Elliptic curve isogeny class data - 29120.l

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• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -2, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 2, 0], 'aplist': [0, -2, 1, -1, 0, -1, 0, 2, -6, -6, 4, -2, 0, 8, 0, -12, 6, 10, -4, -6, 2, -8, 12, 0, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 29120, 'isogeny_matrix': [[1, 2, 3, 9, 6, 18], [2, 1, 6, 18, 3, 9], [3, 6, 1, 3, 2, 6], [9, 18, 3, 1, 6, 2], [6, 3, 2, 6, 1, 3], [18, 9, 6, 2, 3, 1]], 'lmfdb_iso': '29120.l', 'trace_hash': 732791681507684611}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1405466
    {'lmfdb_iso': '29120.l', 'p': 19, 'prec': 20, 'unit': 675472726575450186614624, 'val': 1}
  • id: 1405477
    {'lmfdb_iso': '29120.l', 'p': 23, 'prec': 20, 'unit': 27961136704065627969259456, 'val': 1}
  • id: 1405473
    {'lmfdb_iso': '29120.l', 'p': 29, 'prec': 20, 'unit': 2887710941047734645703536067, 'val': 1}
  • id: 1405480
    {'lmfdb_iso': '29120.l', 'p': 31, 'prec': 20, 'unit': 3918557505967232711697418939, 'val': 1}
  • id: 1405469
    {'lmfdb_iso': '29120.l', 'p': 37, 'prec': 20, 'unit': 364991093329610850552295776762, 'val': 1}
  • id: 1405472
    {'lmfdb_iso': '29120.l', 'p': 43, 'prec': 20, 'unit': 5548684500077991291969581114318, 'val': 1}
  • id: 1405476
    {'lmfdb_iso': '29120.l', 'p': 53, 'prec': 20, 'unit': 429156788124707829680176941470706, 'val': 1}
  • id: 1405478
    {'lmfdb_iso': '29120.l', 'p': 59, 'prec': 20, 'unit': 4263543457626355062120323893608679, 'val': 1}
  • id: 1405479
    {'lmfdb_iso': '29120.l', 'p': 61, 'prec': 20, 'unit': 5944902900770048455572027391214300, 'val': 1}
  • id: 1405468
    {'lmfdb_iso': '29120.l', 'p': 67, 'prec': 20, 'unit': 27319369640195852749330234462294703, 'val': 1}
  • id: 1405470
    {'lmfdb_iso': '29120.l', 'p': 71, 'prec': 20, 'unit': 130873456865537943034695858901390871, 'val': 1}
  • id: 1405471
    {'lmfdb_iso': '29120.l', 'p': 73, 'prec': 20, 'unit': 133156486925736251741053039354299935, 'val': 1}
  • id: 1405474
    {'lmfdb_iso': '29120.l', 'p': 79, 'prec': 20, 'unit': 846518888286315061531387005357223044, 'val': 1}
  • id: 1405475
    {'lmfdb_iso': '29120.l', 'p': 83, 'prec': 20, 'unit': 2379300466191462675533660022490699514, 'val': 1}
  • id: 1405467
    {'lmfdb_iso': '29120.l', 'p': 97, 'prec': 20, 'unit': 25775512879952776606118709721425130007, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 193943
    {'Ciso': '29120cd', 'Clabel': '29120cd6', 'Cnumber': 6, 'abc_quality': 1.0121384237365028, 'absD': 2366000000000000000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [0, 1, 0, -33858945, 75785596543], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 29120, 'degree': 1990656, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0492665103241966520199507496', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [16375858190544687071329, 9025573730468750], 'lmfdb_iso': '29120.l', 'lmfdb_label': '29120.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -529046, -148084874], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.14', '42.24.0-6.a.1.1', '56.6.0.a.1', '72.72.0.?', '126.72.0.?', '168.48.0.?', '260.6.0.?', '504.144.1.?', '780.24.0.?', '819.36.0.?', '1560.48.0.?', '1638.216.2.?', '2340.72.1.?', '3640.12.0.?', '4680.144.1.?', '5460.48.0.?', '6552.432.7.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3378512134647342538026380943', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 2, 5824], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0095457394842786878941025674', 'prec': 100}, 'szpiro_ratio': 6.189865464215017, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193942
    {'Ciso': '29120cd', 'Clabel': '29120cd5', 'Cnumber': 5, 'abc_quality': 1.0121276523788763, 'absD': 1304576000000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [0, 1, 0, -33854465, 75806667775], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 29120, 'degree': 995328, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7026929200442239973113346889', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [16369358802802724130049, 4976562500], 'lmfdb_iso': '29120.l', 'lmfdb_label': '29120.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -528976, -148126020], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.14', '56.6.0.d.1', '72.72.0.?', '84.24.0.?', '130.6.0.?', '168.48.0.?', '252.72.0.?', '390.24.0.?', '504.144.1.?', '819.36.0.?', '1170.72.1.?', '1560.48.0.?', '1638.108.2.?', '3276.216.2.?', '3640.12.0.?', '4680.144.1.?', '5460.48.0.?', '6552.432.7.?', '8190.216.7.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66892560673236712690131904714', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 65], [3, 2, 5824], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6629721492043060331854865067', 'prec': 100}, 'szpiro_ratio': 6.189826845654357, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193941
