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gps_gl2zhat_fine • Show schema
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{'CPlabel': '24B2', '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, 24, 1], [1, 24, 0, 1], [23, 0, 0, 119], [24, 35, 85, 54], [24, 95, 25, 54], [24, 95, 65, 54], [24, 115, 5, 54], [25, 24, 96, 97], [26, 25, 65, 86], [94, 65, 95, 104], [94, 85, 115, 104], [96, 55, 25, 6], [96, 55, 65, 6], [96, 55, 85, 66]], 'cm_discriminants': [], 'coarse_class': '24.36.2.cw', 'coarse_class_num': 75, 'coarse_index': 36, 'coarse_label': '24.36.2.cw.1', 'coarse_level': 24, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[3, 2], [6, 1], [24, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['3.3.0.a.1', '40.24.0-8.o.1.8'], 'fine_num': 14, 'generators': [[7, 52, 68, 7], [37, 78, 90, 41], [56, 35, 77, 94], [64, 53, 31, 70], [65, 12, 42, 7], [77, 110, 86, 61]], 'genus': 2, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [20, 6, 2], [20, 24, 1], [24, 8, 2], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 12, 2], [40, 48, 1], [60, 24, 2], [60, 96, 1], [120, 48, 2], [120, 192, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [20, 24, 2], [20, 96, 1], [24, 32, 2], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 96, 2], [40, 384, 1], [60, 192, 2], [60, 768, 1], [120, 768, 2], [120, 3072, 1]], 'label': '120.72.2-24.cw.1.14', '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, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [20, 48, 2], [20, 192, 1], [24, 64, 2], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 192, 2], [40, 768, 1], [60, 384, 2], [60, 1536, 1], [120, 1536, 2], [120, 6144, 1]], 'parents': ['40.24.0-8.o.1.8', '60.36.1-12.c.1.8', '120.36.1-12.c.1.9'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 36, 'psl2label': '24.36.2.b.1', 'psl2level': 24, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.3.0.a.1', '4.6.0.c.1', '6.9.0.a.1', '6.9.0.a.1', '8.12.0.o.1', '12.18.1.c.1', '20.12.0-4.c.1.2', '24.36.2.cw.1', '40.24.0-8.o.1.8', '60.36.1-12.c.1.8'], 'scalar_label': '4.2.1', 'simple': False, 'sl2label': '24.36.2.b.1', 'sl2level': 24, 'squarefree': None, 'trace_hash': None, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '24B2', 'Glabel': None, 'RSZBlabel': '24.36.2.29', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [17, 0, 3, 11], 'canonical_generators': [[0, 1, 7, 18], [0, 1, 23, 18], [0, 5, 19, 18], [0, 7, 1, 6], [0, 7, 13, 18], [0, 7, 17, 6], [0, 13, 11, 18], [2, 1, 17, 14], [2, 7, 1, 16], [2, 11, 5, 16]], 'cm_discriminants': [-16], 'coarse_class': '24.36.2.cw', 'coarse_class_num': 75, 'coarse_index': 36, 'coarse_label': '24.36.2.cw.1', 'coarse_level': 24, 'coarse_num': 1, 'conductor': [[2, 6], [3, 4]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[3, 2], [6, 1], [24, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1, 1], 'factorization': ['3.3.0.a.1', '8.12.0.o.1'], 'fine_num': 0, 'generators': [[1, 8, 16, 13], [5, 4, 16, 1], [5, 13, 20, 17], [11, 12, 0, 17], [13, 11, 20, 11], [15, 16, 16, 9]], 'genus': 2, 'genus_minus_rank': 2, 'has_obstruction': -1, 'index': 36, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 8, 1], [12, 4, 2], [12, 16, 1], [24, 8, 2], [24, 32, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 4, 2], [8, 16, 1], [12, 8, 2], [12, 32, 1], [24, 32, 2], [24, 128, 1]], 'label': '24.36.2.cw.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '4.6.0.c.1', '6.9.0.a.1', '8.12.0.o.1', '12.18.1.c.1', '24.36.2.cw.1'], 'lattice_x': [5269, 8011, 2527, 8011, 3602, 8011, 4140, 6075], 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '8.55333223803211062208', 'prec': 74}, 'models': 3, 'mults': [1, 1], 'name': None, 'newforms': ['36.2.a.a', '144.