# Stored data for abelian variety isogeny class 1.149.ax, downloaded from the LMFDB on 07 November 2025.
{"abvar_count": 127, "abvar_counts": [127, 21971, 3306064, 492875443, 73439850707, 10942529645504, 1630436520589703, 242935033654633923, 36197319891628072336, 5393400662204669510651], "abvar_counts_str": "127 21971 3306064 492875443 73439850707 10942529645504 1630436520589703 242935033654633923 36197319891628072336 5393400662204669510651 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.108832647116434], "center_dim": 2, "curve_count": 127, "curve_counts": [127, 21971, 3306064, 492875443, 73439850707, 10942529645504, 1630436520589703, 242935033654633923, 36197319891628072336, 5393400662204669510651], "curve_counts_str": "127 21971 3306064 492875443 73439850707 10942529645504 1630436520589703 242935033654633923 36197319891628072336 5393400662204669510651 ", "curves": ["y^2=x^3+118*x+87"], "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": ["2.0.67.1"], "geometric_splitting_field": "2.0.67.1", "geometric_splitting_polynomials": [[17, -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": 1, "label": "1.149.ax", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.67.1"], "p": 149, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -23, 149], "poly_str": "1 -23 149 ", "primitive_models": [], "principal_polarization_count": 1, "q": 149, "real_poly": [1, -23], "simple_distinct": ["1.149.ax"], "simple_factors": ["1.149.axA"], "simple_multiplicities": [1], "size": 1, "slopes": ["0A", "1A"], "splitting_field": "2.0.67.1", "splitting_polynomials": [[17, -1, 1]], "twist_count": 2, "twists": [["1.149.x", "1.22201.aix", 2]]}