# Stored data for abelian variety isogeny class 1.179.i, downloaded from the LMFDB on 06 November 2025.
{"abvar_count": 188, "abvar_counts": [188, 32336, 5731556, 1026603328, 183766853068, 32894110596944, 5888046176170612, 1053960290442263808, 188658891722005537244, 33769941615917785965776], "abvar_counts_str": "188 32336 5731556 1026603328 183766853068 32894110596944 5888046176170612 1053960290442263808 188658891722005537244 33769941615917785965776 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.59664439911796], "center_dim": 2, "curve_count": 188, "curve_counts": [188, 32336, 5731556, 1026603328, 183766853068, 32894110596944, 5888046176170612, 1053960290442263808, 188658891722005537244, 33769941615917785965776], "curve_counts_str": "188 32336 5731556 1026603328 183766853068 32894110596944 5888046176170612 1053960290442263808 188658891722005537244 33769941615917785965776 ", "curves": ["y^2=x^3+167*x+167", "y^2=x^3+113*x+113", "y^2=x^3+96*x+13", "y^2=x^3+51*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, "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": ["2.0.163.1"], "geometric_splitting_field": "2.0.163.1", "geometric_splitting_polynomials": [[41, -1, 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": "1.179.i", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.163.1"], "p": 179, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 8, 179], "poly_str": "1 8 179 ", "primitive_models": [], "principal_polarization_count": 4, "q": 179, "real_poly": [1, 8], "simple_distinct": ["1.179.i"], "simple_factors": ["1.179.iA"], "simple_multiplicities": [1], "size": 4, "slopes": ["0A", "1A"], "splitting_field": "2.0.163.1", "splitting_polynomials": [[41, -1, 1]], "twist_count": 2, "twists": [["1.179.ai", "1.32041.li", 2]]}