-
gps_gl2zhat_fine • Show schema
{'CPlabel': '24AA3', 'Glabel': '384.20133', 'RSZBlabel': '24.192.3.103', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 20, 5], 'canonical_generators': [[1, 2, 4, 9], [7, 2, 16, 15], [11, 22, 8, 15], [15, 22, 8, 7], [19, 14, 16, 15], [21, 20, 16, 23], [23, 22, 0, 7], [23, 22, 8, 15]], 'cm_discriminants': [], 'coarse_class': '24.96.3.bq', 'coarse_class_num': 43, 'coarse_index': 96, 'coarse_label': '24.96.3.bq.2', 'coarse_level': 24, 'coarse_num': 2, 'conductor': [[2, 9], [3, 3]], 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 8], [2, 2]], 'cusp_widths': [[2, 2], [4, 3], [6, 2], [8, 1], [12, 3], [24, 1]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1, 2], 'factorization': ['3.4.0.a.1', '8.48.0-8.e.1.15'], 'fine_num': 47, 'generators': [[7, 16, 12, 17], [11, 4, 12, 7], [17, 10, 12, 1], [17, 12, 0, 17], [19, 18, 0, 17], [23, 20, 12, 7]], 'genus': 3, 'genus_minus_rank': 3, 'has_obstruction': -1, 'index': 192, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 2, 2], [6, 1, 3], [6, 3, 3], [8, 2, 2], [8, 4, 2], [12, 1, 2], [12, 2, 2], [12, 3, 2], [12, 6, 2], [24, 2, 2], [24, 4, 2], [24, 6, 2], [24, 12, 2]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 2, 2], [6, 1, 3], [6, 3, 3], [8, 4, 4], [8, 8, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 12, 2], [24, 8, 4], [24, 16, 1], [24, 24, 4], [24, 48, 1]], 'label': '24.192.3-24.bq.2.47', 'lattice_labels': None, 'lattice_x': None, 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '9.53416149104383685894', 'prec': 74}, '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, 3], [3, 2, 1], [3, 6, 1], [4, 2, 2], [4, 4, 2], [6, 2, 3], [6, 6, 3], [8, 8, 6], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 24, 2], [24, 16, 6], [24, 48, 6]], 'parents': ['8.48.0-8.e.1.15', '24.96.1-12.b.1.6', '24.96.1-12.b.1.29'], 'parents_conj': None, 'pointless': False, 'power': False, 'psl2index': 96, 'psl2label': '24.96.3.c.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': 0, 'rational_cusps': 8, 'reductions': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0.b.1', '6.24.0.a.1', '8.48.0-8.e.1.15', '12.48.1.b.1'], 'scalar_label': '8.4.1', 'simple': False, 'sl2label': '24.192.3-24.c.1.3', 'sl2level': 24, 'squarefree': True, 'trace_hash': 1607960946259229751, 'traces': None} -
gps_gl2zhat_fine • Show schema
{'CPlabel': '24AA3', 'Glabel': '768.1083444', 'RSZBlabel': '24.96.3.6', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 20, 5], 'canonical_generators': [[1, 2, 0, 17], [1, 2, 4, 9], [1, 2, 16, 9], [3, 4, 8, 1], [5, 10, 8, 9], [7, 2, 16, 15], [9, 2, 16, 17], [13, 2, 16, 9]], 'cm_discriminants': [], 'coarse_class': '24.96.3.bq', 'coarse_class_num': 43, 'coarse_index': 96, 'coarse_label': '24.96.3.bq.2', 'coarse_level': 24, 'coarse_num': 2, 'conductor': [[2, 9], [3, 3]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 8], [2, 2]], 'cusp_widths': [[2, 2], [4, 3], [6, 2], [8, 1], [12, 3], [24, 1]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1, 2], 'factorization': ['3.4.0.a.1', '8.24.0.e.1'], 'fine_num': 0, 'generators': [[1, 22, 12, 17], [5, 16, 12, 7], [7, 0, 12, 23], [7, 22, 0, 23], [13, 18, 12, 23], [17, 16, 0, 1], [19, 16, 12, 23]], 'genus': 3, 'genus_minus_rank': 3, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 2, 2], [6, 1, 3], [6, 3, 3], [8, 2, 2], [8, 4, 2], [12, 1, 2], [12, 2, 2], [12, 3, 2], [12, 6, 2], [24, 2, 2], [24, 4, 2], [24, 6, 2], [24, 12, 2]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 2, 2], [6, 1, 3], [6, 3, 3], [8, 4, 4], [8, 8, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 