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av_fq_isog • Show schema
{'abvar_count': 310, 'abvar_counts': [310, 145700, 47348470, 17009018000, 6141068412550, 2213294286971300, 798903219902086630, 288437766820755968000, 104127638082828413232790, 37589979226885121873542500], 'abvar_counts_str': '310 145700 47348470 17009018000 6141068412550 2213294286971300 798903219902086630 288437766820755968000 104127638082828413232790 37589979226885121873542500 ', 'angle_rank': 2, 'angles': [0.271143341350438, 0.564023332249715], 'center_dim': 4, 'curve_count': 16, 'curve_counts': [16, 402, 6904, 130518, 2480136, 47045442, 893755984, 16983348318, 322688589616, 6131067198802], 'curve_counts_str': '16 402 6904 130518 2480136 47045442 893755984 16983348318 322688589616 6131067198802 ', 'curves': ['y^2=18*x^6+12*x^4+4*x^3+11*x^2+5*x+16', 'y^2=18*x^6+7*x^5+x^4+10*x^3+7*x^2+14*x', 'y^2=13*x^6+6*x^5+8*x^4+9*x^3+4*x^2+3', 'y^2=17*x^6+7*x^5+13*x^4+14*x^3+x^2+11*x+4', 'y^2=8*x^6+11*x^5+18*x^4+13*x^3+17*x^2+11*x+6', 'y^2=18*x^6+5*x^5+5*x^4+9*x^3+17*x^2+14*x+17', 'y^2=15*x^6+14*x^5+x^4+11*x^3+2*x^2+5*x+17', 'y^2=12*x^6+18*x^5+x^3+4*x^2+11*x+14', 'y^2=3*x^6+12*x^5+10*x^4+x^3+12*x+2', 'y^2=5*x^6+18*x^5+14*x^4+15*x^3+18*x^2+17*x+16', 'y^2=3*x^6+14*x^5+8*x^4+x^3+12*x^2+18*x+3', 'y^2=17*x^5+7*x^4+7*x^3+13*x^2+18*x+16', 'y^2=8*x^6+5*x^5+18*x^4+4*x^3+8*x^2+13*x+10', 'y^2=14*x^6+14*x^5+12*x^4+5*x^3+5*x^2+10*x', 'y^2=13*x^6+8*x^5+3*x^4+16*x^2+16*x+15', 'y^2=15*x^6+2*x^5+11*x^4+3*x^3+9*x^2+11*x+14', 'y^2=14*x^6+10*x^5+13*x^4+18*x^3+18*x^2+14*x+17', 'y^2=3*x^6+15*x^5+15*x^4+12*x^3+4*x^2+10*x+15', 'y^2=7*x^6+10*x^5+5*x^4+6*x^2+10*x+10', 'y^2=17*x^6+13*x^5+x^4+12*x^3+9*x^2+15*x'], '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, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.9847040.2'], 'geometric_splitting_field': '4.0.9847040.2', 'geometric_splitting_polynomials': [[310, -28, 22, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 20, 'label': '2.19.ae_bc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.9847040.2'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 5, 1, 10]], 'poly': [1, -4, 28, -76, 361], 'poly_str': '1 -4 28 -76 361 ', 'primitive_models': [], 'principal_polarization_count': 20, 'q': 19, 'real_poly': [1, -4, -10], 'simple_distinct': ['2.19.ae_bc'], 'simple_factors': ['2.19.ae_bcA'], 'simple_multiplicities': [1], 'size': 20, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.9847040.2', 'splitting_polynomials': [[310, -28, 22, 0, 1]], 'twist_count': 2, 'twists': [['2.19.e_bc', '2.361.bo_bio', 2]], 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3140} -
av_fq_endalg_factors • Show schema
{'base_label': '2.19.ae_bc', 'extension_degree': 1, 'extension_label': '2.19.ae_bc', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.9847040.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.ae_bc', 'galois_group': '4T3', 'places': [['310/19', '23/19', '360/19', '1/19'], ['1', '1', '0', '0']]}
Abelian variety isogeny class data - 2.19.ae_bc