Elliptic curve data - 80223.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
  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': '80223l', 'Clabel': '80223l1', 'Cnumber': 1, 'abc_quality': 0.9172086751523209, 'absD': 5780452911779543283, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 1, 1, -209854, -121518809], 'analytic_rank': 1, 'bad_primes': [3, 11, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 80223, 'degree': 2078208, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2840221218230248224519835589', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [-39404941312, 222861483], 'lmfdb_iso': '80223.r', 'lmfdb_label': '80223.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1734, 90668], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.3467903611933605692255567413', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28577606115771603573369724393', 'prec': 103}, 'szpiro_ratio': 4.4943864161429605, '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, 2, 1, 2, -2, 2, -3, 0, 1, -4, 0, 2, -1, -6, -2, -4, -1, 2, -1, -4], 'aplist': [2, 1, -2, -3, 0, -1, -1, -1, 0, 8, 5, 5, -6, 8, 2, -8, 4, -1, -1, -8, -3, 15, 16, 12, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 80223, 'isogeny_matrix': [[1]], 'lmfdb_iso': '80223.r', 'trace_hash': 221661803739619119}
• 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': '0.010378237185575374661116237248', 'prec': 107}, 'conductor': 80223, 'gens': [[910097, 651071495, 32]], 'heights': [{'__RealLiteral__': 0, 'data': '9.3467903611933605692255567413', 'prec': 100}], 'lmfdb_label': '80223.r1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10007008301276900354048308813', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.224009048170825245106719184564948991', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 6, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '80223.r1'}
• ec_torsion_growth •

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

  
  
  • id: 3777713
    {'degree': 3, 'field': [13, -7, -1, 1], 'lmfdb_label': '80223.r1', 'torsion': [2]}
  • id: 3777714
    {'degree': 6, 'field': [75, 0, -29, 0, 1, 0, 1], 'lmfdb_label': '80223.r1', 'torsion': [2, 2]}
  • id: 3777715
    {'degree': 8, 'field': [2193, 9603, 4982, 2038, 904, -87, 53, -4, 1], 'lmfdb_label': '80223.r1', 'torsion': [3]}
  • id: 3777716
    {'degree': 12, 'field': [-81675, 0, 561682, 0, -33033, 0, 5324, 0, 1331, 0, 66, 0, 1], 'lmfdb_label': '80223.r1', '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: 1952391
    {'conductor': 80223, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '80223.r1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1952392
    {'conductor': 80223, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '80223.r1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1952393
    {'conductor': 80223, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '80223.r1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1952394
    {'conductor': 80223, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '80223.r1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• 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, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 80223, 'lmfdb_label': '80223.r1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4133499
    {'lmfdb_iso': '80223.r', 'p': 5, 'prec': 20, 'unit': 15589956025172, 'val': 1}
  • id: 4133485
    {'lmfdb_iso': '80223.r', 'p': 7, 'prec': 20, 'unit': 4515511367868519, 'val': 1}
  • id: 4133481
    {'lmfdb_iso': '80223.r', 'p': 19, 'prec': 20, 'unit': 145081026979759049491366, 'val': 1}
  • id: 4133489
    {'lmfdb_iso': '80223.r', 'p': 29, 'prec': 20, 'unit': 873983356469400479633379384, 'val': 1}
  • id: 4133486
    {'lmfdb_iso': '80223.r', 'p': 31, 'prec': 20, 'unit': 181613109013717402269337422, 'val': 1}
  • id: 4133484
    {'lmfdb_iso': '80223.r', 'p': 37, 'prec': 20, 'unit': 41218307405441066479983030284, 'val': 1}
  • id: 4133487
    {'lmfdb_iso': '80223.r', 'p': 41, 'prec': 20, 'unit': 1705657822924834562756097933318, 'val': 1}
  • id: 4133488
    {'lmfdb_iso': '80223.r', 'p': 43, 'prec': 20, 'unit': 2820167875033373996514391959773, 'val': 1}
  • id: 4133497
    {'lmfdb_iso': '80223.r', 'p': 47, 'prec': 20, 'unit': 27016641659121777902785284861852, 'val': 1}
  • id: 4133493
    {'lmfdb_iso': '80223.r', 'p': 53, 'prec': 20, 'unit': 4807276058857945703862869463174, 'val': 1}
  • id: 4133491
    {'lmfdb_iso': '80223.r', 'p': 59, 'prec': 20, 'unit': 3693202422955346882613830426784199, 'val': 1}
  • id: 4133498
    {'lmfdb_iso': '80223.r', 'p': 61, 'prec': 20, 'unit': 3096026552211140157721910758107539, 'val': 1}
  • id: 4133483
    {'lmfdb_iso': '80223.r', 'p': 67, 'prec': 20, 'unit': 21085600928405372853625640752360801, 'val': 1}
  • id: 4133496
    {'lmfdb_iso': '80223.r', 'p': 71, 'prec': 20, 'unit': 137033053035621897688898732687809207, 'val': 1}
  • id: 4133494
    {'lmfdb_iso': '80223.r', 'p': 73, 'prec': 20, 'unit': 128159977803551903703873847272861641, 'val': 1}
  • id: 4133490
    {'lmfdb_iso': '80223.r', 'p': 79, 'prec': 20, 'unit': 1039234870447549480063182767022829126, 'val': 1}
  • id: 4133492
    {'lmfdb_iso': '80223.r', 'p': 83, 'prec': 20, 'unit': 244098603006015581597236335847528931, 'val': 1}
  • id: 4133495
    {'lmfdb_iso': '80223.r', 'p': 89, 'prec': 20, 'unit': 2884549943264815310429507074661332752, 'val': 1}
  • id: 4133482
    {'lmfdb_iso': '80223.r', 'p': 97, 'prec': 20, 'unit': 49765640606813645331876127697609145278, 'val': 1}