# Stored data for abelian variety isogeny class 1.37.b, downloaded from the LMFDB on 09 November 2025. {"abvar_count": 39, "abvar_counts": [39, 1443, 50544, 1871571, 69350619, 2565815616, 94931541471, 3512476488963, 129961755179568, 4808584466736843], "abvar_counts_str": "39 1443 50544 1871571 69350619 2565815616 94931541471 3512476488963 129961755179568 4808584466736843 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.526194466410823], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 39, "curve_counts": [39, 1443, 50544, 1871571, 69350619, 2565815616, 94931541471, 3512476488963, 129961755179568, 4808584466736843], "curve_counts_str": "39 1443 50544 1871571 69350619 2565815616 94931541471 3512476488963 129961755179568 4808584466736843 ", "curves": ["y^2=x^3+3", "y^2=x^3+20*x+20", "y^2=x^3+33*x+33"], "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": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "1.37.b", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.3.1"], "p": 37, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 1, 37], "poly_str": "1 1 37 ", "primitive_models": [], "principal_polarization_count": 3, "q": 37, "real_poly": [1, 1], "simple_distinct": ["1.37.b"], "simple_factors": ["1.37.bA"], "simple_multiplicities": [1], "singular_primes": ["7,-2*F-8"], "size": 3, "slopes": ["0A", "1A"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 6, "twists": [["1.37.ab", "1.1369.cv", 2], ["1.37.al", "1.50653.aeg", 3], ["1.37.k", "1.50653.aeg", 3], ["1.37.ak", "1.2565726409.fbza", 6], ["1.37.l", "1.2565726409.fbza", 6]], "weak_equivalence_count": 2, "zfv_index": 7, "zfv_index_factorization": [[7, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 147, "zfv_singular_count": 2, "zfv_singular_primes": ["7,-2*F-8"]}