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gps_gl2zhat_fine • Show schema
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{'CPlabel': '10F0', 'Glabel': '40.12', 'RSZBlabel': '10.72.0.5', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [0, 9, 9, 1], 'canonical_generators': [[0, 9, 1, 8], [0, 9, 7, 2]], 'cm_discriminants': [], 'coarse_class': '10.36.0.a', 'coarse_class_num': 1, 'coarse_index': 36, 'coarse_label': '10.36.0.a.2', 'coarse_level': 10, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[1, 2], [2, 2], [5, 2], [10, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 4, 'generators': [[1, 2, 0, 3], [9, 1, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [5, 1, 1], [5, 5, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [5, 1, 2], [5, 10, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1]], 'label': '10.72.0-10.a.2.4', 'lattice_labels': None, 'lattice_x': None, 'level': 10, 'level_is_squarefree': True, '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': 42, 'num_known_degree1_noncusp_points': 42, 'num_known_degree1_points': 43, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [5, 2, 2], [5, 20, 1], [10, 2, 6], [10, 20, 1], [10, 40, 1]], 'parents': ['10.24.0-5.a.1.1'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 36, 'psl2label': '10.36.0.a.1', 'psl2level': 10, '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', '5.12.0.a.1'], 'scalar_label': '5.4.1', 'simple': None, 'sl2label': '10.72.0-10.a.1.2', 'sl2level': 10, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '10F0', 'Glabel': '80.50', 'RSZBlabel': '10.36.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [0, 9, 9, 1], 'canonical_generators': [[0, 1, 9, 2], [0, 9, 1, 8], [0, 9, 7, 2]], 'cm_discriminants': [], 'coarse_class': '10.36.0.a', 'coarse_class_num': 1, 'coarse_index': 36, 'coarse_label': '10.36.0.a.2', 'coarse_level': 10, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[1, 2], [2, 2], [5, 2], [10, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.3.0.a.1', '5.12.0.a.1'], 'fine_num': 0, 'generators': [[1, 9, 0, 1], [9, 3, 0, 7], [9, 7, 0, 9]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 36, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [5, 1, 1], [5, 5, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [5, 1, 2], [5, 10, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1]], 'label': '10.36.0.a.2', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '5.6.0.a.1', '5.12.0.a.1', '10.18.0.a.1', '10.36.0.a.2'], 'lattice_x': [5581, 7904, 3258, 2449, 7904, 5177], 'level': 10, 'level_is_squarefree': True, 'level_radical': 10, 'log_conductor': None, 'models': 1, 'mults': None, 'name': 'Xpm1(10)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 42, 'num_known_degree1_noncusp_points': 42, 'num_known_degree1_points': 43, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [5, 2, 2], [5, 20, 1], [10, 2, 2], [10, 4, 2], [10, 20, 1], [10, 40, 1]], 'parents': ['5.12.0.a.1', '10.18.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 36, 'psl2label': '10.36.0.a.1', 'psl2level': 10, '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', '5.12.0.a.1'], 'scalar_label': '5.2.1', 'simple': None, 'sl2label': '10.36.0.a.1', 'sl2level': 10, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 10.36.0.a.2 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^12+32*x^11*y+416*x^10*y^2+2880*x^9*y^3+11520*x^8*y^4+18432*x^7*y^5-65536*x^6*y^6-442368*x^5*y^7-983040*x^4*y^8-655360*x^3*y^9+1048576*x^2*y^10+2097152*x*y^11+1048576*y^12)^3', 'y^5*x^46*(x+2*y)^5*(x+4*y)^10*(x^2+2*x*y-4*y^2)*(x^2+12*x*y+16*y^2)^2'], 'degree': 36, 'domain_label': '10.36.0.a.2', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-1', '2^5'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1902
{'Elabel': '66.c3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 66, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 23.0349790695207, 'jinv': '10091699281/2737152', 'jorig': '10091699281/2737152', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1914
{'Elabel': '66.c4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 66, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.8478558903185, 'jinv': '168105213359/228637728', 'jorig': '168105213359/228637728', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2828
{'Elabel': '150.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 150, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.9424042407193, 'jinv': '502270291349/1889568', 'jorig': '502270291349/1889568', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2864
{'Elabel': '150.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 150, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.7841341388055, 'jinv': '-19465109/248832', 'jorig': '-19465109/248832', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 7603
{'Elabel': '570.l3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 570, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.7670044375943, 'jinv': '75224183150104868881/11219310000000000', 'jorig': '75224183150104868881/11219310000000000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 7613
{'Elabel': '570.l4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 570, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.0381745054107, 'jinv': '89962967236397039/287450726400000', 'jorig': '89962967236397039/287450726400000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10733
{'Elabel': '870.h3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 870, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.6454823824846, 'jinv': '9015548596898711041/63863437500000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10740
{'Elabel': '870.h4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 870, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.8357519598112, 'jinv': '9944061759313921/5479747200000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 47222
