Elliptic curve data - 6664.c1

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• 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[]

  
  {'Ciso': '6664b', 'Clabel': '6664b1', 'Cnumber': 1, 'abc_quality': 0.965538844348708, 'absD': 24158439424, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 136, 'ainvs': [0, 0, 0, -5243, -146314], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6664, 'degree': 5472, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89245849620036406216221607678', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-3241463778, 4913], 'lmfdb_iso': '6664.c', 'lmfdb_label': '6664.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5243, -146314], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['136.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3343009042906766947626514810', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 833], [3, 2, 392], [7, 20, 136], [17, 18, 392]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39156313566469023983869761570', 'prec': 107}, 'szpiro_ratio': 4.237636578098322, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, -1, 0, 0, 0, -3, 0, 2, 0, -4, 0, 0, 0, 1, 0, 5, 0], 'aplist': [0, 0, -1, 0, 2, -4, 1, 5, 9, -6, 8, -11, -4, -1, -2, 6, 9, 6, -7, 1, 4, -8, -4, -15, 0], 'class_deg': 1, 'class_size': 1, 'conductor': 6664, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6664.c', 'trace_hash': 1749636639202873146}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.16781099000948319959762548787', 'prec': 103}, 'conductor': 6664, 'gens': [[337, 799, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3343009042906766947626514810', 'prec': 100}], 'lmfdb_label': '6664.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28050146737984813408697399736', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6473332911580125551097977062131534095', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 3, 0], '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6664.c1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 348462
    {'degree': 3, 'field': [-14, 7, 0, 1], 'lmfdb_label': '6664.c1', 'torsion': [2]}
  • id: 348463
    {'degree': 6, 'field': [34, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '6664.c1', 'torsion': [2, 2]}
  • id: 348464
    {'degree': 8, 'field': [1, -4, 4, 2, -8, 2, 4, -4, 1], 'lmfdb_label': '6664.c1', 'torsion': [3]}
  • id: 348465
    {'degree': 12, 'field': [-5832, -7128, 10044, -33912, 1746, 3182, 1323, -620, 7, -22, -1, 0, 1], 'lmfdb_label': '6664.c1', 'torsion': [4]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 135033
    {'conductor': 6664, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '6664.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 135034
    {'conductor': 6664, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '6664.c1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 135035
    {'conductor': 6664, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6664.c1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[135, 2, 134, 3], [103, 2, 103, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 135, 0], [105, 2, 105, 3], [69, 2, 69, 3]], 'adelic_image': '136.2.0.?', 'conductor': 6664, 'lmfdb_label': '6664.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 265505
    {'lmfdb_iso': '6664.c', 'p': 5, 'prec': 20, 'unit': 2007784804821, 'val': 2}
  • id: 265504
    {'lmfdb_iso': '6664.c', 'p': 11, 'prec': 20, 'unit': 19539376232101640109, 'val': 1}
  • id: 265511
    {'lmfdb_iso': '6664.c', 'p': 13, 'prec': 20, 'unit': 88513026385296628153, 'val': 1}
  • id: 265514
    {'lmfdb_iso': '6664.c', 'p': 19, 'prec': 20, 'unit': 184180252927822449886595, 'val': 1}
  • id: 265517
    {'lmfdb_iso': '6664.c', 'p': 23, 'prec': 20, 'unit': 68250177660728316362541661, 'val': 1}
  • id: 265510
    {'lmfdb_iso': '6664.c', 'p': 29, 'prec': 20, 'unit': 163274280742212348596571605, 'val': 1}
  • id: 265507
    {'lmfdb_iso': '6664.c', 'p': 31, 'prec': 20, 'unit': 11736744074362188112295295475, 'val': 1}
  • id: 265522
    {'lmfdb_iso': '6664.c', 'p': 37, 'prec': 20, 'unit': 6453967608870944184405882615, 'val': 2}
  • id: 265508
    {'lmfdb_iso': '6664.c', 'p': 41, 'prec': 20, 'unit': 3402252075544357496451196311523, 'val': 1}
  • id: 265509
    {'lmfdb_iso': '6664.c', 'p': 43, 'prec': 20, 'unit': 8492256254887078311099704366512, 'val': 1}
  • id: 265519
    {'lmfdb_iso': '6664.c', 'p': 47, 'prec': 20, 'unit': 46823662053128382847264181599116, 'val': 1}
  • id: 265515
    {'lmfdb_iso': '6664.c', 'p': 53, 'prec': 20, 'unit': 59746641414775403393805417969797, 'val': 1}
  • id: 265513
    {'lmfdb_iso': '6664.c', 'p': 59, 'prec': 20, 'unit': 3115286215343735850371395421140469, 'val': 1}
  • id: 265520
    {'lmfdb_iso': '6664.c', 'p': 61, 'prec': 20, 'unit': 4685293822034896695183270759225722, 'val': 1}
  • id: 265503
    {'lmfdb_iso': '6664.c', 'p': 67, 'prec': 20, 'unit': 15228162333906098620744295820197642, 'val': 1}
  • id: 265506
    {'lmfdb_iso': '6664.c', 'p': 71, 'prec': 20, 'unit': 10006656826611938466317939048694208387, 'val': -1}
  • id: 265516
    {'lmfdb_iso': '6664.c', 'p': 73, 'prec': 20, 'unit': 235415293351665543127148220361124017, 'val': 1}
  • id: 265512
    {'lmfdb_iso': '6664.c', 'p': 79, 'prec': 20, 'unit': 810609851154917577753113452038745419, 'val': 1}
  • id: 265521
    {'lmfdb_iso': '6664.c', 'p': 83, 'prec': 20, 'unit': 2899680635861830971161516065915477074, 'val': 1}
  • id: 265518
    {'lmfdb_iso': '6664.c', 'p': 89, 'prec': 20, 'unit': 4044302542145642824432029314199614460, 'val': 1}