    {'Ciso': '29120cd', 'Clabel': '29120cd4', 'Cnumber': 4, 'abc_quality': 0.9816338064509004, 'absD': 54250552918016000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [0, 1, 0, -1302785, -449876225], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 29120, 'degree': 663552, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4999603659901418063223281312', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [932829715460155969, 206949435875000], 'lmfdb_iso': '29120.l', 'lmfdb_label': '29120.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -20356, 876120], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '24.72.0-6.a.1.2', '42.72.0-6.a.1.2', '56.6.0.a.1', '168.144.1.?', '260.6.0.?', '780.72.1.?', '819.36.0.?', '1560.144.1.?', '1638.216.2.?', '3640.12.0.?', '5460.144.1.?', '6552.432.7.?', '10920.288.5.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0135536403942027614079142829', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 2, 64], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4602395951502238421964799490', 'prec': 100}, 'szpiro_ratio': 5.2390993916460085, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193939
    {'Ciso': '29120cd', 'Clabel': '29120cd2', 'Cnumber': 2, 'abc_quality': 0.9752031162957147, 'absD': 3969489305600, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [0, 1, 0, -1223425, -521259777], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 29120, 'degree': 221184, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9506542216560869606247055127', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [772531501373731009, 15142400], 'lmfdb_iso': '29120.l', 'lmfdb_label': '29120.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -19116, 1015696], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.6', '42.24.0-6.a.1.2', '56.6.0.a.1', '72.72.0.?', '126.72.0.?', '168.48.0.?', '260.6.0.?', '504.144.1.?', '780.24.0.?', '819.36.0.?', '1560.48.0.?', '1638.216.2.?', '2340.72.1.?', '3640.12.0.?', '4680.144.1.?', '5460.48.0.?', '6552.432.7.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.040660921182608284223742849', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91093345081616899649885733051', 'prec': 103}, 'szpiro_ratio': 5.220756500904358, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193940
    {'Ciso': '29120cd', 'Clabel': '29120cd3', 'Cnumber': 3, 'abc_quality': 0.9616074509807393, 'absD': 542061054918656000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [0, 1, 0, -424705, 100328703], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 29120, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1533867757101691516137120704', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [32318182904349889, 2067798824000], 'lmfdb_iso': '29120.l', 'lmfdb_label': '29120.l5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6636, -196784], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '24.72.0-6.a.1.2', '56.6.0.d.1', '84.72.0.?', '130.6.0.?', '168.144.1.?', '390.72.1.?', '819.36.0.?', '1560.144.1.?', '1638.108.2.?', '3276.216.2.?', '3640.12.0.?', '5460.144.1.?', '6552.432.7.?', '8190.216.7.?', '10920.288.5.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0067768201971013807039571414', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 65], [3, 2, 64], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1136660048702511874878638882', 'prec': 100}, 'szpiro_ratio': 4.9119728604525905, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193938
    {'Ciso': '29120cd', 'Clabel': '29120cd1', 'Cnumber': 1, 'abc_quality': 0.931188760669257, 'absD': 218871533404160, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [0, 1, 0, -76545, -8145665], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 29120, 'degree': 110592, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6040806313761143059160894520', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [189208196468929, 834928640], 'lmfdb_iso': '29120.l', 'lmfdb_label': '29120.l6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, 15760], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.6', '56.6.0.d.1', '72.72.0.?', '84.24.0.?', '130.6.0.?', '168.48.0.?', '252.72.0.?', '390.24.0.?', '504.144.1.?', '819.36.0.?', '1170.72.1.?', '1560.48.0.?', '1638.108.2.?', '3276.216.2.?', '3640.12.0.?', '4680.144.1.?', '5460.48.0.?', '6552.432.7.?', '8190.216.7.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0203304605913041421118714243', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 65], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56435986053619634179024126981', 'prec': 103}, 'szpiro_ratio': 4.411880726601715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}