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av_fq_isog • Show schema
{'abvar_count': 228, 'abvar_counts': [228, 76608, 22924944, 6979601664, 2012756156868, 582330257510400, 168386304583282692, 48660042060834591744, 14063050474052699031696, 4064236189344714271710528], 'abvar_counts_str': '228 76608 22924944 6979601664 2012756156868 582330257510400 168386304583282692 48660042060834591744 14063050474052699031696 4064236189344714271710528 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0481446514052545, 0.714811318071921], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 15, 'curve_counts': [15, 265, 4662, 83569, 1417575, 24125470, 410359335, 6975592609, 118587589974, 2015996272825], 'curve_counts_str': '15 265 4662 83569 1417575 24125470 410359335 6975592609 118587589974 2015996272825 ', 'curves': ['y^2=2*x^6+9*x^5+13*x^4+x^3+15*x^2+3*x+2', 'y^2=7*x^6+x^5+9*x^4+x^3+3*x^2+1', 'y^2=8*x^6+8*x^5+14*x^4+9*x^2+6*x+8', 'y^2=4*x^6+2*x^5+3*x^4+15*x^3+3*x^2+9*x+15', 'y^2=7*x^6+4*x^5+7*x^4+5*x^3+8*x+4', 'y^2=9*x^5+3*x^4+16*x^3+15*x^2+15*x+4', 'y^2=12*x^6+7*x^5+x^4+2*x^3+10*x^2+14*x+12', 'y^2=10*x^6+9*x^5+x^4+11*x^3+11*x^2+6*x', 'y^2=x^6+16*x^5+15*x^4+x^3+4*x^2+8*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': 4, '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': ['2.0.59.1'], 'geometric_splitting_field': '2.0.59.1', 'geometric_splitting_polynomials': [[15, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, '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': 9, 'label': '2.17.ad_ai', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.31329.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 3], [1, 7, 2, 6]], 'poly': [1, -3, -8, -51, 289], 'poly_str': '1 -3 -8 -51 289 ', 'primitive_models': [], 'principal_polarization_count': 9, 'q': 17, 'real_poly': [1, -3, -42], 'simple_distinct': ['2.17.ad_ai'], 'simple_factors': ['2.17.ad_aiA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F+1'], 'size': 15, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.31329.1', 'splitting_polynomials': [[225, -15, -14, -1, 1]], 'twist_count': 6, 'twists': [['2.17.d_ai', '2.289.az_my', 2], ['2.17.g_br', '2.4913.ajs_bmao', 3], ['2.17.ag_br', '2.24137569.arxk_hdteqo', 6], ['2.17.a_z', '2.24137569.arxk_hdteqo', 6], ['2.17.d_ai', '2.24137569.arxk_hdteqo', 6], ['2.17.a_az', '2.582622237229761.bzcglg_jfskodqbhjy', 12]], 'weak_equivalence_count': 4, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 6, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 64, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F+1']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.31329.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.ad_ai', 'galois_group': '4T2', 'places': [['13', '6', '14', '1'], ['4', '3', '3', '16']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.59.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4913.aew', 'galois_group': '2T1', 'places': [['15', '1'], ['1', '1']]}
Abelian variety isogeny class data - 2.17.ad_ai