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Query: /api/av_fq_isog/?_offset=0

Table av_fq_isog

Isogeny classes of abelian varieties over finite fields

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{'abvar_count': 227, 'abvar_counts': [227, 35639, 1866167, 238389271, 30052498447, 3772809296063, 479721286275136, 59631558316161543, 7450152696940713083, 931936929390599865959], 'abvar_counts_str': '227 35639 1866167 238389271 30052498447 3772809296063 479721286275136 59631558316161543 7450152696940713083 931936929390599865959 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.375907326846404, 0.517028019697687, 0.685443043629336], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 47, 121, 611, 3077, 15455, 78596, 390803, 1953013, 9772067], 'curve_counts_str': '7 47 121 611 3077 15455 78596 390803 1953013 9772067 ', 'curves': ['y^2=x^7+4*x^5+4*x^3+2*x^2+4*x+2', '2*x^4+3*x^3*z+x^2*y^2+3*x^2*y*z+4*x^2*z^2+x*y*z^2+x*z^3+y^3*z=0'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.490372119.1'], 'geometric_splitting_field': '6.0.490372119.1', 'geometric_splitting_polynomials': [[125, -25, 55, -9, 11, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'id': 1264392, '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': 2, 'label': '3.5.b_l_j', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.490372119.1'], 'p': 5, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 1, 11, 9, 55, 25, 125], 'poly_str': '1 1 11 9 55 25 125 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 1, -4, -1], 'simple_distinct': ['3.5.b_l_j'], 'simple_factors': ['3.5.b_l_jA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.490372119.1', 'splitting_polynomials': [[125, -25, 55, -9, 11, -1, 1]], 'twist_count': 2, 'twists': [['3.5.ab_l_aj', '3.25.v_if_bzd', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4759, 'zfv_singular_count': 0, 'zfv_singular_primes': []}