# Stored data for abelian variety isogeny class 2.37.as_fq, downloaded from the LMFDB on 20 September 2025.
{"abvar_count": 832, "abvar_counts": [832, 1830400, 2568384832, 3510853632000, 4807185389061952, 6582549956997414400, 9012011295824176035136, 12337515946422234906624000, 16890056516377076478546088768, 23122484007616575213732498112000], "abvar_counts_str": "832 1830400 2568384832 3510853632000 4807185389061952 6582549956997414400 9012011295824176035136 12337515946422234906624000 16890056516377076478546088768 23122484007616575213732498112000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0525684567112534, 0.335828188403431], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 20, "curve_counts": [20, 1338, 50708, 1873294, 69323780, 2565569706, 94931350436, 3512480601886, 129961760615156, 4808584443323418], "curve_counts_str": "20 1338 50708 1873294 69323780 2565569706 94931350436 3512480601886 129961760615156 4808584443323418 ", "curves": ["y^2=5*x^6+25*x^4+25*x^3+19*x^2+18*x+18", "y^2=8*x^6+25*x^5+18*x^4+28*x^3+15*x^2+33*x+23", "y^2=x^5+6*x^4+35*x^3+34*x^2+19*x+20", "y^2=29*x^6+33*x^5+17*x^4+14*x^3+3*x^2+3*x+18", "y^2=5*x^6+29*x^5+4*x^4+27*x^3+26*x^2+24*x+19", "y^2=32*x^6+27*x^5+23*x^4+31*x^3+10*x^2+24*x+30", "y^2=2*x^6+25*x^5+29*x^4+29*x^2+3*x+8", "y^2=23*x^6+30*x^5+31*x^4+2*x^3+31*x^2+30*x+23", "y^2=24*x^6+22*x^5+6*x^4+17*x^3+5*x^2+20*x+19", "y^2=23*x^6+2*x^5+30*x^4+26*x^3+12*x^2+24*x+29"], "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": 16, "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": ["2.0.4.1", "2.0.7.1"], "geometric_splitting_field": "4.0.784.1", "geometric_splitting_polynomials": [[4, 0, -3, 0, 1]], "group_structure_count": 6, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "2.37.as_fq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.4.1", "2.0.7.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 4], [2, 7, 1, 2]], "poly": [1, -18, 146, -666, 1369], "poly_str": "1 -18 146 -666 1369 ", "primitive_models": [], "principal_polarization_count": 14, "q": 37, "real_poly": [1, -18, 72], "simple_distinct": ["1.37.am", "1.37.ag"], "simple_factors": ["1.37.amA", "1.37.agA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-V+11", "3,-F+8*V-81"], "size": 46, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.784.1", "splitting_polynomials": [[4, 0, -3, 0, 1]], "twist_count": 8, "twists": [["2.37.ag_c", "2.1369.abg_da", 2], ["2.37.g_c", "2.1369.abg_da", 2], ["2.37.s_fq", "2.1369.abg_da", 2], ["2.37.ai_di", "2.1874161.abhk_cccje", 4], ["2.37.ae_ck", "2.1874161.abhk_cccje", 4], ["2.37.e_ck", "2.1874161.abhk_cccje", 4], ["2.37.i_di", "2.1874161.abhk_cccje", 4]], "weak_equivalence_count": 20, "zfv_index": 144, "zfv_index_factorization": [[2, 4], [3, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 448, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-V+11", "3,-F+8*V-81"]}