12, 2], [24, 8, 4], [24, 16, 1], [24, 24, 4], [24, 48, 1]], 'label': '24.96.3.bq.2', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '4.6.0.d.1', '4.12.0.b.1', '6.8.0.a.1', '6.12.0.a.1', '6.24.0.a.1', '8.24.0.e.1', '12.24.0.g.1', '12.24.1.k.1', '12.48.1.b.1', '24.96.3.bq.2'], 'lattice_x': [7241, 7241, 4717, 6156, 9127, 1486, 3420, 2146, 8467, 5637, 7995, 637, 3585, 5637, 3585, 2099], 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '9.53416149104383685894', 'prec': 74}, 'models': 1, 'mults': [1, 1], 'name': None, 'newforms': ['24.2.a.a', '24.2.d.a'], '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, 3], [3, 2, 1], [3, 6, 1], [4, 2, 2], [4, 4, 2], [6, 2, 3], [6, 6, 3], [8, 8, 4], [8, 16, 1], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 24, 2], [24, 16, 4], [24, 32, 1], [24, 48, 4], [24, 96, 1]], 'parents': ['8.24.0.e.1', '12.48.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': False, 'psl2index': 96, 'psl2label': '24.96.3.c.1', 'psl2level': 24, 'q_gonality': None, 'q_gonality_bounds': [2, 3], 'qbar_gonality': None, 'qbar_gonality_bounds': [2, 3], 'rank': 0, 'rational_cusps': 8, 'reductions': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0.b.1', '6.24.0.a.1', '8.24.0.e.1', '12.48.1.b.1'], 'scalar_label': '8.2.2', 'simple': False, 'sl2label': '24.96.3.c.1', 'sl2level': 24, 'squarefree': True, 'trace_hash': 1607960946259229751, 'traces': [-2, -1, -2, -4, 4, -2, -2, -4, 0, 6, 12, 6, -2, 4, -24, -2, 4, -2, -4, 32, -2, 12, -4, -26, -2, -18, 4, -12, -2, 6, -12, -4, 30, -12, 14, -52, -2, 12, 40, 6, 12, 6, -16, -10, -18, 36, -20, 20, 12, 22, 38, -16, 22, 20, 38, -40, -10, -28, -26, -10, -28, -18, 12, -40, 22, 6, 20, 14, -12, 30, -10, -64, 28, -10, 20, 48, -2, 14, -66, 14, 12, -10, 56, 14, -60, 20, 46, -66, -26, -44, -36, 24, 44, -12, 12, -48, 6, 110, 4, -18, 44, -26, 28, -50, 36, -82, -44, -26, -16, -34, -44, 38, 38, -44, 60, 30, 12, -16, 6, 12, -10, 62, -2, 4, -4, 6, -10, -72, -36, 14, -4, -40, 28, 38, -98, 22, -18, 28, 22, -34, 4, 30, 12, -28, -50, 16, -10, 78, -12, 16, -18, 54, -4, 104, 4, -80, 76, -50, 118, 6, 12, -66, -60, 36, -34, -56, 44, -26]} -
modcurve_models • Show schema
{'dont_display': False, 'equation': ['x^3*y-x^2*y^2-x^3*z+x^2*y*z-y^3*z+2*x^2*z^2-3*x*y*z^2-y^2*z^2-x*z^3'], 'modcurve': '24.96.3.bq.2', 'model_type': 0, 'number_variables': 3, 'smooth': True, 'upload_id': None} -
modcurve_modelmaps • Show schema
{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['2985984*x^24-71663616*x^23*z+859963392*x^22*z^2-6903595008*x^21*z^3+41690308608*x^20*z^4-201016442880*x^19*z^5+797998252032*x^18*z^6-2637579386880*x^17*z^7+7198870007808*x^16*z^8-15578284621824*x^15*z^9+23254556737536*x^14*z^10-7212656295936*x^13*z^11-88242814402560*x^12*z^12+322678760472576*x^11*z^13-574498257371136*x^10*z^14+92811310202880*x^9*z^15+2865144091078656*x^8*z^16-9501898696261632*x^7*z^17+13348487740391424*x^6*z^18+13120056787304448*x^5*z^19-117189055923904512*x^4*z^20+279949783612686336*x^3*z^21-2985244*x^2*y^22+11942616*x^2*y^21*z-129794548*x^2*y^20*z^2+529068912*x^2*y^19*z^3-2129011524*x^2*y^18*z^4+10735691000*x^2*y^17*z^5-56397913996*x^2*y^16*z^6+229448322880*x^2*y^15*z^7-865319024024*x^2*y^14*z^8+2520040341552*x^2*y^13*z^9-6888217770120*x^2*y^12*z^10+15246542191264*x^2*y^11*z^11-24759988926600*x^2*y^10*z^12-11245298122704*x^2*y^9*z^13-17179015673240*x^2*y^8*z^14-813962654904512*x^2*y^7*z^15-210838776176524*x^2*y^6*z^16+591083306394872*x^2*y^5*z^17-13272851837035332*x^2*y^4*z^18+59698440985998192*x^2*y^3*z^19+274084107447844364*x^2*y^2*z^20-189040787118343464*x^2*y*z^21-288501866003238