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av_fq_isog • Show schema
{'abvar_count': 5188, 'abvar_counts': [5188, 26915344, 151333633156, 805920331677696, 4297625828097776068, 22901868524194782520336, 122045014039748168076254212, 650377825676026943743868534784, 3465863721549107264698645668344644, 18469587758333095494403728767473540624], 'abvar_counts_str': '5188 26915344 151333633156 805920331677696 4297625828097776068 22901868524194782520336 122045014039748168076254212 650377825676026943743868534784 3465863721549107264698645668344644 18469587758333095494403728767473540624 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0373409407742748, 0.962659059225725], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 74, 'curve_counts': [74, 5046, 389018, 28379230, 2073071594, 151333040022, 11047398519098, 806460024758974, 58871586708267914, 4297625826491994486], 'curve_counts_str': '74 5046 389018 28379230 2073071594 151333040022 11047398519098 806460024758974 58871586708267914 4297625826491994486 ', 'curves': ['y^2=46*x^6+27*x^5+18*x^4+38*x^2+50*x+65', 'y^2=28*x^6+12*x^5+13*x^4+59*x^2+12*x+47', 'y^2=21*x^6+3*x^5+9*x^4+8*x^3+20*x^2+4*x+46', 'y^2=46*x^6+37*x^5+3*x^4+70*x^2+36*x+27', 'y^2=37*x^6+35*x^5+15*x^4+21*x^2+19*x+4', 'y^2=24*x^6+61*x^5+20*x^4+28*x^3+4*x^2+55*x+51', 'y^2=7*x^6+56*x^5+60*x^4+28*x^3+48*x^2+30*x+3', 'y^2=66*x^6+60*x^5+63*x^4+21*x^2+42*x+43', 'y^2=28*x^6+19*x^5+61*x^4+28*x^3+14*x^2+36*x+38', 'y^2=22*x^6+71*x^5+28*x^4+51*x^2+72*x+66', 'y^2=62*x^6+7*x^5+64*x^4+37*x^3+43*x^2+21*x+36', 'y^2=23*x^6+38*x^5+10*x^4+40*x^2+49*x+12', 'y^2=x^5+48*x', 'y^2=17*x^6+49*x^5+25*x^4+67*x^3+33*x^2+32*x+46'], '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': 12, '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': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, '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': 14, 'label': '2.73.a_afm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.256.1'], 'p': 73, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -142, 0, 5329], 'poly_str': '1 0 -142 0 5329 ', 'primitive_models': [], 'q': 73, 'real_poly': [1, 0, -288], 'simple_distinct': ['2.73.a_afm'], 'simple_factors': ['2.73.a_afmA'], 'simple_multiplicities': [1], 'singular_primes': ['2,2*F-V+3', '3,5*F^2+87*F-45*V-4'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 8, 'twists': [['2.73.ae_fu', '2.28398241.abcdg_mkavby', 4], ['2.73.a_fm', '2.28398241.abcdg_mkavby', 4], ['2.73.e_fu', '2.28398241.abcdg_mkavby', 4], ['2.73.ay_lc', '2.806460091894081.afqxsho_tkpmhfdoddm', 8], ['2.73.y_lc', '2.806460091894081.afqxsho_tkpmhfdoddm', 8], ['2.73.ac_acr', '2.22902048046490258711521.amgdrtwrk_bctmaqnbzqwnbawyo', 12], ['2.73.c_acr', '2.22902048046490258711521.amgdrtwrk_bctmaqnbzqwnbawyo', 12]], 'weak_equivalence_count': 12, 'zfv_index': 288, 'zfv_index_factorization': [[2, 5], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 12, 'zfv_plus_index_factorization': [[2, 2], [3, 1]], 'zfv_plus_norm': 16, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,2*F-V+3', '3,5*F^2+87*F-45*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': '4.0.256.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.73.a_afm', 'galois_group': '4T2', 'places': [['22', '1', '0', '0'], ['63', '1', '0', '0'], ['10', '1', '0', '0'], ['51', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5329.afm', 'galois_group': '2T1', 'places': [['61', '1'], ['12', '1']]}
Abelian variety isogeny class data - 2.73.a_afm