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av_fq_isog • Show schema
{'abvar_count': 3633, 'abvar_counts': [3633, 13198689, 51520662900, 191694076601769, 713342913033372153, 2654378705655436410000, 9876832533357979508336913, 36751704386063464208801387529, 136753052840547985320586254422100, 508858111574937146669317078595855409], 'abvar_counts_str': '3633 13198689 51520662900 191694076601769 713342913033372153 2654378705655436410000 9876832533357979508336913 36751704386063464208801387529 136753052840547985320586254422100 508858111574937146669317078595855409 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.119874499212938, 0.880125500787062], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 62, 'curve_counts': [62, 3544, 226982, 13844884, 844596302, 51520951438, 3142742836022, 191707367921764, 11694146092834142, 713342914403861704], 'curve_counts_str': '62 3544 226982 13844884 844596302 51520951438 3142742836022 191707367921764 11694146092834142 713342914403861704 ', 'curves': ['y^2=43*x^6+23*x^5+6*x^4+13*x^3+34*x^2+54*x+39', 'y^2=22*x^6+14*x^5+17*x^4+18*x^3+49*x^2+58*x+24', 'y^2=44*x^6+28*x^5+34*x^4+36*x^3+37*x^2+55*x+48', 'y^2=27*x^6+9*x^5+45*x^4+37*x^3+40*x^2+41*x+28', 'y^2=58*x^6+60*x^5+12*x^4+7*x^3+26*x^2+58*x+11', 'y^2=21*x^6+11*x^5+22*x^4+7*x^3+43*x^2+24*x+22', 'y^2=51*x^6+55*x^5+6*x^4+4*x^3+58*x^2+29*x+47', 'y^2=46*x^6+2*x^5+43*x^4+30*x^3+7*x^2+34*x+10', 'y^2=31*x^6+4*x^5+25*x^4+60*x^3+14*x^2+7*x+20', 'y^2=24*x^6+59*x^5+41*x^4+34*x^3+59*x^2+50*x+1', 'y^2=42*x^6+14*x^5+8*x^4+39*x^3+43*x^2+8*x+9', 'y^2=23*x^6+28*x^5+16*x^4+17*x^3+25*x^2+16*x+18', 'y^2=41*x^6+25*x^5+25*x^4+22*x^3+41*x^2+48*x+38', 'y^2=21*x^6+50*x^5+50*x^4+44*x^3+21*x^2+35*x+15', 'y^2=46*x^6+7*x^5+51*x^4+44*x^3+39*x^2+37*x+39', 'y^2=31*x^6+14*x^5+41*x^4+27*x^3+17*x^2+13*x+17', 'y^2=15*x^6+30*x^5+59*x^4+10*x^3+55*x^2+34*x+23', 'y^2=30*x^6+60*x^5+57*x^4+20*x^3+49*x^2+7*x+46'], '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': 1, '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': ['2.0.6963.1'], 'geometric_splitting_field': '2.0.6963.1', 'geometric_splitting_polynomials': [[1741, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, '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': 18, 'label': '2.61.a_adl', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.775733904.2'], 'p': 61, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 3, 2, 2], [1, 7, 1, 12]], 'poly': [1, 0, -89, 0, 3721], 'poly_str': '1 0 -89 0 3721 ', 'primitive_models': [], 'principal_polarization_count': 24, 'q': 61, 'real_poly': [1, 0, -211], 'simple_distinct': ['2.61.a_adl'], 'simple_factors': ['2.61.a_adlA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 24, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.775733904.2', 'splitting_polynomials': [[3721, 0, -89, 0, 1]], 'twist_count': 2, 'twists': [['2.61.a_dl', '2.13845841.abkw_cjcplj', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 24, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1089, 'zfv_singular_count': 0, 'zfv_singular_primes': []} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.775733904.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.61.a_adl', 'galois_group': '4T2', 'places': [['0', '89/61', '0', '3720/61'], ['0', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.6963.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3721.adl', 'galois_group': '2T1', 'places': [['16', '1'], ['44', '1']]}
Abelian variety isogeny class data - 2.61.a_adl