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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4G0', 'Glabel': '96.189', 'RSZBlabel': '12.48.0.16', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 11, 6, 11], 'canonical_generators': [[1, 0, 4, 1], [1, 2, 2, 3], [1, 2, 8, 9], [1, 4, 0, 1], [5, 0, 0, 5], [5, 4, 8, 9], [9, 10, 4, 5]], 'cm_discriminants': [], 'coarse_class': '12.24.0.b', 'coarse_class_num': 2, 'coarse_index': 24, 'coarse_label': '12.24.0.b.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[4, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 1, 'generators': [[7, 8, 10, 9], [7, 10, 10, 9]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [12, 8, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [12, 16, 3]], 'label': '12.48.0-12.b.1.1', 'lattice_labels': None, 'lattice_x': None, 'level': 12, 'level_is_squarefree': False, 'level_radical': 6, '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, 3], [3, 8, 1], [4, 2, 4], [4, 4, 1], [6, 8, 3], [12, 16, 4], [12, 32, 1]], 'parents': ['4.24.0-4.a.1.1', '12.24.0-4.a.1.2', '12.24.0-12.b.1.1', '12.24.0-12.b.1.2', '12.24.0-12.b.1.3'], 'parents_conj': None, 'pointless': True, 'power': None, 'psl2index': 24, 'psl2label': '4.24.0.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', '2.6.0.a.1', '2.6.0.a.1', '4.24.0-4.a.1.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '4.48.0-4.a.1.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4G0', 'Glabel': '192.1475', 'RSZBlabel': '12.24.0.21', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 4, 1], [1, 2, 2, 3], [1, 2, 8, 9], [1, 4, 0, 1], [3, 2, 8, 7], [5, 4, 8, 9], [7, 0, 0, 7]], 'cm_discriminants': [], 'coarse_class': '12.24.0.b', 'coarse_class_num': 2, 'coarse_index': 24, 'coarse_label': '12.24.0.b.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[4, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 2, 8, 3], [5, 6, 4, 1], [9, 2, 2, 11]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [12, 8, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [12, 16, 3]], 'label': '12.24.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.b.1', '4.6.0.e.1', '4.12.0.a.1', '12.6.0.c.1', '12.6.0.f.1', '12.12.0.b.1', '12.12.0.o.1', '12.24.0.b.1'], 'lattice_x': [5932, 7288, 4576, 7034, 4830, 9237, 7034, 763, 2797, 3898, 9152, 7034], '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, 3], [3, 8, 1], [4, 4, 3], [6, 8, 3], [12, 32, 3]], 'parents': ['4.12.0.a.1', '12.12.0.b.1', '12.12.0.o.1'], 'parents_conj': [[1, 0, 0, 1], [11, 0, 7, 5], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 24, 'psl2label': '4.24.0.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', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.24.0.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': ['12*x^2+y^2+y*z+z^2'], 'modcurve': '12.24.0.b.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': ['20733493248*x^20+9303490560*x^18*y*z-8414035968*x^18*z^2+951123968*x^16*y*z^3-4828954624*x^16*z^4-414056448*x^14*y*z^5-632750080*x^14*z^6-88948736*x^12*y*z^7+4251648*x^12*z^8-4820992*x^10*y*z^9+8873984*x^10*z^10+235008*x^8*y*z^11+945152*x^8*z^12+39424*x^6*y*z^13+39168*x^6*z^14+2240*x^4*y*z^15+464*x^4*z^16+72*x^2*y*z^17-4*x^2*z^18+y*z^19', 'x^4*(4*x^2+z^2)^4*(12*x^2+z^2)^4'], 'degree': 24, 'domain_label': '12.24.0.b.1', 'domain_model_type': 2, 'dont_display': False, 'factored': True, 'leading_coefficients': None, 'upload_id': None}
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modcurve_points • Show schema
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id: 1663060
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['-1/6,1/3:0,0:1,0', '1/6,-1/3:0,0:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.b.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: 1663095
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'2': ['0,1/2:-2,0:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.b.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}