# Stored data for abelian variety isogeny class 1.37.al, downloaded from the LMFDB on 24 January 2026.
{"abvar_count": 27, "abvar_counts": [27, 1323, 50544, 1874691, 69353847, 2565815616, 94932492507, 3512482922403, 129961755179568, 4808584413313443], "abvar_counts_str": "27 1323 50544 1874691 69353847 2565815616 94932492507 3512482922403 129961755179568 4808584413313443 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.140472200255843], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 27, "curve_counts": [27, 1323, 50544, 1874691, 69353847, 2565815616, 94932492507, 3512482922403, 129961755179568, 4808584413313443], "curve_counts_str": "27 1323 50544 1874691 69353847 2565815616 94932492507 3512482922403 129961755179568 4808584413313443 ", "curves": ["y^2=x^3+9", "y^2=x^3+26*x+15"], "dim1_distinct": 1, "dim1_factors": 1, "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": 2, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "1.37.al", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.3.1"], "p": 37, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -11, 37], "poly_str": "1 -11 37 ", "primitive_models": [], "principal_polarization_count": 2, "q": 37, "real_poly": [1, -11], "simple_distinct": ["1.37.al"], "simple_factors": ["1.37.alA"], "simple_multiplicities": [1], "singular_primes": ["3,-F+1"], "size": 2, "slopes": ["0A", "1A"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 6, "twists": [["1.37.l", "1.1369.abv", 2], ["1.37.b", "1.50653.aeg", 3], ["1.37.k", "1.50653.aeg", 3], ["1.37.ak", "1.2565726409.fbza", 6], ["1.37.ab", "1.2565726409.fbza", 6]], "weak_equivalence_count": 2, "zfv_index": 3, "zfv_index_factorization": [[3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 27, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-F+1"]}