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 1, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 8, 2], [8, 32, 1], [12, 16, 2], [12, 64, 1], [24, 64, 2], [24, 256, 1]], 'parents': ['8.12.0.o.1', '12.18.1.c.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': False, 'psl2index': 36, 'psl2label': '24.36.2.b.1', 'psl2level': 24, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '3.3.0.a.1', '4.6.0.c.1', '6.9.0.a.1', '8.12.0.o.1', '12.18.1.c.1'], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '24.36.2.b.1', 'sl2level': 24, 'squarefree': True, 'trace_hash': 1640662183200967935, 'traces': [0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 28, 0, 0, -20, 0, 0, 0, 28, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 52, 0, 4, 0, 0, 0, 0, 0, -44, 0, 0, 28, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, -44, 0, 0, -68, 0, 28, 0, 0, 0, 76, 0, 0, 0, -68, 0, 76, 0, -44, 0, 4, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -92, 0, 0, 0, 52, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 76, 100, 0, 0, 0, 0, -44, 0, 0, 100, 0, 0, 0, 52, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, -116, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, -20]}
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modcurve_models • Show schema
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id: 8910
{'dont_display': False, 'equation': ['x^2*w+y*w^2', 'x^2*z+y*z*w', 'x^2*y+y^2*w', 'x^3+x*y*w', '4*x*y^2+4*x*z^2-z*w^2', '4*y^3+4*y*z^2+x*z*w'], 'modcurve': '24.36.2.cw.1', 'model_type': 8, 'number_variables': 4, 'smooth': True, 'upload_id': None}
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id: 8911
{'dont_display': False, 'equation': ['x^5+x*y^2*z^2-2*y*z^4'], 'modcurve': '24.36.2.cw.1', 'model_type': 2, 'number_variables': 3, 'smooth': False, 'upload_id': None}
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id: 8912
{'dont_display': False, 'equation': ['-x^6+y^2+z^6'], 'modcurve': '24.36.2.cw.1', 'model_type': 5, 'number_variables': 3, 'smooth': True, 'upload_id': None}
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modcurve_modelmaps • Show schema
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id: 9291
{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['12*x*y*z^5*w-76*x*z^3*w^4-16*y^2*w^6-48*y*z^4*w^3-z^8+16*z^2*w^6', 'w*z^5*y*x'], 'degree': 36, 'domain_label': '24.36.2.cw.1', 'domain_model_type': 8, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2^6', '1'], 'upload_id': None}
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id: 9292
{'codomain_label': '24.36.2.cw.1', 'codomain_model_type': 2, 'coordinates': ['x', '2*z', '1/2*w'], 'degree': 1, 'domain_label': '24.36.2.cw.1', 'domain_model_type': 8, 'dont_display': False, 'factored': False, 'leading_coefficients': None, 'upload_id': None}
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id: 9293
{'codomain_label': '24.36.2.cw.1', 'codomain_model_type': 5, 'coordinates': ['-1/2*w', '-x*z*w+1/8*w^3', '-x'], 'degree': 1, 'domain_label': '24.36.2.cw.1', 'domain_model_type': 8, 'dont_display': False, 'factored': False, 'leading_coefficients': None, 'upload_id': None}
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modcurve_points • Show schema
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id: 1719721
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0:0:0:1', '0:0:1:0']}, 'curve_genus': 2, 'curve_index': 36, 'curve_label': '24.36.2.cw.1', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 1, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1719722
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0,0:0,1:1,0:0,0']}, 'curve_genus': 2, 'curve_index': 36, 'curve_label': '24.36.2.cw.1', 'curve_level': 24, '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}