Elliptic curve data - 78400.y1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '78400fv', 'Clabel': '78400fv1', 'Cnumber': 1, 'abc_quality': 1.1259748817682123, 'absD': 1934346231480320000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, 0, 0, -563500, -176027600], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 78400, 'degree': 2433024, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2497790294492942866439203330', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [-1026590625, 100352], 'lmfdb_iso': '78400.y', 'lmfdb_label': '78400.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -180, 1047], 'min_quad_twist_disc': -56, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6524856008056321160321865746', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29937612006298045490152399865', 'prec': 107}, 'szpiro_ratio': 4.56942067778573, '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, -3, 0, 0, 0, 0, 0, 6, 0, 5, 0, -6, 0, 0, 0, 1, 0, -3, 0], 'aplist': [0, -3, 0, 0, 5, -6, 1, -3, 0, 6, 4, -8, -11, 8, -2, -4, 4, -2, -9, -10, 7, -2, 11, 11, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 78400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '78400.y', 'trace_hash': 377248512502353198}
• 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': '0.011113907145427642054077750175', 'prec': 107}, 'conductor': 78400, 'gens': [[1526, 50176, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6524856008056321160321865746', 'prec': 100}], 'lmfdb_label': '78400.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.086644952805889790788035256225', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4363088854611943472822123245406395031', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [1044, 1526]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 3, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '78400.y1'}
• ec_torsion_growth •

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

  
  
  • id: 3701333
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '78400.y1', 'torsion': [2]}
  • id: 3701334
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '78400.y1', 'torsion': [2, 2]}
  • id: 3701335
    {'degree': 8, 'field': [-588, 0, -546, 0, -84, 0, 0, 0, 1], 'lmfdb_label': '78400.y1', 'torsion': [3]}
  • id: 3701336
    {'degree': 12, 'field': [-182, -721, -985, -689, -411, -338, -258, -178, -100, -33, -9, -1, 1], 'lmfdb_label': '78400.y1', '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: 1908498
    {'conductor': 78400, 'conductor_valuation': 6, 'discriminant_valuation': 29, 'j_denominator_valuation': 11, 'kodaira_symbol': -23, 'lmfdb_label': '78400.y1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1908499
    {'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '78400.y1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1908500
    {'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '78400.y1', 'prime': 7, '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

  
  
  • id: 2181957
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 78400, 'lmfdb_label': '78400.y1', 'prime': 0}
  • id: 323494
    {'conductor': 78400, 'elladic_image': '8.2.0.1', 'lmfdb_label': '78400.y1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4037828
    {'lmfdb_iso': '78400.y', 'p': 11, 'prec': 20, 'unit': 57984603042349640169, 'val': 1}
  • id: 4037834
    {'lmfdb_iso': '78400.y', 'p': 13, 'prec': 20, 'unit': 1142043591465389946186, 'val': 1}
  • id: 4037836
    {'lmfdb_iso': '78400.y', 'p': 17, 'prec': 20, 'unit': 3299069178185306689198670, 'val': -1}
  • id: 4037837
    {'lmfdb_iso': '78400.y', 'p': 19, 'prec': 20, 'unit': 1430890408361961700111242, 'val': 1}
  • id: 4037833
    {'lmfdb_iso': '78400.y', 'p': 29, 'prec': 20, 'unit': 4962611541045185757147883311, 'val': 1}
  • id: 4037845
    {'lmfdb_iso': '78400.y', 'p': 31, 'prec': 20, 'unit': 7097868991688776774570747377, 'val': 1}
  • id: 4037829
    {'lmfdb_iso': '78400.y', 'p': 37, 'prec': 20, 'unit': 341483693310335385652493948559, 'val': 1}
  • id: 4037831
    {'lmfdb_iso': '78400.y', 'p': 41, 'prec': 20, 'unit': 778087462594020213057797918237, 'val': 1}
  • id: 4037832
    {'lmfdb_iso': '78400.y', 'p': 43, 'prec': 20, 'unit': 1253058110412516215513858644550, 'val': 1}
  • id: 4037843
    {'lmfdb_iso': '78400.y', 'p': 47, 'prec': 20, 'unit': 18572518377755220660429570618691, 'val': 1}
  • id: 4037838
    {'lmfdb_iso': '78400.y', 'p': 53, 'prec': 20, 'unit': 8506847609684467493016381365814, 'val': 2}
  • id: 4037839
    {'lmfdb_iso': '78400.y', 'p': 59, 'prec': 20, 'unit': 2679456600712654569145743076193630, 'val': 1}
  • id: 4037844
    {'lmfdb_iso': '78400.y', 'p': 61, 'prec': 20, 'unit': 6426072891420675562458822690483880, 'val': 1}
  • id: 4037827
    {'lmfdb_iso': '78400.y', 'p': 67, 'prec': 20, 'unit': 44021844826869660184933725212818944, 'val': 1}
  • id: 4037830
    {'lmfdb_iso': '78400.y', 'p': 71, 'prec': 20, 'unit': 102690966339257960968554309748277513, 'val': 1}
  • id: 4037840
    {'lmfdb_iso': '78400.y', 'p': 73, 'prec': 20, 'unit': 76124263098225194407758174006457173, 'val': 1}
  • id: 4037835
    {'lmfdb_iso': '78400.y', 'p': 79, 'prec': 20, 'unit': 123205929504900398979103134248649653, 'val': 1}
  • id: 4037841
    {'lmfdb_iso': '78400.y', 'p': 83, 'prec': 20, 'unit': 51415543593148915936830475535225859, 'val': 1}
  • id: 4037842
    {'lmfdb_iso': '78400.y', 'p': 89, 'prec': 20, 'unit': 8927499719432673461945314301468531128, 'val': 1}
  • id: 4037826
    {'lmfdb_iso': '78400.y', 'p': 97, 'prec': 20, 'unit': 24091994572583400777118689353900964181, 'val': 1}