# Stored data for abelian variety isogeny class 1.71.am, downloaded from the LMFDB on 31 October 2025.
{"abvar_count": 60, "abvar_counts": [60, 5040, 358740, 25421760, 1804291500, 128100314160, 9095116108740, 645753480503040, 45848500397061660, 3255243550755966000], "abvar_counts_str": "60 5040 358740 25421760 1804291500 128100314160 9095116108740 645753480503040 45848500397061660 3255243550755966000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.247758306963691], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 60, "curve_counts": [60, 5040, 358740, 25421760, 1804291500, 128100314160, 9095116108740, 645753480503040, 45848500397061660, 3255243550755966000], "curve_counts_str": "60 5040 358740 25421760 1804291500 128100314160 9095116108740 645753480503040 45848500397061660 3255243550755966000 ", "curves": ["y^2=x^3+28*x+54", "y^2=x^3+56*x+37", "y^2=x^3+25*x+33", "y^2=x^3+19*x+19", "y^2=x^3+65*x+65", "y^2=x^3+17*x+17", "y^2=x^3+29*x+29", "y^2=x^3+27*x+47"], "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": ["2.0.35.1"], "geometric_splitting_field": "2.0.35.1", "geometric_splitting_polynomials": [[9, -1, 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": 8, "label": "1.71.am", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.35.1"], "p": 71, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -12, 71], "poly_str": "1 -12 71 ", "primitive_models": [], "principal_polarization_count": 8, "q": 71, "real_poly": [1, -12], "simple_distinct": ["1.71.am"], "simple_factors": ["1.71.amA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "size": 8, "slopes": ["0A", "1A"], "splitting_field": "2.0.35.1", "splitting_polynomials": [[9, -1, 1]], "twist_count": 2, "twists": [["1.71.m", "1.5041.ac", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 140, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}