# Stored data for abelian variety isogeny class 1.53.o, downloaded from the LMFDB on 06 September 2025.
{"abvar_count": 68, "abvar_counts": [68, 2720, 149396, 7888000, 418202788, 22164390560, 1174710341236, 62259700032000, 3299763499439108, 174887471148701600], "abvar_counts_str": "68 2720 149396 7888000 418202788 22164390560 1174710341236 62259700032000 3299763499439108 174887471148701600 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.911414467217095], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 68, "curve_counts": [68, 2720, 149396, 7888000, 418202788, 22164390560, 1174710341236, 62259700032000, 3299763499439108, 174887471148701600], "curve_counts_str": "68 2720 149396 7888000 418202788 22164390560 1174710341236 62259700032000 3299763499439108 174887471148701600 ", "curves": ["y^2=x^3+7*x+7", "y^2=x^3+x"], "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": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "group_structure_count": 2, "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": 2, "label": "1.53.o", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.4.1"], "p": 53, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, 14, 53], "poly_str": "1 14 53 ", "primitive_models": [], "principal_polarization_count": 2, "q": 53, "real_poly": [1, 14], "simple_distinct": ["1.53.o"], "simple_factors": ["1.53.oA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1"], "size": 2, "slopes": ["0A", "1A"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 4, "twists": [["1.53.ao", "1.2809.adm", 2], ["1.53.ae", "1.7890481.adrm", 4], ["1.53.e", "1.7890481.adrm", 4]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 16, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-1"]}