Elliptic curve data - 38808.bd1

Formats: - HTML - YAML - JSON - 2024-04-30T09:17:54.758074

• 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': '38808bt', 'Clabel': '38808bt1', 'Cnumber': 1, 'abc_quality': 0.9738135487293411, 'absD': 2105010135519984, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 462, 'ainvs': [0, 0, 0, -42903, 4070871], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 38808, 'degree': 193536, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6588995408455226845519348938', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1], 'jinv': [-80850237696, 19487171], 'lmfdb_iso': '38808.bd', 'lmfdb_label': '38808.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -42903, 4070871], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['462.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 16, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.33861089570298986064621709729', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11741372689396365325675207309', 'prec': 103}, 'szpiro_ratio': 4.1605425496222, '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, -1, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, -8, 0, -5, 0], 'aplist': [0, 0, -1, 0, 1, -5, -8, -5, -6, -3, -2, 5, 8, 10, -3, -12, -3, 2, 9, -8, -7, -6, -4, -10, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 38808, 'isogeny_matrix': [[1]], 'lmfdb_iso': '38808.bd', 'trace_hash': 1497892946501617750}
• 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': '0.036232488810556340525660097330', 'prec': 107}, 'conductor': 38808, 'gens': [[133, 847, 1], [210, 2079, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.44463646515605472044283885167', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.82178038025671845712718118835', 'prec': 103}], 'lmfdb_label': '38808.bd1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.44246252077980447122502685307', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.3900673066701319220378991763418601448', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [], 'xcoord_integral_points': [-230, -195, -119, -87, 133, 210, 298, 1101]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [3, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '38808.bd1'}
• ec_torsion_growth •

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

  
  
  • id: 1913857
    {'degree': 3, 'field': [3, 0, -1, 1], 'lmfdb_label': '38808.bd1', 'torsion': [2]}
  • id: 1913858
    {'degree': 6, 'field': [81, 27, 42, 15, 4, -2, 1], 'lmfdb_label': '38808.bd1', 'torsion': [2, 2]}
  • id: 1913859
    {'degree': 8, 'field': [81, 0, -108, -126, -72, -42, -12, 0, 1], 'lmfdb_label': '38808.bd1', 'torsion': [3]}
  • id: 1913860
    {'degree': 12, 'field': [3034269, -3131982, 1873284, -486528, -99455, 102270, -30482, -1890, 2862, -378, 10, 0, 1], 'lmfdb_label': '38808.bd1', '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: 916649
    {'conductor': 38808, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '38808.bd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 916650
    {'conductor': 38808, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '38808.bd1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 916651
    {'conductor': 38808, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '38808.bd1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 916652
    {'conductor': 38808, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '38808.bd1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• 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': [[155, 2, 155, 3], [211, 2, 211, 3], [199, 2, 199, 3], [1, 1, 461, 0], [1, 2, 0, 1], [1, 0, 2, 1], [461, 2, 460, 3]], 'adelic_image': '462.2.0.?', 'conductor': 38808, 'lmfdb_label': '38808.bd1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1915965
    {'lmfdb_iso': '38808.bd', 'p': 5, 'prec': 20, 'unit': 7952364266563, 'val': 2}
  • id: 1915971
    {'lmfdb_iso': '38808.bd', 'p': 13, 'prec': 20, 'unit': 388876090426455332342, 'val': 2}
  • id: 1915973
    {'lmfdb_iso': '38808.bd', 'p': 17, 'prec': 20, 'unit': 82331107988893933188748, 'val': 2}
  • id: 1915974
    {'lmfdb_iso': '38808.bd', 'p': 19, 'prec': 20, 'unit': 1952520946037632423146648, 'val': 2}
  • id: 1915978
    {'lmfdb_iso': '38808.bd', 'p': 23, 'prec': 20, 'unit': 66938739303296523758780399, 'val': 2}
  • id: 1915970
    {'lmfdb_iso': '38808.bd', 'p': 29, 'prec': 20, 'unit': 4915900677917202375671120998, 'val': 2}
  • id: 1915967
    {'lmfdb_iso': '38808.bd', 'p': 31, 'prec': 20, 'unit': 5782273210686841582164836563, 'val': 2}
  • id: 1915982
    {'lmfdb_iso': '38808.bd', 'p': 37, 'prec': 20, 'unit': 173889836937423938102851909499, 'val': 2}
  • id: 1915968
    {'lmfdb_iso': '38808.bd', 'p': 41, 'prec': 20, 'unit': 2000563529768956890821431175449, 'val': 2}
  • id: 1915969
    {'lmfdb_iso': '38808.bd', 'p': 43, 'prec': 20, 'unit': 3329336533854181754337119002975, 'val': 2}
  • id: 1915980
    {'lmfdb_iso': '38808.bd', 'p': 47, 'prec': 20, 'unit': 2106432443462232167829268613354, 'val': 2}
  • id: 1915975
    {'lmfdb_iso': '38808.bd', 'p': 53, 'prec': 20, 'unit': 419174231363131505420551975729847, 'val': 2}
  • id: 1915976
    {'lmfdb_iso': '38808.bd', 'p': 59, 'prec': 20, 'unit': 3959760741315901655301156861940238, 'val': 2}
  • id: 1915981
    {'lmfdb_iso': '38808.bd', 'p': 61, 'prec': 20, 'unit': 313743500052533092550210461921750, 'val': 2}
  • id: 1915964
    {'lmfdb_iso': '38808.bd', 'p': 67, 'prec': 20, 'unit': 29083123807092103501783996061369530, 'val': 2}
  • id: 1915966
    {'lmfdb_iso': '38808.bd', 'p': 71, 'prec': 20, 'unit': 105343228535546827633534734342407256, 'val': 2}
  • id: 1915977
    {'lmfdb_iso': '38808.bd', 'p': 73, 'prec': 20, 'unit': 66795163101070096538879359436476206, 'val': 2}
  • id: 1915972
    {'lmfdb_iso': '38808.bd', 'p': 79, 'prec': 20, 'unit': 275321131973229386841258061002829950, 'val': 2}
  • id: 1915963
    {'lmfdb_iso': '38808.bd', 'p': 83, 'prec': 20, 'unit': 1582911709542528968941198711389852318, 'val': 2}
  • id: 1915979
    {'lmfdb_iso': '38808.bd', 'p': 89, 'prec': 20, 'unit': 2816907045375019952662824012670345764, 'val': 2}
  • id: 1915962
    {'lmfdb_iso': '38808.bd', 'p': 97, 'prec': 20, 'unit': 51819126558931538032644058451885663233, 'val': 2}