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gps_gl2zhat_fine • Show schema
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{'CPlabel': '10D1', 'Glabel': None, 'RSZBlabel': '20.24.1.10', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [0, 17, 19, 18], 'canonical_generators': [[0, 1, 13, 17], [0, 7, 3, 6], [0, 7, 3, 16], [0, 11, 9, 3], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 10, 11]], 'cm_discriminants': [], 'coarse_class': '20.24.1.f', 'coarse_class_num': 6, 'coarse_index': 24, 'coarse_label': '20.24.1.f.1', 'coarse_level': 20, 'coarse_num': 1, 'conductor': [[2, 4], [5, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [10, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[15, 7, 11, 16], [15, 14, 13, 9]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': 1, 'index': 24, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [5, 1, 1], [5, 5, 1], [10, 3, 1], [10, 15, 1], [20, 6, 1], [20, 30, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [5, 2, 1], [5, 10, 1], [10, 6, 1], [10, 30, 1], [20, 24, 1], [20, 120, 1]], 'label': '20.24.1.f.1', 'lattice_labels': ['1.1.0.a.1', '5.6.0.a.1', '10.12.0.a.1', '20.2.0.a.1', '20.12.0.m.2', '20.12.1.b.1', '20.24.1.f.1'], 'lattice_x': [6650, 4631, 1330, 8670, 4877, 8424, 4877], 'level': 20, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': {'__RealLiteral__': 0, 'data': '5.99146454710798198687', 'prec': 74}, 'models': 2, 'mults': [1], 'name': None, 'newforms': ['400.2.a.c'], '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, 3, 1], [4, 12, 1], [5, 4, 1], [5, 20, 1], [10, 12, 1], [10, 60, 1], [20, 48, 1], [20, 240, 1]], 'parents': ['10.12.0.a.1', '20.12.0.m.2', '20.12.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': True, 'psl2index': 24, 'psl2label': '10.24.1.a.1', 'psl2level': 10, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '5.6.0.a.1', '10.12.0.a.1'], 'scalar_label': '5.2.1', 'simple': True, 'sl2label': '10.24.1.a.1', 'sl2level': 10, 'squarefree': True, 'trace_hash': 2156139210869568784, 'traces': [0, -2, 0, 2, 0, -2, 6, 4, 6, 6, 4, -2, 6, -10, -6, 6, -12, 2, 2, 12, -2, -8, 6, -6, -2, 6, 14, -6, 2, 6, 2, 0, -18, 4, -6, -20, 22, -10, 18, 6, 12, -10, 12, -26, -18, -8, 16, -10, -6, 14, 6, 24, 14, 0, 6, -18, 18, -20, -26, 6, 14, 30, 2, -12, 22, 6, -8, -2, -30, -10, -18, -24, -22, -26, 28, 6, -6, -2, -30, -34, -36, 26, -36, -2, -8, 6, 6, -26, 30, 14, -30, 24, 26, 0, 4, -18, 6, -6, 14, 14, 26, 30, -18, 30, -8, 22, -6, -18, 0, -10, -22, -2, 6, -20, 28, -18, 14, 42, -42, -36, -22, 46, -18, -42, -8, -30, -34, 24, -46, 22, -20, 6, 4, 22, 42, 2, 30, 26, -42, -6, 16, -54, 38, -30, 2, 48, -50, -18, 4, 6, -26, -18, 14, 18, -46, -12, 16, -42, 22, -18, 18, 6, -22, 24, -18, -18, 4, -26]}
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modcurve_models • Show schema
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id: 5422
{'dont_display': False, 'equation': ['x^2+y*z', '11*x^2+125*y^2-11*y*z+z^2+5*w^2'], 'modcurve': '20.24.1.f.1', 'model_type': 8, 'number_variables': 4, 'smooth': True, 'upload_id': None}
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id: 5423
{'dont_display': False, 'equation': ['125*x^4+22*x^2*z^2+5*y^2*z^2+z^4'], 'modcurve': '20.24.1.f.1', 'model_type': 2, 'number_variables': 3, 'smooth': False, 'upload_id': None}
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modcurve_modelmaps • Show schema
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id: 5662
{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['118162368*y*z^5-7828380000*y*z^3*w^2+267187500*y*z*w^4-8895744*z^6+1073051280*z^4*w^2-515475000*z^2*w^4+1953125*w^6', 'z*(68381*y*z^4-751250*y*z^2*w^2+390625*y*w^4-5148*z^5+1760*z^3*w^2+137500*z*w^4)'], 'degree': 24, 'domain_label': '20.24.1.f.1', 'domain_model_type': 8, 'dont_display': False, 'factored': True, 'leading_coefficients': None, 'upload_id': None}
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id: 5663
{'codomain_label': '20.24.1.f.1', 'codomain_model_type': 2, 'coordinates': ['x', 'w', 'z'], 'degree': 1, 'domain_label': '20.24.1.f.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: 1715322
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0,0:0,0:0,1:1,0']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '20.24.1.f.1', 'curve_level': 20, '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: 1715323
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0,0:0,1/5:0,0:1,0']}, 'curve_genus': 1, 'curve_index': 24, 'curve_label': '20.24.1.f.1', 'curve_level': 20, '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}