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av_fq_isog • Show schema
{'abvar_count': 2249, 'abvar_counts': [2249, 11805001, 42175161899, 146839161063725, 511100668270704304, 1779177377944402117201, 6193374467026710222997439, 21559173466582676238902520725, 75047496266315174225103850378229, 261240336029697708729857952628124416], 'abvar_counts_str': '2249 11805001 42175161899 146839161063725 511100668270704304 1779177377944402117201 6193374467026710222997439 21559173466582676238902520725 75047496266315174225103850378229 261240336029697708729857952628124416 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0473576671055406, 0.279593066243873], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 35, 'curve_counts': [35, 3391, 205355, 12118083, 714901800, 42180058531, 2488646765045, 146830410767283, 8662995785442665, 511116754328017206], 'curve_counts_str': '35 3391 205355 12118083 714901800 42180058531 2488646765045 146830410767283 8662995785442665 511116754328017206 ', 'curves': ['y^2=50*x^6+10*x^5+38*x^4+43*x^3+14*x^2+44*x+18', 'y^2=36*x^6+43*x^5+15*x^4+35*x^3+14*x^2+53*x+18', 'y^2=34*x^6+58*x^5+27*x^4+45*x^3+50*x^2+17*x+39', 'y^2=47*x^6+6*x^5+32*x^4+11*x^3+39*x^2+26*x+4'], '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': ['4T1'], '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': ['4T1'], 'geometric_number_fields': ['4.0.609725.2'], 'geometric_splitting_field': '4.0.609725.2', 'geometric_splitting_polynomials': [[139, -107, 33, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.59.az_kh', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.609725.2'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 5, 2, 2]], 'poly': [1, -25, 267, -1475, 3481], 'poly_str': '1 -25 267 -1475 3481 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 59, 'real_poly': [1, -25, 149], 'simple_distinct': ['2.59.az_kh'], 'simple_factors': ['2.59.az_khA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.609725.2', 'splitting_polynomials': [[139, -107, 33, -1, 1]], 'twist_count': 2, 'twists': [['2.59.z_kh', '2.3481.adn_grd', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 4, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 725, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.59.az_kh', 'extension_degree': 1, 'extension_label': '2.59.az_kh', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.609725.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.az_kh', 'galois_group': '4T1', 'places': [['32', '1', '0', '0'], ['14', '1', '0', '0'], ['2355/59', '230/59', '10/59', '7/59'], ['2056/59', '1535/59', '18/59', '48/59']]}
Abelian variety isogeny class data - 2.59.az_kh