Elliptic curve data - 103056.t1

Formats: - HTML - YAML - JSON - 2024-05-03T20:02:32.462079

• 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': '103056j', 'Clabel': '103056j1', 'Cnumber': 1, 'abc_quality': 0.8436945647829657, 'absD': 101787998976, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 678, 'ainvs': [0, 1, 0, -532, 15884], 'analytic_rank': 2, 'bad_primes': [2, 3, 19, 113], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 103056, 'degree': 129024, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79585177586843595406206920274', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1], 'jinv': [-65168050768, 397609371], 'lmfdb_iso': '103056.t', 'lmfdb_label': '103056.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -532, -15884], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['678.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.44514287690532909132093501618', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33375365549513908111724778843', 'prec': 103}, 'szpiro_ratio': 2.8494685552573444, '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, 1, 0, -3, 0, -3, 0, 1, 0, -6, 0, -3, 0, -3, 0, 5, 0, 1, 0], 'aplist': [0, 1, -3, -3, -6, -3, 5, 1, 3, -6, -3, 4, 2, -4, -12, 6, 11, -11, 4, -9, -2, -8, 10, -6, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 103056, 'isogeny_matrix': [[1]], 'lmfdb_iso': '103056.t', 'trace_hash': 1372117748163063923}
• 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': '0.20357850964128100852158586412', 'prec': 103}, 'conductor': 103056, 'gens': [[38, 228, 1], [266, 4332, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.35547230092286416687714621837', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.2646720661886785050457268400', 'prec': 100}], 'lmfdb_label': '103056.t1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.91665729457871016070453642890', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7930431658805463566421564869344922544', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [-22, 10, 19, 38, 95, 266]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [3, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [4, 0], '113': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '103056.t1'}
• ec_torsion_growth •

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

  
  
  • id: 4773091
    {'degree': 3, 'field': [4, -1, -1, 1], 'lmfdb_label': '103056.t1', 'torsion': [2]}
  • id: 4773092
    {'degree': 6, 'field': [241, -182, 110, -26, 2, -2, 1], 'lmfdb_label': '103056.t1', 'torsion': [2, 2]}
  • id: 4773093
    {'degree': 8, 'field': [-10800, 0, -1008, 0, 360, 0, 0, 0, 1], 'lmfdb_label': '103056.t1', 'torsion': [3]}
  • id: 4773094
    {'degree': 12, 'field': [557, 406, 13038, -8859, 5830, -6302, 3064, -1565, 514, -154, 36, -5, 1], 'lmfdb_label': '103056.t1', '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: 2530718
    {'conductor': 103056, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '103056.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2530719
    {'conductor': 103056, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '103056.t1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2530720
    {'conductor': 103056, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '103056.t1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2530721
    {'conductor': 103056, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '103056.t1', 'prime': 113, '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

  
  {'adelic_gens': [[677, 2, 676, 3], [229, 2, 229, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 677, 0], [227, 2, 227, 3]], 'adelic_image': '678.2.0.?', 'conductor': 103056, 'lmfdb_label': '103056.t1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5363987
    {'lmfdb_iso': '103056.t', 'p': 5, 'prec': 20, 'unit': 15510654522391, 'val': 2}
  • id: 5363988
    {'lmfdb_iso': '103056.t', 'p': 7, 'prec': 20, 'unit': 8194795879365713, 'val': 2}
  • id: 5363989
    {'lmfdb_iso': '103056.t', 'p': 11, 'prec': 20, 'unit': 22452613310637356972, 'val': 2}
  • id: 5363990
    {'lmfdb_iso': '103056.t', 'p': 13, 'prec': 20, 'unit': 428991568052218173254, 'val': 2}
  • id: 5363991
    {'lmfdb_iso': '103056.t', 'p': 17, 'prec': 20, 'unit': 78569895624921497453285, 'val': 2}
  • id: 5363992
    {'lmfdb_iso': '103056.t', 'p': 23, 'prec': 20, 'unit': 70616803909966566941197913, 'val': 2}
  • id: 5363993
    {'lmfdb_iso': '103056.t', 'p': 29, 'prec': 20, 'unit': 2072808774741337101447784026, 'val': 2}
  • id: 5363994
    {'lmfdb_iso': '103056.t', 'p': 31, 'prec': 20, 'unit': 794595776913375167116818568, 'val': 2}
  • id: 5363995
    {'lmfdb_iso': '103056.t', 'p': 37, 'prec': 20, 'unit': 272382024570991746106107804762, 'val': 2}
  • id: 5363996
    {'lmfdb_iso': '103056.t', 'p': 41, 'prec': 20, 'unit': 2253363551581736792041335449978, 'val': 2}
  • id: 5363997
    {'lmfdb_iso': '103056.t', 'p': 43, 'prec': 20, 'unit': 811340466758948261454461873067, 'val': 2}
  • id: 5363998
    {'lmfdb_iso': '103056.t', 'p': 47, 'prec': 20, 'unit': 454273351165815165224873118233, 'val': 3}
  • id: 5363999
    {'lmfdb_iso': '103056.t', 'p': 53, 'prec': 20, 'unit': 139402545886320778049459510906979, 'val': 2}
  • id: 5364000
    {'lmfdb_iso': '103056.t', 'p': 59, 'prec': 20, 'unit': 442491282541525009465472884420660, 'val': 2}
  • id: 5364001
    {'lmfdb_iso': '103056.t', 'p': 61, 'prec': 20, 'unit': 3228087514352595399134194960089364, 'val': 2}
  • id: 5364002
    {'lmfdb_iso': '103056.t', 'p': 67, 'prec': 20, 'unit': 44826538147113324536770367068907913, 'val': 2}
  • id: 5364003
    {'lmfdb_iso': '103056.t', 'p': 71, 'prec': 20, 'unit': 72901009094078226340839252373031461, 'val': 2}
  • id: 5364004
    {'lmfdb_iso': '103056.t', 'p': 73, 'prec': 20, 'unit': 145076803027481138949897577275356487, 'val': 2}
  • id: 5364005
    {'lmfdb_iso': '103056.t', 'p': 79, 'prec': 20, 'unit': 425540682022796028540191250729626735, 'val': 2}
  • id: 5364006
    {'lmfdb_iso': '103056.t', 'p': 83, 'prec': 20, 'unit': 966670373702279558555532901634109982, 'val': 2}
  • id: 5364007
    {'lmfdb_iso': '103056.t', 'p': 89, 'prec': 20, 'unit': 200232756362796324802874140540420522, 'val': 2}
  • id: 5364008
    {'lmfdb_iso': '103056.t', 'p': 97, 'prec': 20, 'unit': 29847219702724201376760301782077747726, 'val': 2}