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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16D0', 'Glabel': None, 'RSZBlabel': '48.48.0.324', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [17, 0, 31, 47], 'canonical_generators': [[0, 5, 35, 18], [0, 7, 11, 4], [0, 7, 29, 2], [0, 7, 29, 34], [1, 0, 16, 1], [1, 16, 0, 1], [16, 3, 21, 22], [16, 9, 39, 34], [16, 33, 15, 34], [17, 16, 32, 33], [32, 27, 45, 38]], 'cm_discriminants': [], 'coarse_class': '48.24.0.e', 'coarse_class_num': 5, 'coarse_index': 24, 'coarse_label': '48.24.0.e.2', 'coarse_level': 48, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [2, 3], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 1, 'generators': [[3, 2, 40, 31], [7, 35, 44, 39], [13, 24, 20, 31], [33, 2, 8, 33], [35, 10, 16, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], 'label': '48.48.0-48.e.2.1', 'lattice_labels': None, 'lattice_x': None, 'level': 48, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 90, 'num_known_degree1_noncusp_points': 90, 'num_known_degree1_points': 91, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [48, 64, 2], [48, 128, 1], [48, 256, 1], [48, 1024, 1]], 'parents': ['16.24.0-8.n.1.8', '24.24.0-8.n.1.3'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.a.1', 'psl2level': 16, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '24.24.0-8.n.1.3'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '16.48.0-16.a.1.1', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16D0', 'Glabel': None, 'RSZBlabel': '48.24.0.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [17, 0, 31, 47], 'canonical_generators': [[0, 5, 35, 18], [0, 7, 11, 4], [0, 7, 29, 2], [0, 7, 29, 34], [1, 0, 16, 1], [1, 16, 0, 1], [16, 3, 21, 22], [16, 9, 39, 34], [16, 21, 3, 10], [16, 33, 15, 34], [17, 16, 32, 33]], 'cm_discriminants': [], 'coarse_class': '48.24.0.e', 'coarse_class_num': 5, 'coarse_index': 24, 'coarse_label': '48.24.0.e.2', 'coarse_level': 48, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [2, 3], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[11, 0, 24, 11], [13, 46, 20, 3], [21, 16, 16, 37], [29, 4, 28, 39], [41, 27, 16, 23], [45, 25, 28, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], 'label': '48.24.0.e.2', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0.e.2'], 'lattice_x': [5000, 5000, 5000, 5000, 5000], 'level': 48, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 90, 'num_known_degree1_noncusp_points': 90, 'num_known_degree1_points': 91, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [16, 16, 2], [16, 32, 1], [16, 128, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [48, 128, 2], [48, 256, 1], [48, 1024, 1]], 'parents': ['8.12.0.n.1'], 'parents_conj': [[31, 5, 42, 19]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.a.1', 'psl2level': 16, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '16.24.0.a.1', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 48.24.0.e.2 does not appear in modcurve_models
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modcurve_modelmaps • Show schema
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{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['x^24*(81*x^8+1728*x^6*y^2+2880*x^4*y^4+1536*x^2*y^6+256*y^8)^3', 'y^2*x^40*(3*x^2+y^2)*(3*x^2+2*y^2)^2'], 'degree': 24, 'domain_label': '48.24.0.e.2', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2^2', '3^8'], 'upload_id': None}
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modcurve_points • Show schema
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id: 4225
{'Elabel': '231.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 231, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.8617548914191, 'jinv': '10206027697760497/5557167', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 321
{'Elabel': '15.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.3298902952831, 'jinv': '272223782641/164025', 'jorig': '272223782641/164025', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848545
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['0:1', '1:0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, '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: 588
{'Elabel': '21.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 31.6069098121035, 'jinv': '53297461115137/147', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3372
{'Elabel': '195.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 195, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.939472701806, 'jinv': '242970740812818720001/24375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4020
{'Elabel': '210.e6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.5399032257378, 'jinv': '135487869158881/51438240000', 'jorig': '135487869158881/51438240000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 7873
{'Elabel': '609.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 609, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.5831935353778, 'jinv': '8471112631466271697/1662662681263647', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10182
{'Elabel': '840.d4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.3410810826927, 'jinv': '37256083456/525', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13018
{'Elabel': '1155.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1155, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.4047725105096, 'jinv': '3135316978843283198764801/571725', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14027
{'Elabel': '1254.g5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1254, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.6258613843252, 'jinv': '365986170577/1765632', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19625
{'Elabel': '1995.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1995, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.114620679645, 'jinv': '51667200931417724201028999121/4108467163497046875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 21442
{'Elabel': '2184.j5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2184, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.2745861516242, 'jinv': '94757435392/4179357', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 29215
{'Elabel': '3255.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3255, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.4292547074215, 'jinv': '1077849394581812947921/10725261647865975', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 29255
{'Elabel': '3255.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3255, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.5916858021865, 'jinv': '171597930729223531681/3079376220703125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 32751
{'Elabel': '3885.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3885, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.1321719070938, 'jinv': '323075148552374741097121/40666351318359375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 33423
{'Elabel': '3990.u1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3990, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.959830918907, 'jinv': '13538587831984990560241/610829100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 34173
{'Elabel': '4074.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4074, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.213979050273, 'jinv': '2841072266191027343455282177/5532492', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 42762
{'Elabel': '5565.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5565, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 55.9516436674958, 'jinv': '1992921067618244196557041/3225223575', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 48029
{'Elabel': '6405.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6405, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.6310217132731, 'jinv': '86593452150101798535177524401/44515596019973421228081525', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61972
{'Elabel': '9030.r4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.5037392643815, 'jinv': '2878322302309310641/364089600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 85121
{'Elabel': '14070.i5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14070, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.9499764428091, 'jinv': '30301585803604081/4130970009600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 89516
{'Elabel': '15015.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15015, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.0530706731863, 'jinv': '120425155205395641037229521/544220534583650925', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 89605
{'Elabel': '15015.h2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15015, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.1942872651921, 'jinv': '46525488970492838779201/3920654983948677975', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 90705
{'Elabel': '15222.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15222, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.5536241256318, 'jinv': '3638537785908593816611537/169099601236342092', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 91206
{'Elabel': '15330.bd4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.e.2', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.8930909250608, 'jinv': '85332829471914084481/7359783379200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 91449
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