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gps_gl2zhat_fine • Show schema
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{'CPlabel': '18E0', 'Glabel': None, 'RSZBlabel': '36.72.0.40', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 31, 35], 'canonical_generators': [[0, 29, 31, 34], [0, 31, 29, 20], [0, 31, 35, 32], [0, 35, 19, 34], [0, 35, 29, 0], [0, 35, 31, 22], [19, 0, 0, 1], [19, 18, 18, 19], [35, 0, 18, 35], [35, 18, 0, 35]], 'cm_discriminants': [], 'coarse_class': '18.36.0.a', 'coarse_class_num': 1, 'coarse_index': 36, 'coarse_label': '18.36.0.a.1', 'coarse_level': 18, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[1, 3], [2, 3], [9, 1], [18, 1]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 12, 'generators': [[1, 21, 18, 7], [5, 6, 0, 23], [17, 21, 18, 19], [23, 2, 18, 35]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [9, 1, 1], [9, 2, 1], [9, 9, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [18, 1, 1], [18, 2, 2], [18, 4, 1], [18, 9, 1], [18, 18, 1], [36, 2, 1], [36, 4, 2], [36, 8, 1], [36, 18, 1], [36, 36, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [9, 3, 1], [9, 6, 1], [9, 27, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [18, 3, 1], [18, 6, 2], [18, 12, 1], [18, 27, 1], [18, 54, 1], [36, 12, 1], [36, 24, 2], [36, 48, 1], [36, 108, 1], [36, 216, 1]], 'label': '36.72.0-18.a.1.12', 'lattice_labels': None, 'lattice_x': None, 'level': 36, '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': 92, 'num_known_degree1_noncusp_points': 92, 'num_known_degree1_points': 93, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [9, 6, 1], [9, 12, 1], [9, 54, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [18, 6, 1], [18, 12, 2], [18, 24, 1], [18, 54, 1], [18, 108, 1], [36, 24, 1], [36, 48, 2], [36, 96, 1], [36, 216, 1], [36, 432, 1]], 'parents': ['12.24.0-6.a.1.6'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 36, 'psl2label': '18.36.0.a.1', 'psl2level': 18, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '12.24.0-6.a.1.6', '18.36.0.a.1'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '36.72.0-18.a.1.2', 'sl2level': 36, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '18E0', 'Glabel': '648.626', 'RSZBlabel': '18.36.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [0, 1, 13, 17], 'canonical_generators': [[0, 1, 5, 14], [0, 1, 7, 0], [0, 1, 17, 2], [0, 5, 1, 4], [0, 5, 7, 16], [0, 7, 5, 2]], 'cm_discriminants': [], 'coarse_class': '18.36.0.a', 'coarse_class_num': 1, 'coarse_index': 36, 'coarse_label': '18.36.0.a.1', 'coarse_level': 18, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[1, 3], [2, 3], [9, 1], [18, 1]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.3.0.a.1', '9.12.0.a.1'], 'fine_num': 0, 'generators': [[1, 13, 0, 13], [5, 7, 0, 7], [11, 12, 0, 17]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 36, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [9, 1, 1], [9, 2, 1], [9, 9, 1], [18, 1, 1], [18, 2, 2], [18, 4, 1], [18, 9, 1], [18, 18, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [9, 3, 1], [9, 6, 1], [9, 27, 1], [18, 3, 1], [18, 6, 2], [18, 12, 1], [18, 27, 1], [18, 54, 1]], 'label': '18.36.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1'], 'lattice_x': [5000, 7771, 2229, 7771, 2229, 5000], 'level': 18, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': 1, 'mults': None, 'name': 'X0(18)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 92, 'num_known_degree1_noncusp_points': 92, 'num_known_degree1_points': 93, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [9, 6, 1], [9, 12, 1], [9, 54, 1], [18, 6, 1], [18, 12, 2], [18, 24, 1], [18, 54, 1], [18, 108, 1]], 'parents': ['6.12.0.a.1', '9.12.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 36, 'psl2label': '18.36.0.a.1', 'psl2level': 18, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '18.36.0.a.1', 'sl2level': 18, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 18.36.0.a.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^36*(x^3-2*y^3)^3*(x^9-6*x^6*y^3-12*x^3*y^6-8*y^9)^3', 'y^18*x^45*(x-2*y)*(x+y)^2*(x^2-x*y+y^2)^2*(x^2+2*x*y+4*y^2)'], 'degree': 36, 'domain_label': '18.36.0.a.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': None, 'upload_id': None}
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modcurve_points • Show schema
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id: 156
{'Elabel': '14.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.3503459869936, 'jinv': '2251439055699625/25088', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 169
{'Elabel': '14.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.0301754694157, 'jinv': '-548347731625/1835008', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 210
{'Elabel': '14.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 18.6736752878261, 'jinv': '128787625/98', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 223
{'Elabel': '14.a5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 9.6566274746046, 'jinv': '-15625/28', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 9774
{'Elabel': '798.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 798, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.9032108948557, 'jinv': '103665426767620308239307625/5961940992', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 9781
{'Elabel': '798.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 798, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.585450188342, 'jinv': '25309080274342544331625/191933498523648', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 9808
{'Elabel': '798.d5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 798, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.5528054774063, 'jinv': '55369510069623625/3916046302812', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 9815
{'Elabel': '798.d6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 798, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.4994403845818, 'jinv': '52492168638015625/293197968', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11072
{'Elabel': '910.g1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.1500951416059, 'jinv': '16375858190544687071329/9025573730468750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11079
{'Elabel': '910.g2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.1496981744501, 'jinv': '16369358802802724130049/4976562500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11096
{'Elabel': '910.g4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.1884491813285, 'jinv': '772531501373731009/15142400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11113
{'Elabel': '910.g6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.8738690933254, 'jinv': '189208196468929/834928640', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25513
{'Elabel': '2730.m1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.5805913971228, 'jinv': '68463752473882049153689/1817088000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25518
{'Elabel': '2730.m2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.4610973879242, 'jinv': '-60752633741424905775769/11197265625000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25532
{'Elabel': '2730.m4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.3267638607864, 'jinv': '326355561310674169/465699780', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25537
{'Elabel': '2730.m5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.2994499184934, 'jinv': '-317562142497484249/12339342574650', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 55188
{'Elabel': '7770.ba1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 68.0075279104338, 'jinv': '342999983683000258740998632369/336902343750', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 55193
{'Elabel': '7770.ba2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.6897610301429, 'jinv': '-83740170636734921311132369/82992553710937500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 55216
{'Elabel': '7770.ba5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.497949488779, 'jinv': '57478893731908015249/9504385397982720', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 55221
{'Elabel': '7770.ba6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.9941464229307, 'jinv': '86087999924407151/233867044454400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61844
{'Elabel': '9030.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.0147180619264, 'jinv': '2327792866610859661935739609/38829000000000000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61877
{'Elabel': '9030.j3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.2946730863766, 'jinv': '2808444733558418932536889/25475706900', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61886
{'Elabel': '9030.j4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.9768383444214, 'jinv': '-685608435156667567609/65303597625840', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61891
{'Elabel': '9030.j5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.2884847032053, 'jinv': '-68719929721827328729/2545170776064000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 69098
{'Elabel': '10374.l1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10374, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '18.36.0.a.1', 'curve_level': 18, 'curve_name': 'X0(18)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.530257803897, 'jinv': '3897987105329876947288524625/2272553731812', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 69103
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