Elliptic curve data - 3757.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3757a', 'Clabel': '3757a1', 'Cnumber': 1, 'abc_quality': 0.8814393966243115, 'absD': 69347235737, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1768, 'ainvs': [1, 0, 1, -17202, 866831], 'analytic_rank': 1, 'bad_primes': [13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3757, 'degree': 6912, 'elladic_images': ['8.12.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1035882084498402425902148054', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [23320116793, 2873], 'lmfdb_iso': '3757.d', 'lmfdb_label': '3757.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -59, 152], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.4', '34.6.0.a.1', '68.12.0.e.1', '136.24.0.?', '884.24.0.?', '1768.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1390562506304487480715470227', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31301846357826779753455250354', 'prec': 107}, 'szpiro_ratio': 4.965374202896066, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -2, -1, -2, -2, -2, -3, 1, -2, 6, 2, -1, -2, 4, -1, 0, 1, 4, 2], 'aplist': [1, -2, -2, -2, 6, -1, 0, 4, -6, 6, 2, -2, 6, 0, -4, 14, 4, -2, 0, 10, -10, -14, 12, -18, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 3757, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3757.d', 'trace_hash': 2218412935780723139}
• 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': '0.11001083512550550970957666673', 'prec': 103}, 'conductor': 3757, 'gens': [[143, 1084, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1390562506304487480715470227', 'prec': 100}], 'lmfdb_label': '3757.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0555635842352653078696919478', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4046925971221183190563695626580900739', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[75, -38, 1]], 'xcoord_integral_points': [11, 75, 143]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3757.d1'}
• ec_torsion_growth •

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

  
  
  • id: 196195
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '3757.d1', 'torsion': [2, 2]}
  • id: 196196
    {'degree': 4, 'field': [1, -2, 1, 0, 1], 'lmfdb_label': '3757.d1', 'torsion': [4]}
  • id: 196199
    {'degree': 8, 'field': [-339, 273, -330, 113, -53, -7, 7, -4, 1], 'lmfdb_label': '3757.d1', 'torsion': [6]}
  • id: 196198
    {'degree': 8, 'field': [1, 0, 5, 0, 4, 0, 5, 0, 1], 'lmfdb_label': '3757.d1', 'torsion': [2, 4]}
  • id: 196197
    {'degree': 8, 'field': [23104, 0, -2044, 0, -521, 0, -4, 0, 1], 'lmfdb_label': '3757.d1', 'torsion': [2, 4]}
  • id: 196202
    {'degree': 16, 'field': [-373, 2153, -3167, -3168, 11335, -6338, -5138, 8657, -5205, 1583, -139, -47, -13, 21, -1, -4, 1], 'lmfdb_label': '3757.d1', 'torsion': [2, 6]}
  • id: 196201
    {'degree': 16, 'field': [551345, 825836, 36350, -510604, -365492, -129828, 98334, 135500, 24373, -26108, -9694, 1828, 1084, -40, -52, 0, 1], 'lmfdb_label': '3757.d1', 'torsion': [8]}
  • id: 196200
    {'degree': 16, 'field': [1062470317, 25489102, 37524090, 34734542, -18376044, 702100, -62804, -78754, 219701, -4452, 636, -666, -712, -2, 2, 0, 1], 'lmfdb_label': '3757.d1', 'torsion': [4, 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: 69521
    {'conductor': 3757, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3757.d1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 69522
    {'conductor': 3757, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3757.d1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1688396
    {'adelic_gens': [[1, 0, 8, 1], [1327, 8, 888, 33], [885, 8, 0, 1], [1, 8, 0, 1], [1639, 6, 1626, 1763], [1, 4, 4, 17], [1761, 8, 1760, 9], [3, 8, 28, 75], [928, 1765, 1243, 1766], [5, 8, 48, 77]], 'adelic_image': '1768.48.0.?', 'conductor': 3757, 'lmfdb_label': '3757.d1', 'prime': 0}
  • id: 18776
    {'conductor': 3757, 'elladic_image': '8.12.0.24', 'lmfdb_label': '3757.d1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 128214
    {'lmfdb_iso': '3757.d', 'p': 5, 'prec': 20, 'unit': 1469021722673, 'val': 2}
  • id: 128215
    {'lmfdb_iso': '3757.d', 'p': 7, 'prec': 20, 'unit': 4376857518644434, 'val': 1}
  • id: 128218
    {'lmfdb_iso': '3757.d', 'p': 11, 'prec': 20, 'unit': 12327549380607411622, 'val': 1}
  • id: 128211
    {'lmfdb_iso': '3757.d', 'p': 19, 'prec': 20, 'unit': 195806111618042744701968, 'val': 1}
  • id: 128224
    {'lmfdb_iso': '3757.d', 'p': 23, 'prec': 20, 'unit': 61667364366029936493191194, 'val': 1}
  • id: 128219
    {'lmfdb_iso': '3757.d', 'p': 29, 'prec': 20, 'unit': 1390253191904133266428024292, 'val': 1}
  • id: 128216
    {'lmfdb_iso': '3757.d', 'p': 31, 'prec': 20, 'unit': 38054080904804132876479061, 'val': 1}
  • id: 128229
    {'lmfdb_iso': '3757.d', 'p': 37, 'prec': 20, 'unit': 154570657988412550839678886553, 'val': 1}
  • id: 128217
    {'lmfdb_iso': '3757.d', 'p': 41, 'prec': 20, 'unit': 4362172978088493305798296791584, 'val': 1}
  • id: 128227
    {'lmfdb_iso': '3757.d', 'p': 47, 'prec': 20, 'unit': 34455005732280728497965044534531, 'val': 1}
  • id: 128222
    {'lmfdb_iso': '3757.d', 'p': 53, 'prec': 20, 'unit': 57741443409207535730057390888615, 'val': 1}
  • id: 128213
    {'lmfdb_iso': '3757.d', 'p': 59, 'prec': 20, 'unit': 1704590330268845914298284549053850, 'val': 1}
  • id: 128228
    {'lmfdb_iso': '3757.d', 'p': 61, 'prec': 20, 'unit': 6295331791505057578585682025629263, 'val': 1}
  • id: 128226
    {'lmfdb_iso': '3757.d', 'p': 71, 'prec': 20, 'unit': 10286184730353838216912803216147059, 'val': 1}
  • id: 128223
    {'lmfdb_iso': '3757.d', 'p': 73, 'prec': 20, 'unit': 81497913063811485285555068176420293, 'val': 1}
  • id: 128220
    {'lmfdb_iso': '3757.d', 'p': 79, 'prec': 20, 'unit': 1117530607631047459319761268725781877, 'val': 1}
  • id: 128221
    {'lmfdb_iso': '3757.d', 'p': 83, 'prec': 20, 'unit': 2585535464357053166091919062804854827, 'val': 1}
  • id: 128225
    {'lmfdb_iso': '3757.d', 'p': 89, 'prec': 20, 'unit': 9033104770336558842021241486533614182, 'val': 1}
  • id: 128212
    {'lmfdb_iso': '3757.d', 'p': 97, 'prec': 20, 'unit': 26639512840898475668120945794766278500, 'val': 1}