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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8K1', 'Glabel': '768.1087702', 'RSZBlabel': '24.96.1.733', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 7, 17, 16], 'canonical_generators': [[1, 0, 1, 19], [1, 0, 8, 1], [1, 0, 12, 1], [1, 8, 0, 1], [1, 8, 1, 3], [1, 14, 1, 3], [1, 14, 5, 15], [7, 0, 12, 7], [9, 8, 16, 17]], 'cm_discriminants': [], 'coarse_class': '24.96.1.dw', 'coarse_class_num': 101, 'coarse_index': 96, 'coarse_label': '24.96.1.dw.1', 'coarse_level': 24, 'coarse_num': 1, 'conductor': [[2, 6], [3, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2], [4, 3]], 'cusp_widths': [[4, 8], [8, 8]], 'cusps': 16, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[3, 1, 14, 1], [3, 5, 16, 17], [7, 9, 0, 17]], 'genus': 1, 'genus_minus_rank': 0, 'has_obstruction': 0, 'index': 96, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 3], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 2], [12, 8, 3], [24, 8, 2], [24, 16, 2]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 3], [6, 4, 1], [6, 8, 1], [8, 4, 4], [8, 8, 1], [12, 16, 3], [24, 32, 4], [24, 64, 1]], 'label': '24.96.1.dw.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.e.1', '4.12.0.f.1', '8.12.0.r.1', '8.12.0.y.1', '8.24.0.bf.1', '8.48.0.q.2', '24.2.0.b.1', '24.6.0.b.1', '24.6.0.d.1', '24.12.0.bp.1', '24.12.0.bq.1', '24.12.0.bs.1', '24.12.1.by.1', '24.24.0.cl.1', '24.24.0.da.1', '24.24.0.eo.1', '24.24.1.cw.1', '24.24.1.dd.1', '24.24.1.en.1', '24.48.0.bv.1', '24.48.1.kh.1', '24.96.1.dw.1'], 'lattice_x': [1281, 2053, 4200, 5047, 9492, 6780, 9492, 9492, 508, 603, 1996, 603, 1959, 8136, 3314, 1356, 5424, 6780, 8136, 4068, 2712, 8136, 6102, 8136], 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '6.35610766069589123929', 'prec': 74}, 'models': 2, 'mults': [1], 'name': None, 'newforms': ['576.2.a.c'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 0, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 3], [6, 8, 1], [6, 16, 1], [8, 8, 4], [8, 16, 1], [12, 32, 3], [24, 64, 4], [24, 128, 1]], 'parents': ['8.48.0.q.2', '24.48.0.bv.1', '24.48.1.kh.1'], 'parents_conj': [[13, 9, 20, 19], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': None, 'power': True, 'psl2index': 96, 'psl2label': '8.96.1.a.1', 'psl2level': 8, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 1, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.12.0.f.1', '4.12.0.f.1', '8.48.0.q.2'], 'scalar_label': '8.2.2', 'simple': True, 'sl2label': '8.96.1.a.1', 'sl2level': 8, 'squarefree': True, 'trace_hash': 1086616701052248176, 'traces': [0, 0, -2, 0, 0, -6, -2, 0, 0, -10, 0, 2, -10, 0, 0, 14, 0, 10, 0, 0, -6, 0, 0, -10, 18, -2, 0, 0, -6, 14, 0, 0, 22, 0, 14, 0, -22, 0, 0, -26, 0, 18, 0, -14, -2, 0, 0, 0, 0, -30, -26, 0, -30, 0, -2, 0, -26, 0, 18, -10, 0, -34, 0, 0, 26, 22, 0, 18, 0, 10, -34, 0, 0, -14, 0, 0, -34, -38, -2, -6, 0, -30, 0, 34, 0, 0, 14, 42, 38, 0, 0, 0, 0, 0, 0, 0, -10, 22, 0, 42, 0, 38, 0, -26, 0, 2, 0, 46, 0, 10, 0, 34, 38, 0, 0, -50, 0, 0, -26, 0, 50, -46, -2, 0, 0, -10, -30, 0, 0, -54, 0, 0, 0, 18, 38, 50, -34, 0, 22, -10, 0, -50, 0, 0, -54, 0, -46, -58, 0, 0, 58, -50, 0, 0, 0, 0, 0, 46, -38, -58, 0, -26, 0, 0, 62, 0, 0, -62]}
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modcurve_models • Show schema
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id: 15511
{'dont_display': False, 'equation': ['y^2-2*y*z+z^2-2*y*w+w^2', '6*x^2-2*y^2+z^2+2*z*w+w^2'], 'modcurve': '24.96.1.dw.1', 'model_type': 8, 'number_variables': 4, 'smooth': True, 'upload_id': None}
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id: 15512
