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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 10, 1], [1, 0, 40, 1], [1, 8, 1, 35], [3, 8, 9, 3], [3, 8, 9, 23], [21, 0, 10, 21], [39, 40, 40, 39], [41, 0, 0, 1], [69, 0, 70, 69], [71, 72, 48, 47], [79, 40, 0, 79], [79, 72, 0, 79], [79, 72, 79, 55]], 'cm_discriminants': [], 'coarse_class': '40.24.0.bj', 'coarse_class_num': 36, 'coarse_index': 24, 'coarse_label': '40.24.0.bj.1', 'coarse_level': 40, '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': 7, 'generators': [[1, 40, 49, 67], [5, 64, 7, 45], [15, 8, 2, 59], [63, 8, 72, 55], [79, 72, 57, 23]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [20, 6, 2], [20, 24, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1], [80, 12, 2], [80, 24, 1], [80, 96, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [20, 24, 2], [20, 96, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1], [80, 192, 2], [80, 384, 1], [80, 1536, 1]], 'label': '80.48.0-40.bj.1.7', 'lattice_labels': None, 'lattice_x': None, 'level': 80, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [20, 48, 2], [20, 192, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [80, 192, 2], [80, 384, 1], [80, 768, 1], [80, 3072, 1]], 'parents': ['16.24.0-8.n.1.8', '80.24.0-8.n.1.7'], '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': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '10.6.0.a.1', '16.24.0-8.n.1.8', '20.12.0.g.1', '40.24.0.bj.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 16, 'squarefree': None, 'trace_hash': None, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '40.24.0.143', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 10, 1], [1, 8, 0, 1], [1, 8, 1, 25], [1, 8, 1, 35], [3, 8, 9, 3], [3, 8, 9, 23], [9, 8, 32, 33], [11, 0, 10, 11], [21, 0, 10, 21]], 'cm_discriminants': [], 'coarse_class': '40.24.0.bj', 'coarse_class_num': 36, 'coarse_index': 24, 'coarse_label': '40.24.0.bj.1', 'coarse_level': 40, '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': [[11, 24, 30, 29], [15, 8, 39, 9], [21, 24, 5, 3], [33, 16, 27, 15], [37, 16, 31, 17]], '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], [5, 6, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [20, 6, 2], [20, 24, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [20, 24, 2], [20, 96, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1]], 'label': '40.24.0.bj.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '10.2.0.a.1', '10.6.0.a.1', '20.6.0.d.1', '20.12.0.g.1', '40.12.0.ba.1', '40.24.0.bj.1'], 'lattice_x': [2305, 3695, 6305, 8746, 915, 1085, 3525, 3525, 5966, 5966], 'level': 40, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 44, 'num_known_degree1_noncusp_points': 44, 'num_known_degree1_points': 45, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [20, 48, 2], [20, 192, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1]], 'parents': ['8.12.0.n.1', '20.12.0.g.1', '40.12.0.ba.1'], 'parents_conj': [[4, 35, 11, 26], [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', '4.6.0.c.1', '8.12.0.n.1', '10.6.0.a.1', '20.12.0.g.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 40.24.0.bj.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*(625*x^8+480000*x^6*y^2+13721600*x^4*y^4+78643200*x^2*y^6+16777216*y^8)^3', 'y^2*x^26*(5*x^2-64*y^2)^8*(5*x^2+64*y^2)^2'], 'degree': 24, 'domain_label': '40.24.0.bj.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^4*5'], 'upload_id': None}
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modcurve_points • Show schema
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id: 2538
{'Elabel': '120.b5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, '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: 278
{'Elabel': '15.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.6472224698039, 'jinv': '1114544804970241/405', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1766475
{'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': '40.24.0.bj.1', 'curve_level': 40, '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: 10278
{'Elabel': '840.f4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.6419860439199, 'jinv': '2748251600896/2205', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19578
{'Elabel': '1995.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1995, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.3541422578334, 'jinv': '335414091635204401/37448756505405', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22671
{'Elabel': '2310.n1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.9092538420733, 'jinv': '11736717412386894481/1890645330420', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23136
{'Elabel': '2370.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.2990453707534, 'jinv': '381747126876224634907201/199075018035938934420', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 35437
{'Elabel': '4305.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4305, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.6982636047888, 'jinv': '28331567770941075443041/862731246380378445', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 38122
{'Elabel': '4785.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.2638249638717, 'jinv': '913509056630821729681/8112411851445', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 38777
{'Elabel': '4830.bj1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4830, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 69.2945028083038, 'jinv': '1242282009445982549834550082561/41992020', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 51633
{'Elabel': '7095.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7095, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 61.2942086342696, 'jinv': '416616611666950281482007841/95581181832463041400125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63437
{'Elabel': '9240.bf5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.060335247455, 'jinv': '1847444944806639616/38285567941005', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 79631
{'Elabel': '12810.o1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 12810, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 70.8909920994763, 'jinv': '6131499334333493053268365294321/13695953855151749202000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 107420
{'Elabel': '19065.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19065, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.4767151922546, 'jinv': '8351392065341436558721/64516942527224445', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 134945
{'Elabel': '26040.u6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 26040, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.0429317526499, 'jinv': '732453661952460322816/423140565950416125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 151627
{'Elabel': '30360.q5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 30360, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.216207259418, 'jinv': '14547670307977216/5102813162205', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 184969
{'Elabel': '39480.l4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 39480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.7415120342922, 'jinv': '29583745779050561468416/4870845', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 189090
{'Elabel': '40710.w2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 40710, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 55.5376634688328, 'jinv': '1317348806503058986320721/55924777074733782480', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 231237
{'Elabel': '53070.r1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 53070, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.8919955012888, 'jinv': '5103636217143167419213681/335055042473018580', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 234835
{'Elabel': '54120.p4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 54120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.2905964385216, 'jinv': '3067303778544830170810464256/228826125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 259675
{'Elabel': '62130.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 62130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 64.5215517871192, 'jinv': '10503980455009451831464745521/145282832992887120', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 284934
{'Elabel': '70035.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 70035, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 91.5514953743044, 'jinv': '5758498407255390070379146888636677053041/35025183378156776041125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 284980
{'Elabel': '70035.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 70035, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 58.55104332581, 'jinv': '26816063544696183993471601/583509927166293645', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 350284
{'Elabel': '92415.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 92415, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.3769355798624, 'jinv': '1230152405997086126696075761/792020551453531709805', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 366172
{'Elabel': '98040.f5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 98040, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '40.24.0.bj.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.6053644738922, 'jinv': '173961289443263051776/12718056265437645', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 427033
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