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gps_gl2zhat_fine • Show schema
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{'CPlabel': '6I0', 'Glabel': None, 'RSZBlabel': '60.48.0.214', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [37, 45, 44, 41], 'canonical_generators': [[0, 1, 23, 10], [0, 59, 47, 54], [1, 2, 28, 15], [1, 20, 10, 21], [3, 2, 10, 23], [31, 0, 0, 1], [31, 30, 30, 31], [53, 54, 36, 35], [59, 0, 30, 59], [59, 0, 54, 59], [59, 30, 0, 59], [59, 54, 0, 59]], 'cm_discriminants': [], 'coarse_class': '30.24.0.a', 'coarse_class_num': 1, 'coarse_index': 24, 'coarse_label': '30.24.0.a.1', 'coarse_level': 30, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 8, 'generators': [[1, 16, 54, 23], [11, 56, 51, 13], [43, 2, 9, 37], [43, 20, 51, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1]], 'label': '60.48.0-30.a.1.8', 'lattice_labels': None, 'lattice_x': None, 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 88, 'num_known_degree1_noncusp_points': 88, 'num_known_degree1_points': 89, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1]], 'parents': ['12.24.0-6.a.1.6', '60.24.0-6.a.1.8'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, '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', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '10.6.0.a.1', '12.24.0-6.a.1.6', '30.24.0.a.1'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '12.48.0-6.a.1.2', 'sl2level': 12, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '6I0', 'Glabel': None, 'RSZBlabel': '30.24.0.6', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [11, 0, 10, 1], 'canonical_generators': [[0, 1, 13, 6], [0, 1, 23, 10], [1, 0, 6, 1], [1, 2, 28, 15], [1, 6, 0, 1], [1, 20, 10, 21], [3, 2, 10, 23], [7, 6, 24, 25]], 'cm_discriminants': [], 'coarse_class': '30.24.0.a', 'coarse_class_num': 1, 'coarse_index': 24, 'coarse_label': '30.24.0.a.1', 'coarse_level': 30, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['3.4.0.a.1', '10.6.0.a.1'], 'fine_num': 0, 'generators': [[11, 8, 18, 23], [13, 8, 18, 5], [14, 3, 3, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 6, 1], [10, 12, 1], [15, 6, 1], [15, 18, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 12, 1], [10, 24, 1], [15, 24, 1], [15, 72, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1]], 'label': '30.24.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.2.0.a.1', '10.6.0.a.1', '30.8.0.a.1', '30.24.0.a.1'], 'lattice_x': [3445, 6513, 3067, 8445, 1134, 6513, 3067, 5714], 'level': 30, 'level_is_squarefree': True, 'level_radical': 30, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 88, 'num_known_degree1_noncusp_points': 88, 'num_known_degree1_points': 89, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [10, 24, 1], [10, 48, 1], [15, 48, 1], [15, 144, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1]], 'parents': ['6.12.0.a.1', '10.6.0.a.1', '30.8.0.a.1'], 'parents_conj': [[11, 16, 21, 25], [0, 1, 1, 27], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, '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', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.24.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 30.24.0.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^24*(4*x^2+x*y+y^2)^3*(34*x^6+108*x^5*y+90*x^4*y^2-35*x^3*y^3-15*x^2*y^4+3*x*y^5+y^6)^3', 'x^30*(x+2*y)^2*(x^2-x*y-y^2)^6*(11*x^2-x*y-y^2)^2'], 'degree': 24, 'domain_label': '30.24.0.a.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2^8', '5^3'], 'upload_id': None}
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modcurve_points • Show schema
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id: 4902
{'Elabel': '310.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.9393598520593, 'jinv': '549131937598369/307520', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4895
{'Elabel': '310.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.4845594195124, 'jinv': '947226559343329/443751840500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848397
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-2:1', '0:1']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, '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: 540
{'Elabel': '20.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.0060221412947, 'jinv': '488095744/125', 'jorig': '488095744/125', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 570
{'Elabel': '20.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 9.70406052783923, 'jinv': '16384/5', 'jorig': '16384/5', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4122
{'Elabel': '220.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.1374835067693, 'jinv': '610462990336/8857805', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4137
{'Elabel': '220.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.2831421016877, 'jinv': '643956736/15125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5959
{'Elabel': '410.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 410, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.7719447426747, 'jinv': '3432086371273321/1520033357120', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5966
{'Elabel': '410.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 410, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.280317412338, 'jinv': '2099167877572921/840500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 12881
{'Elabel': '1140.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1140, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.5007618984535, 'jinv': '130287139815424/52926616125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 12893
{'Elabel': '1140.d4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1140, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.1641096218616, 'jinv': '12592337649664/1315845', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16114
{'Elabel': '1540.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1540, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.3999299633274, 'jinv': '52112158467655991296/71177645', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16129
{'Elabel': '1540.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1540, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.2955005135758, 'jinv': '106110329552896/10850811125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20535
{'Elabel': '2090.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2090, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.633940379546, 'jinv': '8912089320684236569/5116268168000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20547
{'Elabel': '2090.c3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2090, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.8906077173799, 'jinv': '523002686860009/113851032020', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20758
{'Elabel': '2130.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.6654455969499, 'jinv': '1641561767772280600264346089/23228928000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20770
{'Elabel': '2130.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.4838391641997, 'jinv': '3094270610517508996729/7470808558272720', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 28658
{'Elabel': '3190.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.2595671730606, 'jinv': '123104735252886403801/1474019775303680', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 28665
{'Elabel': '3190.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.203094265315, 'jinv': '106093191228100201/2979765602000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 65970
{'Elabel': '9790.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9790, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 64.3745374970797, 'jinv': '9067893484226668442204341249/56846117820000007812500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 65982
{'Elabel': '9790.j3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9790, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.6667408377295, 'jinv': '4074298586529449442833089/198875929376056328000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 72780
{'Elabel': '11210.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 11210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 58.8974097710077, 'jinv': '37915785872260541810847001/214652304439377920', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 72792
{'Elabel': '11210.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 11210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.7968066753915, 'jinv': '210666223428665970601/121817381155208000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 90956
{'Elabel': '15290.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15290, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '30.24.0.a.1', 'curve_level': 30, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.6554998989611, 'jinv': '27145545042562324954129/1745436957984962000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 90968
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