Elliptic curve data - 108900.j4

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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': '108900n', 'Clabel': '108900n3', 'Cnumber': 3, 'absD': 8717408790750000, 'ainvs': [0, 0, 0, 0, 4492125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': -3, 'conductor': 108900, 'degree': 622080, 'elladic_images': ['16.192.9.83'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7375574408759282493603268946', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [0, 1], 'lmfdb_iso': '108900.j', 'lmfdb_label': '108900.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 1], 'min_quad_twist_disc': 165, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.4982561525903912226841874494', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9075], [3, 2, 12100], [5, 14, 4356], [11, 62, 900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 103}, 'szpiro_ratio': 3.807390311917647, '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, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -8, 0], 'aplist': [0, 0, 0, -4, 0, 2, 0, -8, 0, 0, -4, 10, 0, 8, 0, 0, 0, -14, 16, 0, -10, 4, 0, 0, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 108900, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '108900.j', 'trace_hash': 1828666233688654764}
• 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': '0.030958277077773069909831481853', 'prec': 107}, 'conductor': 108900, 'gens': [[9889, 1464463, 8]], 'heights': [{'__RealLiteral__': 0, 'data': '7.4982561525903912226841874494', 'prec': 100}], 'lmfdb_label': '108900.j4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32747918655541426141881535930', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9110456508688630238924853245361215456', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-165, 0, 1]], 'xcoord_integral_points': [-165]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 1, 0], '19': [3, 0], '23': [1, 3, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '108900.j4'}
• ec_torsion_growth •

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

  
  
  • id: 5019222
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '108900.j4', 'torsion': [6]}
  • id: 5019221
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '108900.j4', 'torsion': [2, 2]}
  • id: 5019223
    {'degree': 4, 'field': [-2186, -164, 0, -2, 1], 'lmfdb_label': '108900.j4', 'torsion': [4]}
  • id: 5019224
    {'degree': 4, 'field': [196, -14, -13, -1, 1], 'lmfdb_label': '108900.j4', 'torsion': [2, 6]}
  • id: 5019225
    {'degree': 6, 'field': [2830, -750, 624, -81, 45, -3, 1], 'lmfdb_label': '108900.j4', 'torsion': [6]}
  • id: 5019227
    {'degree': 8, 'field': [32901, 9966, -8874, -2130, 931, 158, -48, -4, 1], 'lmfdb_label': '108900.j4', 'torsion': [12]}
  • id: 5019226
    {'degree': 8, 'field': [5148361, -4538, 2, 9070, -4529, -10, 8, -4, 1], 'lmfdb_label': '108900.j4', 'torsion': [4, 4]}
  • id: 5019228
    {'degree': 12, 'field': [11377129, 0, 3809475, 0, 572910, 0, 49379, 0, 2550, 0, 75, 0, 1], 'lmfdb_label': '108900.j4', 'torsion': [6, 6]}
  • id: 5019229
    {'degree': 12, 'field': [1141443031, 181964077, -174485267, -18949389, 11007115, 821338, -340269, -24878, 7111, 241, -76, -4, 1], 'lmfdb_label': '108900.j4', 'torsion': [2, 14]}
  • id: 5019231
    {'degree': 16, 'field': [1082475801, 0, 683248104, 0, 182464698, 0, 27368040, 0, 2537275, 0, 149128, 0, 5430, 0, 112, 0, 1], 'lmfdb_label': '108900.j4', 'torsion': [4, 12]}
  • id: 5019230
    {'degree': 16, 'field': [611847790849, -291071740012, 14035333892, 32228146224, -18795578118, 2889471664, -227141636, -68596132, 1746880, 1465788, -483492, 22184, -1350, -168, 4, -4, 1], 'lmfdb_label': '108900.j4', 'torsion': [8]}
  • id: 5019232
    {'degree': 18, 'field': [-31813498119, 0, 16377362937, 1824533802, -3375053370, -669612645, 461844552, 161174286, -21906612, -12743865, 1070433, 654138, -85407, -29169, 3885, 801, -90, -9, 1], 'lmfdb_label': '108900.j4', 'torsion': [18]}
• 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: 2676047
    {'conductor': 108900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '108900.j4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2676048
    {'conductor': 108900, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '108900.j4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2676049
    {'conductor': 108900, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '108900.j4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2676050
    {'conductor': 108900, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '108900.j4', 'prime': 11, 'reduction_type': 0, '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

  
  {'conductor': 108900, 'elladic_image': '16.192.9.83', 'lmfdb_label': '108900.j4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5678701
    {'lmfdb_iso': '108900.j', 'p': 7, 'prec': 20, 'unit': 4198171292696519, 'val': 1}
  • id: 5678704
    {'lmfdb_iso': '108900.j', 'p': 13, 'prec': 20, 'unit': 298097649424860867966, 'val': 1}
  • id: 5678706
    {'lmfdb_iso': '108900.j', 'p': 19, 'prec': 20, 'unit': 97513952626778064266803, 'val': 2}
  • id: 5678708
    {'lmfdb_iso': '108900.j', 'p': 31, 'prec': 20, 'unit': 17840208861000624678118557593, 'val': 1}
  • id: 5678700
    {'lmfdb_iso': '108900.j', 'p': 37, 'prec': 20, 'unit': 265415639092299198798785002678, 'val': 1}
  • id: 5678703
    {'lmfdb_iso': '108900.j', 'p': 43, 'prec': 20, 'unit': 9047010222785139095736371639751, 'val': 1}
  • id: 5678707
    {'lmfdb_iso': '108900.j', 'p': 61, 'prec': 20, 'unit': 4075244469961970029113428939474032, 'val': 1}
  • id: 5678699
    {'lmfdb_iso': '108900.j', 'p': 67, 'prec': 20, 'unit': 16187639858376079624923707209775571, 'val': 1}
  • id: 5678702
    {'lmfdb_iso': '108900.j', 'p': 73, 'prec': 20, 'unit': 123207161787081005219546760987422550, 'val': 1}
  • id: 5678705
    {'lmfdb_iso': '108900.j', 'p': 79, 'prec': 20, 'unit': 323049893503737654410665378380487405, 'val': 1}
  • id: 5678698
    {'lmfdb_iso': '108900.j', 'p': 97, 'prec': 20, 'unit': 20177079857766990385093852565523258420, 'val': 1}