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av_fq_isog • Show schema
{'abvar_count': 2297, 'abvar_counts': [2297, 11891569, 42239634068, 146875063791817, 511120340776624097, 1779189784796691984784, 6193382700846714519664841, 21559178370885850543050345033, 75047498665061469529185220762676, 261240336938898631674759794322638209], 'abvar_counts_str': '2297 11891569 42239634068 146875063791817 511120340776624097 1779189784796691984784 6193382700846714519664841 21559178370885850543050345033 75047498665061469529185220762676 261240336938898631674759794322638209 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0976023068365729, 0.291607162986704], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 36, 'curve_counts': [36, 3416, 205668, 12121044, 714929316, 42180352670, 2488650073596, 146830444168420, 8662996062338364, 511116756106868936], 'curve_counts_str': '36 3416 205668 12121044 714929316 42180352670 2488650073596 146830444168420 8662996062338364 511116756106868936 ', 'curves': ['y^2=14*x^6+57*x^5+21*x^4+3*x^3+47*x^2+39*x+14', 'y^2=14*x^6+53*x^5+25*x^4+51*x^3+58*x^2+46*x+32', 'y^2=37*x^6+43*x^5+33*x^4+57*x^3+47*x^2+20', 'y^2=23*x^6+14*x^5+32*x^4+9*x^3+23*x^2+27*x+37'], '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': ['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': ['4.0.2503312.2'], 'geometric_splitting_field': '4.0.2503312.2', 'geometric_splitting_polynomials': [[277, -84, 39, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.59.ay_jv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.2503312.2'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 29, 1, 2], [1, 31, 1, 2]], 'poly': [1, -24, 255, -1416, 3481], 'poly_str': '1 -24 255 -1416 3481 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 59, 'real_poly': [1, -24, 137], 'simple_distinct': ['2.59.ay_jv'], 'simple_factors': ['2.59.ay_jvA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2503312.2', 'splitting_polynomials': [[277, -84, 39, 0, 1]], 'twist_count': 2, 'twists': [['2.59.y_jv', '2.3481.aco_fyp', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 4, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3193, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.59.ay_jv', 'extension_degree': 1, 'extension_label': '2.59.ay_jv', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.2503312.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.ay_jv', 'galois_group': '4T3', 'places': [['34', '1', '0', '0'], ['13', '1', '0', '0'], ['1690/59', '230/59', '17/59', '7/59'], ['3401/59', '230/59', '17/59', '7/59']]}
Abelian variety isogeny class data - 2.59.ay_jv