# Stored data for abelian variety isogeny class 2.23.am_cu, downloaded from the LMFDB on 16 May 2024.
{"label": "2.23.am_cu", "g": 2, "p": 23, "q": 23, "poly": [1, -12, 72, -276, 529], "poly_str": "1 -12 72 -276 529 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0956038575290044, 0.404396142470996], "angle_rank": 1, "number_fields": ["4.0.6400.3"], "galois_groups": ["4T2"], "center_dim": 4, "abvar_counts": [314, 279460, 148474586, 78097891600, 41391692364794, 21914624696975140, 11593380278594010266, 6132675219602112921600, 3244153234658230621747514, 1716155831334506630544686500], "abvar_counts_str": "314 279460 148474586 78097891600 41391692364794 21914624696975140 11593380278594010266 6132675219602112921600 3244153234658230621747514 1716155831334506630544686500 ", "abvar_count": 314, "curve_counts": [12, 530, 12204, 279078, 6430932, 148035890, 3404985204, 78311812798, 1801153952172, 41426511213650], "curve_counts_str": "12 530 12204 279078 6430932 148035890 3404985204 78311812798 1801153952172 41426511213650 ", "curve_count": 12, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 4, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.40.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.23.m_cu", "2.529.a_aos", 2], ["2.23.a_aba", "2.78310985281.bvcdo_bovewyusc", 8], ["2.23.a_ba", "2.78310985281.bvcdo_bovewyusc", 8]], "twist_count": 4, "max_twist_degree": 8, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["2.23.am_cu"], "simple_multiplicities": [1], "simple_factors": ["2.23.am_cuA"], "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": 2, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -12, 26], "jacobian_count": 7, "curves": ["y^2=13*x^6+5*x^5+21*x^4+21*x^2+18*x+13", "y^2=10*x^6+13*x^5+19*x^4+5*x^3+19*x^2+11*x+7", "y^2=9*x^6+14*x^5+13*x^4+15*x^3+9*x^2+16*x+21", "y^2=4*x^6+17*x^5+17*x^4+7*x^2+12*x+9", "y^2=9*x^6+6*x^5+20*x^4+16*x^3+18*x^2+18*x+14", "y^2=7*x^6+19*x^5+10*x^4+6*x^3+10*x^2+9*x+18", "y^2=16*x^6+17*x^5+20*x^3+16*x^2+6*x+5"], "hyp_count": 7, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 13, "zfv_index_factorization": [[13, 1]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 676, "geometric_splitting_field": "2.0.40.1", "splitting_field": "4.0.6400.3", "geometric_splitting_polynomials": [[10, 0, 1]], "splitting_polynomials": [[25, 0, 0, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 14, "principal_polarization_count": 7, "pic_prime_gens": [[1, 2, 1, 4], [1, 5, 1, 12]]}