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av_fq_isog • Show schema
{'abvar_count': 1789, 'abvar_counts': [1789, 3200521, 6321474436, 11688049850841, 21611482524392989, 39961039045001518096, 73885357343762552698261, 136614185555539288600355625, 252599333573497330426178259364, 467056176902143560387402912354121], 'abvar_counts_str': '1789 3200521 6321474436 11688049850841 21611482524392989 39961039045001518096 73885357343762552698261 136614185555539288600355625 252599333573497330426178259364 467056176902143560387402912354121 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.124505058505695, 0.875494941494305], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 44, 'curve_counts': [44, 1728, 79508, 3418756, 147008444, 6321585822, 271818611108, 11688213951748, 502592611936844, 21611482735501728], 'curve_counts_str': '44 1728 79508 3418756 147008444 6321585822 271818611108 11688213951748 502592611936844 21611482735501728 ', 'curves': ['y^2=2*x^6+14*x^5+11*x^4+12*x^3+34*x^2+21*x+21', 'y^2=22*x^6+26*x^5+20*x^4+2*x^3+22*x^2+18*x+17', 'y^2=23*x^6+35*x^5+17*x^4+6*x^3+23*x^2+11*x+8', 'y^2=6*x^6+35*x^5+32*x^4+5*x^3+11*x^2+21*x+21', 'y^2=34*x^6+18*x^5+6*x^4+22*x^3+27*x^2+42*x+13', 'y^2=23*x^6+11*x^5+9*x^4+19*x^3+8*x^2+16*x+15', 'y^2=8*x^6+2*x^5+11*x^4+37*x^3+31*x^2+16*x+20', 'y^2=24*x^6+6*x^5+33*x^4+25*x^3+7*x^2+5*x+17', 'y^2=15*x^6+41*x^5+13*x^4+7*x^3+28*x^2+15*x+14', 'y^2=39*x^6+11*x^5+28*x^4+12*x^3+12*x^2+10*x+21', 'y^2=31*x^6+33*x^5+41*x^4+36*x^3+36*x^2+30*x+20', 'y^2=26*x^6+29*x^5+13*x^4+24*x^3+21*x^2+4*x+10', 'y^2=38*x^6+15*x^5+27*x^4+31*x^3+7*x^2+20*x+33', 'y^2=28*x^6+2*x^5+38*x^4+7*x^3+21*x^2+17*x+13', 'y^2=19*x^6+42*x^5+15*x^4+4*x^3+9*x^2+39*x+17', 'y^2=14*x^6+40*x^5+2*x^4+12*x^3+27*x^2+31*x+8', 'y^2=8*x^6+12*x^5+35*x^4+42*x^3+28*x^2+21*x+29', 'y^2=24*x^6+36*x^5+19*x^4+40*x^3+41*x^2+20*x+1', 'y^2=29*x^6+36*x^5+17*x^4+3*x^3+23*x^2+x+16', 'y^2=37*x^6+41*x^5+2*x^4+3*x^3+16*x^2+34*x+36', 'y^2=25*x^6+37*x^5+6*x^4+9*x^3+5*x^2+16*x+22'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 21, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 21, 'label': '2.43.a_acj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.144.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 13, 1, 6], [1, 37, 1, 12]], 'poly': [1, 0, -61, 0, 1849], 'poly_str': '1 0 -61 0 1849 ', 'primitive_models': [], 'principal_polarization_count': 31, 'q': 43, 'real_poly': [1, 0, -147], 'simple_distinct': ['2.43.a_acj'], 'simple_factors': ['2.43.a_acjA'], 'simple_multiplicities': [1], 'singular_primes': ['5,3*F^2-4*F-V+6', '7,25*F^2+88*F-59*V-3'], 'size': 29, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 24, 'twists': [['2.43.a_aw', '2.79507.a_giuc', 3], ['2.43.a_df', '2.79507.a_giuc', 3], ['2.43.ak_eh', '2.3418801.abu_ozbpb', 4], ['2.43.a_cj', '2.3418801.abu_ozbpb', 4], ['2.43.k_eh', '2.3418801.abu_ozbpb', 4], ['2.43.aba_jv', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.av_hi', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.as_fv', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.aq_fu', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.an_ew', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.ai_v', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.af_as', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.ad_bu', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.a_adf', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.a_w', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.d_bu', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.f_as', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.i_v', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.n_ew', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.q_fu', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.s_fv', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.v_hi', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12], ['2.43.ba_jv', '2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg', 12]], 'weak_equivalence_count': 4, 'zfv_index': 1225, 'zfv_index_factorization': [[5, 2], [7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 24, 'zfv_plus_index': 7, 'zfv_plus_index_factorization': [[7, 1]], 'zfv_plus_norm': 625, 'zfv_singular_count': 4, 'zfv_singular_primes': ['5,3*F^2-4*F-V+6', '7,25*F^2+88*F-59*V-3']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.43.a_acj', 'galois_group': '4T2', 'places': [['36', '0', '1', '0'], ['6', '0', '1', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1849.acj', 'galois_group': '2T1', 'places': [['6', '1'], ['36', '1']]}
Abelian variety isogeny class data - 2.43.a_acj