Elliptic curve data - 16606.f1

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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': '16606h', 'Clabel': '16606h2', 'Cnumber': 2, 'abc_quality': 1.014697315204348, 'absD': 949992582261376, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 10488, 'ainvs': [1, 1, 0, -231360936, 1354416557248], 'analytic_rank': 1, 'bad_primes': [2, 19, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 16606, 'degree': 1451520, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0874248448168073459729741722', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [29112011033527546515217, 20192896], 'lmfdb_iso': '16606.f', 'lmfdb_label': '16606.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -640889, -197533063], 'min_quad_twist_disc': -19, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '57.8.0-3.a.1.2', '552.8.0.?', '3496.2.0.?', '10488.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4667642047514716459295756560', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 8303], [7, 2, 8303], [19, 200, 46], [23, 24, 722]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6152053552335871159684604563', 'prec': 100}, 'szpiro_ratio': 7.140924461627417, '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, -1, 1, 3, 1, 2, -1, -2, -3, -3, -1, -2, -2, -3, 1, 0, 2, 0, 3], 'aplist': [-1, -1, 3, 2, -3, -2, 0, 0, 1, 3, 4, 4, -6, -13, 3, 0, -9, 2, -8, 12, 11, 1, 9, 3, -17], 'class_deg': 3, 'class_size': 2, 'conductor': 16606, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '16606.f', 'trace_hash': 80060269550715328}
• 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': '0.0020811187076565741461043971613', 'prec': 110}, 'conductor': 16606, 'gens': [[43028791, -1505258971, 70]], 'heights': [{'__RealLiteral__': 0, 'data': '8.4667642047514716459295756560', 'prec': 100}], 'lmfdb_label': '16606.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21504522233055761874769640637', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6414743816623741778930218241198814684', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': 'a', '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '16606.f1'}
• ec_torsion_growth •

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

  
  
  • id: 850352
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '16606.f1', 'torsion': [3]}
  • id: 850353
    {'degree': 3, 'field': [-14, -13, 0, 1], 'lmfdb_label': '16606.f1', 'torsion': [2]}
  • id: 850356
    {'degree': 6, 'field': [-164, -321, 361, 34, -38, -1, 1], 'lmfdb_label': '16606.f1', 'torsion': [6]}
  • id: 850354
    {'degree': 6, 'field': [104, 344, 270, -56, -63, -2, 1], 'lmfdb_label': '16606.f1', 'torsion': [2, 2]}
  • id: 850355
    {'degree': 6, 'field': [2885, -1317, -48, 61, 18, -3, 1], 'lmfdb_label': '16606.f1', 'torsion': [3]}
  • id: 850359
    {'degree': 12, 'field': [-8208, 24624, 9828, -54936, -5316, 33468, -1691, -7470, 1071, 520, -93, -6, 1], 'lmfdb_label': '16606.f1', 'torsion': [2, 6]}
  • id: 850358
    {'degree': 12, 'field': [2500, -25500, 90500, -38760, 6936, -78, -1595, 549, 96, 39, -10, -3, 1], 'lmfdb_label': '16606.f1', 'torsion': [3, 3]}
  • id: 850357
    {'degree': 12, 'field': [239312, 858920, 1359493, 562044, -225421, -158380, 7161, 12096, 197, -236, -17, -4, 1], 'lmfdb_label': '16606.f1', 'torsion': [4]}
  • id: 850361
    {'degree': 18, 'field': [7331244848, 241077168, -4805317872, -145049248, 1664115624, -997844664, 341690112, -1627608, -12621048, 4991624, -208614, -111330, 22863, 5847, -1062, -3, 54, -9, 1], 'lmfdb_label': '16606.f1', 'torsion': [6]}
  • id: 850360
    {'degree': 18, 'field': [1103899189352832, 1761798896996544, 1147416193150848, 373213760938416, 48896838882720, -6705630830880, -3635115994592, -475610594592, 18836915544, 11210924684, 589367364, -115601220, -12204772, 526278, 96570, -947, -423, 0, 1], 'lmfdb_label': '16606.f1', 'torsion': [9]}
• 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: 368910
    {'conductor': 16606, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '16606.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 368911
    {'conductor': 16606, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '16606.f1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 368912
    {'conductor': 16606, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16606.f1', 'prime': 23, '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

