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av_fq_isog • Show schema
{'abvar_count': 7748, 'abvar_counts': [7748, 60031504, 496980157700, 3934777896484864, 31181719924525829828, 246989277147516869290000, 1956410986640433990675336068, 15496730772839939023248419979264, 122749609618842355736622960331967300, 972299657451571122625038683152014509584], 'abvar_counts_str': '7748 60031504 496980157700 3934777896484864 31181719924525829828 246989277147516869290000 1956410986640433990675336068 15496730772839939023248419979264 122749609618842355736622960331967300 972299657451571122625038683152014509584 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0338042870638837, 0.966195712936116], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 90, 'curve_counts': [90, 7574, 704970, 62713374, 5584059450, 496979024438, 44231334895530, 3936588639990334, 350356403707485210, 31181719919085476054], 'curve_counts_str': '90 7574 704970 62713374 5584059450 496979024438 44231334895530 3936588639990334 350356403707485210 31181719919085476054 ', 'curves': ['y^2=78*x^6+42*x^5+37*x^4+74*x^2+10*x+1', 'y^2=60*x^6+77*x^5+76*x^4+x^3+9*x^2+19*x+11', 'y^2=44*x^6+28*x^5+88*x^4+34*x^2+28*x+72', 'y^2=35*x^6+14*x^5+82*x^4+87*x^3+44*x^2+70*x+57', 'y^2=23*x^6+5*x^5+71*x^4+x^3+27*x^2+78*x+67', 'y^2=82*x^6+48*x^5+30*x^4+23*x^3+42*x^2+30*x+5', 'y^2=35*x^6+8*x^5+78*x^4+11*x^2+81*x+54', 'y^2=12*x^6+13*x^5+43*x^4+62*x^2+60*x+30', 'y^2=43*x^6+77*x^5+82*x^4+29*x^2+77*x+51'], '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': 6, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.88.1'], 'geometric_splitting_field': '2.0.88.1', 'geometric_splitting_polynomials': [[22, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.89.a_ags', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.30976.2'], 'p': 89, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -174, 0, 7921], 'poly_str': '1 0 -174 0 7921 ', 'primitive_models': [], 'q': 89, 'real_poly': [1, 0, -352], 'simple_distinct': ['2.89.a_ags'], 'simple_factors': ['2.89.a_agsA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2-2*F+V+4'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.30976.2', 'splitting_polynomials': [[121, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['2.89.ae_ha', '2.62742241.abqsi_bccnfsw', 4], ['2.89.a_gs', '2.62742241.abqsi_bccnfsw', 4], ['2.89.e_ha', '2.62742241.abqsi_bccnfsw', 4], ['2.89.ac_adh', '2.246990403565262140303521.acuhpuomae_ngtzrqbkogwixncag', 12], ['2.89.c_adh', '2.246990403565262140303521.acuhpuomae_ngtzrqbkogwixncag', 12]], 'weak_equivalence_count': 6, 'zfv_index': 32, 'zfv_index_factorization': [[2, 5]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2-2*F+V+4']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.30976.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.89.a_ags', 'galois_group': '4T2', 'places': [['58', '1', '0', '0'], ['75', '1', '0', '0'], ['31', '1', '0', '0'], ['14', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.88.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7921.ags', 'galois_group': '2T1', 'places': [['45', '1'], ['44', '1']]}
Abelian variety isogeny class data - 2.89.a_ags