Elliptic curve data - 67280.e1

Formats: - HTML - YAML - JSON - 2024-05-15T02:21:34.839700

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '67280h', 'Clabel': '67280h1', 'Cnumber': 1, 'abc_quality': 1.0537446216250768, 'absD': 1076480000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, 1, 0, -280, -972], 'analytic_rank': 2, 'bad_primes': [2, 5, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 67280, 'degree': 26880, 'elladic_images': ['8.2.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42881314399208060196503252890', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [1414562, 625], 'lmfdb_iso': '67280.e', 'lmfdb_label': '67280.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -280, 972], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['8.2.0.b.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 20, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.35032564730957550523285009797', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76778774318561493619797558783', 'prec': 107}, 'szpiro_ratio': 2.5656670392625283, '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, -2, 0, 1, 0, -3, 0, 1, 0, -4, 0, -2, 0, -2, 0, 3, 0, -2, 0], 'aplist': [0, -2, 1, -3, -4, -2, 3, -2, -1, 0, -7, -10, -2, 2, 7, 2, 4, 4, -14, 1, -3, -1, -4, 5, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 67280, 'isogeny_matrix': [[1]], 'lmfdb_iso': '67280.e', 'trace_hash': 374068690064403285}
• 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': '0.42416774033625597066630821919', 'prec': 103}, 'conductor': 67280, 'gens': [[-14, 20, 1], [26, 100, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.53497713078224536951947543674', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.72848646611679913719286959822', 'prec': 103}], 'lmfdb_label': '67280.e1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.2153426380911446150654037148', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8122511422753182953831117802768083207', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-14, -9, -4, 18, 26, 28, 76, 122, 151, 11826]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [3, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': 'a', '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '67280.e1'}
• ec_torsion_growth •

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

  
  
  • id: 3205591
    {'degree': 3, 'field': [15, -19, -1, 1], 'lmfdb_label': '67280.e1', 'torsion': [2]}
  • id: 3205592
    {'degree': 6, 'field': [-2, 0, 85, 0, -20, 0, 1], 'lmfdb_label': '67280.e1', 'torsion': [2, 2]}
  • id: 3205593
    {'degree': 8, 'field': [54, -156, 366, -376, 184, -142, -8, -4, 1], 'lmfdb_label': '67280.e1', 'torsion': [3]}
  • id: 3205594
    {'degree': 12, 'field': [6260, -10868, -3664, 29420, -40552, 30332, -14712, 5228, -1407, 235, -8, -5, 1], 'lmfdb_label': '67280.e1', '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: 1627598
    {'conductor': 67280, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '67280.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1627599
    {'conductor': 67280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '67280.e1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1627600
    {'conductor': 67280, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '67280.e1', 'prime': 29, '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: 2109393
    {'adelic_gens': [[7, 2, 0, 1], [1, 0, 2, 1], [1, 1, 7, 0], [1, 2, 0, 1], [5, 2, 5, 3], [7, 2, 6, 3]], 'adelic_image': '8.2.0.?', 'conductor': 67280, 'lmfdb_label': '67280.e1', 'prime': 0}
  • id: 281358
    {'conductor': 67280, 'elladic_image': '8.2.0.2', 'lmfdb_label': '67280.e1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3438974
    {'lmfdb_iso': '67280.e', 'p': 7, 'prec': 20, 'unit': 810104585157775, 'val': 2}
  • id: 3438979
    {'lmfdb_iso': '67280.e', 'p': 11, 'prec': 20, 'unit': 51503774068964675534, 'val': 2}
  • id: 3438977
    {'lmfdb_iso': '67280.e', 'p': 13, 'prec': 20, 'unit': 205777464325148048951, 'val': 2}
  • id: 3438980
    {'lmfdb_iso': '67280.e', 'p': 17, 'prec': 20, 'unit': 110482048919717356881263, 'val': 2}
  • id: 3438981
    {'lmfdb_iso': '67280.e', 'p': 19, 'prec': 20, 'unit': 463943934701392611818208, 'val': 2}
  • id: 3438985
    {'lmfdb_iso': '67280.e', 'p': 23, 'prec': 20, 'unit': 45641533942929446118220394, 'val': 2}
  • id: 3438990
    {'lmfdb_iso': '67280.e', 'p': 31, 'prec': 20, 'unit': 13496163303686302182911631308, 'val': 2}
  • id: 3438973
    {'lmfdb_iso': '67280.e', 'p': 37, 'prec': 20, 'unit': 302068035001266679068333841001, 'val': 2}
  • id: 3438975
    {'lmfdb_iso': '67280.e', 'p': 41, 'prec': 20, 'unit': 2336164812839354143555058162655, 'val': 2}
  • id: 3438976
    {'lmfdb_iso': '67280.e', 'p': 43, 'prec': 20, 'unit': 10209896108039816953955499795454, 'val': 2}
  • id: 3438988
    {'lmfdb_iso': '67280.e', 'p': 47, 'prec': 20, 'unit': 35029537512961836953309328455250, 'val': 2}
  • id: 3438982
    {'lmfdb_iso': '67280.e', 'p': 53, 'prec': 20, 'unit': 8450819670839556807949335631978, 'val': 3}
  • id: 3438983
    {'lmfdb_iso': '67280.e', 'p': 59, 'prec': 20, 'unit': 2413368788461202640707966194468739, 'val': 2}
  • id: 3438989
    {'lmfdb_iso': '67280.e', 'p': 61, 'prec': 20, 'unit': 6255357739969002148361499157184784, 'val': 2}
  • id: 3438972
    {'lmfdb_iso': '67280.e', 'p': 67, 'prec': 20, 'unit': 34375606800682362633292479722748708, 'val': 2}
  • id: 3438987
    {'lmfdb_iso': '67280.e', 'p': 71, 'prec': 20, 'unit': 538934412395313162904288441173162, 'val': 0}
  • id: 3438984
    {'lmfdb_iso': '67280.e', 'p': 73, 'prec': 20, 'unit': 184371297127576911704534202138162007, 'val': 2}
  • id: 3438978
    {'lmfdb_iso': '67280.e', 'p': 79, 'prec': 20, 'unit': 449310337345154897132897872308830323, 'val': 2}
  • id: 3438971
    {'lmfdb_iso': '67280.e', 'p': 83, 'prec': 20, 'unit': 123350806558020392211449523012646658, 'val': 2}
  • id: 3438986
    {'lmfdb_iso': '67280.e', 'p': 89, 'prec': 20, 'unit': 8359345961738624137170652012593032161, 'val': 2}
  • id: 3438970
    {'lmfdb_iso': '67280.e', 'p': 97, 'prec': 20, 'unit': 28011265339543698720676893811107114309, 'val': 2}