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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '40.48.0.826', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [21, 30, 0, 31], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 10, 1], [1, 4, 12, 35], [1, 8, 0, 1], [3, 8, 9, 3], [9, 8, 32, 33], [21, 0, 10, 21], [29, 0, 30, 29], [37, 32, 31, 17], [39, 32, 39, 15]], 'cm_discriminants': [], 'coarse_class': '40.24.0.bw', 'coarse_class_num': 49, 'coarse_index': 24, 'coarse_label': '40.24.0.bw.1', 'coarse_level': 40, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 4, 'generators': [[3, 0, 0, 29], [3, 12, 23, 11], [37, 12, 7, 33]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [20, 6, 2], [20, 24, 1], [40, 12, 2], [40, 48, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [20, 24, 2], [20, 96, 1], [40, 96, 2], [40, 384, 1]], 'label': '40.48.0-40.bw.1.4', 'lattice_labels': None, 'lattice_x': None, 'level': 40, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, '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': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [20, 48, 2], [20, 192, 1], [40, 192, 2], [40, 768, 1]], 'parents': ['8.24.0-8.o.1.2', '40.24.0-8.o.1.2', '40.24.0-20.h.1.2', '40.24.0-20.h.1.3', '40.24.0-40.ba.1.8', '40.24.0-40.ba.1.11'], 'parents_conj': None, 'pointless': True, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, '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', '2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.o.1.2', '20.12.0.h.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.48.0-8.b.1.2', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '40.24.0.204', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [11, 10, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 10, 1], [1, 4, 12, 35], [1, 8, 0, 1], [1, 8, 1, 25], [3, 8, 9, 3], [3, 8, 9, 23], [9, 8, 32, 33], [11, 0, 10, 11], [21, 0, 10, 21]], 'cm_discriminants': [], 'coarse_class': '40.24.0.bw', 'coarse_class_num': 49, 'coarse_index': 24, 'coarse_label': '40.24.0.bw.1', 'coarse_level': 40, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[13, 20, 5, 29], [15, 32, 6, 1], [17, 16, 6, 19], [23, 24, 24, 15]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [20, 6, 2], [20, 24, 1], [40, 12, 2], [40, 48, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [20, 24, 2], [20, 96, 1], [40, 96, 2], [40, 384, 1]], 'label': '40.24.0.bw.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '20.2.0.a.1', '20.6.0.a.1', '20.6.0.e.1', '20.12.0.h.1', '40.12.0.ba.1', '40.24.0.bw.1'], 'lattice_x': [2473, 3964, 6764, 6400, 982, 1164, 3782, 3782, 9018, 6400], 'level': 40, 'level_is_squarefree': False, 'level_radical': 10, '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], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [20, 48, 2], [20, 192, 1], [40, 192, 2], [40, 768, 1]], 'parents': ['8.12.0.o.1', '20.12.0.h.1', '40.12.0.ba.1'], 'parents_conj': [[20, 39, 9, 8], [1, 0, 0, 1], [37, 10, 23, 17]], 'pointless': True, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, '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', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '20.12.0.h.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve_models • Show schema
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{'dont_display': False, 'equation': ['16*x^2+80*y^2+5*z^2'], 'modcurve': '40.24.0.bw.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': ['(4096*x^4+1280*x^2*z^2+25*z^4)^3', 'z^8*x^2*(16*x^2+5*z^2)'], 'degree': 24, 'domain_label': '40.24.0.bw.1', 'domain_model_type': 2, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '5^4'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1766456
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['0,1/4:0,0:1,0', '0,-1/4:0,0:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bw.1', 'curve_level': 40, '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': '2.0.20.1', 'upload_id': None}
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id: 1766457
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['0,0:0,1/4:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bw.1', 'curve_level': 40, '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}