# Stored data for abelian variety isogeny class 2.37.f_am, downloaded from the LMFDB on 27 November 2025.
{"abvar_count": 1548, "abvar_counts": [1548, 1808064, 2609575056, 3511846100736, 4809570923227068, 6582523059292409856, 9012051009568270374012, 12337499147231632730840064, 16890057492283678017287445264, 23122483972788675191396609029824], "abvar_counts_str": "1548 1808064 2609575056 3511846100736 4809570923227068 6582523059292409856 9012051009568270374012 12337499147231632730840064 16890057492283678017287445264 23122483972788675191396609029824 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.301486164513198, 0.968152831179865], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 43, "curve_counts": [43, 1321, 51514, 1873825, 69358183, 2565559222, 94931768779, 3512475819169, 129961768124338, 4808584436080561], "curve_counts_str": "43 1321 51514 1873825 69358183 2565559222 94931768779 3512475819169 129961768124338 4808584436080561 ", "curves": ["y^2=11*x^6+18*x^5+18*x^4+11*x^3+18*x^2+25*x", "y^2=26*x^6+30*x^5+9*x^4+36*x^3+23*x^2+25*x+18", "y^2=8*x^6+24*x^5+9*x^4+3*x^3+4*x^2+x+33", "y^2=16*x^6+18*x^5+18*x^4+29*x^3+29*x^2+20*x+18", "y^2=20*x^5+6*x^4+33*x^3+29*x+5", "y^2=28*x^6+33*x^5+27*x^4+36*x^3+18*x^2+3*x+31", "y^2=8*x^6+19*x^5+20*x^4+7*x^3+x+36", "y^2=x^6+17*x^5+32*x^4+31*x^3+17*x^2+14*x+25", "y^2=x^6+x^3+7", "y^2=19*x^6+7*x^5+6*x^4+11*x^3+29*x^2+25*x+14"], "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": 9, "g": 2, "galois_groups": ["4T2"], "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.123.1"], "geometric_splitting_field": "2.0.123.1", "geometric_splitting_polynomials": [[31, -1, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "2.37.f_am", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.15129.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 31, 1, 3], [1, 31, 3, 6]], "poly": [1, 5, -12, 185, 1369], "poly_str": "1 5 -12 185 1369 ", "primitive_models": [], "principal_polarization_count": 10, "q": 37, "real_poly": [1, 5, -86], "simple_distinct": ["2.37.f_am"], "simple_factors": ["2.37.f_amA"], "simple_multiplicities": [1], "singular_primes": ["2,3*F+3", "3,-F+3*V+13"], "size": 18, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.15129.1", "splitting_polynomials": [[100, 10, 11, -1, 1]], "twist_count": 6, "twists": [["2.37.af_am", "2.1369.abx_bns", 2], ["2.37.ak_dv", "2.50653.bhc_qhjy", 3], ["2.37.a_bx", "2.2565726409.ajnii_bngaxcuo", 6], ["2.37.k_dv", "2.2565726409.ajnii_bngaxcuo", 6], ["2.37.a_abx", "2.6582952005840035281.amanellk_gscdtzsrfoggio", 12]], "weak_equivalence_count": 9, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 6, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 144, "zfv_singular_count": 4, "zfv_singular_primes": ["2,3*F+3", "3,-F+3*V+13"]}