Elliptic curve data - 84150.gx1

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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': '84150ea', 'Clabel': '84150ea1', 'Cnumber': 1, 'abc_quality': 1.0147643218544409, 'absD': 9079519885425000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, -1, 1, -6233255, -5986598753], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 84150, 'degree': 3686400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6096128949083676962219151188', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 179, 'isogeny_degrees': [1, 2], 'jinv': [63486961018176728187, 21521824913600], 'lmfdb_iso': '84150.gx', 'lmfdb_label': '84150.gx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -249330, -47842924], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '66.6.0.a.1', '88.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6530877742947545025658110853', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5302408665242900860727241430', 'prec': 100}, 'szpiro_ratio': 5.162962214801199, '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, 0, 1, 0, 0, 4, 1, 0, 0, -1, 0, 4, 4, 0, 1, 1, 0, -2, 0], 'aplist': [1, 0, 0, 4, -1, 4, 1, -2, 2, -2, 0, -10, -10, -2, -10, -10, 4, -4, 4, 6, -10, 8, -12, -8, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 84150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '84150.gx', 'trace_hash': 461392429921860176}
• 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': '0.0054115171567135618989405261620', 'prec': 110}, 'conductor': 84150, 'gens': [[19829, 2758960, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.6530877742947545025658110853', 'prec': 100}], 'lmfdb_label': '84150.gx1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.095549775709889066631020721266', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.963630453652314721865706699206016345', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-1421, 710, 1]], 'xcoord_integral_points': [-1421, 19829]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [5, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '84150.gx1'}
• ec_torsion_growth •

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

  
  
  • id: 3947345
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '84150.gx1', 'torsion': [2, 2]}
  • id: 3947346
    {'degree': 4, 'field': [231, -60, -12, 0, 1], 'lmfdb_label': '84150.gx1', 'torsion': [4]}
  • id: 3947349
    {'degree': 8, 'field': [-25076, 23615, -3557, -1798, 190, 212, -50, -1, 1], 'lmfdb_label': '84150.gx1', 'torsion': [6]}
  • id: 3947347
    {'degree': 8, 'field': [1936, 0, 1342, 0, 93, 0, -8, 0, 1], 'lmfdb_label': '84150.gx1', 'torsion': [2, 4]}
  • id: 3947348
    {'degree': 8, 'field': [3136, -15904, -316, 572, -296, 154, -19, -2, 1], 'lmfdb_label': '84150.gx1', 'torsion': [2, 4]}
  • id: 3947351
    {'degree': 16, 'field': [527076, 0, -101713689, 0, 16093242, 0, -329967, 0, 139755, 0, -32043, 0, 1947, 0, -66, 0, 1], 'lmfdb_label': '84150.gx1', 'torsion': [2, 6]}
  • id: 3947350
    {'degree': 16, 'field': [790683328060, -298959199440, 176253057784, 8600305552, 2503516024, 990267336, -126231548, -45440088, 6055717, -749104, -99752, 24832, -862, -344, 76, -8, 1], 'lmfdb_label': '84150.gx1', 'torsion': [8]}
• 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: 2050400
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '84150.gx1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2050401
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '84150.gx1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2050402
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '84150.gx1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2050403
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '84150.gx1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2050404
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '84150.gx1', 'prime': 17, 'reduction_type': 1, '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: 2218309
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [92, 1, 175, 0], [261, 4, 260, 5], [26, 1, 119, 0], [133, 4, 2, 9], [233, 34, 32, 231]], 'adelic_image': '264.12.0.?', 'conductor': 84150, 'lmfdb_label': '84150.gx1', 'prime': 0}
  • id: 344011
    {'conductor': 84150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '84150.gx1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4338732
    {'lmfdb_iso': '84150.gx', 'p': 7, 'prec': 20, 'unit': 3322978520461823, 'val': 1}
  • id: 4338736
    {'lmfdb_iso': '84150.gx', 'p': 13, 'prec': 20, 'unit': 1313436853221472167115, 'val': 1}
  • id: 4338739
    {'lmfdb_iso': '84150.gx', 'p': 19, 'prec': 20, 'unit': 1639218567049224171763254, 'val': 1}
  • id: 4338742
    {'lmfdb_iso': '84150.gx', 'p': 23, 'prec': 20, 'unit': 13916550875089542624503876, 'val': 1}
  • id: 4338735
    {'lmfdb_iso': '84150.gx', 'p': 29, 'prec': 20, 'unit': 1833257559320286747117559983, 'val': 1}
  • id: 4338731
    {'lmfdb_iso': '84150.gx', 'p': 37, 'prec': 20, 'unit': 305292970625427331035795923174, 'val': 1}
  • id: 4338733
    {'lmfdb_iso': '84150.gx', 'p': 41, 'prec': 20, 'unit': 2158445701317170751776326478973, 'val': 1}
  • id: 4338734
    {'lmfdb_iso': '84150.gx', 'p': 43, 'prec': 20, 'unit': 73865839198956190091268913618, 'val': 1}
  • id: 4338745
    {'lmfdb_iso': '84150.gx', 'p': 47, 'prec': 20, 'unit': 20538264286565129796318838975594, 'val': 1}
  • id: 4338740
    {'lmfdb_iso': '84150.gx', 'p': 53, 'prec': 20, 'unit': 191680429512759543097525635855703, 'val': 1}
  • id: 4338738
    {'lmfdb_iso': '84150.gx', 'p': 59, 'prec': 20, 'unit': 2103967632938419195990524484743903, 'val': 1}
  • id: 4338746
    {'lmfdb_iso': '84150.gx', 'p': 61, 'prec': 20, 'unit': 7247786644083960893725946385039246, 'val': 1}
  • id: 4338730
    {'lmfdb_iso': '84150.gx', 'p': 67, 'prec': 20, 'unit': 9884678011230118011062775859497832, 'val': 1}
  • id: 4338744
    {'lmfdb_iso': '84150.gx', 'p': 71, 'prec': 20, 'unit': 23990917759012274054021582876266536, 'val': 1}
  • id: 4338741
    {'lmfdb_iso': '84150.gx', 'p': 73, 'prec': 20, 'unit': 126160493496430093092407906582971567, 'val': 1}
  • id: 4338737
    {'lmfdb_iso': '84150.gx', 'p': 79, 'prec': 20, 'unit': 135933950709841660312329456355704293, 'val': 1}
  • id: 4338729
    {'lmfdb_iso': '84150.gx', 'p': 83, 'prec': 20, 'unit': 1356566234431462780370641193652184728, 'val': 1}
  • id: 4338743
    {'lmfdb_iso': '84150.gx', 'p': 89, 'prec': 20, 'unit': 1485993876860789042526127768852029698, 'val': 1}
  • id: 4338728
    {'lmfdb_iso': '84150.gx', 'p': 97, 'prec': 20, 'unit': 10020964048571506076338134977239942783, 'val': 1}