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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': None, 'RSZBlabel': '40.24.0.178', '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, 4, 1], [1, 0, 10, 1], [1, 0, 20, 1], [1, 4, 0, 1], [1, 4, 7, 5], [1, 4, 9, 15], [1, 20, 0, 1], [19, 0, 0, 39], [21, 20, 20, 21], [29, 0, 30, 29], [35, 36, 24, 23], [39, 36, 38, 25]], 'cm_discriminants': [], 'coarse_class': '20.12.0.h', 'coarse_class_num': 8, 'coarse_index': 12, 'coarse_label': '20.12.0.h.1', 'coarse_level': 20, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 2, 'generators': [[11, 4, 7, 11], [13, 16, 7, 7], [17, 20, 24, 33], [33, 4, 1, 37]], '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, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [20, 6, 2], [20, 24, 1], [40, 12, 2], [40, 48, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [20, 24, 2], [20, 96, 1], [40, 96, 2], [40, 384, 1]], 'label': '40.24.0-20.h.1.2', 'lattice_labels': None, 'lattice_x': None, 'level': 40, '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': 480, 'num_known_degree1_noncusp_points': 480, 'num_known_degree1_points': 481, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [20, 48, 2], [20, 192, 1], [40, 192, 2], [40, 768, 1]], 'parents': ['8.12.0-4.c.1.4', '40.12.0-4.c.1.1'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, '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', '8.12.0-4.c.1.4', '20.12.0.h.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '4.24.0-4.a.1.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': None, 'RSZBlabel': '20.12.0.8', '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, 4, 1], [1, 0, 10, 1], [1, 4, 0, 1], [1, 4, 2, 15], [1, 4, 7, 5], [1, 4, 9, 15], [5, 4, 16, 17], [11, 0, 10, 11]], 'cm_discriminants': [], 'coarse_class': '20.12.0.h', 'coarse_class_num': 8, 'coarse_index': 12, 'coarse_label': '20.12.0.h.1', 'coarse_level': 20, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[5, 12, 6, 7], [5, 12, 13, 15], [7, 0, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [10, 6, 1], [10, 12, 1], [20, 6, 2], [20, 24, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [10, 12, 1], [10, 24, 1], [20, 24, 2], [20, 96, 1]], 'label': '20.12.0.h.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '20.2.0.a.1', '20.6.0.a.1', '20.6.0.e.1', '20.12.0.h.1'], 'lattice_x': [3049, 4888, 8341, 1211, 1435, 4664, 4664], 'level': 20, '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': 480, 'num_known_degree1_noncusp_points': 480, 'num_known_degree1_points': 481, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [10, 24, 1], [10, 48, 1], [20, 48, 2], [20, 192, 1]], 'parents': ['4.6.0.c.1', '20.6.0.a.1', '20.6.0.e.1'], 'parents_conj': [[6, 5, 7, 6], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, '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'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 20.12.0.h.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^12*(11*x^4+192*x^3*y-4736*x^2*y^2+12288*x*y^3+45056*y^4)^3', 'x^12*(x-8*y)^2*(x+8*y)^2*(3*x^2-32*x*y+192*y^2)^4'], 'degree': 12, 'domain_label': '20.12.0.h.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2^6', '5'], 'upload_id': None}
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modcurve_points • Show schema
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id: 2345
{'Elabel': '105.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 105, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.1966321194016, 'jinv': '590589719/972405', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2556
{'Elabel': '120.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.8156850169144, 'jinv': '54607676/32805', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 334
{'Elabel': '15.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.7156122581208, 'jinv': '-147281603041/215233605', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6793
{'Elabel': '480.d4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 11.3525689017548, 'jinv': '85184/405', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848197
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-8:1', '0:1']}, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, '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: 3651
{'Elabel': '210.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.3764832039423, 'jinv': '-932348627918877961/358766164249920', 'jorig': '-932348627918877961/358766164249920', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3710
{'Elabel': '210.b8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.297715626934, 'jinv': '785793873833639/637994920500', 'jorig': '785793873833639/637994920500', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8689
{'Elabel': '690.f4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 19.932158291943, 'jinv': '46268279/453342420', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8880
{'Elabel': '705.f4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 705, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.2075892439055, 'jinv': '1779919481159/49406770125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10209
{'Elabel': '840.e3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 15.7736659979101, 'jinv': '-7086244/972405', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10290
{'Elabel': '840.f5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 19.9013961533526, 'jinv': '439608956/259416045', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10673
{'Elabel': '870.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 870, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.314347042039, 'jinv': '-108129104595721/371237651280', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11157
{'Elabel': '915.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 915, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.8852523979915, 'jinv': '474369503399/623062845', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 15034
{'Elabel': '1335.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1335, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.5652339242371, 'jinv': '46617130799/2823400845', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19614
{'Elabel': '1995.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1995, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.4917346109254, 'jinv': '19162556947522799/68270261146605', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 21909
{'Elabel': '2235.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2235, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.8286652232691, 'jinv': '-1218528651241/22179798045', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22710
{'Elabel': '2310.n6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.8798086252069, 'jinv': '76786760064334319/91531319653620', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23181
{'Elabel': '2370.j5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.6654206919568, 'jinv': '-1364971759049420798401/231293979972486793620', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23545
{'Elabel': '2415.c4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2415, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.784108736908, 'jinv': '470166844956479/272118787605', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 27801
{'Elabel': '3045.f4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3045, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.7746609415633, 'jinv': '187895234960241479/41283008937820125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 27821
{'Elabel': '3045.g4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3045, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.7593398398355, 'jinv': '-157551496201/1136915307045', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 29001
{'Elabel': '3210.e3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.4757489303369, 'jinv': '-938917686360961/212348953620', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 29344
{'Elabel': '3270.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3270, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 31.3198550485714, 'jinv': '39998179182599/25408468980', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 29918
{'Elabel': '3360.g4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3360, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.6137480242689, 'jinv': '-2671731885376/1969120125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30004
{'Elabel': '3360.k4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3360, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.735241900755, 'jinv': '1012048064/130203045', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30030
{'Elabel': '3360.l4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3360, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 18.7844750529631, 'jinv': '143877824/108045', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30593
{'Elabel': '3480.s4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.2469386728433, 'jinv': '33908741276/31827645', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 31114
{'Elabel': '3570.o4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3570, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '20.12.0.h.1', 'curve_level': 20, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.7675812952978, 'jinv': '27689398696638536759/193555307298039120', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 32341
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