56*x^2+26*x+6", "y^2=32*x^6+29*x^5+44*x^4+53*x^3+25*x^2+20*x+23", "y^2=39*x^6+3*x^5+42*x^4+6*x^3+61*x^2+3*x+65", "y^2=20*x^6+56*x^5+3*x^4+4*x^3+13*x^2+37*x+39"], "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": ["4.0.3000896.2"], "geometric_splitting_field": "4.0.3000896.2", "geometric_splitting_polynomials": [[3007, -98, 109, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 105, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 105, "label": "2.67.c_dh", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.3000896.2"], "p": 67, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 56], [1, 17, 1, 24]], "poly": [1, 2, 85, 134, 4489], "poly_str": "1 2 85 134 4489 ", "primitive_models": [], "principal_polarization_count": 105, "q": 67, "real_poly": [1, 2, -49], "simple_distinct": ["2.67.c_dh"], "simple_factors": ["2.67.c_dhA"], "simple_multiplicities": [1], "singular_primes": ["5,7*F+12*V+37"], "size": 189, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3000896.2", "splitting_polynomials": [[3007, -98, 109, -2, 1]], "twist_count": 2, "twists": [["2.67.ac_dh", "2.4489.gk_xep", 2]], "weak_equivalence_count": 2, "zfv_index": 25, "zfv_index_factorization": [[5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 168, "zfv_plus_index": 5, "zfv_plus_index_factorization": [[5, 1]], "zfv_plus_norm": 46889, "zfv_singular_count": 2, "zfv_singular_primes": ["5,7*F+12*V+37"]}