Elliptic curve data - 32634.bi1

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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': '32634ci', 'Clabel': '32634ci1', 'Cnumber': 1, 'abc_quality': 1.0959689233554826, 'absD': 523960665667616636928, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 888, 'ainvs': [1, -1, 1, -80402027, 277513097915], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 32634, 'degree': 6557760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1402547489315258706319086967', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1], 'jinv': [-670206957616537490521, 6109179936768], 'lmfdb_iso': '32634.bi', 'lmfdb_label': '32634.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -182317, 29887645], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['888.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.39195029042700745641024858849', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 16317], [3, 6, 3626], [7, 26, 666], [23, 2, 16317], [37, 38, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6179935300698143723816097065', 'prec': 100}, 'szpiro_ratio': 6.37165091179201, '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, 0, 1, -4, 0, 0, 1, 0, -4, -5, 0, -3, 0, 0, 1, 3, 0, 7, -4], 'aplist': [1, 0, -4, 0, -5, -3, 3, 7, -9, 0, 2, 1, 6, 4, -10, -3, -4, 2, 6, 12, -13, -6, 5, 11, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 32634, 'isogeny_matrix': [[1]], 'lmfdb_iso': '32634.bi', 'trace_hash': 2168641355781970508}
• 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': '0.0018724463437379615916876739213', 'prec': 110}, 'conductor': 32634, 'gens': [[5547, 43882, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.39195029042700745641024858849', 'prec': 103}], 'lmfdb_label': '32634.bi1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14855483959325260930155179032', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3568023521079837135055429875511986622', 'prec': 130}, 'tamagawa_product': 92, 'torsion_generators': [], 'xcoord_integral_points': [-1205, 2631, 5163, 5547]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '32634.bi1'}
• ec_torsion_growth •

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

  
  
  • id: 1624544
    {'degree': 3, 'field': [3, 9, -1, 1], 'lmfdb_label': '32634.bi1', 'torsion': [2]}
  • id: 1624545
    {'degree': 6, 'field': [366, -420, 223, -24, -2, 0, 1], 'lmfdb_label': '32634.bi1', 'torsion': [2, 2]}
  • id: 1624546
    {'degree': 8, 'field': [-1693, -2187, -710, 431, 192, -17, -10, -3, 1], 'lmfdb_label': '32634.bi1', 'torsion': [3]}
  • id: 1624547
    {'degree': 12, 'field': [-94098864, 114922640, -61235436, 17019264, -819316, -715916, 288809, 29388, 4031, -92, -1, -4, 1], 'lmfdb_label': '32634.bi1', '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: 763657
    {'conductor': 32634, 'conductor_valuation': 1, 'discriminant_valuation': 23, 'j_denominator_valuation': 23, 'kodaira_symbol': 27, 'lmfdb_label': '32634.bi1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 23}
  • id: 763658
    {'conductor': 32634, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '32634.bi1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 763659
    {'conductor': 32634, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '32634.bi1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 763660
    {'conductor': 32634, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32634.bi1', 'prime': 37, '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, 887, 0], [223, 2, 0, 1], [1, 0, 2, 1], [1, 2, 0, 1], [409, 2, 409, 3], [887, 2, 886, 3], [593, 2, 593, 3], [445, 2, 445, 3]], 'adelic_image': '888.2.0.?', 'conductor': 32634, 'lmfdb_label': '32634.bi1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1591444
    {'lmfdb_iso': '32634.bi', 'p': 5, 'prec': 20, 'unit': 9636808291234, 'val': 0}
  • id: 1591450
    {'lmfdb_iso': '32634.bi', 'p': 11, 'prec': 20, 'unit': 54093922476208623454, 'val': 1}
  • id: 1591448
    {'lmfdb_iso': '32634.bi', 'p': 13, 'prec': 20, 'unit': 308978046058518996396, 'val': 1}
  • id: 1591451
    {'lmfdb_iso': '32634.bi', 'p': 17, 'prec': 20, 'unit': 14444677971332259657726, 'val': 1}
  • id: 1591452
    {'lmfdb_iso': '32634.bi', 'p': 19, 'prec': 20, 'unit': 212871815638349604749892, 'val': 1}
  • id: 1591456
    {'lmfdb_iso': '32634.bi', 'p': 23, 'prec': 20, 'unit': 1172436571335342366910346247, 'val': 0}
  • id: 1591460
    {'lmfdb_iso': '32634.bi', 'p': 31, 'prec': 20, 'unit': 1822250636277438328669025684, 'val': 1}
  • id: 1591446
    {'lmfdb_iso': '32634.bi', 'p': 41, 'prec': 20, 'unit': 2715835484510929039209620569900, 'val': 1}
  • id: 1591447
    {'lmfdb_iso': '32634.bi', 'p': 43, 'prec': 20, 'unit': 10208661394863878254107238372602, 'val': 1}
  • id: 1591458
    {'lmfdb_iso': '32634.bi', 'p': 47, 'prec': 20, 'unit': 956636845710043561613445278951, 'val': 1}
  • id: 1591453
    {'lmfdb_iso': '32634.bi', 'p': 53, 'prec': 20, 'unit': 521106051719242221914067937868233, 'val': 1}
  • id: 1591454
    {'lmfdb_iso': '32634.bi', 'p': 59, 'prec': 20, 'unit': 3696071813726539427160876674295378, 'val': 1}
  • id: 1591459
    {'lmfdb_iso': '32634.bi', 'p': 61, 'prec': 20, 'unit': 4720399569077643152950678337980514, 'val': 1}
  • id: 1591443
    {'lmfdb_iso': '32634.bi', 'p': 67, 'prec': 20, 'unit': 28162352850687231045994835424867513, 'val': 1}
  • id: 1591445
    {'lmfdb_iso': '32634.bi', 'p': 71, 'prec': 20, 'unit': 64417142125856876828326137903383029, 'val': 1}
  • id: 1591455
    {'lmfdb_iso': '32634.bi', 'p': 73, 'prec': 20, 'unit': 120475327333429192817958067203578745, 'val': 1}
  • id: 1591449
    {'lmfdb_iso': '32634.bi', 'p': 79, 'prec': 20, 'unit': 774181581771271907142367857923604902, 'val': 1}
  • id: 1591442
    {'lmfdb_iso': '32634.bi', 'p': 83, 'prec': 20, 'unit': 2457403840921643694861001140033485398, 'val': 1}
  • id: 1591457
    {'lmfdb_iso': '32634.bi', 'p': 89, 'prec': 20, 'unit': 7899410833156396963400728794650801732, 'val': 1}
  • id: 1591441
    {'lmfdb_iso': '32634.bi', 'p': 97, 'prec': 20, 'unit': 8455722866508240128990256318694631820, 'val': 1}