172*x^2*z^22-12*x*y^23-2977356*x*y^22*z+1236684*x*y^21*z^2+44976860*x*y^20*z^3-1661643236*x*y^19*z^4+6314705244*x*y^18*z^5-10764188956*x*y^17*z^6+17637657108*x*y^16*z^7+24088093384*x*y^15*z^8+153425003848*x*y^14*z^9-225935611208*x*y^13*z^10+2198595804504*x*y^12*z^11-9808733970824*x*y^11*z^12+41584237331960*x*y^10*z^13+26369142990216*x*y^9*z^14+605146542172648*x*y^8*z^15+1659155311203972*x*y^7*z^16+1566837956080196*x*y^6*z^17+13752415963069244*x*y^5*z^18-4587484317202036*x*y^4*z^19-225560272735202772*x*y^3*z^20-358573704266010772*x*y^2*z^21+239295457838731988*x*y*z^22+106150941926791748*x*z^23+y^24-2986012*y^23*z+9162796*y^22*z^2-139336892*y^21*z^3+1030714490*y^20*z^4-6062211460*y^19*z^5+16464115612*y^18*z^6-55663741988*y^17*z^7+182421629159*y^16*z^8-572424004632*y^15*z^9+1437048816088*y^14*z^10-3593590950232*y^13*z^11+6604818317708*y^12*z^12+10407532939384*y^11*z^13+16411308835864*y^10*z^14+230473939888184*y^9*z^15-357591575388385*y^8*z^16-1787625985837580*y^7*z^17-3268835007610116*y^6*z^18-46952419376322604*y^5*z^19-124058986232654054*y^4*z^20+26993573985335116*y^3*z^21+106150941926844236*y^2*z^22+8748*y*z^23+729*z^24', 'z*(2985984*x^12*z^11-71663616*x^11*z^12+859963392*x^10*z^13-6831931392*x^9*z^14+39934550016*x^8*z^15-179517358080*x^7*z^16+623282356224*x^6*z^17-1586489131008*x^5*z^18+2278786535424*x^4*z^19+2622506139648*x^3*z^20-10*x^2*y^21-283*x^2*y^20*z-4262*x^2*y^19*z^2-46147*x^2*y^18*z^3-395698*x^2*y^17*z^4-2724764*x^2*y^16*z^5-14761960*x^2*y^15*z^6-60223628*x^2*y^14*z^7-167243204*x^2*y^13*z^8-190813818*x^2*y^12*z^9+872427548*x^2*y^11*z^10+6303701382*x^2*y^10*z^11+22908441148*x^2*y^9*z^12+57754398580*x^2*y^8*z^13+112598638616*x^2*y^7*z^14+113858817124*x^2*y^6*z^15+118913431118*x^2*y^5*z^16-918091588675*x^2*y^4*z^17-415362322598*x^2*y^3*z^18-7167137956123*x^2*y^2*z^19-12811113529354*x^2*y*z^20-8006665273344*x^2*z^21+11*x*y^22+289*x*y^21*z+4020*x*y^20*z^2+41262*x*y^19*z^3+354237*x*y^18*z^4+2590837*x*y^17*z^5+15677568*x*y^16*z^6+75627976*x*y^15*z^7+278706526*x*y^14*z^8+720121074*x*y^13*z^9+897268744*x*y^12*z^10-2260496204*x*y^11*z^11-18018448502*x*y^10*z^12-64329985214*x*y^9*z^13-161831681248*x*y^8*z^14-301869658488*x*y^7*z^15-410972257753*x*y^6*z^16-146966617043*x*y^5*z^17+814916896932*x*y^4*z^18+3368727434190*x*y^3*z^19+14531350855977*x*y^2*z^20+16966337200137*x*y*z^21+4214202826752*x*z^22-y^23+3*y^22*z+538*y^21*z^2+9951*y^20*z^3+101277*y^19*z^4+668764*y^18*z^5+2775496*y^17*z^6+4017404*y^16*z^7-37797946*y^15*z^8-364052406*y^14*z^9-1847112884*y^13*z^10-6626252350*y^12*z^11-17920607830*y^11*z^12-36167748596*y^10*z^13-48090118104*y^9*z^14+1582436172*y^8*z^15+205271906795*y^7*z^16+925338577227*y^6*z^17+1884812825002*y^5*z^18+5462153036055*y^4*z^19+8537931546633*y^3*z^20+4214202826752*y^2*z^21)'], 'degree': 96, 'domain_label': '24.96.3.bq.2', 'domain_model_type': 0, 'dont_display': False, 'factored': True, 'leading_coefficients': None, 'upload_id': None} -
modcurve_points • Show schema
-
id: 1726386
{'Elabel': None, 'ainvs': None, 'cardinality': 8, 'cm': 0, 'conductor_norm': None, 'coordinates': {'0': ['0:1:0', '1:0:1', '1:-1:1', '1:0:0', '-1:-1:1', '1:1:0', '0:0:1', '0:-1:1']}, 'curve_genus': 3, 'curve_index': 96, 'curve_label': '24.96.3.bq.2', '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} -
id: 1726387
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'0': ['-1,1:-3,2:1,0', '1,1:1,0:1,0']}, 'curve_genus': 3, 'curve_index': 96, 'curve_label': '24.96.3.bq.2', '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': '2.2.8.1', 'upload_id': None}
-
id: 1726386
Modular curve data - 24.192.3-24.bq.2.47