{'Elabel': '6270.r2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6270, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.6974645459293, 'jinv': '10414276373665867414321/301547812500000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 47233
{'Elabel': '6270.r4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6270, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.2547827563023, 'jinv': '-2243980016705847601/434411683200000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 68500
{'Elabel': '10230.bf3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10230, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.8996586456186, 'jinv': '12747965531857798561201/2986780262400000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 68506
{'Elabel': '10230.bf4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10230, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.5307003633333, 'jinv': '-8814635019030000319921/6242069790000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 74221
{'Elabel': '11550.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 11550, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.9178262574465, 'jinv': '260744057755293612689909/8504954620259328', 'jorig': '260744057755293612689909/8504954620259328', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 74233
{'Elabel': '11550.f2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 11550, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.7275368010983, 'jinv': '72313087342699809269/11447096545640448', 'jorig': '72313087342699809269/11447096545640448', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 147481
{'Elabel': '29370.bm3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 29370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 68.7669513548608, 'jinv': '733005968209216932163418210881/972182437259299200000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 147486
{'Elabel': '29370.bm4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 29370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.4753000422106, 'jinv': '183691516586815867994210881/6511602493440000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 160259
{'Elabel': '32718.l2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 32718, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.7407405012646, 'jinv': '1769935296778757928512038081/2244956575342666752', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 160264
{'Elabel': '32718.l3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 32718, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.3972291342929, 'jinv': '-421130255542777411888321/15402588724729479168', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 258562
{'Elabel': '61770.be2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 61770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 71.6728744552753, 'jinv': '13400897273900477255187118481761/1631134479352924800000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 258567
{'Elabel': '61770.be3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 61770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.3471549829734, 'jinv': '-3245785780942463481262481761/36104958351360000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 307590
{'Elabel': '77610.bb3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 77610, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 73.5338681271278, 'jinv': '86169418186840207524668053126801/33010505869278473338982400000', 'jorig': '86169418186840207524668053126801/33010505869278473338982400000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 307602
{'Elabel': '77610.bb4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 77610, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 71.0953169783655, 'jinv': '7521489487871336442200725126801/188267790084341760000000000', 'jorig': '7521489487871336442200725126801/188267790084341760000000000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 350439
{'Elabel': '92442.n3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 92442, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 72.5065046209648, 'jinv': '30844295769861594410348211372001/2202100653928823895428923392', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 350444
{'Elabel': '92442.n4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 92442, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 72.4526101350884, 'jinv': '29225959703644585098026815619041/166525600515144466563072', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 357068
{'Elabel': '94710.cx3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 94710, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.920329397524, 'jinv': '286657225480543563498731761/106415753000070937500000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 357073
{'Elabel': '94710.cx4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 94710, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.5502784447777, 'jinv': '197993898174778925173824241/58723661173161600000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 436817
{'Elabel': '123690.by3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 123690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 36, 'curve_label': '10.36.0.a.2', 'curve_level': 10, 'curve_name': 'Xpm1(10)', 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 61.1675808940358, 'jinv': '367064896520710054039897441/18666454802704739100000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 436822
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id: 979249
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id: 1848121
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