Elliptic curve data - 16184.c2

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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': '16184a', 'Clabel': '16184a1', 'Cnumber': 1, 'abc_quality': 1.0348177494302118, 'absD': 173018094592, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -96, -20048], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 16184, 'degree': 20480, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83536424618799273670482640881', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [-4, 7], 'lmfdb_iso': '16184.c', 'lmfdb_label': '16184.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -4], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '56.12.0.n.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.2168438464756591349971907070', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2023], [7, 8, 2312], [17, 146, 56]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1588650763067363946009676680', 'prec': 103}, 'szpiro_ratio': 3.4391740399541564, '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, -2, 0, 4, 0, -1, 0, 1, 0, 0, 0, 0, 0, -8, 0, 0, 0, -2, 0], 'aplist': [0, -2, 4, -1, 0, 0, 0, -2, -8, -2, -4, 6, 2, 8, -4, -10, 6, -4, -12, 0, 14, 8, 6, 10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 16184, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '16184.c', 'trace_hash': 1133640444440769283}
• 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': '0.18810997902596610542655802947', 'prec': 103}, 'conductor': 16184, 'gens': [[18012, 1601120, 23]], 'heights': [{'__RealLiteral__': 0, 'data': '9.2168438464756591349971907070', 'prec': 100}], 'lmfdb_label': '16184.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.45985681750360235995479445438', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2384284786679575902167485904252823468', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[28, 0, 1]], 'xcoord_integral_points': [28]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 1, 0], '13': [3, 3, 0], '17': 'a', '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': '16184.c2'}
• ec_torsion_growth •

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

  
  
  • id: 829164
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '16184.c2', 'torsion': [2, 2]}
  • id: 829165
    {'degree': 4, 'field': [-137, 26, 9, -2, 1], 'lmfdb_label': '16184.c2', 'torsion': [4]}
  • id: 829168
    {'degree': 8, 'field': [-3357, -1530, -2874, -714, -138, -68, -6, 0, 1], 'lmfdb_label': '16184.c2', 'torsion': [6]}
  • id: 829166
    {'degree': 8, 'field': [953, -1150, 505, -278, 206, -54, 15, -2, 1], 'lmfdb_label': '16184.c2', 'torsion': [2, 4]}
  • id: 829167
    {'degree': 8, 'field': [19826, -8706, -159, -114, 477, -34, -17, -2, 1], 'lmfdb_label': '16184.c2', 'torsion': [2, 4]}
  • id: 829169
    {'degree': 16, 'field': [145924, 0, -1431376, 0, -477832, 0, 75216, 0, 15208, 0, 88, 0, -332, 0, -16, 0, 1], 'lmfdb_label': '16184.c2', 'torsion': [8]}
  • id: 829170
    {'degree': 16, 'field': [18096516, 0, 15449640, 0, 5247916, 0, 859428, 0, 792, 0, 1860, 0, -444, 0, 0, 0, 1], 'lmfdb_label': '16184.c2', 'torsion': [2, 6]}
• 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: 358733
    {'conductor': 16184, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '16184.c2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 358734
    {'conductor': 16184, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16184.c2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 358735
    {'conductor': 16184, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16184.c2', '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: 1771644
    {'adelic_gens': [[1, 2, 2, 5], [29, 4, 2, 9], [3, 4, 8, 11], [9, 50, 48, 7], [34, 1, 39, 0], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 16184, 'lmfdb_label': '16184.c2', 'prime': 0}
  • id: 75978
    {'conductor': 16184, 'elladic_image': '8.6.0.1', 'lmfdb_label': '16184.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 731579
    {'lmfdb_iso': '16184.c', 'p': 5, 'prec': 20, 'unit': 2774481980684, 'val': 2}
  • id: 731562
    {'lmfdb_iso': '16184.c', 'p': 19, 'prec': 20, 'unit': 1646354689662724734091163, 'val': 1}
  • id: 731575
    {'lmfdb_iso': '16184.c', 'p': 23, 'prec': 20, 'unit': 48348777139880263236909689, 'val': 1}
  • id: 731569
    {'lmfdb_iso': '16184.c', 'p': 29, 'prec': 20, 'unit': 1262939030059146424901848189, 'val': 1}
  • id: 731566
    {'lmfdb_iso': '16184.c', 'p': 31, 'prec': 20, 'unit': 10998378612448209465164360902, 'val': 1}
  • id: 731565
    {'lmfdb_iso': '16184.c', 'p': 37, 'prec': 20, 'unit': 294175319265181925884280467282, 'val': 1}
  • id: 731567
    {'lmfdb_iso': '16184.c', 'p': 41, 'prec': 20, 'unit': 2808355789598152097531572919637, 'val': 1}
  • id: 731568
    {'lmfdb_iso': '16184.c', 'p': 43, 'prec': 20, 'unit': 3001417339083880016402842799855, 'val': 1}
  • id: 731577
    {'lmfdb_iso': '16184.c', 'p': 47, 'prec': 20, 'unit': 373703583530791984003562713685, 'val': 1}
  • id: 731573
    {'lmfdb_iso': '16184.c', 'p': 53, 'prec': 20, 'unit': 515265450355971187736985898668876, 'val': 1}
  • id: 731571
    {'lmfdb_iso': '16184.c', 'p': 59, 'prec': 20, 'unit': 944377829934790138077495536064771, 'val': 1}
  • id: 731578
    {'lmfdb_iso': '16184.c', 'p': 61, 'prec': 20, 'unit': 4588622668177077212391999614110491, 'val': 1}
  • id: 731564
    {'lmfdb_iso': '16184.c', 'p': 67, 'prec': 20, 'unit': 33118670730902735261735158526719029, 'val': 1}
  • id: 731574
    {'lmfdb_iso': '16184.c', 'p': 73, 'prec': 20, 'unit': 191804881853882102813339329082534, 'val': 2}
  • id: 731570
    {'lmfdb_iso': '16184.c', 'p': 79, 'prec': 20, 'unit': 112447343128585398712953843917637049, 'val': 1}
  • id: 731572
    {'lmfdb_iso': '16184.c', 'p': 83, 'prec': 20, 'unit': 640580402453155288235268333904824340, 'val': 1}
  • id: 731576
    {'lmfdb_iso': '16184.c', 'p': 89, 'prec': 20, 'unit': 6025305230566650142740601570070293508, 'val': 1}
  • id: 731563
    {'lmfdb_iso': '16184.c', 'p': 97, 'prec': 20, 'unit': 32981646387598928937969947301008596341, 'val': 1}