Elliptic curve data - 40535.f1

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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': '40535h', 'Clabel': '40535h1', 'Cnumber': 1, 'abc_quality': 0.8528627284052749, 'absD': 359051125675, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 134, 'ainvs': [0, 1, 1, 1775, -1171], 'analytic_rank': 1, 'bad_primes': [5, 11, 67], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 40535, 'degree': 39072, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90667521436272307482915071129', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [2883584, 1675], 'lmfdb_iso': '40535.f', 'lmfdb_label': '40535.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 15, 6], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['134.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2098517461219954133161501736', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 8107], [5, 6, 8107], [11, 52, 335], [67, 68, 605]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69192163416952395454547834069', 'prec': 107}, 'szpiro_ratio': 3.2099868092082278, '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, -2, -2, 1, 0, 4, 0, 1, 0, 0, 4, -4, 0, -2, 4, 1, 0, 5, -2], 'aplist': [0, -2, 1, 4, 0, -4, 1, 5, 1, 7, 4, 6, 0, 0, -7, -6, -1, -8, -1, -5, 6, -2, -7, -6, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 40535, 'isogeny_matrix': [[1]], 'lmfdb_iso': '40535.f', 'trace_hash': 802469159283733453}
• 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': '0.16310674279608253273915025838', 'prec': 103}, 'conductor': 40535, 'gens': [[161, 2117, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2098517461219954133161501736', 'prec': 100}], 'lmfdb_label': '40535.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.56656026300814265102389987716', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1127235409024301120751143882008802839', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [161]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 6, 0], '3': [3, 0], '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 1, 0], '47': [1, 0], '67': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '40535.f1'}
• ec_torsion_growth •

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

  
  
  • id: 1992309
    {'degree': 3, 'field': [-132, -44, 0, 1], 'lmfdb_label': '40535.f1', 'torsion': [2]}
  • id: 1992310
    {'degree': 6, 'field': [167, -323, 300, 45, -20, -3, 1], 'lmfdb_label': '40535.f1', 'torsion': [2, 2]}
  • id: 1992311
    {'degree': 8, 'field': [-2028, 0, -937, 0, -156, 0, 0, 0, 1], 'lmfdb_label': '40535.f1', 'torsion': [3]}
  • id: 1992312
    {'degree': 12, 'field': [-558367, -744782, 32822, -2112, 104507, 51800, 25392, 8520, 985, 154, 66, -4, 1], 'lmfdb_label': '40535.f1', '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: 959111
    {'conductor': 40535, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '40535.f1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 959112
    {'conductor': 40535, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '40535.f1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 959113
    {'conductor': 40535, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '40535.f1', 'prime': 67, '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': [[1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 133, 0], [133, 2, 132, 3], [69, 2, 69, 3]], 'adelic_image': '134.2.0.?', 'conductor': 40535, 'lmfdb_label': '40535.f1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2008152
    {'lmfdb_iso': '40535.f', 'p': 7, 'prec': 20, 'unit': 4007347880718088, 'val': 1}
  • id: 2008156
    {'lmfdb_iso': '40535.f', 'p': 13, 'prec': 20, 'unit': 961312937927287181523, 'val': 1}
  • id: 2008158
    {'lmfdb_iso': '40535.f', 'p': 17, 'prec': 20, 'unit': 3038467242394442640085961, 'val': -1}
  • id: 2008159
    {'lmfdb_iso': '40535.f', 'p': 19, 'prec': 20, 'unit': 398644227615555527344588, 'val': 1}
  • id: 2008161
    {'lmfdb_iso': '40535.f', 'p': 23, 'prec': 20, 'unit': 1372830288863549713257264454, 'val': 0}
  • id: 2008155
    {'lmfdb_iso': '40535.f', 'p': 29, 'prec': 20, 'unit': 5969032821460862018795660115, 'val': 1}
  • id: 2008165
    {'lmfdb_iso': '40535.f', 'p': 31, 'prec': 20, 'unit': 8041968106085479220596916470, 'val': 1}
  • id: 2008151
    {'lmfdb_iso': '40535.f', 'p': 37, 'prec': 20, 'unit': 352033158427283652943244052348, 'val': 1}
  • id: 2008163
    {'lmfdb_iso': '40535.f', 'p': 47, 'prec': 20, 'unit': 45632132706179120367155191087138, 'val': 1}
  • id: 2008160
    {'lmfdb_iso': '40535.f', 'p': 53, 'prec': 20, 'unit': 330333719519499440177876624277383, 'val': 1}
  • id: 2008150
    {'lmfdb_iso': '40535.f', 'p': 59, 'prec': 20, 'unit': 3523499780891449201090718291597251, 'val': 1}
  • id: 2008164
    {'lmfdb_iso': '40535.f', 'p': 61, 'prec': 20, 'unit': 6686976894482240396343261338766142, 'val': 1}
  • id: 2008154
    {'lmfdb_iso': '40535.f', 'p': 71, 'prec': 20, 'unit': 55201435919263233142868587592730742, 'val': 1}
  • id: 2008153
    {'lmfdb_iso': '40535.f', 'p': 73, 'prec': 20, 'unit': 149135546979029849152219494122428638, 'val': 1}
  • id: 2008157
    {'lmfdb_iso': '40535.f', 'p': 79, 'prec': 20, 'unit': 570148514920190799409459851108009479, 'val': 1}
  • id: 2008149
    {'lmfdb_iso': '40535.f', 'p': 83, 'prec': 20, 'unit': 2351636555513013072504861243338885240, 'val': 1}
  • id: 2008162
    {'lmfdb_iso': '40535.f', 'p': 89, 'prec': 20, 'unit': 10878767940398717647927729534953221136, 'val': 1}
  • id: 2008148
    {'lmfdb_iso': '40535.f', 'p': 97, 'prec': 20, 'unit': 914603162749538269843570323567330226, 'val': 1}