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gps_gl2zhat_fine • Show schema
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{'CPlabel': '24W3', 'Glabel': '384.11502', 'RSZBlabel': '24.192.3.1072', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [2, 5, 11, 21], 'canonical_generators': [[0, 11, 1, 2], [0, 11, 13, 14], [0, 13, 19, 6], [0, 17, 13, 8], [0, 23, 1, 14], [0, 23, 13, 2]], 'cm_discriminants': [], 'coarse_class': '24.96.3.gs', 'coarse_class_num': 175, 'coarse_index': 96, 'coarse_label': '24.96.3.gs.4', 'coarse_level': 24, 'coarse_num': 4, 'conductor': [[2, 12], [3, 4]], 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 5]], 'cusp_widths': [[2, 4], [6, 4], [8, 2], [24, 2]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [2, 1], 'factorization': [], 'fine_num': 16, 'generators': [[1, 15, 12, 7], [1, 18, 16, 13], [13, 15, 20, 17], [19, 0, 12, 23]], 'genus': 3, 'genus_minus_rank': 3, 'has_obstruction': -1, 'index': 192, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1]], 'label': '24.192.3-24.gs.4.16', 'lattice_labels': None, 'lattice_x': None, 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '12.71221532139178247859', 'prec': 77}, 'models': None, 'mults': [1, 1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 1, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 3, 2], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 3, 2], [6, 4, 1], [6, 6, 2], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2]], 'parents': ['12.96.0-12.c.3.3', '24.96.0-12.c.3.1', '24.96.1-24.iu.1.15', '24.96.1-24.iu.1.26', '24.96.2-24.f.2.18', '24.96.2-24.f.2.30'], 'parents_conj': None, 'pointless': False, 'power': False, 'psl2index': 96, 'psl2label': '24.96.3.g.1', 'psl2level': 24, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '8.12.0-4.c.1.1', '12.96.0-12.c.3.3'], 'scalar_label': '12.4.1', 'simple': False, 'sl2label': '24.192.3-24.g.1.3', 'sl2level': 24, 'squarefree': True, 'trace_hash': 684550925176409538, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '24W3', 'Glabel': '768.1035917', 'RSZBlabel': '24.96.3.130', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [2, 5, 11, 21], 'canonical_generators': [[0, 1, 11, 22], [0, 1, 23, 10], [0, 7, 11, 16], [0, 11, 1, 2], [0, 11, 5, 18], [0, 11, 13, 14], [0, 13, 11, 10]], 'cm_discriminants': [], 'coarse_class': '24.96.3.gs', 'coarse_class_num': 175, 'coarse_index': 96, 'coarse_label': '24.96.3.gs.4', 'coarse_level': 24, 'coarse_num': 4, 'conductor': [[2, 12], [3, 4]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 5]], 'cusp_widths': [[2, 4], [6, 4], [8, 2], [24, 2]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [2, 1], 'factorization': [], 'fine_num': 0, 'generators': [[1, 3, 4, 19], [1, 6, 16, 13], [5, 3, 8, 19], [5, 9, 0, 5], [11, 0, 0, 11]], 'genus': 3, 'genus_minus_rank': 3, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1]], 