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av_fq_isog • Show schema
{'abvar_count': 300, 'abvar_counts': [300, 100800, 24292800, 6945120000, 2015933407500, 582500143411200, 168369852440244300, 48662783705128320000, 14063167243798844068800, 4064222215287001759320000], 'abvar_counts_str': '300 100800 24292800 6945120000 2015933407500 582500143411200 168369852440244300 48662783705128320000 14063167243798844068800 4064222215287001759320000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.381477984738588, 0.577979130377369], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 17, 'curve_counts': [17, 345, 4946, 83153, 1419817, 24132510, 410319241, 6975985633, 118588574642, 2015989341225], 'curve_counts_str': '17 345 4946 83153 1419817 24132510 410319241 6975985633 118588574642 2015989341225 ', 'curves': ['y^2=5*x^6+2*x^5+5*x^4+15*x^3+6*x^2+15*x+3', 'y^2=2*x^6+10*x^5+3*x^4+16*x^3+9*x^2+14*x+9', 'y^2=5*x^6+2*x^5+13*x^4+2*x^3+14*x^2+5', 'y^2=15*x^6+8*x^5+x^4+10*x^3+4*x^2+10*x', 'y^2=5*x^6+4*x^5+6*x^4+2*x^3+3*x^2+11*x+10', 'y^2=4*x^6+11*x^5+8*x^4+4*x^2+10*x+6', 'y^2=6*x^6+4*x^5+9*x^4+16*x^3+2*x^2+x+2', 'y^2=9*x^6+9*x^5+11*x^4+13*x^3+8*x^2+5*x+4', 'y^2=5*x^6+16*x^5+7*x^4+5*x^3+16*x+4', 'y^2=14*x^6+9*x^5+8*x^4+5*x^3+10*x+5', 'y^2=9*x^6+12*x^5+4*x^4+16*x^3+6*x^2+14*x+6', 'y^2=6*x^6+10*x^5+5*x^4+14*x^3+5*x^2+13*x+12', 'y^2=15*x^5+10*x^4+15*x^3+9*x+7', 'y^2=16*x^6+5*x^5+12*x^4+9*x^3+2*x^2+7*x+5', 'y^2=7*x^6+2*x^5+14*x^4+14*x^3+9*x^2+6*x+9', 'y^2=9*x^6+4*x^5+6*x^3+6*x^2+7*x', 'y^2=4*x^6+16*x^5+5*x^2+2*x+16', 'y^2=5*x^6+15*x^5+16*x^4+2*x^3+7*x^2+12*x+15', 'y^2=9*x^6+15*x^5+4*x^4+10*x^3+6*x^2+13*x+14', 'y^2=7*x^6+15*x^5+11*x^4+6*x^3+14*x^2+4*x+5', 'y^2=6*x^6+8*x^5+15*x^4+14*x^3+16*x^2+15*x+5'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 12, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.59.1', '2.0.4.1'], 'geometric_splitting_field': '4.0.55696.1', 'geometric_splitting_polynomials': [[225, 0, -29, 0, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 21, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 21, 'label': '2.17.ab_bc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.59.1', '2.0.4.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 12], [1, 3, 2, 12], [2, 13, 1, 4]], 'poly': [1, -1, 28, -17, 289], 'poly_str': '1 -1 28 -17 289 ', 'primitive_models': [], 'principal_polarization_count': 33, 'q': 17, 'real_poly': [1, -1, -6], 'simple_distinct': ['1.17.ad', '1.17.c'], 'simple_factors': ['1.17.adA', '1.17.cA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['5,3*V+7', '5,-4*F-3*V', '2,9*F+1'], 'size': 138, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.55696.1', 'splitting_polynomials': [[225, 0, -29, 0, 1]], 'twist_count': 8, 'twists': [['2.17.af_bo', '2.289.cd_bzc', 2], ['2.17.b_bc', '2.289.cd_bzc', 2], ['2.17.f_bo', '2.289.cd_bzc', 2], ['2.17.al_cg', '2.83521.aof_kjmu', 4], ['2.17.af_k', '2.83521.aof_kjmu', 4], ['2.17.f_k', '2.83521.aof_kjmu', 4], ['2.17.l_cg', '2.83521.aof_kjmu', 4]], 'weak_equivalence_count': 12, 'zfv_index': 100, 'zfv_index_factorization': [[2, 2], [5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3776, 'zfv_singular_count': 6, 'zfv_singular_primes': ['5,3*V+7', '5,-4*F-3*V', '2,9*F+1']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.59.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ad', 'galois_group': '2T1', 'places': [['15', '1'], ['1', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.c', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '1']]}
Abelian variety isogeny class data - 2.17.ab_bc