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gps_gl2zhat_fine • Show schema
{'CPlabel': '10A1', 'Glabel': None, 'RSZBlabel': '60.12.1.6', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 1, 59, 0], 'canonical_generators': [[0, 1, 43, 37], [0, 1, 49, 13], [0, 7, 23, 16], [0, 7, 43, 1], [0, 19, 31, 37], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 50, 51], [40, 33, 3, 25], [40, 51, 9, 43]], 'cm_discriminants': [], 'coarse_class': '60.12.1.n', 'coarse_class_num': 14, 'coarse_index': 12, 'coarse_label': '60.12.1.n.1', 'coarse_level': 60, 'coarse_num': 1, 'conductor': [[2, 4], [3, 2], [5, 2]], 'contains_negative_one': True, 'curve_label': '3600.be2', 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [10, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[13, 15, 44, 1], [28, 15, 29, 13], [41, 55, 15, 22], [57, 5, 59, 22]], 'genus': 1, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [4, 6, 1], [5, 1, 1], [5, 5, 1], [6, 12, 1], [10, 3, 1], [10, 15, 1], [12, 24, 1], [15, 4, 1], [15, 20, 1], [20, 6, 1], [20, 30, 1], [30, 12, 1], [30, 60, 1], [60, 24, 1], [60, 120, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [4, 6, 1], [5, 2, 1], [5, 10, 1], [6, 12, 1], [10, 6, 1], [10, 30, 1], [12, 48, 1], [15, 16, 1], [15, 80, 1], [20, 24, 1], [20, 120, 1], [30, 48, 1], [30, 240, 1], [60, 192, 1], [60, 960, 1]], 'label': '60.12.1.n.1', 'lattice_labels': ['1.1.0.a.1', '5.6.0.a.1', '60.2.0.a.1', '60.12.1.n.1'], 'lattice_x': [4657, 7466, 1849, 4657], 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': {'__RealLiteral__': 0, 'data': '8.18868912444420136966', 'prec': 74}, 'models': 1, 'mults': [1], 'name': None, 'newforms': ['3600.2.a.be'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 3, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [4, 12, 1], [5, 4, 1], [5, 20, 1], [6, 24, 1], [10, 12, 1], [10, 60, 1], [12, 96, 1], [15, 32, 1], [15, 160, 1], [20, 48, 1], [20, 240, 1], [30, 96, 1], [30, 480, 1], [60, 384, 1], [60, 1920, 1]], 'parents': ['5.6.0.a.1', '60.2.0.a.1'], 'parents_conj': [[0, 59, 1, 7], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 12, 'psl2label': '10.12.1.a.1', 'psl2level': 10, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 1, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '1.1.0.a.1', '5.6.0.a.1', '5.6.0.a.1', '5.6.0.a.1', '5.6.0.a.1', '5.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '10.12.1.a.1', 'sl2level': 10, 'squarefree': True, 'trace_hash': 494513997903162760, 'traces': [0, 0, 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]} -
modcurve_models • Show schema
{'dont_display': False, 'equation': ['x^3-y^2*z-8175*x*z^2-431750*z^3'], 'modcurve': '60.12.1.n.1', 'model_type': 5, 'number_variables': 3, 'smooth': True, 'upload_id': None} -
modcurve_modelmaps • Show schema
{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['10590*x^2*y^2+11909272100625*x^2*z^2+38307225*x*y^2*z+1399749479268750*x*z^3+y^4+50486129250*y^2*z^2+49539653192953125*z^4', 'x^2*y^2-17374500*x^2*z^2-550*x*y^2*z+1550593125*x*z^3+129175*y^2*z^2+39666206250*z^4'], 'degree': 12, 'domain_label': '60.12.1.n.1', 'domain_model_type': 5, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '3*5'], 'upload_id': None} -
modcurve_points • Show schema
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id: 1824625
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'5': ['0:1:0', '110:0:1']}, 'curve_genus': 1, 'curve_index': 12, 'curve_label': '60.12.1.n.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} -
id: 74222
{'Elabel': '11550.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 11550, 'coordinates': {'5': ['22130/121:-2724750/1331:1', '22130/121:2724750/1331:1']}, 'curve_genus': 1, 'curve_index': 12, 'curve_label': '60.12.1.n.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 53.9178262574465, 'jinv': '260744057755293612689909/8504954620259328', 'jorig': '260744057755293612689909/8504954620259328', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None} -
id: 74245
{'Elabel': '11550.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 11550, 'coordinates': {'5': ['97185/196:-29734375/2744:1', '97185/196:29734375/2744:1']}, 'curve_genus': 1, 'curve_index': 12, 'curve_label': '60.12.1.n.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': 2, 'j_field': '1.1.1.1', 'j_height': 41.8143232939767, 'jinv': '1444540994277943589/15251205665388', 'jorig': '1444540994277943589/15251205665388', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1824625
Modular curve data - 60.12.1.n.1