# Stored data for abelian variety isogeny class 1.61.g, downloaded from the LMFDB on 05 November 2025.
{"abvar_count": 68, "abvar_counts": [68, 3808, 226100, 13845888, 844649828, 51520050400, 3142741514708, 191707340686848, 11694146007296900, 713342910487042528], "abvar_counts_str": "68 3808 226100 13845888 844649828 51520050400 3142741514708 191707340686848 11694146007296900 713342910487042528 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.625491882155472], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 68, "curve_counts": [68, 3808, 226100, 13845888, 844649828, 51520050400, 3142741514708, 191707340686848, 11694146007296900, 713342910487042528], "curve_counts_str": "68 3808 226100 13845888 844649828 51520050400 3142741514708 191707340686848 11694146007296900 713342910487042528 ", "curves": ["y^2=x^3+51*x+41", "y^2=x^3+13*x+26", "y^2=x^3+23*x+46", "y^2=x^3+x+2", "y^2=x^3+38*x+38", "y^2=x^3+56*x+51"], "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": ["2.0.52.1"], "geometric_splitting_field": "2.0.52.1", "geometric_splitting_polynomials": [[13, 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": 6, "label": "1.61.g", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.52.1"], "p": 61, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 4]], "poly": [1, 6, 61], "poly_str": "1 6 61 ", "primitive_models": [], "principal_polarization_count": 6, "q": 61, "real_poly": [1, 6], "simple_distinct": ["1.61.g"], "simple_factors": ["1.61.gA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "size": 6, "slopes": ["0A", "1A"], "splitting_field": "2.0.52.1", "splitting_polynomials": [[13, 0, 1]], "twist_count": 2, "twists": [["1.61.ag", "1.3721.di", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 208, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}