# Stored data for abelian variety isogeny class 2.4.c_h, downloaded from the LMFDB on 17 May 2024.
{"label": "2.4.c_h", "g": 2, "p": 2, "q": 4, "poly": [1, 2, 7, 8, 16], "poly_str": "1 2 7 8 16 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.466978735544098, 0.706248981435865], "angle_rank": 2, "number_fields": ["4.0.10304.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [34, 476, 3502, 64736, 1011874, 16816604, 275425534, 4257298304, 68387444722, 1102713976476], "abvar_counts_str": "34 476 3502 64736 1011874 16816604 275425534 4257298304 68387444722 1102713976476 ", "abvar_count": 34, "curve_counts": [7, 27, 55, 255, 987, 4107, 16807, 64959, 260875, 1051627], "curve_counts_str": "7 27 55 255 987 4107 16807 64959 260875 1051627 ", "curve_count": 7, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.10304.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.4.ac_h", "2.16.k_bx", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["2.4.c_h"], "simple_multiplicities": [1], "simple_factors": ["2.4.c_hA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_factors": 1, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 0, "geom_dim2_distinct": 1, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, 2, -1], "jacobian_count": 4, "curves": ["y^2+(x^2+x+a+1)*y=a*x^5+(a+1)*x^4+x^3+(a+1)*x^2+a*x+a+1", "y^2+(x^2+x+a)*y=(a+1)*x^5+(a+1)*x^4+(a+1)*x^2+a+1", "y^2+(x^2+x+a)*y=(a+1)*x^5+a*x^4+x^3+a*x^2+(a+1)*x+a", "y^2+(x^2+x+a+1)*y=a*x^5+(a+1)*x^4+(a+1)*x^2"], "hyp_count": 4, "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_index": 1, "zfv_index_factorization": [], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 161, "geometric_splitting_field": "4.0.10304.1", "splitting_field": "4.0.10304.1", "geometric_splitting_polynomials": [[14, -4, 7, -2, 1]], "splitting_polynomials": [[14, -4, 7, -2, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 4, "principal_polarization_count": 4, "pic_prime_gens": [[1, 2, 1, 4]]}