Elliptic curve isogeny class data - 19110.ce

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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, 1, -1, 1, 1, -1, 0, 1, 1, 1, 0, -1, 1, 0, -1, 1, -2, 1, -4, 1], 'aplist': [1, -1, 1, 0, 0, 1, -2, -4, -8, 10, -4, 10, -6, 0, 4, -2, -4, -10, -8, -8, 10, 0, -12, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 19110, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '19110.ce', 'trace_hash': 1973051032127398149}
• ec_padic •

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

  
  
  • id: 883823
    {'lmfdb_iso': '19110.ce', 'p': 17, 'prec': 20, 'unit': 43119283374280415554400, 'val': 1}
  • id: 883814
    {'lmfdb_iso': '19110.ce', 'p': 19, 'prec': 20, 'unit': 1590076537937193511481068, 'val': 1}
  • id: 883820
    {'lmfdb_iso': '19110.ce', 'p': 23, 'prec': 20, 'unit': 48565493216065477239112858, 'val': 1}
  • id: 883821
    {'lmfdb_iso': '19110.ce', 'p': 29, 'prec': 20, 'unit': 5997130344049740235500216978, 'val': 1}
  • id: 883830
    {'lmfdb_iso': '19110.ce', 'p': 31, 'prec': 20, 'unit': 11704043716796435329101564122, 'val': 1}
  • id: 883817
    {'lmfdb_iso': '19110.ce', 'p': 37, 'prec': 20, 'unit': 357680865763468762405918772815, 'val': 1}
  • id: 883819
    {'lmfdb_iso': '19110.ce', 'p': 41, 'prec': 20, 'unit': 1208526877958903924176075239410, 'val': 1}
  • id: 883822
    {'lmfdb_iso': '19110.ce', 'p': 47, 'prec': 20, 'unit': 26769665604580924214818984142917, 'val': 1}
  • id: 883825
    {'lmfdb_iso': '19110.ce', 'p': 53, 'prec': 20, 'unit': 426289975753910936996008677425268, 'val': 1}
  • id: 883828
    {'lmfdb_iso': '19110.ce', 'p': 59, 'prec': 20, 'unit': 4178807624300594457201024444115338, 'val': 1}
  • id: 883829
    {'lmfdb_iso': '19110.ce', 'p': 61, 'prec': 20, 'unit': 2034197468385583479180888935693689, 'val': 1}
  • id: 883816
    {'lmfdb_iso': '19110.ce', 'p': 67, 'prec': 20, 'unit': 2514719956874638334034355525931374, 'val': 1}
  • id: 883818
    {'lmfdb_iso': '19110.ce', 'p': 71, 'prec': 20, 'unit': 15806752280089292352036309255143097, 'val': 1}
  • id: 883826
    {'lmfdb_iso': '19110.ce', 'p': 73, 'prec': 20, 'unit': 66689373676949897967813454094979163, 'val': 1}
  • id: 883824
    {'lmfdb_iso': '19110.ce', 'p': 83, 'prec': 20, 'unit': 816861983050927554575918364557938610, 'val': 1}
  • id: 883827
    {'lmfdb_iso': '19110.ce', 'p': 89, 'prec': 20, 'unit': 1270461087112948939079086147833357440, 'val': 1}
  • id: 883815
    {'lmfdb_iso': '19110.ce', 'p': 97, 'prec': 20, 'unit': 11058735849704590049500240691060111653, '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: 126611
    {'Ciso': '19110cd', 'Clabel': '19110cd3', 'Cnumber': 3, 'abc_quality': 1.0492593576333011, 'absD': 559929684631361605470, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 1, 1, -2063685, 76035357], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19110, 'degree': 983040, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6707651775786560590923704598', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2, 4], 'jinv': [8261629364934163009, 4759323790524030], 'lmfdb_iso': '19110.ce', 'lmfdb_label': '19110.ce1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -42116, -227694], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '56.24.0-56.bb.1.13', '120.24.0.?', '420.12.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2609692437675850846763433024', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 735], [3, 4, 6370], [5, 6, 1274], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6978101030509994065396940881', 'prec': 100}, 'szpiro_ratio': 5.60294168030386, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 126610
    {'Ciso': '19110cd', 'Clabel': '19110cd2', 'Cnumber': 2, 'abc_quality': 0.9810840745394546, 'absD': 972232817588568900, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 1, 1, -1468335, 682577937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19110, 'degree': 491520, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3241915872986834043837543990', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2], 'jinv': [2975849362756797409, 8263842596100], 'lmfdb_iso': '19110.ce', 'lmfdb_label': '19110.ce2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -29966, -1994304], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '56.24.0-56.a.1.4', '120.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1304846218837925423381716512', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 4, 6370], [5, 6, 1274], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3512365127710267518310780273', 'prec': 100}, 'szpiro_ratio': 5.499361264020893, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 126609
    {'Ciso': '19110cd', 'Clabel': '19110cd1', 'Cnumber': 1, 'abc_quality': 0.9810212262699565, 'absD': 2705635230480, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 1, 1, -1467355, 683537945], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19110, 'degree': 245760, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9776179970187107496751383383', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2, 4], 'jinv': [2969894891179808929, 22997520], 'lmfdb_iso': '19110.ce', 'lmfdb_label': '19110.ce3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -29946, -1997100], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '56.24.0-56.bb.1.2', '120.24.0.?', '210.6.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2609692437675850846763433024', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 735], [3, 4, 6370], [5, 6, 1274], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0046629224910540971224619666', 'prec': 100}, 'szpiro_ratio': 5.499158084570633, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 126612
    {'Ciso': '19110cd', 'Clabel': '19110cd4', 'Cnumber': 4, 'abc_quality': 1.0060688251020222, 'absD': 606607942157516958750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 1, 1, -888665, 1227699605], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19110, 'degree': 983040, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6707651775786560590923704598', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2, 4], 'jinv': [-659704930833045889, 5156082432978750], 'lmfdb_iso': '19110.ce', 'lmfdb_label': '19110.ce4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -18136, -3581890], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '56.24.0-56.v.1.1', '120.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2609692437675850846763433024', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 4, 6370], [5, 6, 1274], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6978101030509994065396940881', 'prec': 100}, 'szpiro_ratio': 5.617848433993257, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}