{'dont_display': False, 'equation': ['4*x^4-12*x^2*y^2+9*y^4-32*x^3*z+24*x*y^2*z+4*x^2*z^2+z^4'], 'modcurve': '24.96.1.dw.1', 'model_type': 2, 'number_variables': 3, 'smooth': False, 'upload_id': None}
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modcurve_modelmaps • Show schema
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id: 15589
{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['24*y*z^23+4072*y*z^22*w+166008*y*z^21*w^2+1697160*y*z^20*w^3-16620120*y*z^19*w^4-300279720*y*z^18*w^5+25439880*y*z^17*w^6+14042577272*y*z^16*w^7+40523919600*y*z^15*w^8-151460567280*y*z^14*w^9-988513560144*y*z^13*w^10-2053487662512*y*z^12*w^11-2053487662512*y*z^11*w^12-988513560144*y*z^10*w^13-151460567280*y*z^9*w^14+40523919600*y*z^8*w^15+14042577272*y*z^7*w^16+25439880*y*z^6*w^17-300279720*y*z^5*w^18-16620120*y*z^4*w^19+1697160*y*z^3*w^20+166008*y*z^2*w^21+4072*y*z*w^22+24*y*w^23-23*z^24-3544*z^23*w-127276*z^22*w^2-927400*z^21*w^3+16118034*z^20*w^4+181625400*z^19*w^5-479536508*z^18*w^6-8805466808*z^17*w^7-10664661113*z^16*w^8+113422126352*z^15*w^9+460068426408*z^14*w^10+814917044208*z^13*w^11+940474615548*z^12*w^12+814917044208*z^11*w^13+460068426408*z^10*w^14+113422126352*z^9*w^15-10664661113*z^8*w^16-8805466808*z^7*w^17-479536508*z^6*w^18+181625400*z^5*w^19+16118034*z^4*w^20-927400*z^3*w^21-127276*z^2*w^22-3544*z*w^23-23*w^24', 'w^2*z^2*(z+w)^8*(20*y*z^11+2212*y*z^10*w+56724*y*z^9*w^2+529860*y*z^8*w^3+2178472*y*z^7*w^4+4329032*y*z^6*w^5+4329032*y*z^5*w^6+2178472*y*z^4*w^7+529860*y*z^3*w^8+56724*y*z^2*w^9+2212*y*z*w^10+20*y*w^11-19*z^12-1856*z^11*w-40634*z^10*w^2-312544*z^9*w^3-1037165*z^8*w^4-1768160*z^7*w^5-1993100*z^6*w^6-1768160*z^5*w^7-1037165*z^4*w^8-312544*z^3*w^9-40634*z^2*w^10-1856*z*w^11-19*w^12)'], 'degree': 96, 'domain_label': '24.96.1.dw.1', 'domain_model_type': 8, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-1', '1'], 'upload_id': None}
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id: 15590
{'codomain_label': '24.96.1.dw.1', 'codomain_model_type': 2, 'coordinates': ['y', '2*x', '2*w'], 'degree': 1, 'domain_label': '24.96.1.dw.1', 'domain_model_type': 8, 'dont_display': False, 'factored': False, 'leading_coefficients': None, 'upload_id': None}
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modcurve_points • Show schema
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id: 1726160
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0,1/6:1,0:0,0:1,0', '0,-1/6:1,0:1,0:0,0']}, 'curve_genus': 1, 'curve_index': 96, 'curve_label': '24.96.1.dw.1', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.2.24.1', 'upload_id': None}
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id: 1726161
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['2/3,2/3,2/3,1/6:2,0,0,-1/2:3,0,0,-1:1,0,0,0']}, 'curve_genus': 1, 'curve_index': 96, 'curve_label': '24.96.1.dw.1', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 4, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '4.0.576.2', 'upload_id': None}
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id: 1726162
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0,-5/3,0,-1/3:0,-3,0,-1:-1,0,0,0:1,0,0,0']}, 'curve_genus': 1, 'curve_index': 96, 'curve_label': '24.96.1.dw.1', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 4, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '4.0.2304.1', 'upload_id': None}
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id: 1726163
{'Elabel': None, 'ainvs': None, 'cardinality': 1, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0,-1/3,0,0:0,0,0,0:0,0,-1/3,0:1,0,0,0']}, 'curve_genus': 1, 'curve_index': 96, 'curve_label': '24.96.1.dw.1', 'curve_level': 24, 'curve_name': None, 'cusp': True, 'degree': 4, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '4.0.2304.2', 'upload_id': None}