Elliptic curve data - 43200.jq1

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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': '43200bf', 'Clabel': '43200bf1', 'Cnumber': 1, 'abc_quality': 1.0365979245256867, 'absD': 33750000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 30, 'ainvs': [0, 0, 0, -18300, -993000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 43200, 'degree': 129024, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3569642306344428223494224008', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 250, 'isogeny_degrees': [1], 'jinv': [-1568892672, 78125], 'lmfdb_iso': '43200.jq', 'lmfdb_label': '43200.jq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -183, -993], 'min_quad_twist_disc': 40, 'modell_images': [], 'modm_images': ['30.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.865692301335156392618984604', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30003044821625587898079534293', 'prec': 107}, 'szpiro_ratio': 3.8543821870209545, '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, 0, 0, 4, 0, 0, 0, -2, 0, 4, 0, 0, 0, -1, 0, 5, 0], 'aplist': [0, 0, 0, 4, -2, 4, -1, 5, -5, -8, 7, -6, 6, -2, -8, 9, -4, -13, -10, -6, 6, 9, -17, -6, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 43200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '43200.jq', 'trace_hash': 1740864043808055976}
• 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': '0.066275932200097630516943773437', 'prec': 107}, 'conductor': 43200, 'gens': [[286299445, 4844249014475, 97]], 'heights': [{'__RealLiteral__': 0, 'data': '17.865692301335156392618984604', 'prec': 100}], 'lmfdb_label': '43200.jq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20464365198122609628771766970', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3122010354362041863163298251956062412', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '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, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '43200.jq1'}
• ec_torsion_growth •

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

  
  
  • id: 2115484
    {'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '43200.jq1', 'torsion': [2]}
  • id: 2115485
    {'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '43200.jq1', 'torsion': [2, 2]}
  • id: 2115486
    {'degree': 8, 'field': [-300, 0, -720, 0, 240, 0, -30, 0, 1], 'lmfdb_label': '43200.jq1', 'torsion': [3]}
  • id: 2115487
    {'degree': 12, 'field': [-135, 0, -432, 0, -243, 0, -36, 0, 18, 0, 6, 0, 1], 'lmfdb_label': '43200.jq1', '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: 1025496
    {'conductor': 43200, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '43200.jq1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1025497
    {'conductor': 43200, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '43200.jq1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1025498
    {'conductor': 43200, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '43200.jq1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• 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, 2, 0, 1], [1, 1, 29, 0], [1, 0, 2, 1], [7, 2, 7, 3], [11, 2, 11, 3], [29, 2, 28, 3]], 'adelic_image': '30.2.0.?', 'conductor': 43200, 'lmfdb_label': '43200.jq1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2151115
    {'lmfdb_iso': '43200.jq', 'p': 7, 'prec': 20, 'unit': 11027513596266528, 'val': 1}
  • id: 2151116
    {'lmfdb_iso': '43200.jq', 'p': 11, 'prec': 20, 'unit': 33027328528701054600, 'val': 1}
  • id: 2151117
    {'lmfdb_iso': '43200.jq', 'p': 13, 'prec': 20, 'unit': 35133390152893060529, 'val': 1}
  • id: 2151118
    {'lmfdb_iso': '43200.jq', 'p': 17, 'prec': 20, 'unit': 36404217077293861840112, 'val': 1}
  • id: 2151119
    {'lmfdb_iso': '43200.jq', 'p': 19, 'prec': 20, 'unit': 56880634151859327879175, 'val': 1}
  • id: 2151120
    {'lmfdb_iso': '43200.jq', 'p': 23, 'prec': 20, 'unit': 56596789282299532553914603, 'val': 1}
  • id: 2151121
    {'lmfdb_iso': '43200.jq', 'p': 29, 'prec': 20, 'unit': 1253648778089674245184329889, 'val': 1}
  • id: 2151122
    {'lmfdb_iso': '43200.jq', 'p': 31, 'prec': 20, 'unit': 16988638770474061623652143977, 'val': 1}
  • id: 2151123
    {'lmfdb_iso': '43200.jq', 'p': 37, 'prec': 20, 'unit': 420166585159065221946741642890, 'val': 1}
  • id: 2151124
    {'lmfdb_iso': '43200.jq', 'p': 41, 'prec': 20, 'unit': 2727092082811234384501399362094, 'val': 1}
  • id: 2151125
    {'lmfdb_iso': '43200.jq', 'p': 43, 'prec': 20, 'unit': 2477567444374241510238469475990, 'val': 1}
  • id: 2151126
    {'lmfdb_iso': '43200.jq', 'p': 47, 'prec': 20, 'unit': 11556464534364809033785813652729, 'val': 1}
  • id: 2151127
    {'lmfdb_iso': '43200.jq', 'p': 53, 'prec': 20, 'unit': 396558844666207143074432485507287, 'val': 1}
  • id: 2151128
    {'lmfdb_iso': '43200.jq', 'p': 59, 'prec': 20, 'unit': 1972448969611709326235673815207881, 'val': 1}
  • id: 2151129
    {'lmfdb_iso': '43200.jq', 'p': 61, 'prec': 20, 'unit': 2107825678042944369775591060261814, 'val': 1}
  • id: 2151130
    {'lmfdb_iso': '43200.jq', 'p': 67, 'prec': 20, 'unit': 44286709193019481068285903951237278, 'val': 1}
  • id: 2151131
    {'lmfdb_iso': '43200.jq', 'p': 71, 'prec': 20, 'unit': 125966796574617478249305070642684468, 'val': 1}
  • id: 2151132
    {'lmfdb_iso': '43200.jq', 'p': 73, 'prec': 20, 'unit': 21904008193253954851341709279721156, 'val': 1}
  • id: 2151133
    {'lmfdb_iso': '43200.jq', 'p': 79, 'prec': 20, 'unit': 334326830448193479766976736087564588, 'val': 1}
  • id: 2151134
    {'lmfdb_iso': '43200.jq', 'p': 83, 'prec': 20, 'unit': 1566709723548862209010429479973545558, 'val': 1}
  • id: 2151135
    {'lmfdb_iso': '43200.jq', 'p': 89, 'prec': 20, 'unit': 2522827122896995797933918108676173952, 'val': 1}
  • id: 2151136
    {'lmfdb_iso': '43200.jq', 'p': 97, 'prec': 20, 'unit': 19495682480723781631157075390995359978, 'val': 1}