Elliptic curve data - 16900.o2

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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': '16900l', 'Clabel': '16900l1', 'Cnumber': 1, 'abc_quality': 0.7100032029945751, 'absD': 676000000, 'adelic_genus': 6, 'adelic_index': 288, 'adelic_level': 4680, 'ainvs': [0, -1, 0, -108, -1288], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 16900, 'degree': 6480, 'elladic_images': ['4.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37886540184531803220926322109', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [-208, 1], 'lmfdb_iso': '16900.o', 'lmfdb_label': '16900.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4, -12], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '9.12.0.b.1', '12.8.0.a.1', '24.16.0.b.1', '36.24.0.b.1', '72.48.0.?', '117.36.0.?', '195.8.0.?', '468.72.2.?', '520.4.0.?', '585.72.0.?', '780.16.0.?', '936.144.6.?', '1560.32.0.?', '2340.144.2.?', '4680.288.6.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3154432343219518173781857668', 'prec': 103}, 'szpiro_ratio': 2.8659358434774322, '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, 2, 0, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, -2, 0], 'aplist': [0, 2, 0, -4, 0, 0, -3, -2, 6, 9, -2, -7, -3, 4, -6, -9, 0, 5, 2, 6, -1, -4, 12, -6, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 16900, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '16900.o', 'trace_hash': 782857213608963674}
• 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': '0.46872885891748125821308304318', 'prec': 103}, 'conductor': 16900, 'gens': [], 'heights': [], 'lmfdb_label': '16900.o2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.66927387678221230244062925794', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0078216303466369073218877738121852464', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '16900.o2'}
• ec_torsion_growth •

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

  
  
  • id: 866378
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '16900.o2', 'torsion': [3]}
  • id: 866379
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '16900.o2', 'torsion': [2]}
  • id: 866380
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '16900.o2', 'torsion': [2, 2]}
  • id: 866382
    {'degree': 6, 'field': [64, -224, 84, 30, -18, -1, 1], 'lmfdb_label': '16900.o2', 'torsion': [6]}
  • id: 866381
    {'degree': 6, 'field': [1221, -471, 58, -35, 8, -1, 1], 'lmfdb_label': '16900.o2', 'torsion': [3]}
  • id: 866383
    {'degree': 12, 'field': [-2808716, 548224, 413378, -250602, 49749, 12352, -11278, 4312, -892, 60, 12, -6, 1], 'lmfdb_label': '16900.o2', 'torsion': [4]}
  • id: 866385
    {'degree': 12, 'field': [4096, 0, 39424, 0, 18192, 0, 4244, 0, 552, 0, 37, 0, 1], 'lmfdb_label': '16900.o2', 'torsion': [2, 6]}
  • id: 866384
    {'degree': 12, 'field': [32761, -62626, 97091, -12842, -14706, -5294, 6511, -742, 342, -154, 11, -2, 1], 'lmfdb_label': '16900.o2', 'torsion': [3, 3]}
  • id: 866386
    {'degree': 18, 'field': [-22775, 56325, 77350, -494670, 880239, -814285, 380598, -12349, -91018, 54987, -20506, 9213, -3544, 107, 423, -94, 2, -5, 1], 'lmfdb_label': '16900.o2', 'torsion': [9]}
  • id: 866387
    {'degree': 18, 'field': [15874639, 44683862, 62558930, 45143120, 21886896, 7741414, 4681535, 577362, 601976, -21608, 72602, -12714, 6497, -980, 432, -76, 32, -4, 1], 'lmfdb_label': '16900.o2', 'torsion': [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: 376612
    {'conductor': 16900, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '16900.o2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 376613
    {'conductor': 16900, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16900.o2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 376614
    {'conductor': 16900, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '16900.o2', 'prime': 13, 'reduction_type': 0, '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: 1776611
    {'adelic_gens': [[1, 36, 0, 1], [1, 36, 12, 433], [1, 0, 36, 1], [3836, 2835, 1905, 581], [4645, 36, 4644, 37], [1171, 3780, 585, 1], [2341, 3780, 1890, 2521], [13, 6, 4630, 4657], [3743, 0, 0, 4679], [2081, 3780, 0, 1], [19, 27, 2673, 1828]], 'adelic_image': '4680.288.6.?', 'conductor': 16900, 'lmfdb_label': '16900.o2', 'prime': 0}
  • id: 79379
    {'conductor': 16900, 'elladic_image': '4.2.0.1', 'lmfdb_label': '16900.o2', 'modell_image': '2G', 'prime': 2}
  • id: 79380
    {'conductor': 16900, 'elladic_image': '9.12.0.2', 'lmfdb_label': '16900.o2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 16900.o does not appear in ec_padic