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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8N0', 'Glabel': None, 'RSZBlabel': '40.96.0.927', '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, 2, 24, 35], [1, 8, 0, 1], [1, 20, 0, 1], [5, 2, 24, 21], [9, 8, 32, 33], [31, 20, 20, 31], [39, 0, 20, 39], [39, 36, 28, 25], [39, 38, 36, 5]], 'cm_discriminants': [], 'coarse_class': '40.48.0.o', 'coarse_class_num': 15, 'coarse_index': 48, 'coarse_label': '40.48.0.o.2', 'coarse_level': 40, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2], [4, 1]], 'cusp_widths': [[4, 8], [8, 2]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 15, 'generators': [[1, 6, 16, 3], [7, 8, 36, 31], [21, 32, 24, 25], [35, 12, 12, 9]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [20, 6, 2], [20, 12, 2], [40, 12, 2], [40, 24, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [8, 4, 4], [8, 8, 1], [10, 12, 3], [20, 24, 2], [20, 48, 2], [40, 96, 4], [40, 192, 1]], 'label': '40.96.0-40.o.2.15', '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': 5, 'num_known_degree1_noncusp_points': 5, 'num_known_degree1_points': 6, 'obstructions': None, 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2], [5, 24, 1], [8, 4, 2], [8, 8, 5], [10, 24, 3], [20, 48, 2], [20, 96, 2], [40, 96, 2], [40, 192, 5]], 'parents': ['8.48.0-8.e.1.2', '40.48.0-8.e.1.5', '40.48.0-40.e.1.14', '40.48.0-40.e.1.19', '40.48.0-40.h.2.7', '40.48.0-40.h.2.17'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.a.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', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '4.12.0.b.1', '8.48.0-8.e.1.2'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '8.96.0-8.a.1.2', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8N0', 'Glabel': None, 'RSZBlabel': '40.48.0.305', '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, 20, 1], [1, 2, 4, 35], [1, 2, 24, 35], [1, 4, 12, 15], [1, 8, 0, 1], [1, 20, 0, 1], [5, 2, 24, 21], [9, 8, 32, 33], [31, 20, 20, 31]], 'cm_discriminants': [], 'coarse_class': '40.48.0.o', 'coarse_class_num': 15, 'coarse_index': 48, 'coarse_label': '40.48.0.o.2', 'coarse_level': 40, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2], [4, 1]], 'cusp_widths': [[4, 8], [8, 2]], 'cusps': 10, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[7, 24, 28, 23], [11, 14, 0, 29], [29, 8, 16, 9], [33, 34, 20, 13], [35, 6, 36, 37]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [20, 6, 2], [20, 12, 2], [40, 12, 2], [40, 24, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [8, 4, 4], [8, 8, 1], [10, 12, 3], [20, 24, 2], [20, 48, 2], [40, 96, 4], [40, 192, 1]], 'label': '40.48.0.o.2', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.c.1', '4.6.0.d.1', '4.12.0.b.1', '8.24.0.e.1', '40.6.0.c.1', '40.6.0.d.1', '40.6.0.e.1', '40.6.0.f.1', '40.12.0.a.1', '40.12.0.b.1', '40.24.0.e.1', '40.24.0.h.2', '40.48.0.o.2'], 'lattice_x': [4556, 3629, 5483, 3803, 2104, 521, 2954, 2529, 6699, 9479, 8089, 5309, 5309, 7394, 5309, 3919, 3919], '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': 5, 'num_known_degree1_noncusp_points': 5, 'num_known_degree1_points': 6, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2], [5, 24, 1], [8, 8, 4], [8, 16, 1], [10, 24, 3], [20, 48, 2], [20, 96, 2], [40, 192, 4], [40, 384, 1]], 'parents': ['8.24.0.e.1', '40.24.0.e.1', '40.24.0.h.2'], 'parents_conj': [[29, 12, 18, 21], [1, 0, 0, 1], [39, 1, 31, 0]], 'pointless': False, 'power': None, 'psl2index': 48, 'psl2label': '8.48.0.a.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', '2.6.0.a.1', '2.6.0.a.1', '4.12.0.b.1', '4.12.0.b.1', '8.24.0.e.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.48.0.a.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 40.48.0.o.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-2*y)^48*(390625*x^16+5000000*x^14*y^2+252000000*x^12*y^4+1523200000*x^10*y^6+4275200000*x^8*y^8+3899392000*x^6*y^10+1651507200*x^4*y^12+83886080*x^2*y^14+16777216*y^16)^3', 'y^4*x^4*(x-2*y)^48*(5*x^2-8*y^2)^8*(5*x^2+8*y^2)^4*(25*x^4+240*x^2*y^2+64*y^4)^4'], 'degree': 48, 'domain_label': '40.48.0.o.2', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^6*5^2'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1848502
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['0:1', '2:1']}, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '40.48.0.o.2', '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: 105924
{'Elabel': '18690.l2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 18690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '40.48.0.o.2', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.8331174949394, 'jinv': '239566380686078309841601/98837607552560100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 231664
{'Elabel': '53130.bu2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 53130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '40.48.0.o.2', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.348213464386, 'jinv': '161769297788249948867579041/42346187902342873880100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 448922
{'Elabel': '128310.bl2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 128310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '40.48.0.o.2', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 69.5504488596741, 'jinv': '1604634604399075668978134590561/3512748212365888641600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 894395
{'Elabel': '318570.bd2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 318570, 'coordinates': None, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '40.48.0.o.2', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 90.900459288449, 'jinv': '3003086705909814913427411222707628672161/220737806118132192312007042365465600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1084059
{'Elabel': '410970.x2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 410970, 'coordinates': None, 'curve_genus': 0, 'curve_index': 48, 'curve_label': '40.48.0.o.2', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 78.9676638764296, 'jinv': '19734252028294418433159441422001121/285259739694090128100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}