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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 0, 30, 1], [1, 0, 100, 1], [1, 50, 5, 81], [1, 50, 100, 51], [19, 20, 40, 39], [23, 0, 0, 119], [61, 0, 0, 1], [89, 0, 90, 89], [107, 108, 12, 11], [119, 20, 0, 119], [119, 20, 95, 39], [119, 108, 0, 119]], 'cm_discriminants': [], 'coarse_class': '12.12.0.e', 'coarse_class_num': 5, 'coarse_index': 12, 'coarse_label': '12.12.0.e.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 1, 'generators': [[69, 56, 23, 33], [85, 16, 74, 33], [87, 82, 62, 69], [109, 28, 10, 53]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 8, 1], [12, 16, 1], [15, 24, 1], [20, 12, 1], [20, 24, 1], [24, 16, 1], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 24, 1], [40, 48, 1], [60, 48, 1], [60, 96, 1], [120, 96, 1], [120, 192, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 16, 1], [12, 32, 1], [15, 96, 1], [20, 48, 1], [20, 96, 1], [24, 64, 1], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 192, 1], [40, 384, 1], [60, 384, 1], [60, 768, 1], [120, 1536, 1], [120, 3072, 1]], 'label': '120.24.0-12.e.1.1', 'lattice_labels': None, 'lattice_x': None, 'level': 120, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 32, 1], [12, 64, 1], [15, 192, 1], [20, 96, 1], [20, 192, 1], [24, 128, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 384, 1], [40, 768, 1], [60, 768, 1], [60, 1536, 1], [120, 3072, 1], [120, 6144, 1]], 'parents': ['40.12.0-4.b.1.3', '120.12.0-4.b.1.1'], 'parents_conj': None, 'pointless': True, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.b.1', '4.6.0.b.1', '4.6.0.b.1', '6.6.0.a.1', '6.6.0.a.1', '12.12.0.e.1', '12.12.0.e.1', '12.12.0.e.1', '40.12.0-4.b.1.3'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': '384.5724', 'RSZBlabel': '12.12.0.14', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [0, 11, 11, 0], 'canonical_generators': [[1, 0, 4, 1], [1, 0, 6, 1], [1, 2, 4, 3], [1, 2, 5, 9], [1, 4, 0, 1], [1, 4, 1, 9], [5, 4, 8, 9], [7, 0, 6, 7]], 'cm_discriminants': [], 'coarse_class': '12.12.0.e', 'coarse_class_num': 5, 'coarse_index': 12, 'coarse_label': '12.12.0.e.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[5, 0, 10, 11], [11, 11, 10, 11]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [6, 4, 1], [6, 8, 1], [12, 8, 1], [12, 16, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [6, 4, 1], [6, 8, 1], [12, 16, 1], [12, 32, 1]], 'label': '12.12.0.e.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.b.1', '6.2.0.a.1', '6.6.0.a.1', '12.6.0.g.1', '12.12.0.e.1'], 'lattice_x': [3350, 5370, 5123, 1330, 1576, 8670, 5123], 'level': 12, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 0, 'obstructions': [0], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 1], [4, 8, 1], [6, 8, 1], [6, 16, 1], [12, 32, 1], [12, 64, 1]], 'parents': ['4.6.0.b.1', '6.6.0.a.1', '12.6.0.g.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.b.1', '6.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve_models • Show schema
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{'dont_display': False, 'equation': ['x^2+48*y^2+x*z+z^2'], 'modcurve': '12.12.0.e.1', 'model_type': 2, 'number_variables': 3, 'smooth': True, 'upload_id': None}
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modcurve_modelmaps • Show schema
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{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['z^3*(x+z)^3', '(x+2*z)^2*(x^2+x*z+z^2)^2'], 'degree': 12, 'domain_label': '12.12.0.e.1', 'domain_model_type': 2, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2^8*3^3', '1'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1709660
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['-1,1:0,0:1,0']}, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '12.12.0.e.1', 'curve_level': 12, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.0.3.1', 'upload_id': None}
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id: 1709661
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['-2,0:0,1/4:1,0']}, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '12.12.0.e.1', 'curve_level': 12, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.0.4.1', 'upload_id': None}