Elliptic curve data - 88200.fe1

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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': '88200fl', 'Clabel': '88200fl1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 1050634982250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 0, 0, -77175, 8103375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 88200, 'degree': 329280, 'elladic_images': ['2.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6726183011117141252242232181', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 134, 'isogeny_degrees': [1], 'jinv': [48384, 1], 'lmfdb_iso': '88200.fe', 'lmfdb_label': '88200.fe1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, 7], 'min_quad_twist_disc': 105, 'modell_images': ['2Cn'], 'modm_images': ['2.2.0.a.1', '14.6.0.a.1', '60.4.0-2.a.1.1', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4534724958774925747868686234', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 6, 9800], [5, 14, 3528], [7, 26, 1800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2097292923295815476497582698', 'prec': 103}, 'szpiro_ratio': 3.9846888696925977, '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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 3, 0, 5, 0], 'aplist': [0, 0, 0, 0, 1, -2, 3, 5, -3, 6, -1, 5, 10, 4, 1, -9, -3, 3, -11, -16, -7, -11, -4, 9, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 88200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '88200.fe', 'trace_hash': 1518960710411425080}
• 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': '0.035251873499175655886997582904', 'prec': 107}, 'conductor': 88200, 'gens': [[49, 2107, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4534724958774925747868686234', 'prec': 100}], 'lmfdb_label': '88200.fe1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49166133017076306091759173605', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2376653051630599379480023877106679231', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [49]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [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': '88200.fe1'}
• ec_torsion_growth •

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

  
  
  • id: 4130605
    {'degree': 3, 'field': [1, -2, -1, 1], 'lmfdb_label': '88200.fe1', 'torsion': [2, 2]}
  • id: 4130606
    {'degree': 8, 'field': [-1421, -1442, -266, 406, 160, -26, -14, -2, 1], 'lmfdb_label': '88200.fe1', 'torsion': [3]}
  • id: 4130607
    {'degree': 12, 'field': [187489, -70146, 5350, 44872, -65082, 35194, -12404, 3602, -663, 12, 18, -4, 1], 'lmfdb_label': '88200.fe1', 'torsion': [2, 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: 2155453
    {'conductor': 88200, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '88200.fe1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2155454
    {'conductor': 88200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '88200.fe1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2155455
    {'conductor': 88200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '88200.fe1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2155456
    {'conductor': 88200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '88200.fe1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2245002
    {'adelic_gens': [[179, 165, 375, 164], [211, 60, 210, 1], [1, 2, 2, 5], [139, 0, 0, 419], [1, 4, 0, 1], [83, 0, 0, 419], [3, 2, 412, 415], [417, 4, 416, 5], [1, 0, 4, 1]], 'adelic_image': '420.12.0.?', 'conductor': 88200, 'lmfdb_label': '88200.fe1', 'prime': 0}
  • id: 359167
    {'conductor': 88200, 'elladic_image': '2.2.0.1', 'lmfdb_label': '88200.fe1', 'modell_image': '2Cn', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4561515
    {'lmfdb_iso': '88200.fe', 'p': 11, 'prec': 20, 'unit': 191980295105791193482, 'val': -1}
  • id: 4561521
    {'lmfdb_iso': '88200.fe', 'p': 13, 'prec': 20, 'unit': 25287093448003000501, 'val': 1}
  • id: 4561523
    {'lmfdb_iso': '88200.fe', 'p': 17, 'prec': 20, 'unit': 228923249166395740315564, 'val': 1}
  • id: 4561524
    {'lmfdb_iso': '88200.fe', 'p': 19, 'prec': 20, 'unit': 965890899279850914389159, 'val': 1}
  • id: 4561528
    {'lmfdb_iso': '88200.fe', 'p': 23, 'prec': 20, 'unit': 58776530744467808064729379, 'val': 1}
  • id: 4561520
    {'lmfdb_iso': '88200.fe', 'p': 29, 'prec': 20, 'unit': 2088626421235325243730827941, 'val': 1}
  • id: 4561533
    {'lmfdb_iso': '88200.fe', 'p': 31, 'prec': 20, 'unit': 1588695555926820786252135655, 'val': 1}
  • id: 4561516
    {'lmfdb_iso': '88200.fe', 'p': 37, 'prec': 20, 'unit': 220711899216245833928411628736, 'val': 1}
  • id: 4561518
    {'lmfdb_iso': '88200.fe', 'p': 41, 'prec': 20, 'unit': 3503251931234174664607516360251, 'val': 1}
  • id: 4561519
    {'lmfdb_iso': '88200.fe', 'p': 43, 'prec': 20, 'unit': 7732568380622037823400305220271, 'val': 1}
  • id: 4561530
    {'lmfdb_iso': '88200.fe', 'p': 47, 'prec': 20, 'unit': 2307776689019157754084607008061663, 'val': -1}
  • id: 4561525
    {'lmfdb_iso': '88200.fe', 'p': 53, 'prec': 20, 'unit': 523430424238259077947717838351195, 'val': 1}
  • id: 4561526
    {'lmfdb_iso': '88200.fe', 'p': 59, 'prec': 20, 'unit': 344397650676071362797533639828193, 'val': 1}
  • id: 4561531
    {'lmfdb_iso': '88200.fe', 'p': 61, 'prec': 20, 'unit': 1560549897588526503330886687698243, 'val': 1}
  • id: 4561514
    {'lmfdb_iso': '88200.fe', 'p': 67, 'prec': 20, 'unit': 24101415229855001835882684598388429, 'val': 1}
  • id: 4561517
    {'lmfdb_iso': '88200.fe', 'p': 71, 'prec': 20, 'unit': 82875158412577212410819799578852810, 'val': 1}
  • id: 4561527
    {'lmfdb_iso': '88200.fe', 'p': 73, 'prec': 20, 'unit': 135852785960692465435274232520977264, 'val': 1}
  • id: 4561522
    {'lmfdb_iso': '88200.fe', 'p': 79, 'prec': 20, 'unit': 310468888485128213235877876808108941, 'val': 1}
  • id: 4561532
    {'lmfdb_iso': '88200.fe', 'p': 83, 'prec': 20, 'unit': 1354382795746923029433227004804583528, 'val': 1}
  • id: 4561529
    {'lmfdb_iso': '88200.fe', 'p': 89, 'prec': 20, 'unit': 9831864434865330821086773910637311969, 'val': 1}
  • id: 4561513
    {'lmfdb_iso': '88200.fe', 'p': 97, 'prec': 20, 'unit': 21737048039001874813912850701542321839, 'val': 1}