Elliptic curve data - 3648.bh1

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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': '3648s', 'Clabel': '3648s1', 'Cnumber': 1, 'abc_quality': 0.8651174046959357, 'absD': 10944, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, 1, 0, -9, 9], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3648, 'degree': 320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.48997481899859998962047017486', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1], 'jinv': [-1404928, 171], 'lmfdb_iso': '3648.bh', 'lmfdb_label': '3648.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -2, 2], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], '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': '0.54560997785388006610934519637', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 1216], [19, 20, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83654840927857264432908623559', 'prec': 107}, 'szpiro_ratio': 2.256207593960863, '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, -5, 0, 1, 0, -1, 0, -2, 0, 3, 0, -1, 0, 1, 0], 'aplist': [0, 1, 3, -5, -1, -2, -1, 1, -4, 2, -6, 0, 0, 1, -9, -10, 8, 1, -8, -12, -11, 16, -12, -6, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 3648, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3648.bh', 'trace_hash': 551622546605050201}
• 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': '2.6643220579556157496655714882', 'prec': 100}, 'conductor': 3648, 'gens': [[0, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.54560997785388006610934519637', 'prec': 103}], 'lmfdb_label': '3648.bh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.9283349199750228483807793637', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2866774573803918760948665944178980160', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [0]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3648.bh1'}
• ec_torsion_growth •

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

  
  
  • id: 190606
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '3648.bh1', 'torsion': [2]}
  • id: 190607
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '3648.bh1', 'torsion': [2, 2]}
  • id: 190608
    {'degree': 8, 'field': [-2352, 0, 1304, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '3648.bh1', 'torsion': [3]}
  • id: 190609
    {'degree': 12, 'field': [-1539, 0, -800, 0, -365, 0, -172, 0, -61, 0, 4, 0, 1], 'lmfdb_label': '3648.bh1', '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: 67250
    {'conductor': 3648, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '3648.bh1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 67251
    {'conductor': 3648, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3648.bh1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 67252
    {'conductor': 3648, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3648.bh1', 'prime': 19, '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': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 3648, 'lmfdb_label': '3648.bh1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 123666
    {'lmfdb_iso': '3648.bh', 'p': 5, 'prec': 20, 'unit': 11071242716954, 'val': 1}
  • id: 123667
    {'lmfdb_iso': '3648.bh', 'p': 7, 'prec': 20, 'unit': 884157258720459, 'val': 1}
  • id: 123665
    {'lmfdb_iso': '3648.bh', 'p': 11, 'prec': 20, 'unit': 10139154805694618822, 'val': 1}
  • id: 123671
    {'lmfdb_iso': '3648.bh', 'p': 13, 'prec': 20, 'unit': 731939110159335894653, 'val': 1}
  • id: 123673
    {'lmfdb_iso': '3648.bh', 'p': 17, 'prec': 20, 'unit': 142416228474982038074992, 'val': 1}
  • id: 123677
    {'lmfdb_iso': '3648.bh', 'p': 23, 'prec': 20, 'unit': 27793533888850448155936006, 'val': 1}
  • id: 123670
    {'lmfdb_iso': '3648.bh', 'p': 29, 'prec': 20, 'unit': 3375811037207706539016349194, 'val': 1}
  • id: 123682
    {'lmfdb_iso': '3648.bh', 'p': 31, 'prec': 20, 'unit': 2989814428775556872473466391, 'val': 1}
  • id: 123669
    {'lmfdb_iso': '3648.bh', 'p': 43, 'prec': 20, 'unit': 462183900406850008121640141947830, 'val': -1}
  • id: 123680
    {'lmfdb_iso': '3648.bh', 'p': 47, 'prec': 20, 'unit': 24108094818281415848479901324270, 'val': 1}
  • id: 123675
    {'lmfdb_iso': '3648.bh', 'p': 53, 'prec': 20, 'unit': 269876761754835845519727825143828, 'val': 1}
  • id: 123676
    {'lmfdb_iso': '3648.bh', 'p': 59, 'prec': 20, 'unit': 3468036505025486263004381036633166, 'val': 1}
  • id: 123681
    {'lmfdb_iso': '3648.bh', 'p': 61, 'prec': 20, 'unit': 373704618489463939051512971651156104, 'val': -1}
  • id: 123674
    {'lmfdb_iso': '3648.bh', 'p': 67, 'prec': 20, 'unit': 31571729222681100468801723574943692, 'val': 1}
  • id: 123679
    {'lmfdb_iso': '3648.bh', 'p': 71, 'prec': 20, 'unit': 107076043538326744931809790739004812, 'val': 1}
  • id: 123668
    {'lmfdb_iso': '3648.bh', 'p': 73, 'prec': 20, 'unit': 79916095453938439074251659427624343, 'val': 1}
  • id: 123672
    {'lmfdb_iso': '3648.bh', 'p': 79, 'prec': 20, 'unit': 492075298470209783014811748502810104, 'val': 1}
  • id: 123664
    {'lmfdb_iso': '3648.bh', 'p': 83, 'prec': 20, 'unit': 249964178619782944973331617079749988, 'val': 1}
  • id: 123678
    {'lmfdb_iso': '3648.bh', 'p': 89, 'prec': 20, 'unit': 4910176269642808407221525522848071566, 'val': 1}
  • id: 123663
    {'lmfdb_iso': '3648.bh', 'p': 97, 'prec': 20, 'unit': 47122063575135972360204079993752695433, 'val': 1}