# Stored data for abelian variety isogeny class 1.53.ad, downloaded from the LMFDB on 30 October 2025.
{"abvar_count": 51, "abvar_counts": [51, 2907, 149328, 7886691, 418160271, 22164456384, 1174713292419, 62259691820643, 3299763481943184, 174887469961244307], "abvar_counts_str": "51 2907 149328 7886691 418160271 22164456384 1174713292419 62259691820643 3299763481943184 174887469961244307 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.433942022437832], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 51, "curve_counts": [51, 2907, 149328, 7886691, 418160271, 22164456384, 1174713292419, 62259691820643, 3299763481943184, 174887469961244307], "curve_counts_str": "51 2907 149328 7886691 418160271 22164456384 1174713292419 62259691820643 3299763481943184 174887469961244307 ", "curves": ["y^2=x^3+23*x+23", "y^2=x^3+20*x+20", "y^2=x^3+43*x+43", "y^2=x^3+15*x+30"], "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": 1, "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": ["2.0.203.1"], "geometric_splitting_field": "2.0.203.1", "geometric_splitting_polynomials": [[51, -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": 4, "label": "1.53.ad", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.203.1"], "p": 53, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 4]], "poly": [1, -3, 53], "poly_str": "1 -3 53 ", "primitive_models": [], "principal_polarization_count": 4, "q": 53, "real_poly": [1, -3], "simple_distinct": ["1.53.ad"], "simple_factors": ["1.53.adA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["0A", "1A"], "splitting_field": "2.0.203.1", "splitting_polynomials": [[51, -1, 1]], "twist_count": 2, "twists": [["1.53.d", "1.2809.dt", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 203, "zfv_singular_count": 0, "zfv_singular_primes": []}