Formats: - HTML - YAML - JSON - 2026-05-31T14:07:05.186199
Query: /api/av_fq_isog/?_offset=0
Show schema

{'abvar_count': 124, 'abvar_counts': [124, 25792, 4443664, 814305024, 137479333324, 23262332194816, 3937513182225292, 665371973760998400, 112452526597490782096, 19005005675958910658752], 'abvar_counts_str': '124 25792 4443664 814305024 137479333324 23262332194816 3937513182225292 665371973760998400 112452526597490782096 19005005675958910658752 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0300894917429696, 0.696756158409636], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 11, 'curve_counts': [11, 153, 2018, 28513, 370271, 4819398, 62750699, 815676001, 10604227754, 137858795793], 'curve_counts_str': '11 153 2018 28513 370271 4819398 62750699 815676001 10604227754 137858795793 ', 'curves': ['y^2=6*x^6+4*x^5+10*x^4+7*x^3+8*x^2+10*x'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 3, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.43.1'], 'geometric_splitting_field': '2.0.43.1', 'geometric_splitting_polynomials': [[11, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'id': 7675, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.13.ad_ae', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.16641.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -3, -4, -39, 169], 'poly_str': '1 -3 -4 -39 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, -3, -30], 'simple_distinct': ['2.13.ad_ae'], 'simple_factors': ['2.13.ad_aeA'], 'simple_multiplicities': [1], 'singular_primes': ['2,3*F-1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.16641.1', 'splitting_polynomials': [[121, -11, -10, -1, 1]], 'twist_count': 6, 'twists': [['2.13.d_ae', '2.169.ar_eq', 2], ['2.13.g_bj', '2.2197.agy_smo', 3], ['2.13.ag_bj', '2.4826809.akzc_bzerso', 6], ['2.13.a_r', '2.4826809.akzc_bzerso', 6], ['2.13.a_ar', '2.23298085122481.arwjlc_lqwvyaeueo', 12]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,3*F-1']}