Elliptic curve data - 36800.bc1

Formats: - HTML - YAML - JSON - 2026-06-22T04:27:31.119177

• 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': '36800i', 'Clabel': '36800i1', 'Cnumber': 1, 'abc_quality': 0.9848639106836, 'absD': 368000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 46, 'ainvs': [0, -1, 0, -33, 937], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 36800, 'degree': 10240, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.32323130322921598884974605618', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1], 'jinv': [-256, 23], 'lmfdb_iso': '36800.bc', 'lmfdb_label': '36800.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, 1], 'min_quad_twist_disc': 40, 'modell_images': [], 'modm_images': ['46.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2371055657315230622852464822', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 575], [5, 14, 1472], [23, 24, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0591103034544552896316603783', 'prec': 103}, 'szpiro_ratio': 2.585758536607085, '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, -1, 0, 0, 0, -2, 0, -2, 0, 4, 0, -5, 0, 0, 0, 2, 0, -6, 0], 'aplist': [0, -1, 0, -2, 4, -5, 2, -6, -1, -1, -9, -4, 3, 8, 5, 6, 4, 10, -4, -5, 15, -6, 6, -8, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 36800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '36800.bc', 'trace_hash': 599686899237796713}
• 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': '0.52389572819419925400209538383', 'prec': 103}, 'conductor': 36800, 'gens': [[-8, 25, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2371055657315230622852464822', 'prec': 100}], 'lmfdb_label': '36800.bc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3965806362312749343711242780', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4554353561491635841994154268014708649', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 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': '36800.bc1'}
• ec_torsion_growth •

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

  
  
  • id: 1820482
    {'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '36800.bc1', 'torsion': [2]}
  • id: 1820483
    {'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '36800.bc1', 'torsion': [2, 2]}
  • id: 1820484
    {'degree': 8, 'field': [-7500, 0, 1000, 0, 0, 0, -30, 0, 1], 'lmfdb_label': '36800.bc1', 'torsion': [3]}
  • id: 1820485
    {'degree': 12, 'field': [-359375, 0, 50000, 0, 3750, 0, 1250, 0, -275, 0, 0, 0, 1], 'lmfdb_label': '36800.bc1', '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: 867235
    {'conductor': 36800, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '36800.bc1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 867236
    {'conductor': 36800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '36800.bc1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 867237
    {'conductor': 36800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '36800.bc1', 'prime': 23, '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

  
  {'adelic_gens': [[5, 2, 5, 3], [1, 1, 45, 0], [1, 2, 0, 1], [45, 2, 44, 3], [1, 0, 2, 1]], 'adelic_image': '46.2.0.?', 'conductor': 36800, 'lmfdb_label': '36800.bc1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1811516
    {'lmfdb_iso': '36800.bc', 'p': 7, 'prec': 20, 'unit': 9819624756636844, 'val': 1}
  • id: 1811514
    {'lmfdb_iso': '36800.bc', 'p': 11, 'prec': 20, 'unit': 1495285531204996428, 'val': 1}
  • id: 1811520
    {'lmfdb_iso': '36800.bc', 'p': 13, 'prec': 20, 'unit': 165100173241298887279, 'val': 1}
  • id: 1811522
    {'lmfdb_iso': '36800.bc', 'p': 17, 'prec': 20, 'unit': 147655298622900642299215, 'val': 1}
  • id: 1811523
    {'lmfdb_iso': '36800.bc', 'p': 19, 'prec': 20, 'unit': 48135011279501697616287, 'val': 2}
  • id: 1811519
    {'lmfdb_iso': '36800.bc', 'p': 29, 'prec': 20, 'unit': 3125289223750960859251499408, 'val': 1}
  • id: 1811532
    {'lmfdb_iso': '36800.bc', 'p': 31, 'prec': 20, 'unit': 20395934355806574153925689774, 'val': 1}
  • id: 1811515
    {'lmfdb_iso': '36800.bc', 'p': 37, 'prec': 20, 'unit': 551705581307419651274132238976, 'val': 1}
  • id: 1811517
    {'lmfdb_iso': '36800.bc', 'p': 41, 'prec': 20, 'unit': 535480404399114556167582886616, 'val': 1}
  • id: 1811518
    {'lmfdb_iso': '36800.bc', 'p': 43, 'prec': 20, 'unit': 1117284300477678397677091489972, 'val': 1}
  • id: 1811530
    {'lmfdb_iso': '36800.bc', 'p': 47, 'prec': 20, 'unit': 29573895618085874689630375985945, 'val': 1}
  • id: 1811524
    {'lmfdb_iso': '36800.bc', 'p': 53, 'prec': 20, 'unit': 404590662115556597222074507050946, 'val': 1}
  • id: 1811525
    {'lmfdb_iso': '36800.bc', 'p': 59, 'prec': 20, 'unit': 1173868000481866221392048260208979, 'val': 1}
  • id: 1811531
    {'lmfdb_iso': '36800.bc', 'p': 61, 'prec': 20, 'unit': 584274590791787248505396797919142, 'val': 1}
  • id: 1811513
    {'lmfdb_iso': '36800.bc', 'p': 67, 'prec': 20, 'unit': 40625116818587892257451933663520867, 'val': 1}
  • id: 1811529
    {'lmfdb_iso': '36800.bc', 'p': 71, 'prec': 20, 'unit': 80633136109064144765033059695890793, 'val': 1}
  • id: 1811526
    {'lmfdb_iso': '36800.bc', 'p': 73, 'prec': 20, 'unit': 92342864403326012159206292272534676, 'val': 1}
  • id: 1811521
    {'lmfdb_iso': '36800.bc', 'p': 79, 'prec': 20, 'unit': 208039009864807381549196455625486097, 'val': 1}
  • id: 1811527
    {'lmfdb_iso': '36800.bc', 'p': 83, 'prec': 20, 'unit': 526412558188142732574427405413654145, 'val': 1}
  • id: 1811528
    {'lmfdb_iso': '36800.bc', 'p': 89, 'prec': 20, 'unit': 3776507107627917358020576230674032642, 'val': 1}
  • id: 1811512
    {'lmfdb_iso': '36800.bc', 'p': 97, 'prec': 20, 'unit': 42254778896155255688521536646483577011, 'val': 1}