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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '56.48.0.498', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 7], 'canonical_conjugator': [16, 23, 9, 19], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 42, 1], [1, 8, 0, 1], [1, 8, 11, 35], [3, 4, 3, 47], [9, 8, 48, 49], [13, 0, 14, 13], [29, 0, 42, 29], [55, 52, 43, 23], [55, 52, 53, 7]], 'cm_discriminants': [], 'coarse_class': '56.24.0.bh', 'coarse_class_num': 34, 'coarse_index': 24, 'coarse_label': '56.24.0.bh.1', 'coarse_level': 56, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 5, 'generators': [[4, 47, 21, 18], [16, 3, 35, 8], [18, 41, 41, 26], [49, 20, 46, 11]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 8, 2], [56, 16, 1], [56, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 96, 2], [56, 192, 1], [56, 768, 1]], 'label': '56.48.0-56.bh.1.5', 'lattice_labels': None, 'lattice_x': None, 'level': 56, 'level_is_squarefree': False, 'level_radical': 14, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 25, 'num_known_degree1_noncusp_points': 25, 'num_known_degree1_points': 26, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [4, 8, 1], [7, 48, 1], [8, 2, 4], [8, 8, 1], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 48, 2], [28, 96, 1], [28, 384, 1], [56, 96, 4], [56, 384, 1], [56, 1536, 1]], 'parents': ['8.24.0-8.n.1.2', '56.24.0-8.n.1.12', '56.24.0-56.s.1.4', '56.24.0-56.s.1.7', '56.24.0-56.bb.1.5', '56.24.0-56.bb.1.15'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, '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', '4.12.0-4.c.1.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.48.0-8.b.1.2', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '56.24.0.133', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 7], 'canonical_conjugator': [48, 27, 55, 15], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 42, 1], [1, 4, 3, 49], [1, 4, 13, 33], [1, 8, 0, 1], [1, 8, 11, 35], [3, 4, 3, 47], [9, 8, 48, 49], [29, 0, 42, 29], [43, 0, 42, 43]], 'cm_discriminants': [], 'coarse_class': '56.24.0.bh', 'coarse_class_num': 34, 'coarse_index': 24, 'coarse_label': '56.24.0.bh.1', 'coarse_level': 56, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[13, 0, 52, 9], [20, 15, 37, 18], [30, 17, 39, 44], [30, 39, 7, 54], [37, 10, 10, 53]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 8, 2], [56, 16, 1], [56, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 96, 2], [56, 192, 1], [56, 768, 1]], 'label': '56.24.0.bh.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '56.2.0.a.1', '56.6.0.a.1', '56.6.0.e.1', '56.12.0.s.1', '56.12.0.bb.1', '56.24.0.bh.1'], 'lattice_x': [2305, 3695, 6305, 8746, 915, 1085, 3525, 3525, 5966, 5966], 'level': 56, 'level_is_squarefree': False, 'level_radical': 14, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 25, 'num_known_degree1_noncusp_points': 25, 'num_known_degree1_points': 26, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [7, 48, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 96, 2], [28, 384, 1], [56, 192, 2], [56, 384, 1], [56, 1536, 1]], 'parents': ['8.12.0.n.1', '56.12.0.s.1', '56.12.0.bb.1'], 'parents_conj': [[23, 14, 29, 13], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, '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'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 56.24.0.bh.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+y)^24*(2401*x^8+41160*x^6*y^2+26264*x^4*y^4+3360*x^2*y^6+16*y^8)^3', 'y^2*x^2*(x+y)^24*(7*x^2-2*y^2)^8*(7*x^2+2*y^2)^2'], 'degree': 24, 'domain_label': '56.24.0.bh.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2', '7'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1848656
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-1:1', '0:1']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, '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: 3724
{'Elabel': '210.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.8010092491335, 'jinv': '524388516989299201/3150', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10221
{'Elabel': '840.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.2960402637348, 'jinv': '784478485879202/221484375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22729
{'Elabel': '2310.o2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.8618306793339, 'jinv': '1997773216431678333214187041/187585177195046990066400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25816
{'Elabel': '2730.x1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.7462248350972, 'jinv': '10934663514379917006241/12996826171875000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 48665
{'Elabel': '6510.r1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6510, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.5807359459372, 'jinv': '204117072508351537504018561/1958536333827640350', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63463
{'Elabel': '9240.bi1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.0005993479244, 'jinv': '258286045443018193442/8440380939375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 71388
{'Elabel': '10920.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10920, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.7327502096188, 'jinv': '24385137179326562/1284775885575', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 108634
{'Elabel': '19320.ba1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19320, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.4920469515097, 'jinv': '155324313723954725282/13018359375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 145294
{'Elabel': '28770.bu1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 28770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 67.2561524071766, 'jinv': '161799011682182419362054199201/3247687683105468750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 200239
{'Elabel': '43890.ca2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 43890, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.550675308355, 'jinv': '8992477149118944253921/3808721898892968750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 210420
{'Elabel': '46830.w2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 46830, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 65.6580623061457, 'jinv': '32729106705536546512810485121/17337719309092063663635000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 226965
{'Elabel': '51870.cn1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 51870, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 89.211721111543, 'jinv': '554827782481287715137543593326999256161/21356493903071997035595465600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 270087
{'Elabel': '65310.v1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 65310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 76.2200484847256, 'jinv': '1264580461170074528641979524516321/33769898453214277001305875000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 355765
{'Elabel': '94290.bh1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 94290, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 81.6020259387155, 'jinv': '274985362757057583534470466610636801/2540172600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 390944
{'Elabel': '106680.ba2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 106680, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.914089227198, 'jinv': '104799289820383278848659682/60565888881683349609375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 426691
{'Elabel': '120120.bo1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.7262546775203, 'jinv': '79199320928251131447842/57056975150175', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 436741
{'Elabel': '123690.bw1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 123690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.6289008503367, 'jinv': '1582654245026490022003666561/3879460172904132600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 449104
{'Elabel': '128310.cf2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 128310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.2962408946167, 'jinv': '2812851289768457066351041/12675938454388468350', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 540280
{'Elabel': '164010.bv1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 164010, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.8847059819887, 'jinv': '5066568429753083175790561/53184950394236718750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 586663
{'Elabel': '182910.bm1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 182910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 72.7691502179036, 'jinv': '40108866840332498647451962797121/13405925603383527069892968750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 644814
{'Elabel': '207480.cv1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 207480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 75.2756912471704, 'jinv': '491832620979240254044318805170082/50074649847515619964599609375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 665206
{'Elabel': '215670.db2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 215670, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.6159422379503, 'jinv': '10526543357318440229756161/250571446933549218750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 872518
{'Elabel': '308490.bx1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 308490, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 72.4549126243042, 'jinv': '29293329690253523810737473986881/3184251223710913038978750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 935513
{'Elabel': '338520.cz2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 338520, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.bh.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 65.7866731517393, 'jinv': '37221093900184067030728640162/5395231117906176315234375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
-
id: 1173664
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