'label': '24.96.3.gs.4', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '12.48.0.c.3', '24.12.0.ba.1', '24.48.1.iu.1', '24.48.2.f.2', '24.96.3.gs.4'], 'lattice_x': [3122, 4616, 1674, 7557, 3349, 5520, 5520, 8778, 8778, 2262, 5520], 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '12.71221532139178247859', 'prec': 77}, 'models': 3, 'mults': [1, 1], 'name': None, 'newforms': ['48.2.c.a', '144.2.a.b'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 0, 'num_known_degree1_noncusp_points': 0, 'num_known_degree1_points': 1, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 48, 1], [24, 16, 2], [24, 32, 2], [24, 48, 2], [24, 192, 1]], 'parents': ['12.48.0.c.3', '24.48.1.iu.1', '24.48.2.f.2'], 'parents_conj': [[15, 10, 20, 5], [11, 18, 2, 5], [1, 0, 0, 1]], 'pointless': False, 'power': False, 'psl2index': 96, 'psl2label': '24.96.3.g.1', 'psl2level': 24, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.3'], 'scalar_label': '12.2.1', 'simple': False, 'sl2label': '24.96.3.g.1', 'sl2level': 24, 'squarefree': True, 'trace_hash': 684550925176409538, 'traces': [0, 0, 2, 0, 4, -6, -2, 4, -8, -6, -8, -14, 6, -4, 0, 2, 4, 26, 4, 8, 30, 8, -4, 6, -26, 18, -16, -12, -6, -18, 8, -4, 6, 12, -14, 16, 26, -12, 24, -6, 12, -46, 0, 6, 18, -16, 20, 8, 12, 66, -10, -16, -10, 20, -2, -8, 10, -8, -78, -26, 28, 18, -12, -24, -50, -6, -20, 86, -12, 58, -2, -24, 8, 66, -20, 0, 2, -54, 30, -82, 12, 34, 32, -10, 0, 20, 14, -2, 26, -8, -36, -16, 32, -12, -12, 24, -6, -26, -4, 74, -44, 26, 28, -10, -36, -90, -44, 14, 24, 14, 40, 18, -42, 44, -16, 14, -12, 8, -6, 12, 66, 134, 2, 4, 4, -6, 34, -32, -48, -86, 4, -8, -24, -14, 22, 6, 18, -28, -22, -26, -4, -30, 16, -28, 42, -24, -126, -42, 12, -32, -86, -50, 4, 8, -4, 16, -16, -50, 94, -6, 12, 54, 16, 36, 30, -24, -40, -46]}
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modcurve_models • Show schema
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id: 16275
{'dont_display': False, 'equation': ['y^2*t-x*z*t-2*y*z*t+y*w*t-z*w*t', 'y^2*z-x*z^2-2*y*z^2+y*z*w-z^2*w', 'y^3-x*y*z-2*y^2*z+y^2*w-y*z*w', 'y^2*w-x*z*w-2*y*z*w+y*w^2-z*w^2', 'x^2*z+y^2*z+x*z^2-y*z^2+x*z*w+z^2*w-x*t^2-y*t^2-w*t^2', 'x*y^2-x^2*z-2*x*y*z+x*y*w-x*z*w', '2*x^2*z+x*y*z+y^2*z+x*z^2-y*z^2-y*z*w+z^2*w+x*t^2+y*t^2+w*t^2', '2*x*y^2+x^2*z+2*y^2*z+2*x*y*w+2*x*z*w+z*w^2', 'x*y^2+x^2*z+y^2*z-x*z^2+y*z^2-3*z^3+x*y*w-y*z*w+2*z^2*w+x*t^2+z*t^2', 'x*y^2+y^3+2*x^2*z+x*y*z-3*x^2*w-y^2*w+x*z*w+y*z*w-x*w^2+y*w^2-z*w^2', '3*x^2*y+x*y^2+2*y^3+2*x*y*z-2*y^2*z+x*y*w-x*z*w+y*w^2-z*w^2', '3*x^3+x^2*y+2*x*y^2-y^3+x^2*z-x*y*z+y^2*z-x*z^2+y*z^2+x^2*w-x*y*w-y^2*w+x*z*w+y*z*w-z^2*w+x*t^2+y*t^2+w*t^2', '3*x^2*t+x*y*t+2*y^2*t+2*x*z*t-2*y*z*t+x*w*t-y*w*t+2*z*w*t', '2*x^2*z+x*z^2+2*y*z^2-3*z^3-x*z*w+y*z*w-2*z^2*w+x*t^2-y*t^2+z*t^2+2*w*t^2', 'x*y^2-x^2*z-2*x*y*z-2*x*y*w+x*z*w-2*y*z*w-3*x*w^2-y*w^2+2*z*w^2-w^3', '3*x*y*t-2*x*z*t+2*y*z*t+3*x*w*t+y*w*t-2*z*w*t+w^2*t'], 'modcurve': '24.96.3.gs.4', 'model_type': 8, 'number_variables': 5, 'smooth': True, 'upload_id': None}
