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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12F1', 'Glabel': None, 'RSZBlabel': '60.48.1.116', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [29, 0, 28, 7], 'canonical_generators': [[0, 1, 23, 10], [0, 1, 29, 22], [0, 1, 43, 36], [0, 11, 1, 56], [0, 59, 49, 44], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 48, 49], [24, 35, 25, 44], [36, 5, 55, 56], [54, 35, 25, 14]], 'cm_discriminants': [], 'coarse_class': '60.24.1.v', 'coarse_class_num': 22, 'coarse_index': 24, 'coarse_label': '60.24.1.v.1', 'coarse_level': 60, 'coarse_num': 1, 'conductor': [[2, 3], [3, 2], [5, 2]], 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4]], 'cusp_widths': [[2, 1], [4, 1], [6, 1], [12, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 9, 'generators': [[1, 18, 36, 35], [11, 18, 12, 5], [14, 37, 15, 8], [35, 42, 18, 25]], 'genus': 1, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1]], 'label': '60.48.1-60.v.1.9', 'lattice_labels': None, 'lattice_x': None, 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': {'__RealLiteral__': 0, 'data': '7.49554194388425606024', 'prec': 74}, 'models': None, 'mults': [1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 8, 'num_known_degree1_noncusp_points': 8, 'num_known_degree1_points': 9, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1]], 'parents': ['12.24.0-6.a.1.6', '60.24.0-6.a.1.4'], 'parents_conj': None, 'pointless': False, 'power': True, 'psl2index': 24, 'psl2label': '12.24.1.c.1', 'psl2level': 12, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 1, 'rational_cusps': 4, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.6'], 'scalar_label': '3.2.1', 'simple': True, 'sl2label': '12.48.1-12.c.1.3', 'sl2level': 12, 'squarefree': True, 'trace_hash': 216699688454642961, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12F1', 'Glabel': None, 'RSZBlabel': '60.24.1.9', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [19, 0, 8, 17], 'canonical_generators': [[0, 1, 11, 16], [0, 1, 23, 10], [0, 1, 29, 22], [0, 1, 43, 36], [0, 11, 1, 56], [1, 0, 12, 1], [1, 12, 0, 1], [6, 25, 35, 46], [13, 12, 48, 49], [36, 5, 55, 56], [36, 25, 35, 16]], 'cm_discriminants': [], 'coarse_class': '60.24.1.v', 'coarse_class_num': 22, 'coarse_index': 24, 'coarse_label': '60.24.1.v.1', 'coarse_level': 60, 'coarse_num': 1, 'conductor': [[2, 3], [3, 2], [5, 2]], 'contains_negative_one': True, 'curve_label': '1800.m3', 'cusp_orbits': [[1, 4]], 'cusp_widths': [[2, 1], [4, 1], [6, 1], [12, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[2, 29, 15, 52], [5, 56, 12, 25], [17, 26, 12, 55], [52, 3, 9, 38], [53, 30, 18, 7]], 'genus': 1, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1]], 'label': '60.24.1.v.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.6.0.d.1', '60.24.1.v.1'], 'lattice_x': [3750, 5544, 2011, 5000, 8533, 6739], 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': {'__RealLiteral__': 0, 'data': '7.49554194388425606024', 'prec': 74}, 'models': 1, 'mults': [1], 'name': None, 'newforms': ['1800.2.a.m'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 8, 'num_known_degree1_noncusp_points': 8, 'num_known_degree1_points': 9, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1]], 'parents': ['6.12.0.a.1', '60.6.0.d.1'], 'parents_conj': [[41, 42, 9, 7], [42, 49, 47, 21]], 'pointless': False, 'power': True, 'psl2index': 24, 'psl2label': '12.24.1.c.1', 'psl2level': 12, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 1, 'rational_cusps': 4, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '6.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '12.24.1.c.1', 'sl2level': 12, 'squarefree': True, 'trace_hash': 216699688454642961, 'traces': [0, 0, 0, 0, -4, 2, 2, -4, -8, -6, 8, -6, 6, -4, 0, -2, -4, -2, 4, -8, -10, -8, -4, 6, -2, 18, -16, -12, -2, 18, 8, 4, -6, -12, -14, -16, 2, -12, 24, 6, -12, 6, 0, -2, -18, 16, -20, 8, 12, 22, 10, 16, 18, -20, 2, -8, 10, 8, 26, -26, 28, -18, -12, 24, 6, 6, 20, -18, -12, 30, 2, 24, 8, 10, 20, 0, 2, -14, 30, -6, -12, -10, -32, 14, 0, 20, 14, 22, 26, -8, -36, 16, 32, 12, 12, 24, -6, -26, -4, -18, -44, -26, 28, -10, 36, -2, -44, -14, -24, -38, 40, -38, 42, -44, 16, 14, -12, 8, 6, -12, -10, -34, -2, 4, -4, -6, -10, 32, -48, -14, -4, -8, 24, -38, 22, 2, -18, -28, 22, -26, 4, -30, 16, -28, -50, 24, 10, 42, -12, -32, 18, -50, 4, 8, -4, -16, 16, -50, -42, -6, 12, -54, 16, -36, -30, -24, 40, 26]}
