Elliptic curve data - 166464.fv6

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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': '166464ck', 'Clabel': '166464ck3', 'Cnumber': 3, 'abc_quality': 1.0301007930420596, 'absD': 13502368823158724474437632, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, 37617396, -152870471152], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 166464, 'degree': 28311552, 'elladic_images': ['16.48.0.132'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5061382825635804494774491055', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 151, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1276229915423, 2927177028], 'lmfdb_iso': '166464.fv', 'lmfdb_label': '166464.fv6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 226, -2232], 'min_quad_twist_disc': 408, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '16.48.0.y.2', '24.48.0-8.ba.2.8', '48.96.0-16.y.2.7', '68.12.0.h.1', '136.48.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '63.377924745051720244521292842', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2601], [3, 8, 18496], [17, 162, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099591', 'prec': 103}, 'szpiro_ratio': 5.408914398822253, '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, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 2, 0, -4, 2, 0, 4, 0, 10, 8, -2, 10, 12, 0, 6, -12, -10, -12, 0, -10, -8, -4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 166464, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '166464.fv', 'trace_hash': 536227648350780012}
• 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': '0.00090075562358798081441265586582', 'prec': 113}, 'conductor': 166464, 'gens': [[2950670917950800137415254336, 150690720142175500654147481063297524241084, 871704295305]], 'heights': [{'__RealLiteral__': 0, 'data': '63.377924745051720244521292842', 'prec': 100}], 'lmfdb_label': '166464.fv6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.036627486615062987506686866641', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2854963611594047527904274266699630961', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[3196, 0, 1]], 'xcoord_integral_points': [3196]}
• lmfdb_label 166464.fv6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7421011
    {'degree': 2, 'field': [-102, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [4]}
  • id: 7421012
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [4]}
  • id: 7421010
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [2, 2]}
  • id: 7421013
    {'degree': 4, 'field': [121, 0, 46, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [2, 4]}
  • id: 7421015
    {'degree': 4, 'field': [123, -30, 31, -2, 1], 'lmfdb_label': '166464.fv6', 'torsion': [8]}
  • id: 7421014
    {'degree': 4, 'field': [289, 0, -68, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [8]}
  • id: 7421020
    {'degree': 8, 'field': [-499392, 0, 13770, 0, 612, 0, -68, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [6]}
  • id: 7421017
    {'degree': 8, 'field': [4, 0, 90, 0, 5, 0, 6, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [8]}
  • id: 7421018
    {'degree': 8, 'field': [297, 468, 96, 72, 145, -12, 22, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [2, 8]}
  • id: 7421019
    {'degree': 8, 'field': [484, 0, 80, 0, 54, 0, -16, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [16]}
  • id: 7421016
    {'degree': 8, 'field': [1296, 0, 864, 0, 369, 0, 24, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [2, 4]}
  • id: 7421023
    {'degree': 16, 'field': [-6145703, 50656600, -1832480, -12472016, -2233632, -3601688, -2323184, -305184, 219958, 69768, 5408, 816, -784, -136, -16, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [16]}
  • id: 7421024
    {'degree': 16, 'field': [1089, 0, 6636, 0, 109840, 0, -25200, 0, 10719, 0, -2048, 0, 144, 0, -12, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [2, 16]}
  • id: 7421022
    {'degree': 16, 'field': [7396, 0, 14360, 0, 920, 0, -5460, 0, -547, 0, 600, 0, 134, 0, 20, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [2, 8]}
  • id: 7421021
    {'degree': 16, 'field': [9604, -43904, 100352, -81816, 22264, 29024, -16824, 9244, 1197, -1916, 360, -52, 58, -60, 32, -8, 1], 'lmfdb_label': '166464.fv6', 'torsion': [4, 4]}
  • id: 7421027
    {'degree': 16, 'field': [74805201, 0, -16876404, 0, 6143508, 0, -575964, 0, -35658, 0, 6564, 0, -396, 0, 12, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [12]}
  • id: 7421025
    {'degree': 16, 'field': [264485169, 0, -43492788, 0, 17643204, 0, -2300232, 0, 160338, 0, -2316, 0, 448, 0, 8, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [2, 6]}
  • id: 7421026
    {'degree': 16, 'field': [3078918144, 0, -3282670080, 0, 603432000, 0, -78681984, 0, 4896816, 0, -84966, 0, -2516, 0, 68, 0, 1], 'lmfdb_label': '166464.fv6', 'torsion': [12]}
• 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: 4120591
    {'conductor': 166464, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '166464.fv6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4120592
    {'conductor': 166464, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '166464.fv6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4120593
    {'conductor': 166464, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '166464.fv6', 'prime': 17, '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

  
  
  • id: 2739695
    {'adelic_gens': [[5, 4, 812, 813], [248, 543, 273, 806], [1, 16, 0, 1], [271, 0, 0, 815], [15, 2, 718, 803], [638, 333, 417, 386], [803, 528, 756, 695], [1, 0, 16, 1], [801, 16, 800, 17]], 'adelic_image': '816.192.1.?', 'conductor': 166464, 'lmfdb_label': '166464.fv6', 'prime': 0}
  • id: 631091
    {'conductor': 166464, 'elladic_image': '16.48.0.132', 'lmfdb_label': '166464.fv6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 166464.fv does not appear in ec_padic