Elliptic curve data - 45662.i1

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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': '45662f', 'Clabel': '45662f1', 'Cnumber': 1, 'abc_quality': 0.9406342793009744, 'absD': 7627471804, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 316, 'ainvs': [1, 0, 1, -1018, 11680], 'analytic_rank': 2, 'bad_primes': [2, 17, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 45662, 'degree': 39424, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64604155142727748786023310967', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [4826809, 316], 'lmfdb_iso': '45662.i', 'lmfdb_label': '45662.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3, 1], 'min_quad_twist_disc': 17, 'modell_images': [], 'modm_images': ['316.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.6708665764028268155812488554', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 22831], [17, 146, 158], [79, 80, 578]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77056512060083055226453419927', 'prec': 107}, 'szpiro_ratio': 3.018819147815732, '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, 1, -1, 3, -1, -2, -1, -4, 1, -7, -3, 1, 1, 0, 2, -6, 1], 'aplist': [-1, 1, 1, 3, -4, -7, 0, -6, -6, -4, -8, -10, 8, -8, -3, 2, 1, 0, -4, 11, 6, 1, 6, -15, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 45662, 'isogeny_matrix': [[1]], 'lmfdb_iso': '45662.i', 'trace_hash': 22909489807894465}
• 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': '0.27469796256489522603406170175', 'prec': 103}, 'conductor': 45662, 'gens': [[-10, 149, 1], [199, -23, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '0.81203592067784807018692977643', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.0606329708411615312014745279', 'prec': 100}], 'lmfdb_label': '45662.i1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.2945544237990170383146734714', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6521108722407909884403031381977338612', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-10, 5, 11, 26]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': [2, 0], '5': [4, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': 'a', '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [4, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0], '79': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '45662.i1'}
• ec_torsion_growth •

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

  
  
  • id: 2230378
    {'degree': 3, 'field': [2, -4, -1, 1], 'lmfdb_label': '45662.i1', 'torsion': [2]}
  • id: 2230379
    {'degree': 6, 'field': [8, -8, -34, 54, -17, -2, 1], 'lmfdb_label': '45662.i1', 'torsion': [2, 2]}
  • id: 2230380
    {'degree': 8, 'field': [18954, 36207, 18252, 3447, 617, 173, 3, -2, 1], 'lmfdb_label': '45662.i1', 'torsion': [3]}
  • id: 2230381
    {'degree': 12, 'field': [1366172, 438004, -593164, 49300, 31291, -21013, 16263, -386, -1052, -70, 21, -1, 1], 'lmfdb_label': '45662.i1', '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: 1088132
    {'conductor': 45662, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '45662.i1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1088133
    {'conductor': 45662, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '45662.i1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1088134
    {'conductor': 45662, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '45662.i1', 'prime': 79, '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, 1, 315, 0], [315, 2, 314, 3], [161, 2, 161, 3], [159, 2, 159, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '316.2.0.?', 'conductor': 45662, 'lmfdb_label': '45662.i1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2285428
    {'lmfdb_iso': '45662.i', 'p': 5, 'prec': 20, 'unit': 100211886723, 'val': 2}
  • id: 2285429
    {'lmfdb_iso': '45662.i', 'p': 7, 'prec': 20, 'unit': 10894311367693736, 'val': 2}
  • id: 2285435
    {'lmfdb_iso': '45662.i', 'p': 11, 'prec': 20, 'unit': 7772349377984372178, 'val': 2}
  • id: 2285433
    {'lmfdb_iso': '45662.i', 'p': 13, 'prec': 20, 'unit': 1311455586526220176315, 'val': 2}
  • id: 2285436
    {'lmfdb_iso': '45662.i', 'p': 19, 'prec': 20, 'unit': 446486513216644674552150, 'val': 2}
  • id: 2285439
    {'lmfdb_iso': '45662.i', 'p': 23, 'prec': 20, 'unit': 617663040947138117077588, 'val': 2}
  • id: 2285443
    {'lmfdb_iso': '45662.i', 'p': 29, 'prec': 20, 'unit': 3480241534877748551431975528, 'val': 2}
  • id: 2285430
    {'lmfdb_iso': '45662.i', 'p': 31, 'prec': 20, 'unit': 21177833031448771379466931815, 'val': 2}
  • id: 2285444
    {'lmfdb_iso': '45662.i', 'p': 37, 'prec': 20, 'unit': 9880683753587806308830021455, 'val': 3}
  • id: 2285431
    {'lmfdb_iso': '45662.i', 'p': 41, 'prec': 20, 'unit': 3858017205106732559372596531824, 'val': 2}
  • id: 2285432
    {'lmfdb_iso': '45662.i', 'p': 43, 'prec': 20, 'unit': 7515753738726942270323353981054, 'val': 2}
  • id: 2285434
    {'lmfdb_iso': '45662.i', 'p': 47, 'prec': 20, 'unit': 48146526252413975468193310832472, 'val': 2}
  • id: 2285437
    {'lmfdb_iso': '45662.i', 'p': 53, 'prec': 20, 'unit': 358215621950473810664476874464435, 'val': 2}
  • id: 2285442
    {'lmfdb_iso': '45662.i', 'p': 59, 'prec': 20, 'unit': 24804778563248320378508296686274, 'val': 0}
  • id: 2285427
    {'lmfdb_iso': '45662.i', 'p': 67, 'prec': 20, 'unit': 32296579790051871408114860434868647, 'val': 2}
  • id: 2285441
    {'lmfdb_iso': '45662.i', 'p': 71, 'prec': 20, 'unit': 90841128622065092928782398214153949, 'val': 2}
  • id: 2285438
    {'lmfdb_iso': '45662.i', 'p': 73, 'prec': 20, 'unit': 158197233066488891289069135813918801, 'val': 2}
  • id: 2285426
    {'lmfdb_iso': '45662.i', 'p': 83, 'prec': 20, 'unit': 967288635773471404626908975548945493, 'val': 2}
  • id: 2285440
    {'lmfdb_iso': '45662.i', 'p': 89, 'prec': 20, 'unit': 8987280507994118185365013627098160772, 'val': 2}
  • id: 2285425
    {'lmfdb_iso': '45662.i', 'p': 97, 'prec': 20, 'unit': 43295386044074758674143804022239727731, 'val': 2}