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av_fq_isog • Show schema
{'abvar_count': 1120, 'abvar_counts': [1120, 3324160, 6341480320, 11701907481600, 21615338661901600, 39960256646636892160, 73885396222286359234720, 136614026579244955266355200, 252599340952701678211177740160, 467056172971045778995974265196800], 'abvar_counts_str': '1120 3324160 6341480320 11701907481600 21615338661901600 39960256646636892160 73885396222286359234720 136614026579244955266355200 252599340952701678211177740160 467056172971045778995974265196800 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.132197172840034, 0.259258415260951], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 23, 'curve_counts': [23, 1797, 79760, 3422809, 147034673, 6321462054, 271818754139, 11688200350321, 502592626619120, 21611482553603157], 'curve_counts_str': '23 1797 79760 3422809 147034673 6321462054 271818754139 11688200350321 502592626619120 21611482553603157 ', 'curves': ['y^2=15*x^6+41*x^5+10*x^4+14*x^3+21*x+42', 'y^2=7*x^6+19*x^5+11*x^4+14*x^3+13*x^2+41*x+29', 'y^2=32*x^6+13*x^5+32*x^4+2*x^3+7*x^2+14*x+5', 'y^2=3*x^6+34*x^5+27*x^4+34*x^3+33*x^2+9*x+40', 'y^2=29*x^6+33*x^5+32*x^4+21*x^2+29*x+7', 'y^2=18*x^6+27*x^5+36*x^4+4*x^3+34*x^2+34*x+6', 'y^2=34*x^6+28*x^5+2*x^4+29*x^3+42*x^2+23*x+21', 'y^2=41*x^6+24*x^5+14*x^4+10*x^3+39*x^2+23*x+33'], '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': 4, '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': ['2.0.7.1', '2.0.91.1'], 'geometric_splitting_field': '4.0.8281.2', 'geometric_splitting_polynomials': [[25, 0, -3, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.43.av_hm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.7.1', '2.0.91.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -21, 194, -903, 1849], 'poly_str': '1 -21 194 -903 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, -21, 108], 'simple_distinct': ['1.43.am', '1.43.aj'], 'simple_factors': ['1.43.amA', '1.43.ajA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-2*F-V+7', '3,F^2-22*F-V+22'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.8281.2', 'splitting_polynomials': [[25, 0, -3, 0, 1]], 'twist_count': 4, 'twists': [['2.43.ad_aw', '2.1849.acb_fbc', 2], ['2.43.d_aw', '2.1849.acb_fbc', 2], ['2.43.v_hm', '2.1849.acb_fbc', 2]], 'weak_equivalence_count': 4, 'zfv_index': 18, 'zfv_index_factorization': [[2, 1], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2548, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-2*F-V+7', '3,F^2-22*F-V+22']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.am', 'galois_group': '2T1', 'places': [['18', '1'], ['24', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.aj', 'galois_group': '2T1', 'places': [['38', '1'], ['4', '1']]}
Abelian variety isogeny class data - 2.43.av_hm