Elliptic curve data - 19074.i2

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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': '19074k', 'Clabel': '19074k1', 'Cnumber': 1, 'abc_quality': 1.025647102928615, 'absD': 28522700248998912, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 0, 1, -76447, -408526], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19074, 'degree': 138240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8469787410137224957126785486', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [2046931732873, 1181672448], 'lmfdb_iso': '19074.i', 'lmfdb_label': '19074.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -264, -192], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2960318592496016929716832245', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9537], [3, 4, 578], [5, 2, 9537], [11, 12, 1734], [17, 162, 66]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43037206898561445558791123966', 'prec': 103}, 'szpiro_ratio': 4.600879513625102, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -1, 1, 1, -2, -1, 2, -1, 1, 2, 1, 1, 0, -2, -2, 1, 0, -1, -2, -2], 'aplist': [-1, 1, -2, 2, 1, 0, 0, -2, 6, -2, 0, -2, -2, -10, 4, 4, 6, 10, -12, -6, 4, 2, -12, -2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 19074, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '19074.i', 'trace_hash': 1624230615801783284}
• 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': '0.024873371086848294109040709235', 'prec': 107}, 'conductor': 19074, 'gens': [[-9, 532, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2960318592496016929716832245', 'prec': 100}], 'lmfdb_label': '19074.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.31337435637206250915860112350', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3171050366125636907120351139208293438', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[279, -140, 1]], 'xcoord_integral_points': [-9, 279]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [2, 0], '5': [1, 0], '7': [5, 0], '11': [2, 0], '13': [1, 1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '19074.i2'}
• ec_torsion_growth •

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

  
  
  • id: 974327
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '19074.i2', 'torsion': [2, 2]}
  • id: 974328
    {'degree': 4, 'field': [47, 18, -17, -2, 1], 'lmfdb_label': '19074.i2', 'torsion': [4]}
  • id: 974331
    {'degree': 8, 'field': [-4, 19, 68, 33, 9, 3, 13, -4, 1], 'lmfdb_label': '19074.i2', 'torsion': [6]}
  • id: 974330
    {'degree': 8, 'field': [1089, 0, -2178, 0, 1159, 0, -70, 0, 1], 'lmfdb_label': '19074.i2', 'torsion': [2, 4]}
  • id: 974329
    {'degree': 8, 'field': [9552, -12288, 5532, -696, -386, 100, 39, -2, 1], 'lmfdb_label': '19074.i2', 'torsion': [2, 4]}
  • id: 974333
    {'degree': 16, 'field': [102151368, 101939310, -10872927, -34371324, 1521810, 6049170, -908613, -567348, 199155, 19050, -22457, 420, 1551, -56, -54, 0, 1], 'lmfdb_label': '19074.i2', 'torsion': [2, 6]}
  • id: 974332
    {'degree': 16, 'field': [11368464129, 0, -6161418252, 0, 867402162, 0, -3200472, 0, -3189045, 0, -175016, 0, 8850, 0, -132, 0, 1], 'lmfdb_label': '19074.i2', 'torsion': [8]}
• 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: 430063
    {'conductor': 19074, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '19074.i2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 430064
    {'conductor': 19074, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19074.i2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 430065
    {'conductor': 19074, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '19074.i2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 430066
    {'conductor': 19074, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '19074.i2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1791386
    {'adelic_gens': [[1498, 1, 1495, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [2245, 4, 2, 9], [3929, 562, 560, 3927], [818, 1, 4079, 0], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 19074, 'lmfdb_label': '19074.i2', 'prime': 0}
  • id: 88999
    {'conductor': 19074, 'elladic_image': '2.3.0.1', 'lmfdb_label': '19074.i2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 881505
    {'lmfdb_iso': '19074.i', 'p': 5, 'prec': 20, 'unit': 4775109632967, 'val': 1}
  • id: 881491
    {'lmfdb_iso': '19074.i', 'p': 7, 'prec': 20, 'unit': 959048759302742, 'val': 2}
  • id: 881487
    {'lmfdb_iso': '19074.i', 'p': 19, 'prec': 20, 'unit': 1941287330070402477123888, 'val': 1}
  • id: 881500
    {'lmfdb_iso': '19074.i', 'p': 23, 'prec': 20, 'unit': 22860930250053509250938863, 'val': 1}
  • id: 881494
    {'lmfdb_iso': '19074.i', 'p': 29, 'prec': 20, 'unit': 4927514532813357388329139266, 'val': 1}
  • id: 881490
    {'lmfdb_iso': '19074.i', 'p': 37, 'prec': 20, 'unit': 342508390162099504064102249991, 'val': 1}
  • id: 881492
    {'lmfdb_iso': '19074.i', 'p': 41, 'prec': 20, 'unit': 3014895211466096874703922088301, 'val': 1}
  • id: 881493
    {'lmfdb_iso': '19074.i', 'p': 43, 'prec': 20, 'unit': 6961384574777856825151815611529, 'val': 1}
  • id: 881503
    {'lmfdb_iso': '19074.i', 'p': 47, 'prec': 20, 'unit': 42280873125154889902731349886401, 'val': 1}
  • id: 881498
    {'lmfdb_iso': '19074.i', 'p': 53, 'prec': 20, 'unit': 49147767908483401936389760818083, 'val': 1}
  • id: 881496
    {'lmfdb_iso': '19074.i', 'p': 59, 'prec': 20, 'unit': 2050085485689483203773363151479914, 'val': 1}
  • id: 881504
    {'lmfdb_iso': '19074.i', 'p': 61, 'prec': 20, 'unit': 809203879445411065529682408454048, 'val': 1}
  • id: 881489
    {'lmfdb_iso': '19074.i', 'p': 67, 'prec': 20, 'unit': 23271915924256153968049700857757500, 'val': 1}
  • id: 881502
    {'lmfdb_iso': '19074.i', 'p': 71, 'prec': 20, 'unit': 97765082859407595650867333446455349, 'val': 1}
  • id: 881499
    {'lmfdb_iso': '19074.i', 'p': 73, 'prec': 20, 'unit': 190806461951273308836888605201580408, 'val': 1}
  • id: 881495
    {'lmfdb_iso': '19074.i', 'p': 79, 'prec': 20, 'unit': 1031731317463717129444857505402061597, 'val': 1}
  • id: 881497
    {'lmfdb_iso': '19074.i', 'p': 83, 'prec': 20, 'unit': 2031897907253304142230107625313523052, 'val': 1}
  • id: 881501
    {'lmfdb_iso': '19074.i', 'p': 89, 'prec': 20, 'unit': 4784083907185695255201112434605280007, 'val': 1}
  • id: 881488
    {'lmfdb_iso': '19074.i', 'p': 97, 'prec': 20, 'unit': 9059194841364314699775458566133986763, 'val': 1}