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av_fq_isog • Show schema
{'abvar_count': 3600, 'abvar_counts': [3600, 12960000, 51519920400, 191501314560000, 713342909973690000, 2654302198022336160000, 9876832533355032609440400, 36751683239242717685391360000, 136753052840547982507057549539600, 508858107209731996076492216100000000], 'abvar_counts_str': '3600 12960000 51519920400 191501314560000 713342909973690000 2654302198022336160000 9876832533355032609440400 36751683239242717685391360000 136753052840547982507057549539600 508858107209731996076492216100000000 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.0, 0.0, 1.0, 1.0], 'center_dim': 2, 'curve_count': 62, 'curve_counts': [62, 3478, 226982, 13830958, 844596302, 51519466438, 3142742836022, 191707257613918, 11694146092834142, 713342908284497398], 'curve_counts_str': '62 3478 226982 13830958 844596302 51519466438 3142742836022 191707257613918 11694146092834142 713342908284497398 ', 'curves': ['y^2=x^6+44*x^3+28', 'y^2=x^6+31*x^3+23', 'y^2=20*x^6+46*x^5+33*x^4+50*x^3+46*x^2+9*x+11', 'y^2=42*x^6+43*x^5+48*x^4+20*x^2+26*x+49', 'y^2=x^6+x^3+11', 'y^2=20*x^6+45*x^5+60*x^4+33*x^3+28*x^2+22*x+38', 'y^2=52*x^6+51*x^5+59*x^4+40*x^3+31*x^2+16*x+40', 'y^2=43*x^6+41*x^5+57*x^4+19*x^3+x^2+32*x+19', 'y^2=x^5+60*x', 'y^2=45*x^6+50*x^5+23*x^4+33*x^3+25*x^2+54*x+21', 'y^2=42*x^6+53*x^5+51*x^4+36*x^3+58*x^2+31*x+32'], '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': ['2T1'], '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 11, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 11, 'label': '2.61.a_aes', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [2, 3, 5], 'number_fields': ['2.2.61.1'], 'p': 61, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, -122, 0, 3721], 'poly_str': '1 0 -122 0 3721 ', 'primitive_models': [], 'q': 61, 'real_poly': [1, 0, -244], 'simple_distinct': ['2.61.a_aes'], 'simple_factors': ['2.61.a_aesA'], 'simple_multiplicities': [1], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.2.61.1', 'splitting_polynomials': [[-15, -1, 1]], 'twist_count': 5, 'twists': [['2.61.a_cj', '2.226981.a_azvoc', 3], ['2.61.a_es', '2.13845841.awam_gzuqcc', 4], ['2.61.a_a', '2.191707312997281.aerfcbk_idwdbaehcss', 8], ['2.61.a_acj', '2.2654348974297586158321.azrcxwwee_jmwvnvdknrvjrumg', 12]]} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0'], 'center': '2.2.61.1', 'center_dim': 2, 'divalg_dim': 4, 'extension_label': '2.61.a_aes', 'galois_group': '2T1', 'places': [['30', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.3721.aes', 'galois_group': '1T1', 'places': [['0']]}
Abelian variety isogeny class data - 2.61.a_aes