# Stored data for abelian variety isogeny class 2.37.o_dz, downloaded from the LMFDB on 03 September 2025.
{"abvar_count": 2005, "abvar_counts": [2005, 1886705, 2564346880, 3507960040025, 4809439769435125, 6583149008869867520, 9011960997321193344205, 12337525257945286538794025, 16890053678116979603614151680, 23122483979945479924713717632625], "abvar_counts_str": "2005 1886705 2564346880 3507960040025 4809439769435125 6583149008869867520 9011960997321193344205 12337525257945286538794025 16890053678116979603614151680 23122483979945479924713717632625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.566626788044867, 0.892012654626635], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 52, "curve_counts": [52, 1380, 50626, 1871748, 69356292, 2565803190, 94930820596, 3512483252868, 129961738775962, 4808584437568900], "curve_counts_str": "52 1380 50626 1871748 69356292 2565803190 94930820596 3512483252868 129961738775962 4808584437568900 ", "curves": ["y^2=11*x^6+36*x^5+x^4+x^3+35*x^2+3", "y^2=29*x^6+11*x^5+7*x^4+19*x^3+17*x^2+6*x+25", "y^2=3*x^6+32*x^5+20*x^4+34*x^3+20*x^2+24*x+9", "y^2=2*x^6+9*x^5+17*x^4+16*x^3+19*x+27", "y^2=6*x^6+10*x^5+4*x^4+31*x^3+21*x^2+8*x+28", "y^2=9*x^6+5*x^5+20*x^4+19*x^3+30*x^2+29*x+19", "y^2=26*x^6+33*x^5+23*x^4+3*x^3+34*x^2+10*x+7", "y^2=25*x^6+17*x^5+19*x^4+28*x^3+14*x^2+32*x+12", "y^2=18*x^6+23*x^5+8*x^3+28*x^2+12*x+31", "y^2=21*x^6+28*x^5+35*x^4+13*x^3+36*x^2+x+3", "y^2=36*x^6+20*x^5+4*x^4+25*x^3+9*x^2+7", "y^2=19*x^6+26*x^5+11*x^4+x^3+9*x^2+20*x+32", "y^2=8*x^6+13*x^5+x^4+19*x^3+29*x^2+5*x+9", "y^2=5*x^6+23*x^4+17*x^3+31*x^2+7*x+32", "y^2=26*x^6+24*x^5+30*x^4+32*x^3+9*x^2+10*x+27", "y^2=19*x^6+12*x^5+13*x^4+5*x^3+9*x^2+36", "y^2=3*x^6+5*x^5+4*x^4+14*x^3+31*x^2+34*x+16", "y^2=18*x^6+19*x^5+21*x^4+29*x^3+16*x^2+22*x+9", "y^2=8*x^6+3*x^5+23*x^4+10*x^3+16*x^2+14*x+7", "y^2=x^6+30*x^5+10*x^4+33*x^3+32*x^2+34*x+27", "y^2=4*x^6+33*x^5+35*x^4+3*x^3+30*x^2+x+7", "y^2=2*x^6+14*x^5+22*x^4+8*x^3+27*x^2+10*x+2", "y^2=2*x^6+30*x^5+13*x^4+10*x^3+14*x^2+24*x+7", "y^2=24*x^6+9*x^5+34*x^4+15*x^3+11*x^2+8*x+34", "y^2=28*x^6+9*x^5+29*x^4+17*x^3+20*x^2+18*x+10", "y^2=32*x^6+15*x^5+12*x^4+19*x^3+9*x^2+8*x+4", "y^2=26*x^6+33*x^5+15*x^4+29*x^3+16*x^2+9*x+11", "y^2=19*x^6+19*x^5+14*x^4+31*x^3+32*x^2+22*x+2", "y^2=33*x^6+35*x^5+26*x^4+25*x^3+29*x^2+33*x+16", "y^2=21*x^6+18*x^5+2*x^4+28*x^3+14*x^2+30*x+9", "y^2=21*x^6+22*x^5+23*x^4+23*x^3+16*x^2+20*x+1", "y^2=29*x^6+26*x^5+9*x^4+29*x^3+21*x^2+35*x+3"], "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": 3, "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": ["4.0.58025.1"], "geometric_splitting_field": "4.0.58025.1", "geometric_splitting_polynomials": [[155, -15, 24, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 32, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 32, "label": "2.37.o_dz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.58025.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 8], [1, 11, 1, 2]], "poly": [1, 14, 103, 518, 1369], "poly_str": "1 14 103 518 1369 ", "primitive_models": [], "principal_polarization_count": 32, "q": 37, "real_poly": [1, 14, 29], "simple_distinct": ["2.37.o_dz"], "simple_factors": ["2.37.o_dzA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2+9*F+4*V+59"], "size": 32, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.58025.1", "splitting_polynomials": [[155, -15, 24, -1, 1]], "twist_count": 2, "twists": [["2.37.ao_dz", "2.1369.k_absn", 2]], "weak_equivalence_count": 3, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 16, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 2321, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2+9*F+4*V+59"]}