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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16C0', 'Glabel': None, 'RSZBlabel': '48.48.0.343', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [29, 0, 19, 47], 'canonical_generators': [[0, 1, 29, 4], [0, 7, 25, 6], [0, 7, 29, 2], [0, 7, 29, 34], [1, 0, 16, 1], [1, 16, 0, 1], [16, 21, 3, 34], [16, 33, 15, 34], [17, 16, 32, 33], [32, 45, 27, 2]], 'cm_discriminants': [], 'coarse_class': '48.24.0.h', 'coarse_class_num': 8, 'coarse_index': 24, 'coarse_label': '48.24.0.h.1', 'coarse_level': 48, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 4], [4, 1], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 3, 'generators': [[15, 2, 40, 11], [23, 11, 8, 9], [25, 8, 36, 23], [27, 43, 28, 11], [37, 5, 32, 35]], '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.h.1.3', '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': 84, 'num_known_degree1_noncusp_points': 84, 'num_known_degree1_points': 85, '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.1.11'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.b.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.1.11'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '16.48.0-16.b.1.2', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16C0', 'Glabel': None, 'RSZBlabel': '48.24.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [29, 0, 19, 47], 'canonical_generators': [[0, 1, 29, 4], [0, 7, 25, 6], [0, 7, 29, 2], [0, 7, 29, 34], [1, 0, 16, 1], [1, 16, 0, 1], [16, 3, 21, 46], [16, 21, 3, 34], [16, 33, 15, 34], [17, 16, 32, 33]], 'cm_discriminants': [], 'coarse_class': '48.24.0.h', 'coarse_class_num': 8, 'coarse_index': 24, 'coarse_label': '48.24.0.h.1', 'coarse_level': 48, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 4], [4, 1], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[5, 13, 28, 1], [5, 42, 20, 47], [13, 44, 44, 11], [25, 11, 44, 21], [43, 26, 32, 27], [47, 16, 12, 1]], '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.h.1', '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.h.1'], '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': 84, 'num_known_degree1_noncusp_points': 84, 'num_known_degree1_points': 85, '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': [[13, 21, 42, 31]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.b.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': '1.1.1', 'simple': None, 'sl2label': '16.24.0.b.1', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 48.24.0.h.1 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^8-576*x^4*y^4+256*y^8)^3', 'y^4*x^40*(3*x^2-2*y^2)*(3*x^2+2*y^2)'], 'degree': 24, 'domain_label': '48.24.0.h.1', '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: 2548
{'Elabel': '120.b5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.0311016339468, 'jinv': '24918016/45', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2564
{'Elabel': '120.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.8156850169144, 'jinv': '54607676/32805', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5284
{'Elabel': '330.e5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.4293906557945, 'jinv': '13651919/126720', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848550
{'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.h.1', '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: 4016
{'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.h.1', '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: 4073
{'Elabel': '210.e8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.2263458355123, 'jinv': '226523624554079/269165039062500', 'jorig': '226523624554079/269165039062500', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5259
{'Elabel': '330.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.8207265034763, 'jinv': '179415687049201/1443420', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8734
{'Elabel': '690.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.4491998373222, 'jinv': '148809678420065817601/20700', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8784
{'Elabel': '690.k5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.7345159723891, 'jinv': '-8194759433281/965779200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10375
{'Elabel': '840.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 31.120810333509, 'jinv': '32779037733124/315', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10419
{'Elabel': '840.j5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.0311016339468, 'jinv': '-24918016/229635', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 17998
{'Elabel': '1770.h4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.4860647869005, 'jinv': '154397911818504177361/5332269648761280', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 18009
{'Elabel': '1770.h6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.7455362621158, 'jinv': '3342636501165359/3608024186880', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30552
{'Elabel': '3480.r4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.0787192812384, 'jinv': '37795407757392787456/528525', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30561
{'Elabel': '3480.r5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.6622604684073, 'jinv': '-456452240483695684/204761413948725', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 33041
{'Elabel': '3930.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3930, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.5404809883564, 'jinv': '79097674711189980527755795441/110014848000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 33075
{'Elabel': '3930.f5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3930, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.8801278702674, 'jinv': '-4599009330619965070321/162040526143488000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 33509
{'Elabel': '3990.bb4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3990, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.2759661072874, 'jinv': '114113060120923921/124104960', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 33513
{'Elabel': '3990.bb5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3990, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.7455362621158, 'jinv': '3342636501165359/751262567039460', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 46055
{'Elabel': '6090.y1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6090, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.8801278702674, 'jinv': '4599009330619965070321/426202560', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 46091
{'Elabel': '6090.y5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6090, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.8207265034763, 'jinv': '-179415687049201/153259868160', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 91205
{'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.h.1', '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: 91212
{'Elabel': '15330.bd5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.6550170187648, 'jinv': '1350844653269939083199/2183403538422785700', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 124861
{'Elabel': '23430.i2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 23430, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.8801915119612, 'jinv': '2034792811380702477243526561/755068359375000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 124896
{'Elabel': '23430.i5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 23430, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.h.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.920652715158, 'jinv': '226523624554079/591035640053760000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 200505
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