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av_fq_isog • Show schema
{'abvar_count': 315, 'abvar_counts': [315, 280665, 148916880, 78177832425, 41400181590075, 21915306183133440, 11593462650638869035, 6132688316249673249225, 3244154411726693360436240, 1716155791883303691727092825], 'abvar_counts_str': '315 280665 148916880 78177832425 41400181590075 21915306183133440 11593462650638869035 6132688316249673249225 3244154411726693360436240 1716155791883303691727092825 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.112386341891082, 0.39874255062814], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 532, 12240, 279364, 6432252, 148040494, 3405009396, 78311980036, 1801154605680, 41426510261332], 'curve_counts_str': '12 532 12240 279364 6432252 148040494 3405009396 78311980036 1801154605680 41426510261332 ', 'curves': ['y^2=2*x^6+21*x^5+19*x^4+x^3+14*x^2+10*x+12', 'y^2=2*x^6+14*x^5+22*x^4+9*x^3+22*x^2+2*x+19', 'y^2=22*x^6+7*x^5+20*x^4+2*x^3+11*x^2+19*x+15', 'y^2=2*x^6+12*x^5+5*x^4+17*x^3+19*x^2+4*x+1', 'y^2=17*x^6+7*x^5+22*x^4+15*x^3+20*x^2+17*x+22', 'y^2=12*x^6+13*x^5+9*x^4+7*x^3+8*x^2+6*x+19', 'y^2=x^6+22*x^5+14*x^4+15*x^3+14*x^2+22*x+1', 'y^2=20*x^6+3*x^5+3*x^4+5*x^3+4*x^2+11*x+21', 'y^2=22*x^6+13*x^5+5*x^4+9*x^3+5*x^2+13*x+22', 'y^2=4*x^6+6*x^5+21*x^4+6*x^3+21*x^2+14*x+17', 'y^2=10*x^6+15*x^5+13*x^4+22*x^3+9*x^2+9*x+12', 'y^2=22*x^6+19*x^5+5*x^4+4*x^3+19*x^2+17*x+4', 'y^2=7*x^6+20*x^5+11*x^4+15*x^3+22*x^2+13*x+19', 'y^2=2*x^6+12*x^5+8*x^4+8*x^3+6*x^2+x+3', 'y^2=10*x^6+11*x^5+15*x^4+x^3+11*x^2+18*x+2', 'y^2=19*x^6+21*x^5+8*x^4+12*x^3+13*x^2+17*x+15', 'y^2=11*x^6+15*x^5+3*x^4+11*x^3+20*x^2+5*x+11', 'y^2=20*x^6+5*x^4+11*x^3+11*x^2+17', 'y^2=22*x^6+x^5+16*x^4+16*x^3+4*x^2+16*x+19', 'y^2=20*x^6+x^5+2*x^4+5*x^3+5*x^2+18*x+17', 'y^2=x^6+12*x^5+19*x^4+9*x^3+17*x^2+4*x+12'], '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': 8, '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': ['2.0.11.1', '2.0.83.1'], 'geometric_splitting_field': '4.0.833569.1', 'geometric_splitting_polynomials': [[324, 0, 47, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 21, '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': 21, 'label': '2.23.am_cv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.11.1', '2.0.83.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 6], [2, 7, 1, 9]], 'poly': [1, -12, 73, -276, 529], 'poly_str': '1 -12 73 -276 529 ', 'primitive_models': [], 'principal_polarization_count': 24, 'q': 23, 'real_poly': [1, -12, 27], 'simple_distinct': ['1.23.aj', '1.23.ad'], 'simple_factors': ['1.23.ajA', '1.23.adA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,-6*F+V-7', '3,-F+4', '2,-F^2-7*V+4'], 'size': 60, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.833569.1', 'splitting_polynomials': [[324, 0, 47, 0, 1]], 'twist_count': 4, 'twists': [['2.23.ag_t', '2.529.c_ajd', 2], ['2.23.g_t', '2.529.c_ajd', 2], ['2.23.m_cv', '2.529.c_ajd', 2]], 'weak_equivalence_count': 8, 'zfv_index': 36, 'zfv_index_factorization': [[2, 2], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 18, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 913, 'zfv_singular_count': 6, 'zfv_singular_primes': ['3,-6*F+V-7', '3,-F+4', '2,-F^2-7*V+4']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.aj', 'galois_group': '2T1', 'places': [['18', '1'], ['4', '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.ad', 'galois_group': '2T1', 'places': [['21', '1'], ['1', '1']]}
Abelian variety isogeny class data - 2.23.am_cv