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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '48.48.0.341', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [43, 43, 45, 44], 'canonical_generators': [[1, 0, 1, 17], [1, 0, 1, 19], [1, 0, 8, 1], [1, 0, 18, 1], [1, 0, 24, 1], [13, 0, 18, 13], [23, 24, 24, 23], [25, 0, 0, 1], [29, 0, 30, 29], [39, 40, 32, 31], [47, 24, 0, 47], [47, 40, 0, 47], [47, 40, 38, 27], [47, 40, 47, 45]], 'cm_discriminants': [], 'coarse_class': '24.24.0.bl', 'coarse_class_num': 38, 'coarse_index': 24, 'coarse_label': '24.24.0.bl.1', 'coarse_level': 24, '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': 3, 'generators': [[1, 31, 32, 37], [15, 4, 8, 3], [21, 22, 32, 25], [33, 26, 16, 45], [43, 25, 8, 45]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], 'label': '48.48.0-24.bl.1.3', 'lattice_labels': None, 'lattice_x': None, 'level': 48, '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': 54, 'num_known_degree1_noncusp_points': 54, 'num_known_degree1_points': 55, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [48, 64, 2], [48, 128, 1], [48, 256, 1], [48, 1024, 1]], 'parents': ['16.24.0-8.n.1.8', '48.24.0-8.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': 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', '8.12.0.n.1', '12.12.0.h.1', '16.24.0-8.n.1.8', '24.24.0.bl.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '16.48.0-8.b.1.2', 'sl2level': 16, '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': '24.24.0.156', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [13, 13, 11, 10], 'canonical_generators': [[1, 0, 1, 17], [1, 0, 1, 19], [1, 0, 8, 1], [1, 0, 18, 1], [1, 8, 0, 1], [1, 8, 1, 3], [1, 8, 10, 21], [9, 8, 16, 17], [13, 0, 18, 13], [19, 0, 18, 19]], 'cm_discriminants': [], 'coarse_class': '24.24.0.bl', 'coarse_class_num': 38, 'coarse_index': 24, 'coarse_label': '24.24.0.bl.1', 'coarse_level': 24, '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': [[7, 23, 4, 7], [15, 5, 16, 1], [15, 10, 8, 11], [15, 22, 4, 9], [23, 4, 20, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1]], 'label': '24.24.0.bl.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.2.0.a.1', '12.6.0.a.1', '12.6.0.g.1', '12.12.0.h.1', '24.12.0.z.1', '24.24.0.bl.1'], 'lattice_x': [2305, 3695, 6305, 8746, 915, 1085, 3525, 3525, 5966, 5966], 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 54, 'num_known_degree1_noncusp_points': 54, 'num_known_degree1_points': 55, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1]], 'parents': ['8.12.0.n.1', '12.12.0.h.1', '24.12.0.z.1'], 'parents_conj': [[5, 19, 10, 7], [1, 0, 0, 1], [11, 5, 2, 15]], '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', '8.12.0.n.1', '12.12.0.h.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 24.24.0.bl.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*(81*x^8+1620*x^6*y^2+1206*x^4*y^4+180*x^2*y^6+y^8)^3', 'y^2*x^26*(3*x^2-y^2)^8*(3*x^2+y^2)^2'], 'degree': 24, 'domain_label': '24.24.0.bl.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2^2', '3'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1848274
{'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': '24.24.0.bl.1', 'curve_level': 24, '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: 589
{'Elabel': '21.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 31.6069098121035, 'jinv': '53297461115137/147', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 714
{'Elabel': '24.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.1743649278345, 'jinv': '28756228/3', 'jorig': '28756228/3', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6101
{'Elabel': '429.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 429, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.6417130335622, 'jinv': '3013001140430737/108679952667', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 15802
{'Elabel': '1482.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1482, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.8331700663852, 'jinv': '1472024100054611377/3533745483372', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16275
{'Elabel': '1560.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1560, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.7967782394996, 'jinv': '1556580279686303289604/114075', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19424
{'Elabel': '1974.h2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1974, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.9644690950958, 'jinv': '1840766649574711997377/686050791298657932', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20933
{'Elabel': '2139.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2139, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.2507642256042, 'jinv': '331700532630485560417/2031935135086107', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 21327
{'Elabel': '2184.c4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2184, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.2979031262268, 'jinv': '5807363790481348/1079211743883', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 26572
{'Elabel': '2838.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2838, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.2499857802133, 'jinv': '133713416563031354522257/42805753664652', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 34174
{'Elabel': '4074.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4074, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.213979050273, 'jinv': '2841072266191027343455282177/5532492', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 52411
{'Elabel': '7215.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7215, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.2567621728853, 'jinv': '18219186097592883464881/83755151778675', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63249
{'Elabel': '9240.r4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.6720343446517, 'jinv': '62380825826921284/787768887675', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 89631
{'Elabel': '15015.i1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15015, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 77.8045753155721, 'jinv': '6167337657175608278710367816539201/124974906951542660615277675', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 94490
{'Elabel': '16104.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 16104, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.6527444868516, 'jinv': '80697069006518105560750468/41547883591831538692683', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 112214
{'Elabel': '20202.i1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20202, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 61.912099203472, 'jinv': '772828353560297458899807697/12565515898621354032', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 129234
{'Elabel': '24522.l2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24522, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.149141304091, 'jinv': '328604319676785444543217/41307558146150131632', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 165179
{'Elabel': '34086.g1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 34086, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 78.9721023629879, 'jinv': '19822036912560975243977550820289377/82787550684675790512', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 168453
{'Elabel': '34989.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 34989, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.533238849229, 'jinv': '9690990285934951263776017/5511717900697421531187', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 168867
{'Elabel': '35112.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 35112, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.0939855954896, 'jinv': '114399721284067149505348/102378444642243', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 182486
{'Elabel': '38922.i1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 38922, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 82.867002574479, 'jinv': '974275877842864549796278653498077617/3158887485319180992', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 206556
{'Elabel': '45870.n1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 45870, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 67.5126138397032, 'jinv': '209100778361440519632458098321/4969953527761200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 212277
{'Elabel': '47397.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 47397, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.3119593200847, 'jinv': '2857414194966033684643537/1921280599061886027', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 221262
{'Elabel': '50232.c4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 50232, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.7103092236692, 'jinv': '26148126661896081028/1945479807335883', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 221962
{'Elabel': '50370.x1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 50370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '24.24.0.bl.1', 'curve_level': 24, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.4916869866902, 'jinv': '68692825044748049052589921/125195772168734700', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 255772
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