Elliptic curve data - 338.c2

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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': '338a', 'Clabel': '338a1', 'Cnumber': 1, 'abc_quality': 1.2727904629543532, 'absD': 676, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 364, 'ainvs': [1, -1, 0, 1, 1], 'analytic_rank': 1, 'bad_primes': [2, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 338, 'degree': 12, 'elladic_images': ['4.8.0.2', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.77602791476718922898728645884', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 7], 'jinv': [351, 4], 'lmfdb_iso': '338.c', 'lmfdb_label': '338.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 1, 1], 'min_quad_twist_disc': 1, 'modell_images': ['7B'], 'modm_images': ['4.8.0.b.1', '7.8.0.a.1', '28.128.5.b.2', '52.16.0-4.b.1.1', '91.48.0.?', '364.768.21.?'], 'nonmax_primes': [2, 7], 'nonmax_rad': 14, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.16981435127840786675757737391', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [13, 38, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2035194743441120183295343658', 'prec': 103}, 'szpiro_ratio': 2.3902949202349357, '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, -1, 0, 1, 1, 0, -4, -1, -3, -1, -4, 0, 0, 4, 0, 1, 3, 3, 0, 1], 'aplist': [-1, 0, 1, -4, -4, 0, 3, 0, -4, -1, -4, -3, 9, -8, 8, -9, 4, 7, -4, 8, -11, -4, 0, 6, -2], 'class_deg': 7, 'class_size': 2, 'conductor': 338, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '338.c', 'trace_hash': 635576483361394782}
• 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': '4.7211661253302394566365271937', 'prec': 100}, 'conductor': 338, 'gens': [[0, 1, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.16981435127840786675757737391', 'prec': 103}], 'lmfdb_label': '338.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.7619828721782883590708195602', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2776773619188752404163346505057190173', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [0, 1, 6]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [1, 1, 0], '5': [1, 0], '7': [7, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '338.c2'}
• ec_torsion_growth •

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

  
  
  • id: 14615
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '338.c2', 'torsion': [2]}
  • id: 14619
    {'degree': 6, 'field': [-1, -3, 6, 4, -5, -1, 1], 'lmfdb_label': '338.c2', 'torsion': [7]}
  • id: 14618
    {'degree': 6, 'field': [1, 8, 18, 6, 6, -2, 1], 'lmfdb_label': '338.c2', 'torsion': [4]}
  • id: 14616
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '338.c2', 'torsion': [2, 2]}
  • id: 14617
    {'degree': 6, 'field': [12, -16, 6, 4, -5, -1, 1], 'lmfdb_label': '338.c2', 'torsion': [4]}
  • id: 14620
    {'degree': 8, 'field': [-12, 3, -30, 15, -3, -3, 3, 0, 1], 'lmfdb_label': '338.c2', 'torsion': [3]}
  • id: 14621
    {'degree': 12, 'field': [324, -432, 288, -84, 13, -2, 2, 16, -13, 4, 2, -2, 1], 'lmfdb_label': '338.c2', 'torsion': [4, 4]}
  • id: 14622
    {'degree': 18, 'field': [-1, 6, -3, 8, -39, 35, -12, 34, -59, 54, -33, 13, -14, 16, -5, -6, 9, -5, 1], 'lmfdb_label': '338.c2', 'torsion': [28]}
• 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: 3284
    {'conductor': 338, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '338.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3285
    {'conductor': 338, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '338.c2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1667211
    {'adelic_gens': [[57, 77, 329, 106], [19, 28, 280, 59], [1, 0, 196, 1], [15, 7, 336, 169], [1, 28, 0, 157], [1, 208, 336, 1], [169, 168, 196, 169], [197, 0, 0, 85]], 'adelic_image': '364.768.21.?', 'conductor': 338, 'lmfdb_label': '338.c2', 'prime': 0}
  • id: 1426
    {'conductor': 338, 'elladic_image': '4.8.0.2', 'lmfdb_label': '338.c2', 'modell_image': '2G', 'prime': 2}
  • id: 1427
    {'conductor': 338, 'elladic_image': '7.8.0.1', 'lmfdb_label': '338.c2', 'modell_image': '7B', 'prime': 7}
• ec_padic •

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

  
  
  • id: 3926
    {'lmfdb_iso': '338.c', 'p': 5, 'prec': 20, 'unit': 44575501422467, 'val': -1}
  • id: 3927
    {'lmfdb_iso': '338.c', 'p': 7, 'prec': 20, 'unit': 303762338175979, 'val': 2}
  • id: 3925
    {'lmfdb_iso': '338.c', 'p': 11, 'prec': 20, 'unit': 43077082436100065789, 'val': 1}
  • id: 3933
    {'lmfdb_iso': '338.c', 'p': 17, 'prec': 20, 'unit': 15380539817754952342280, 'val': 1}
  • id: 3938
    {'lmfdb_iso': '338.c', 'p': 23, 'prec': 20, 'unit': 41770895812161614651196174, 'val': 1}
  • id: 3931
    {'lmfdb_iso': '338.c', 'p': 29, 'prec': 20, 'unit': 140712532792187953916198032, 'val': 1}
  • id: 3928
    {'lmfdb_iso': '338.c', 'p': 31, 'prec': 20, 'unit': 15176393611093636702425444600, 'val': 1}
  • id: 3943
    {'lmfdb_iso': '338.c', 'p': 37, 'prec': 20, 'unit': 335087125452859487686614133183, 'val': 1}
  • id: 3929
    {'lmfdb_iso': '338.c', 'p': 41, 'prec': 20, 'unit': 2669499352942790500152941435395, 'val': 1}
  • id: 3930
    {'lmfdb_iso': '338.c', 'p': 43, 'prec': 20, 'unit': 142359653664380546432216658985, 'val': 1}
  • id: 3941
    {'lmfdb_iso': '338.c', 'p': 47, 'prec': 20, 'unit': 10854209012465850293124210500480, 'val': 1}
  • id: 3935
    {'lmfdb_iso': '338.c', 'p': 53, 'prec': 20, 'unit': 248548490633088898901123442576257, 'val': 1}
  • id: 3936
    {'lmfdb_iso': '338.c', 'p': 59, 'prec': 20, 'unit': 4105029374592381477042174005491937, 'val': 1}
  • id: 3942
    {'lmfdb_iso': '338.c', 'p': 61, 'prec': 20, 'unit': 6920135862013323175851815099725975, 'val': 1}
  • id: 3934
    {'lmfdb_iso': '338.c', 'p': 67, 'prec': 20, 'unit': 15945273664029672615057688338895942, 'val': 1}
  • id: 3940
    {'lmfdb_iso': '338.c', 'p': 71, 'prec': 20, 'unit': 3298228951427051288380260542471352, 'val': 1}
  • id: 3937
    {'lmfdb_iso': '338.c', 'p': 73, 'prec': 20, 'unit': 169151208127890749765129481656202589, 'val': 1}
  • id: 3932
    {'lmfdb_iso': '338.c', 'p': 79, 'prec': 20, 'unit': 1100364973098702864030556824591620591, 'val': 1}
  • id: 3939
    {'lmfdb_iso': '338.c', 'p': 89, 'prec': 20, 'unit': 3358151852671159710403366292836477783, 'val': 1}
  • id: 3924
    {'lmfdb_iso': '338.c', 'p': 97, 'prec': 20, 'unit': 36924104809661449072564750499229485220, 'val': 1}