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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8B1', 'Glabel': None, 'RSZBlabel': '56.24.1.43', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 7], 'canonical_conjugator': [45, 0, 7, 31], 'canonical_generators': [[1, 0, 8, 1], [1, 1, 12, 7], [1, 1, 46, 7], [1, 1, 52, 47], [1, 1, 54, 35], [1, 8, 0, 1], [1, 42, 28, 1], [9, 8, 48, 49], [29, 42, 28, 29], [43, 42, 28, 43]], 'cm_discriminants': [-4], 'coarse_class': '56.24.1.dp', 'coarse_class_num': 94, 'coarse_index': 24, 'coarse_label': '56.24.1.dp.1', 'coarse_level': 56, 'coarse_num': 1, 'conductor': [[2, 6], [7, 2]], 'contains_negative_one': True, 'curve_label': '3136.m4', 'cusp_orbits': [[2, 2]], 'cusp_widths': [[4, 2], [8, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[2, 49, 15, 18], [20, 53, 47, 0], [22, 1, 3, 50], [33, 28, 28, 43]], 'genus': 1, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [7, 8, 1], [8, 4, 1], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 16, 1], [28, 32, 1], [56, 32, 1], [56, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [7, 24, 1], [8, 8, 1], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 96, 1], [28, 192, 1], [56, 384, 1], [56, 768, 1]], 'label': '56.24.1.dp.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.e.1', '8.12.0.y.1', '56.2.0.b.1', '56.6.0.b.1', '56.6.0.d.1', '56.12.0.bn.1', '56.12.1.c.1', '56.24.1.dp.1'], 'lattice_x': [2473, 3964, 6400, 9018, 982, 1164, 3782, 3782, 6400, 6400], 'level': 56, 'level_is_squarefree': False, 'level_radical': 14, 'log_conductor': {'__RealLiteral__': 0, 'data': '8.05070338147029846671', 'prec': 74}, 'models': 1, 'mults': [1], 'name': None, 'newforms': ['3136.2.a.m'], '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': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [7, 48, 1], [8, 16, 1], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 192, 1], [28, 384, 1], [56, 768, 1], [56, 1536, 1]], 'parents': ['8.12.0.y.1', '56.12.0.bn.1', '56.12.1.c.1'], 'parents_conj': [[55, 39, 53, 0], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 24, 'psl2label': '8.24.1.a.1', 'psl2level': 8, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 1, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.e.1', '4.6.0.e.1', '8.12.0.y.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '8.24.1.a.1', 'sl2level': 8, 'squarefree': True, 'trace_hash': 2150367284721650669, 'traces': [0, 0, -2, 0, 0, 6, -2, 0, 0, 10, 0, 2, -10, 0, 0, -14, 0, -10, 0, 0, 6, 0, 0, -10, -18, -2, 0, 0, -6, -14, 0, 0, -22, 0, -14, 0, 22, 0, 0, -26, 0, -18, 0, -14, 2, 0, 0, 0, 0, 30, 26, 0, 30, 0, -2, 0, -26, 0, 18, 10, 0, -34, 0, 0, -26, -22, 0, 18, 0, -10, -34, 0, 0, -14, 0, 0, 34, 38, 2, 6, 0, -30, 0, -34, 0, 0, -14, 42, 38, 0, 0, 0, 0, 0, 0, 0, -10, 22, 0, 42, 0, -38, 0, 26, 0, -2, 0, 46, 0, -10, 0, 34, -38, 0, 0, 50, 0, 0, 26, 0, -50, -46, -2, 0, 0, 10, -30, 0, 0, 54, 0, 0, 0, 18, 38, -50, -34, 0, 22, 10, 0, 50, 0, 0, 54, 0, 46, -58, 0, 0, 58, -50, 0, 0, 0, 0, 0, 46, 38, -58, 0, 26, 0, 0, -62, 0, 0, 62]}
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modcurve_models • Show schema
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{'dont_display': False, 'equation': ['x^3-y^2*z+49*x*z^2'], 'modcurve': '56.24.1.dp.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': ['3780*x^2*y^6-47302101*x^2*y^4*z^2-6670698300*x^2*y^2*z^4-495744061995*x^2*z^6-194922*x*y^6*z+154288260*x*y^4*z^3+19767502629*x*y^2*z^5-27*y^8+4596200*y^6*z^2-677658240*y^4*z^4+21790947780*y^2*z^6-373714754427*z^8', '28*x^2*y^6-40817*x^2*y^4*z^2-49412580*x^2*y^2*z^4+18360891185*x^2*z^6-98*x*y^6*z+1142876*x*y^4*z^3-732129727*x*y^2*z^5+y^8-8232*y^6*z^2+7529536*y^4*z^4+161414428*y^2*z^6+13841287201*z^8'], 'degree': 24, 'domain_label': '56.24.1.dp.1', 'domain_model_type': 5, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-2^6', '1'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1820299
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'5': ['-7,0:0,7:1,0']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '56.24.1.dp.1', 'curve_level': 56, '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': '2.0.56.1', 'upload_id': None}
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id: 1820300
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'5': ['7,0:0,-7:1,0']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '56.24.1.dp.1', 'curve_level': 56, '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': '2.2.56.1', 'upload_id': None}