Elliptic curve data - 238.c2

Formats: - HTML - YAML - JSON - 2024-04-28T21:51:12.260547

• 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': '238a', 'Clabel': '238a1', 'Cnumber': 1, 'abc_quality': 0.9817093552555903, 'absD': 13647872, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [1, 0, 0, -60, 16], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 238, 'degree': 112, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.058871876808430146608506923626', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [23912763841, 13647872], 'lmfdb_iso': '238.c', 'lmfdb_label': '238.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -60, 16], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '34.6.0.a.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.10674073769139848655619094805', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.058871876808430146608506923626', 'prec': 107}, 'szpiro_ratio': 4.367049736817948, '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, -2, 1, -4, -2, 1, 1, 1, -4, -6, -2, -2, 1, 8, 1, -1, 1, 0, -4], 'aplist': [1, -2, -4, 1, -6, -2, -1, 0, -4, 8, 0, 4, -2, -8, -8, -6, -4, -8, -16, 4, 10, -12, 12, 10, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 238, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '238.c', 'trace_hash': 1281837606979933839}
• 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': '0.88892380694317562534804137459', 'prec': 103}, 'conductor': 238, 'gens': [[-4, 16, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.10674073769139848655619094805', 'prec': 103}], 'lmfdb_label': '238.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9151889278600880016725105334', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4310007528472904666251387165046806124', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [[-8, 4, 1]], 'xcoord_integral_points': [-8, -6, -4, 0, 8, 10, 24, 56, 192]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 0], '5': [1, 0], '7': [4, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 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': '238.c2'}
• ec_torsion_growth •

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

  
  
  • id: 10012
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '238.c2', 'torsion': [2, 2]}
  • id: 10013
    {'degree': 4, 'field': [2, -4, 5, -2, 1], 'lmfdb_label': '238.c2', 'torsion': [4]}
  • id: 10016
    {'degree': 8, 'field': [-168, 84, -42, -85, 46, -7, 7, -4, 1], 'lmfdb_label': '238.c2', 'torsion': [6]}
  • id: 10015
    {'degree': 8, 'field': [8, -8, 9, -2, 3, 20, 3, -2, 1], 'lmfdb_label': '238.c2', 'torsion': [2, 4]}
  • id: 10014
    {'degree': 8, 'field': [3656, -3544, 550, 76, -121, 66, -6, -2, 1], 'lmfdb_label': '238.c2', 'torsion': [2, 4]}
  • id: 10018
    {'degree': 16, 'field': [24994, 18760, -14812, -54833, -26700, 17053, 33699, 11890, -4733, -6162, -1814, -5, -10, 21, -1, -4, 1], 'lmfdb_label': '238.c2', 'torsion': [2, 6]}
  • id: 10017
    {'degree': 16, 'field': [265952, -478976, 866880, -846944, 715316, -489440, 247388, -90632, 20431, -1248, -2396, 1144, -152, 24, 12, -8, 1], 'lmfdb_label': '238.c2', '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: 2110
    {'conductor': 238, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '238.c2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 2111
    {'conductor': 238, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '238.c2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2112
    {'conductor': 238, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '238.c2', 'prime': 17, '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

  
  
  • id: 1666773
    {'adelic_gens': [[133, 4, 132, 5], [1, 4, 0, 1], [74, 1, 31, 0], [1, 0, 4, 1], [69, 4, 2, 9], [3, 4, 8, 11], [121, 18, 16, 119], [1, 2, 2, 5]], 'adelic_image': '136.12.0.?', 'conductor': 238, 'lmfdb_label': '238.c2', 'prime': 0}
  • id: 991
    {'conductor': 238, 'elladic_image': '8.6.0.1', 'lmfdb_label': '238.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2152
    {'lmfdb_iso': '238.c', 'p': 5, 'prec': 20, 'unit': 27535816039863, 'val': -1}
  • id: 2136
    {'lmfdb_iso': '238.c', 'p': 11, 'prec': 20, 'unit': 17586414908763595272, 'val': 1}
  • id: 2142
    {'lmfdb_iso': '238.c', 'p': 13, 'prec': 20, 'unit': 282050141740689425150, 'val': 1}
  • id: 2148
    {'lmfdb_iso': '238.c', 'p': 23, 'prec': 20, 'unit': 65475578456656532989699500, 'val': 1}
  • id: 2141
    {'lmfdb_iso': '238.c', 'p': 29, 'prec': 20, 'unit': 1338180247872552035899021028, 'val': 1}
  • id: 2137
    {'lmfdb_iso': '238.c', 'p': 37, 'prec': 20, 'unit': 597989557997291814665101268613, 'val': 1}
  • id: 2139
    {'lmfdb_iso': '238.c', 'p': 41, 'prec': 20, 'unit': 2032583463692818602570006353332, 'val': 1}
  • id: 2140
    {'lmfdb_iso': '238.c', 'p': 43, 'prec': 20, 'unit': 4159348842260193809995061376949, 'val': 1}
  • id: 2150
    {'lmfdb_iso': '238.c', 'p': 47, 'prec': 20, 'unit': 30891106160114351612256226114511, 'val': 1}
  • id: 2146
    {'lmfdb_iso': '238.c', 'p': 53, 'prec': 20, 'unit': 203834779801574842133505362185856, 'val': 1}
  • id: 2144
    {'lmfdb_iso': '238.c', 'p': 59, 'prec': 20, 'unit': 2525276923302822721482763313755665, 'val': 1}
  • id: 2151
    {'lmfdb_iso': '238.c', 'p': 61, 'prec': 20, 'unit': 6062390476687414913789425561098309, 'val': 1}
  • id: 2145
    {'lmfdb_iso': '238.c', 'p': 67, 'prec': 20, 'unit': 6480826035696128106038204932445594, 'val': 1}
  • id: 2138
    {'lmfdb_iso': '238.c', 'p': 71, 'prec': 20, 'unit': 47571862387167631215839905882820466, 'val': 1}
  • id: 2147
    {'lmfdb_iso': '238.c', 'p': 73, 'prec': 20, 'unit': 182373690429911770210265000382667991, 'val': 1}
  • id: 2143
    {'lmfdb_iso': '238.c', 'p': 79, 'prec': 20, 'unit': 80509848564458847085298582105613255, 'val': 1}
  • id: 2135
    {'lmfdb_iso': '238.c', 'p': 83, 'prec': 20, 'unit': 2399097871857460843983121800331395182, 'val': 1}
  • id: 2149
    {'lmfdb_iso': '238.c', 'p': 89, 'prec': 20, 'unit': 973827042491583105230193474806056571, 'val': 1}
  • id: 2134
    {'lmfdb_iso': '238.c', 'p': 97, 'prec': 20, 'unit': 2364777045643408203910991441900557438, 'val': 1}