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id: 16276
{'dont_display': False, 'equation': ['9*x^7-27*x^6*y-18*x^5*y^2-27*x^4*y^3+9*x^3*y^4-33*x^5*z^2+81*x^4*y*z^2+141*x^3*y^2*z^2+9*x^2*y^3*z^2+37*x^3*z^4-105*x^2*y*z^4-45*x*y^2*z^4-9*x*z^6+27*y*z^6'], 'modcurve': '24.96.3.gs.4', 'model_type': 2, 'number_variables': 3, 'smooth': False, 'upload_id': None}
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id: 16277
{'dont_display': False, 'equation': ['-3*x^7*z-15*x^6*z^2-21*x^5*z^3-30*x^4*z^4-21*x^3*z^5-15*x^2*z^6-3*x*z^7+y^2'], 'modcurve': '24.96.3.gs.4', 'model_type': 5, 'number_variables': 3, 'smooth': True, 'upload_id': None}
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modcurve_modelmaps • Show schema
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id: 16309
{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['3251922475*x*z*w^12+14069278862*x*z*w^10*t^2-21430210365*x*z*w^8*t^4+4565959665*x*z*w^6*t^6-8097894458*x*z*w^4*t^8+838981983*x*z*w^2*t^10+13107712*x*z*t^12+9400624854*x*w^11*t^2+8107624374*x*w^9*t^4-32973344316*x*w^7*t^6+17407412562*x*w^5*t^8-689032419*x*w^3*t^10-222386688*x*w*t^12-10818593284*y*z*w^12-3105752354*y*z*w^10*t^2+17928885897*y*z*w^8*t^4-12269935104*y*z*w^6*t^6+3804983441*y*z*w^4*t^8+638736801*y*z*w^2*t^10+7164928*y*z*t^12-1224440063*y*w^13-266746864*y*w^11*t^2+30061382007*y*w^9*t^4-23238551577*y*w^7*t^6+14411146351*y*w^5*t^8-2972265633*y*w^3*t^10-151634432*y*w*t^12+21637185840*z^2*w^12+19092033000*z^2*w^10*t^2-37230778575*z^2*w^8*t^4+10459993068*z^2*w^6*t^6-9600119388*z^2*w^4*t^8+336391965*z^2*w^2*t^10+1024*z^2*t^12-803043077*z*w^13-3358735120*z*w^11*t^2-27884709783*z*w^9*t^4+14668243953*z*w^7*t^6-6551384291*z*w^5*t^8+564916575*z*w^3*t^10+13103616*z*w*t^12+w^14-4976390128*w^12*t^2-7820880639*w^10*t^4-9436550268*w^8*t^6+10224277195*w^6*t^8+2620713456*w^4*t^10-328224863*w^2*t^12', 't^2*(243*x*z*w^10+2835*x*z*w^8*t^2-2808*x*z*w^6*t^4-19728*x*z*w^4*t^6-5376*x*z*w^2*t^8+192*x*z*t^10-243*x*w^9*t^2-2592*x*w^7*t^4+2592*x*w^5*t^6+13248*x*w^3*t^8+1920*x*w*t^10-243*y*z*w^10+567*y*z*w^8*t^2+14256*y*z*w^6*t^4+10656*y*z*w^4*t^6-7296*y*z*w^2*t^8-128*y*z*t^10-81*y*w^9*t^2-3672*y*w^7*t^4-5616*y*w^5*t^6+9600*y*w^3*t^8+3136*y*w*t^10+486*z^2*w^10+2187*z^2*w^8*t^2-16848*z^2*w^6*t^4-29952*z^2*w^4*t^6+2304*z^2*w^2*t^8+243*z*w^9*t^2+1080*z*w^7*t^4-4752*z*w^5*t^6-4608*z*w^3*t^8+192*z*w*t^10-324*w^10*t^2-3429*w^8*t^4+6048*w^6*t^6+22848*w^4*t^8+1408*w^2*t^10)'], 'degree': 96, 'domain_label': '24.96.3.gs.4', 'domain_model_type': 8, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-1', '1'], 'upload_id': None}
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id: 16310
{'codomain_label': '24.96.3.gs.4', 'codomain_model_type': 2, 'coordinates': ['z', 'w', 't'], 'degree': 1, 'domain_label': '24.96.3.gs.4', 'domain_model_type': 8, 'dont_display': False, 'factored': False, 'leading_coefficients': None, 'upload_id': None}
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id: 16311
