Elliptic curve data - 16880.r1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '16880p', 'Clabel': '16880p1', 'Cnumber': 1, 'abc_quality': 1.024267735836855, 'absD': 1106247680000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 29540, 'ainvs': [0, 0, 0, -166747, -26256886], 'analytic_rank': 1, 'bad_primes': [2, 5, 211], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 16880, 'degree': 134400, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7707258755154589809625395360', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 7], 'jinv': [-125180837135497521, 270080000000], 'lmfdb_iso': '16880.r', 'lmfdb_label': '16880.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -10422, 412869], 'min_quad_twist_disc': -4, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '28.48.0-7.a.1.1', '2110.2.0.?', '14770.48.2.?', '29540.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5728161067068704062913154884', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1055], [5, 6, 3376], [7, 2, 3376], [211, 212, 80]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0775786949555136715453074145', 'prec': 100}, 'szpiro_ratio': 4.8993823479886265, '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, 3, 0, 1, 0, -1, 0, 6, 0, -5, 0, 0, 0, 3, 0, -3, 0, 1, 0], 'aplist': [0, 3, 1, -1, -5, 0, -3, 1, -3, 2, -4, -4, 0, -2, 8, -2, 3, 6, -12, -16, 4, -3, 0, 6, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 16880, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '16880.r', 'trace_hash': 574774940525204917}
• 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': '0.028971237513874481237402190221', 'prec': 107}, 'conductor': 16880, 'gens': [[7237, 512000, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5728161067068704062913154884', 'prec': 100}], 'lmfdb_label': '16880.r1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11811332852783968856880101641', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5087484734892090265004122538557364637', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 9, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0], '211': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '16880.r1'}
• ec_torsion_growth •

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

  
  
  • id: 865677
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '16880.r1', 'torsion': [7]}
  • id: 865678
    {'degree': 3, 'field': [16, -6, -1, 1], 'lmfdb_label': '16880.r1', 'torsion': [2]}
  • id: 865680
    {'degree': 6, 'field': [256, 0, 68, 0, 13, 0, 1], 'lmfdb_label': '16880.r1', 'torsion': [14]}
  • id: 865679
    {'degree': 6, 'field': [536, 478, 233, 36, -2, -2, 1], 'lmfdb_label': '16880.r1', 'torsion': [2, 2]}
  • id: 865681
    {'degree': 8, 'field': [-9408, 0, -3312, 0, -336, 0, 0, 0, 1], 'lmfdb_label': '16880.r1', 'torsion': [3]}
  • id: 865683
    {'degree': 12, 'field': [287296, 0, -21292, 0, 17729, 0, -756, 0, 614, 0, 8, 0, 1], 'lmfdb_label': '16880.r1', 'torsion': [2, 14]}
  • id: 865682
    {'degree': 12, 'field': [1835312, 429828, -860254, -971472, -338368, 43058, 62517, 12188, -553, -242, -15, 0, 1], 'lmfdb_label': '16880.r1', 'torsion': [4]}
  • id: 865684
    {'degree': 16, 'field': [345744, 0, 0, 0, 72612, 0, 0, 0, 5880, 0, 0, 0, 168, 0, 0, 0, 1], 'lmfdb_label': '16880.r1', 'torsion': [21]}
• 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: 376271
    {'conductor': 16880, 'conductor_valuation': 4, 'discriminant_valuation': 26, 'j_denominator_valuation': 14, 'kodaira_symbol': -22, 'lmfdb_label': '16880.r1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 376272
    {'conductor': 16880, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '16880.r1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 376273
    {'conductor': 16880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16880.r1', 'prime': 211, 'reduction_type': -1, '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: 1776513
    {'adelic_gens': [[29527, 14, 29526, 15], [29539, 29526, 0, 23209], [8, 5, 91, 57], [1, 14, 0, 1], [14783, 29526, 14784, 29525], [1, 0, 14, 1], [11817, 14, 8869, 99], [14561, 14, 13307, 99], [14769, 0, 0, 29539]], 'adelic_image': '29540.96.2.?', 'conductor': 16880, 'lmfdb_label': '16880.r1', 'prime': 0}
  • id: 79303
    {'conductor': 16880, 'elladic_image': '7.24.0.1', 'lmfdb_label': '16880.r1', 'modell_image': '7B.6.1', 'prime': 7}
• ec_padic •

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

  
  
  • id: 768496
    {'lmfdb_iso': '16880.r', 'p': 7, 'prec': 20, 'unit': 27288184979180386, 'val': 0}
  • id: 768501
    {'lmfdb_iso': '16880.r', 'p': 11, 'prec': 20, 'unit': 8317696089014316707, 'val': 1}
  • id: 768502
    {'lmfdb_iso': '16880.r', 'p': 17, 'prec': 20, 'unit': 112052851135860773205035, 'val': 1}
  • id: 768503
    {'lmfdb_iso': '16880.r', 'p': 19, 'prec': 20, 'unit': 21149792086457692609854964, 'val': -1}
  • id: 768506
    {'lmfdb_iso': '16880.r', 'p': 23, 'prec': 20, 'unit': 21887335086080384499420607, 'val': 1}
  • id: 768499
    {'lmfdb_iso': '16880.r', 'p': 29, 'prec': 20, 'unit': 2742799404026842809825405243, 'val': 1}
  • id: 768511
    {'lmfdb_iso': '16880.r', 'p': 31, 'prec': 20, 'unit': 16263729104378102693265579726, 'val': 1}
  • id: 768495
    {'lmfdb_iso': '16880.r', 'p': 37, 'prec': 20, 'unit': 415148916432026357456883800579, 'val': 1}
  • id: 768498
    {'lmfdb_iso': '16880.r', 'p': 43, 'prec': 20, 'unit': 8722033443961552062233906871435, 'val': 1}
  • id: 768509
    {'lmfdb_iso': '16880.r', 'p': 47, 'prec': 20, 'unit': 43954972114321367944037278772596, 'val': 1}
  • id: 768504
    {'lmfdb_iso': '16880.r', 'p': 53, 'prec': 20, 'unit': 220286376799022328706382296693109, 'val': 1}
  • id: 768505
    {'lmfdb_iso': '16880.r', 'p': 59, 'prec': 20, 'unit': 2983199077823156292493951005546554, 'val': 1}
  • id: 768510
    {'lmfdb_iso': '16880.r', 'p': 61, 'prec': 20, 'unit': 1797481045991416650349739216400589, 'val': 1}
  • id: 768494
    {'lmfdb_iso': '16880.r', 'p': 67, 'prec': 20, 'unit': 24950020518302537962053244431504888, 'val': 1}
  • id: 768508
    {'lmfdb_iso': '16880.r', 'p': 71, 'prec': 20, 'unit': 87715589930763011323248605344847612, 'val': 1}
  • id: 768497
    {'lmfdb_iso': '16880.r', 'p': 73, 'prec': 20, 'unit': 66605447479357278375082181005275450, 'val': 1}
  • id: 768500
    {'lmfdb_iso': '16880.r', 'p': 79, 'prec': 20, 'unit': 204802935741363135726733271792945256, 'val': 1}
  • id: 768507
    {'lmfdb_iso': '16880.r', 'p': 89, 'prec': 20, 'unit': 10125536248693420864429112207122349661, 'val': 1}
  • id: 768493
    {'lmfdb_iso': '16880.r', 'p': 97, 'prec': 20, 'unit': 22592864578784281847419616347815366394, 'val': 1}