Elliptic curve data - 38808.d1

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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': '38808bq', 'Clabel': '38808bq1', 'Cnumber': 1, 'abc_quality': 0.4760607180717437, 'absD': 139793288198256, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 462, 'ainvs': [0, 0, 0, 9261, -453789], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 38808, 'degree': 107520, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3994559737669316410885285218', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [6912, 11], 'lmfdb_iso': '38808.d', 'lmfdb_label': '38808.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 21, -49], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['462.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5691877083081024066508042660', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 231], [3, 2, 4312], [7, 20, 792], [11, 12, 3528]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1149849147122840427593306706', 'prec': 103}, 'szpiro_ratio': 3.74526701017277, '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, -3, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 4, 0, -5, 0], 'aplist': [0, 0, -3, 0, -1, -1, 4, -5, -6, 3, 2, -11, 0, 6, 3, 8, -5, 10, 5, 0, -3, -6, 16, -14, 18], 'class_deg': 1, 'class_size': 1, 'conductor': 38808, 'isogeny_matrix': [[1]], 'lmfdb_iso': '38808.d', 'trace_hash': 873880573385986991}
• 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': '0.060876263172126418601150225725', 'prec': 107}, 'conductor': 38808, 'gens': [[49, 343, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5691877083081024066508042660', 'prec': 100}], 'lmfdb_label': '38808.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30697026478968795173563180027', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8535517305924945309695054910800273577', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [49, 478]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '38808.d1'}
• ec_torsion_growth •

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

  
  
  • id: 1913835
    {'degree': 3, 'field': [3, 0, -1, 1], 'lmfdb_label': '38808.d1', 'torsion': [2]}
  • id: 1913836
    {'degree': 6, 'field': [81, 27, 42, 15, 4, -2, 1], 'lmfdb_label': '38808.d1', 'torsion': [2, 2]}
  • id: 1913837
    {'degree': 8, 'field': [8481, -4812, 2556, -1114, 196, -82, 4, -4, 1], 'lmfdb_label': '38808.d1', 'torsion': [3]}
  • id: 1913838
    {'degree': 12, 'field': [-597677, -62698, -187308, 166726, -13031, 41826, -33044, 12144, -2784, 248, 16, -6, 1], 'lmfdb_label': '38808.d1', '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: 916633
    {'conductor': 38808, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '38808.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 916634
    {'conductor': 38808, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '38808.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 916635
    {'conductor': 38808, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '38808.d1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 916636
    {'conductor': 38808, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '38808.d1', 'prime': 11, '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': [[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.d1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1915946
    {'lmfdb_iso': '38808.d', 'p': 5, 'prec': 20, 'unit': 5584459704007, 'val': 1}
  • id: 1915951
    {'lmfdb_iso': '38808.d', 'p': 13, 'prec': 20, 'unit': 1209057354601807082811, 'val': 1}
  • id: 1915953
    {'lmfdb_iso': '38808.d', 'p': 17, 'prec': 20, 'unit': 77029270264632061949095, 'val': 1}
  • id: 1915954
    {'lmfdb_iso': '38808.d', 'p': 19, 'prec': 20, 'unit': 769520753987816928305894, 'val': 1}
  • id: 1915957
    {'lmfdb_iso': '38808.d', 'p': 23, 'prec': 20, 'unit': 74493958914143683098499803, 'val': 1}
  • id: 1915950
    {'lmfdb_iso': '38808.d', 'p': 29, 'prec': 20, 'unit': 1008928194835583191929209809, 'val': 1}
  • id: 1915947
    {'lmfdb_iso': '38808.d', 'p': 31, 'prec': 20, 'unit': 15252476578940009641961270764, 'val': 1}
  • id: 1915961
    {'lmfdb_iso': '38808.d', 'p': 37, 'prec': 20, 'unit': 584910129566542130335122051263, 'val': 1}
  • id: 1915949
    {'lmfdb_iso': '38808.d', 'p': 43, 'prec': 20, 'unit': 6684448881165426262239350882481, 'val': 1}
  • id: 1915959
    {'lmfdb_iso': '38808.d', 'p': 47, 'prec': 20, 'unit': 42606785305041652322204958558005, 'val': 1}
  • id: 1915955
    {'lmfdb_iso': '38808.d', 'p': 53, 'prec': 20, 'unit': 522581667332154654386992121111106, 'val': 1}
  • id: 1915956
    {'lmfdb_iso': '38808.d', 'p': 59, 'prec': 20, 'unit': 2421214717573024320936453141452706, 'val': 1}
  • id: 1915960
    {'lmfdb_iso': '38808.d', 'p': 61, 'prec': 20, 'unit': 7266058136043188759969392651612472, 'val': 1}
  • id: 1915945
    {'lmfdb_iso': '38808.d', 'p': 67, 'prec': 20, 'unit': 22381372679607536346719873463243895, 'val': 1}
  • id: 1915948
    {'lmfdb_iso': '38808.d', 'p': 73, 'prec': 20, 'unit': 164942461309058438878508946129650354, 'val': 1}
  • id: 1915952
    {'lmfdb_iso': '38808.d', 'p': 79, 'prec': 20, 'unit': 745597360240294540562525018046065998, 'val': 1}
  • id: 1915944
    {'lmfdb_iso': '38808.d', 'p': 83, 'prec': 20, 'unit': 2479919768081673228279051386375684389, 'val': 1}
  • id: 1915958
    {'lmfdb_iso': '38808.d', 'p': 89, 'prec': 20, 'unit': 8181002231077105486128561899645009369, 'val': 1}
  • id: 1915943
    {'lmfdb_iso': '38808.d', 'p': 97, 'prec': 20, 'unit': 50619486896104249036851200913468186713, 'val': 1}