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av_fq_isog • Show schema
{'abvar_count': 486, 'abvar_counts': [486, 306180, 148243608, 78492304800, 41466866711346, 21911229496860480, 11592124178634088722, 6132618628849668009600, 3244153203440214799189752, 1716155772691442668164324900], 'abvar_counts_str': '486 306180 148243608 78492304800 41466866711346 21911229496860480 11592124178634088722 6132618628849668009600 3244153203440214799189752 1716155772691442668164324900 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.28487738277385, 0.60125744937186], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 21, 'curve_counts': [21, 577, 12186, 280489, 6442611, 148012954, 3404616285, 78311090161, 1801153934838, 41426509798057], 'curve_counts_str': '21 577 12186 280489 6442611 148012954 3404616285 78311090161 1801153934838 41426509798057 ', 'curves': ['y^2=7*x^6+14*x^5+6*x^4+12*x^3+14*x^2+6*x+5', 'y^2=5*x^6+6*x^5+16*x^4+15*x^3+13*x^2+19*x+13', 'y^2=19*x^6+19*x^5+12*x^4+12*x^3+17*x^2+x+18', 'y^2=15*x^6+20*x^5+7*x^4+15*x^3+x^2+19*x+9', 'y^2=2*x^5+3*x^4+2*x^3+21*x^2+20', 'y^2=x^6+15*x^4+15*x^3+3*x^2+21*x+22', 'y^2=4*x^6+21*x^5+10*x^4+10*x^3+10*x^2+20*x+14', 'y^2=8*x^6+12*x^5+9*x^4+10*x^2+17*x+12', 'y^2=3*x^6+7*x^5+3*x^4+16*x^3+18*x^2+16*x+11', 'y^2=3*x^6+4*x^5+17*x^4+17*x^3+17*x^2+21*x+4', 'y^2=14*x^6+11*x^5+17*x^4+5*x^3+20*x^2+4*x+14', 'y^2=9*x^6+12*x^5+3*x^4+9*x^3+21*x^2+16*x+7', 'y^2=3*x^6+15*x^5+8*x^4+20*x^3+12*x+13', 'y^2=13*x^6+15*x^5+2*x^4+11*x^3+7*x^2+20*x+16', 'y^2=8*x^6+22*x^5+11*x^4+11*x^3+8*x^2+4*x+7', 'y^2=16*x^6+22*x^5+4*x^4+22*x^3+15*x^2+8*x+20', 'y^2=5*x^6+12*x^5+14*x^4+3*x^3+12*x+1', 'y^2=7*x^6+5*x^5+15*x^4+22*x^3+18*x^2+8*x+16', 'y^2=14*x^6+3*x^5+6*x^4+7*x^3+17*x^2+22*x+3', 'y^2=12*x^6+2*x^5+20*x^4+19*x^3+22*x^2+4*x+1', 'y^2=15*x^6+14*x^5+6*x^4+11*x^3+2*x^2+4*x+4', 'y^2=20*x^6+4*x^5+7*x^4+6*x^3+7*x^2+4*x+5', 'y^2=20*x^6+4*x^5+3*x^4+6*x^3+21*x^2+11*x+9', 'y^2=x^6+17*x^5+12*x^4+11*x^3+4*x^2+5*x+7', 'y^2=7*x^6+13*x^5+14*x^4+4*x^3+22*x^2+16*x+21', 'y^2=22*x^6+6*x^5+6*x^4+x^3+12*x^2+x+5', 'y^2=3*x^6+22*x^5+18*x^4+16*x^3+18*x^2+22*x+13', 'y^2=7*x^6+21*x^5+3*x^4+11*x^3+2*x^2+22*x+8', 'y^2=5*x^6+4*x^5+17*x^4+16*x^3+15*x^2+19*x+4', 'y^2=4*x^6+15*x^5+10*x^4+18*x^3+14*x^2+11*x+14', 'y^2=21*x^6+11*x^5+5*x^4+21*x^3+22*x^2+11*x+16', 'y^2=10*x^6+15*x^5+18*x^4+16*x^3+6*x^2+18*x', 'y^2=x^6+13*x^5+12*x^4+8*x^3+20*x^2+20*x+19', 'y^2=15*x^6+x^5+12*x^4+17*x^3+19*x^2+10*x+9', 'y^2=9*x^5+20*x^4+13*x^3+4*x^2+x+17', 'y^2=17*x^6+2*x^5+13*x^3+x^2+20*x+9', 'y^2=15*x^6+3*x^5+2*x^4+10*x^3+6*x^2+13*x+10', 'y^2=5*x^6+15*x^5+22*x^4+x^3+8*x^2+18*x+6', 'y^2=19*x^6+7*x^5+17*x^4+7*x^3+5*x^2+x', 'y^2=22*x^6+8*x^5+13*x^4+12*x^3+13*x^2+16*x+5', 'y^2=4*x^6+14*x^4+17*x^3+3*x^2+3*x+16', 'y^2=8*x^6+16*x^5+17*x^4+7*x^3+7*x^2+9*x+15', 'y^2=16*x^6+7*x^5+2*x^4+10*x^3+2*x^2+22*x', 'y^2=17*x^6+16*x^5+9*x^4+12*x^3+18*x^2+7*x+11', 'y^2=20*x^6+15*x^5+20*x^4+10*x^3+4*x^2+17*x+11', 'y^2=7*x^6+14*x^5+14*x^4+15*x^3+22*x^2+22*x+7', 'y^2=22*x^6+18*x^5+15*x^4+14*x^3+7*x^2+12*x+11', 'y^2=18*x^6+9*x^5+4*x^4+6*x^3+x^2+x'], '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': 9, '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': ['2.0.56.1', '2.0.83.1'], 'geometric_splitting_field': '4.0.21603904.2', 'geometric_splitting_polynomials': [[63, -70, 71, -2, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 48, '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': 48, 'label': '2.23.ad_bc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.56.1', '2.0.83.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -3, 28, -69, 529], 'poly_str': '1 -3 28 -69 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, -3, -18], 'simple_distinct': ['1.23.ag', '1.23.d'], 'simple_factors': ['1.23.agA', '1.23.dA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F-14', '3,5*F-2'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.21603904.2', 'splitting_polynomials': [[63, -70, 71, -2, 1]], 'twist_count': 4, 'twists': [['2.23.aj_cm', '2.529.bv_ccy', 2], ['2.23.d_bc', '2.529.bv_ccy', 2], ['2.23.j_cm', '2.529.bv_ccy', 2]], 'weak_equivalence_count': 9, 'zfv_index': 81, 'zfv_index_factorization': [[3, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4648, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,F-14', '3,5*F-2']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.56.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.ag', 'galois_group': '2T1', 'places': [['20', '1'], ['3', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.83.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.d', 'galois_group': '2T1', 'places': [['1', '1'], ['21', '1']]}
Abelian variety isogeny class data - 2.23.ad_bc