Formats: - HTML - YAML - JSON - 2026-07-17T04:42:08.393687
Query: /api/av_fq_isog/?_offset=0
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{'abvar_count': 334, 'abvar_counts': [334, 287908, 149932600, 78313279264, 41421476307754, 21917875540705600, 11593568288441234506, 6132662894255511233664, 3244148608497113137240600, 1716155133197554058823493828], 'abvar_counts_str': '334 287908 149932600 78313279264 41421476307754 21917875540705600 11593568288441234506 6132662894255511233664 3244148608497113137240600 1716155133197554058823493828 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.16225576216339, 0.4116668680964], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 13, 'curve_counts': [13, 545, 12322, 279849, 6435563, 148057850, 3405040421, 78311655409, 1801151383726, 41426494361225], 'curve_counts_str': '13 545 12322 279849 6435563 148057850 3405040421 78311655409 1801151383726 41426494361225 ', 'curves': ['y^2=19*x^6+9*x^5+17*x^4+18*x^3+15*x^2+18*x+11', 'y^2=14*x^6+20*x^4+5*x^3+9*x^2+5*x+13', 'y^2=5*x^6+4*x^5+17*x^4+22*x^3+6*x^2+7*x+22', 'y^2=17*x^6+6*x^5+17*x^4+5*x^3+x+21', 'y^2=10*x^6+4*x^5+14*x^4+2*x^3+14*x^2+16*x+14', 'y^2=6*x^6+22*x^5+18*x^4+13*x^3+11*x^2+7*x+22'], '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': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.2029896.1'], 'geometric_splitting_field': '4.0.2029896.1', 'geometric_splitting_polynomials': [[166, 34, 23, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'id': 10242, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.23.al_cq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.2029896.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 17, 1, 6]], 'poly': [1, -11, 68, -253, 529], 'poly_str': '1 -11 68 -253 529 ', 'primitive_models': [], 'principal_polarization_count': 6, 'q': 23, 'real_poly': [1, -11, 22], 'simple_distinct': ['2.23.al_cq'], 'simple_factors': ['2.23.al_cqA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 6, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2029896.1', 'splitting_polynomials': [[166, 34, 23, -1, 1]], 'twist_count': 2, 'twists': [['2.23.l_cq', '2.529.p_em', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 6, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1864, 'zfv_singular_count': 0, 'zfv_singular_primes': []}