{'codomain_label': '24.96.3.gs.4', 'codomain_model_type': 5, 'coordinates': ['-13/1540*z^7-6/77*z^6*w+9/308*z^5*w^2+1289/23100*z^5*t^2+3/1540*z^4*w^3+401/1925*z^4*w*t^2-603/3850*z^3*w^2*t^2-909/7700*z^3*t^4+54/1925*z^2*w^3*t^2+141/700*z^2*w*t^4+108/1925*z*w^2*t^4+54/1925*z*t^6-162/1925*w*t^6', '941889/8999178496*z^27*t-107475/1124897312*z^26*w*t+1555965/8999178496*z^25*w^2*t-81845333/44995892480*z^25*t^3-22173/2249794624*z^24*w^3*t+14036681/11248973120*z^24*w*t^3-123793941/44995892480*z^23*w^2*t^3+769703839/56244865600*z^23*t^5+97269/409053568*z^22*w^3*t^3-1312556243/224979462400*z^22*w*t^5+4174130547/224979462400*z^21*w^2*t^5-592739688689/10124075808000*z^21*t^7-451140869/224979462400*z^20*w^3*t^5+10068531037/1265509476000*z^20*w*t^7-116970490669/1687345968000*z^19*w^2*t^7+23897731192837/151861137120000*z^19*t^9+191819641/22598383500*z^18*w^3*t^7+4285238839841/151861137120000*z^18*w*t^9+71163051131/451967670000*z^17*w^2*t^9-1879231599829/6779515050000*z^17*t^11-614192111/30131178000*z^16*w^3*t^9-158852067161/1129919175000*z^16*w*t^11-28195897099/125546575000*z^15*w^2*t^11+3662645955827/11299191750000*z^15*t^13+90553954/3138664375*z^14*w^3*t^11+1009489462973/3766397250000*z^14*w*t^13+15792754471/78466609375*z^13*w^2*t^13-2058927762677/8238993984375*z^13*t^15-1868243577/78466609375*z^12*w^3*t^13-760495797716/2746331328125*z^12*w*t^15-304800741786/2746331328125*z^11*w^2*t^15+1701555810077/13731656640625*z^11*t^17+29929579776/2746331328125*z^10*w^3*t^15+89833678593/549266265625*z^10*w*t^17+99471176496/2746331328125*z^9*w^2*t^17-47041915152/1248332421875*z^9*t^19-6977865744/2746331328125*z^8*w^3*t^17-150649334496/2746331328125*z^8*w*t^19-17558011872/2746331328125*z^7*w^2*t^19+87359528304/13731656640625*z^7*t^21+644972544/2746331328125*z^6*w^3*t^19+26667538416/2746331328125*z^6*w*t^21+1289945088/2746331328125*z^5*w^2*t^21-6250991616/13731656640625*z^5*t^23-1934917632/2746331328125*z^4*w*t^23', '137/1540*z^7+4/77*z^6*w-3/154*z^5*w^2-2704/5775*z^5*t^2-1/770*z^4*w^3-802/5775*z^4*w*t^2+201/1925*z^3*w^2*t^2+1553/2310*z^3*t^4-36/1925*z^2*w^3*t^2-47/350*z^2*w*t^4-72/1925*z*w^2*t^4-348/1925*z*t^6+108/1925*w*t^6'], 'degree': 1, 'domain_label': '24.96.3.gs.4', '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: 1727158
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['0:0:0:0:1', '-1/3:0:0:1:0']}, 'curve_genus': 3, 'curve_index': 96, 'curve_label': '24.96.3.gs.4', '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: 1727159
{'Elabel': None, 'ainvs': None, 'cardinality': 3, 'cm': 0, 'conductor_norm': None, 'coordinates': {'8': ['-2,1:2,-1:2,-1:1,0:0,0', '0,2/3:0,-4/3:0,-1:0,-2/3:1,0', '0,0:0,0:0,1/3:0,0:1,0']}, 'curve_genus': 3, 'curve_index': 96, 'curve_label': '24.96.3.gs.4', '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': '2.2.12.1', 'upload_id': None}
-
id: 1727160
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id: 1727161
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