  
  
  • id: 1774518
    {'adelic_gens': [[4, 3, 9, 7], [5245, 6, 5247, 19], [2623, 6, 0, 1], [10033, 6, 9123, 19], [1, 6, 0, 1], [3, 4, 8, 11], [9935, 10482, 8829, 10469], [10483, 6, 10482, 7], [1, 0, 6, 1], [8306, 2187, 3943, 5251]], 'adelic_image': '10488.16.0.?', 'conductor': 16606, 'lmfdb_label': '16606.f1', 'prime': 0}
  • id: 77913
    {'conductor': 16606, 'elladic_image': '3.4.0.1', 'lmfdb_label': '16606.f1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 754129
    {'lmfdb_iso': '16606.f', 'p': 5, 'prec': 20, 'unit': 17698949217044, 'val': 1}
  • id: 754130
    {'lmfdb_iso': '16606.f', 'p': 7, 'prec': 20, 'unit': 10481740157213289, 'val': 1}
  • id: 754128
    {'lmfdb_iso': '16606.f', 'p': 11, 'prec': 20, 'unit': 44531010921819185915, 'val': 1}
  • id: 754135
    {'lmfdb_iso': '16606.f', 'p': 13, 'prec': 20, 'unit': 936109766401872362673, 'val': 1}
  • id: 754134
    {'lmfdb_iso': '16606.f', 'p': 29, 'prec': 20, 'unit': 3319845678622613687174739611, 'val': 1}
  • id: 754131
    {'lmfdb_iso': '16606.f', 'p': 31, 'prec': 20, 'unit': 14001899694851014342275022286, 'val': 1}
  • id: 754144
    {'lmfdb_iso': '16606.f', 'p': 37, 'prec': 20, 'unit': 66395818874917789233221004574, 'val': 1}
  • id: 754132
    {'lmfdb_iso': '16606.f', 'p': 41, 'prec': 20, 'unit': 798752486336644777802533098698, 'val': 1}
  • id: 754133
    {'lmfdb_iso': '16606.f', 'p': 43, 'prec': 20, 'unit': 7376648579597699668591726498153, 'val': 1}
  • id: 754142
    {'lmfdb_iso': '16606.f', 'p': 47, 'prec': 20, 'unit': 5555736849521931516516142748114, 'val': 1}
  • id: 754137
    {'lmfdb_iso': '16606.f', 'p': 59, 'prec': 20, 'unit': 15693643959679888574128304963553, 'val': 2}
  • id: 754143
    {'lmfdb_iso': '16606.f', 'p': 61, 'prec': 20, 'unit': 5987240925710436245177404081800418, 'val': 1}
  • id: 754138
    {'lmfdb_iso': '16606.f', 'p': 67, 'prec': 20, 'unit': 12641469172221753916613125551950704, 'val': 1}
  • id: 754141
    {'lmfdb_iso': '16606.f', 'p': 71, 'prec': 20, 'unit': 105435134265212823294179082185549365, 'val': 1}
  • id: 754139
    {'lmfdb_iso': '16606.f', 'p': 73, 'prec': 20, 'unit': 250107968058255156560278722671312729, 'val': 1}
  • id: 754136
    {'lmfdb_iso': '16606.f', 'p': 79, 'prec': 20, 'unit': 68954239795346351971741451527410724256, 'val': -1}
  • id: 754127
    {'lmfdb_iso': '16606.f', 'p': 83, 'prec': 20, 'unit': 619401640300366059454973119228332743, 'val': 1}
  • id: 754140
    {'lmfdb_iso': '16606.f', 'p': 89, 'prec': 20, 'unit': 1551092642208356831165806701708800764, 'val': 1}
  • id: 754126
    {'lmfdb_iso': '16606.f', 'p': 97, 'prec': 20, 'unit': 3067504938975235340017459055672711150, 'val': 1}