Elliptic curve data - 93138.h1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '93138e', 'Clabel': '93138e1', 'Cnumber': 1, 'abc_quality': 0.8723825063703795, 'absD': 1490208, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1032, 'ainvs': [1, 1, 0, -444, -3792], 'analytic_rank': 1, 'bad_primes': [2, 3, 19, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 93138, 'degree': 24480, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.19658826015640206421234692187', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [26908709473, 4128], 'lmfdb_iso': '93138.h', 'lmfdb_label': '93138.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -444, -3792], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['1032.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9539844822342907110459370610', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 46569], [3, 4, 31046], [5, 2, 46569], [19, 74, 258], [43, 44, 2166]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29415156970467134578915765011', 'prec': 107}, 'szpiro_ratio': 2.613618108862664, '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, -1, -1, 1, 2, 1, 0, -1, 1, -2, 3, -1, 0, 0, -2, 1, 4, -1, 0, 2], 'aplist': [-1, -1, 2, 0, 3, 0, 4, 0, 2, -10, 5, -5, -2, 1, 0, 1, -12, 5, -4, -11, -4, -4, -12, 15, 13], 'class_deg': 1, 'class_size': 1, 'conductor': 93138, 'isogeny_matrix': [[1]], 'lmfdb_iso': '93138.h', 'trace_hash': 243505400424942507}
• 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': '0.67490960181659115611053124505', 'prec': 103}, 'conductor': 93138, 'gens': [[-619, 2386, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9539844822342907110459370610', 'prec': 100}], 'lmfdb_label': '93138.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0397538150586668312482626380', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1509242651445380622548265910182978769', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [1, 0], '7': [5, 1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [2, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '93138.h1'}
• ec_torsion_growth •

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

  
  
  • id: 4347183
    {'degree': 3, 'field': [-494, -171, 0, 1], 'lmfdb_label': '93138.h1', 'torsion': [2]}
  • id: 4347184
    {'degree': 6, 'field': [-258, 0, 1357, 0, -200, 0, 1], 'lmfdb_label': '93138.h1', 'torsion': [2, 2]}
  • id: 4347185
    {'degree': 8, 'field': [-87723, 0, -1368, 0, 1026, 0, 0, 0, 1], 'lmfdb_label': '93138.h1', 'torsion': [3]}
  • id: 4347186
    {'degree': 12, 'field': [-34019037882, -12286549082, -2438627561, -182976460, 46154933, 13252310, 1808895, 31160, -17461, -3382, -171, 0, 1], 'lmfdb_label': '93138.h1', '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: 2281275
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '93138.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2281276
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93138.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2281277
    {'conductor': 93138, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '93138.h1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2281278
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93138.h1', 'prime': 43, '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': [[775, 2, 0, 1], [689, 2, 689, 3], [1, 1, 1031, 0], [433, 2, 433, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1031, 2, 1030, 3], [517, 2, 517, 3]], 'adelic_image': '1032.2.0.?', 'conductor': 93138, 'lmfdb_label': '93138.h1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4835398
    {'lmfdb_iso': '93138.h', 'p': 5, 'prec': 20, 'unit': 4318737550697, 'val': 1}
  • id: 4835402
    {'lmfdb_iso': '93138.h', 'p': 11, 'prec': 20, 'unit': 46563861162286494731, 'val': 1}
  • id: 4835405
    {'lmfdb_iso': '93138.h', 'p': 17, 'prec': 20, 'unit': 31566932182908635112589, 'val': 1}
  • id: 4835409
    {'lmfdb_iso': '93138.h', 'p': 23, 'prec': 20, 'unit': 45321958327866576434226351, 'val': 1}
  • id: 4835403
    {'lmfdb_iso': '93138.h', 'p': 29, 'prec': 20, 'unit': 2101215277391892156010171678, 'val': 1}
  • id: 4835400
    {'lmfdb_iso': '93138.h', 'p': 31, 'prec': 20, 'unit': 19435696445458250694960481661, 'val': 1}
  • id: 4835413
    {'lmfdb_iso': '93138.h', 'p': 37, 'prec': 20, 'unit': 200406603065998726748403437759, 'val': 1}
  • id: 4835401
    {'lmfdb_iso': '93138.h', 'p': 41, 'prec': 20, 'unit': 1227690627302317919105724053586, 'val': 1}
  • id: 4835407
    {'lmfdb_iso': '93138.h', 'p': 53, 'prec': 20, 'unit': 16984341297527660074542872113081152, 'val': -1}
  • id: 4835411
    {'lmfdb_iso': '93138.h', 'p': 59, 'prec': 20, 'unit': 281396534817876740969464205064777, 'val': 1}
  • id: 4835412
    {'lmfdb_iso': '93138.h', 'p': 61, 'prec': 20, 'unit': 3779891507654677989194229114825174, 'val': 1}
  • id: 4835397
    {'lmfdb_iso': '93138.h', 'p': 67, 'prec': 20, 'unit': 29373749951851405348840755080087466, 'val': 1}
  • id: 4835399
    {'lmfdb_iso': '93138.h', 'p': 71, 'prec': 20, 'unit': 56525199889382151905770499110735278, 'val': 1}
  • id: 4835408
    {'lmfdb_iso': '93138.h', 'p': 73, 'prec': 20, 'unit': 28502272381312740377332231384840577, 'val': 1}
  • id: 4835404
    {'lmfdb_iso': '93138.h', 'p': 79, 'prec': 20, 'unit': 371356033310607678316556690593533669, 'val': 1}
  • id: 4835406
    {'lmfdb_iso': '93138.h', 'p': 83, 'prec': 20, 'unit': 1687122325454187615097442032878087607, 'val': 1}
  • id: 4835410
    {'lmfdb_iso': '93138.h', 'p': 89, 'prec': 20, 'unit': 3271569400922493740923022741092946112, 'val': 1}
  • id: 4835396
    {'lmfdb_iso': '93138.h', 'p': 97, 'prec': 20, 'unit': 8818276336885240754508362747559983166, 'val': 1}