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modcurve_models • Show schema
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{'dont_display': False, 'equation': ['x^3-y^2*z-5475*x*z^2+148750*z^3'], 'modcurve': '60.24.1.v.1', 'model_type': 5, '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': ['60*x^2*y^6-15339375*x^2*y^4*z^2+1047026250000*x^2*y^2*z^4-23666308681640625*x^2*z^6-7350*x*y^6*z+1306125000*x*y^4*z^3-89389353515625*x*y^2*z^5+2040759965917968750*x*z^7-y^8+312000*y^6*z^2-35751375000*y^4*z^4+2000370304687500*y^2*z^6-42966811672119140625*z^8', 'z^4*y^2*(120*x^2-10200*x*z-y^2+210000*z^2)'], 'degree': 24, 'domain_label': '60.24.1.v.1', 'domain_model_type': 5, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '3^6*5^6'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1824797
{'Elabel': None, 'ainvs': None, 'cardinality': 4, 'cm': 0, 'conductor_norm': None, 'coordinates': {'5': ['0:1:0', '50:0:1', '35:0:1', '-85:0:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, '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: 956
{'Elabel': '30.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 30, 'coordinates': {'5': ['131:-1296:1', '131:1296:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 29.0427190292343, 'jinv': '4102915888729/9000000', 'jorig': '4102915888729/9000000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1015
{'Elabel': '30.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 30, 'coordinates': {'5': ['75:-400:1', '75:400:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 20.3702917065417, 'jinv': '702595369/72900', 'jorig': '702595369/72900', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1034
{'Elabel': '30.a7', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 30, 'coordinates': {'5': ['65/4:-2025/8:1', '65/4:2025/8:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 19.4262981501123, 'jinv': '-273359449/1536000', 'jorig': '-273359449/1536000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1055
{'Elabel': '30.a8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 30, 'coordinates': {'5': ['-10:-450:1', '-10:450:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 12.7880396311239, 'jinv': '357911/2160', 'jorig': '357911/2160', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 549638
{'Elabel': '167790.bx2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 167790, 'coordinates': {'5': ['34850/49:-6471900/343:1', '34850/49:6471900/343:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 86.3015017969832, 'jinv': '30218020423746445491048161330249640961/2483613169007730825212985600', 'jorig': '30218020423746445491048161330249640961/2483613169007730825212985600', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 549661
{'Elabel': '167790.bx4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 167790, 'coordinates': {'5': ['71435/2209:-7711200/103823:1', '71435/2209:7711200/103823:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 86.294967741173, 'jinv': '-30021217851507300927210684827921045761/274011924248998488124825832421360', 'jorig': '-30021217851507300927210684827921045761/274011924248998488124825832421360', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 549683
{'Elabel': '167790.bx6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 167790, 'coordinates': {'5': ['849/16:-5593/64:1', '849/16:5593/64:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 73.4170299777751, 'jinv': '76667446194192679894217514408961/24465204734993107255296000000', 'jorig': '76667446194192679894217514408961/24465204734993107255296000000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 549707
{'Elabel': '167790.bx8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 167790, 'coordinates': {'5': ['-18685/289:-2368800/4913:1', '-18685/289:2368800/4913:1']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '60.24.1.v.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 76.5344810781674, 'jinv': '1731820226385822596366650049111039/1925787189632582872062383616000', 'jorig': '1731820226385822596366650049111039/1925787189632582872062383616000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}