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gps_gl2zhat_fine • Show schema
{'CPlabel': '8F1', 'Glabel': None, 'RSZBlabel': '24.48.1.234', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [0, 5, 23, 0], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 12, 1], [1, 2, 11, 15], [1, 4, 7, 15], [1, 8, 0, 1], [1, 8, 11, 15], [1, 14, 11, 15], [9, 8, 16, 17], [13, 0, 12, 13], [19, 0, 12, 19]], 'cm_discriminants': [], 'coarse_class': '24.48.1.lj', 'coarse_class_num': 296, 'coarse_index': 48, 'coarse_label': '24.48.1.lj.1', 'coarse_level': 24, 'coarse_num': 1, 'conductor': [[2, 6], [3, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2], [4, 1]], 'cusp_widths': [[4, 4], [8, 4]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[5, 0, 4, 17], [9, 23, 20, 7], [19, 9, 6, 5], [19, 21, 2, 5]], 'genus': 1, 'genus_minus_rank': 0, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 3], [6, 4, 1], [6, 8, 1], [8, 4, 3], [12, 8, 3], [24, 16, 3]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 3], [6, 4, 1], [6, 8, 1], [8, 8, 3], [12, 16, 3], [24, 64, 3]], 'label': '24.48.1.lj.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.e.1', '4.12.0.f.1', '6.2.0.a.1', '6.6.0.a.1', '8.12.0.v.1', '8.12.0.z.1', '8.24.0.bt.1', '12.6.0.b.1', '12.12.0.l.1', '12.12.0.o.1', '12.24.0.l.1', '24.12.0.bq.1', '24.12.1.by.1', '24.24.0.ct.1', '24.24.0.et.1', '24.24.1.dd.1', '24.24.1.dv.1', '24.24.1.ek.1', '24.48.1.lj.1'], 'lattice_x': [8719, 7947, 6008, 3597, 9492, 9397, 5330, 1864, 3974, 8004, 9397, 8041, 9397, 6686, 508, 8041, 6686, 2618, 5330, 1262, 5330], 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '6.35610766069589123929', 'prec': 74}, 'models': 2, 'mults': [1], 'name': None, 'newforms': ['576.2.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': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 3], [6, 8, 1], [6, 16, 1], [8, 16, 3], [12, 32, 3], [24, 128, 3]], 'parents': ['8.24.0.bt.1', '12.24.0.l.1', '24.24.0.ct.1', '24.24.0.et.1', '24.24.1.dd.1', '24.24.1.dv.1', '24.24.1.ek.1'], 'parents_conj': [[15, 17, 8, 19], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [15, 16, 16, 5]], 'pointless': None, 'power': True, 'psl2index': 48, 'psl2label': '8.48.1.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', '4.12.0.f.1', '6.6.0.a.1', '8.24.0.bt.1', '12.24.0.l.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '8.48.1.a.1', 'sl2level': 8, 'squarefree': True, 'trace_hash': 1086616701052248176, '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]} -
modcurve_models • Show schema
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id: 9858
{'dont_display': False, 'equation': ['y^2-y*z+z^2-w^2', '4*x^2+2*y^2+y*z-z^2-w^2'], 'modcurve': '24.48.1.lj.1', 'model_type': 8, 'number_variables': 4, 'smooth': True, 'upload_id': None} -
id: 9859
{'dont_display': False, 'equation': ['9*x^4-3*x^2*y^2+y^4-12*x^2*z^2+2*y^2*z^2+z^4'], 'modcurve': '24.48.1.lj.1', 'model_type': 2, 'number_variables': 3, 'smooth': False, 'upload_id': None}
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id: 9858
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modcurve_modelmaps • Show schema
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id: 10274
{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['z^3*(3*z^2-4*w^2)*(3*y*z^2*w^4-2*y*w^6+9*z^7-24*z^5*w^2+19*z^3*w^4-5*z*w^6)', 'w^8*(9*y*z^3-6*y*z*w^2-3*z^2*w^2-w^4)'], 'degree': 48, 'domain_label': '24.48.1.lj.1', 'domain_model_type': 8, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-2^8*3^3', '1'], 'upload_id': None} -
id: 10275
{'codomain_label': '24.48.1.lj.1', 'codomain_model_type': 2, 'coordinates': ['z', '2*x', 'w'], 'degree': 1, 'domain_label': '24.48.1.lj.1', 'domain_model_type': 8, 'dont_display': False, 'factored': False, 'leading_coefficients': None, 'upload_id': None}
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id: 10274
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modcurve_points • Show schema
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id: 1720759
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['1,-1/2:0,1:1,0:0,0', '-1/2,-1/2:1,-1:1,0:0,0']}, 'curve_genus': 1, 'curve_index': 48, 'curve_label': '24.48.1.lj.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': '2.0.3.1', 'upload_id': None} -
id: 1720760
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0,0,0,0:0,5/3,0,-1/3:0,-2/3,0,1/3:1,0,0,0']}, 'curve_genus': 1, 'curve_index': 48, 'curve_label': '24.48.1.lj.1', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 4, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '4.4.2304.1', 'upload_id': None}
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id: 1720759
Modular curve data - 24.48.1.lj.1