# Stored data for abelian variety isogeny class 2.37.at_gi, downloaded from the LMFDB on 28 February 2026.
{"abvar_count": 812, "abvar_counts": [812, 1831872, 2585105936, 3521392890624, 4810717835789852, 6583253773720006656, 9012062203373257327964, 12337497913760327329459200, 16890049037014602465750779024, 23122482712257231188246315785152], "abvar_counts_str": "812 1831872 2585105936 3521392890624 4810717835789852 6583253773720006656 9012062203373257327964 12337497913760327329459200 16890049037014602465750779024 23122482712257231188246315785152 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.19286113307749, 0.234922259124541], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 19, "curve_counts": [19, 1337, 51034, 1878913, 69374719, 2565844022, 94931886691, 3512475468001, 129961703064658, 4808584173938657], "curve_counts_str": "19 1337 51034 1878913 69374719 2565844022 94931886691 3512475468001 129961703064658 4808584173938657 ", "curves": [], "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": 3, "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": ["2.0.3.1", "2.0.67.1"], "geometric_splitting_field": "4.0.40401.2", "geometric_splitting_polynomials": [[289, -17, -16, -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": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.37.at_gi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.3.1", "2.0.67.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -19, 164, -703, 1369], "poly_str": "1 -19 164 -703 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, -19, 90], "simple_distinct": ["1.37.ak", "1.37.aj"], "simple_factors": ["1.37.akA", "1.37.ajA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-6*F-V+11"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.40401.2", "splitting_polynomials": [[289, -17, -16, -1, 1]], "twist_count": 12, "twists": [["2.37.ab_aq", "2.1369.abh_eii", 2], ["2.37.b_aq", "2.1369.abh_eii", 2], ["2.37.t_gi", "2.1369.abh_eii", 2], ["2.37.ak_df", "2.50653.oq_hlus", 3], ["2.37.c_az", "2.50653.oq_hlus", 3], ["2.37.au_gr", "2.2565726409.grzo_yvegzzy", 6], ["2.37.ai_cn", "2.2565726409.grzo_yvegzzy", 6], ["2.37.ac_az", "2.2565726409.grzo_yvegzzy", 6], ["2.37.i_cn", "2.2565726409.grzo_yvegzzy", 6], ["2.37.k_df", "2.2565726409.grzo_yvegzzy", 6], ["2.37.u_gr", "2.2565726409.grzo_yvegzzy", 6]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3216, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-6*F-V+11"]}