Elliptic curve data - 211600.u2

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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': '211600s', 'Clabel': '211600s1', 'Cnumber': 1, 'abc_quality': 0.94595817604251, 'absD': 20047612231936000000, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 60, 'ainvs': [0, 1, 0, 101392, 215096788], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 211600, 'degree': 4769280, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3829867361163583054236661027', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 3], 'jinv': [23, 4], 'lmfdb_iso': '211600.u', 'lmfdb_label': '211600.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 0, 2], 'min_quad_twist_disc': 460, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.16.0.b.1', '20.4.0-4.a.1.1', '30.8.0-3.a.1.1', '60.32.0-12.b.1.1'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6916969721726086053248585687', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13225], [5, 14, 8464], [23, 200, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2052088779467369851651142399', 'prec': 103}, 'szpiro_ratio': 4.2321082636049505, '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, 2, 0, 1, 0, -6, 0, 1, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, -2, 0, 2, -6, 1, -6, -2, 0, -9, 4, -2, -9, -4, 6, -3, -6, -1, 8, -6, -11, -8, 0, -9, 1], 'class_deg': 3, 'class_size': 2, 'conductor': 211600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '211600.u', 'trace_hash': 1100676439630040905}
• 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': '0.0085145954843938680615179539844', 'prec': 110}, 'conductor': 211600, 'gens': [[-353, 11638, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6916969721726086053248585687', 'prec': 100}], 'lmfdb_label': '211600.u2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16684321629911946309542294783', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6945482808392768797211225046083084731', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-353]}
• lmfdb_label 211600.u2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9242506
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '211600.u2', 'torsion': [3]}
  • id: 9242507
    {'degree': 3, 'field': [-6, 8, -1, 1], 'lmfdb_label': '211600.u2', 'torsion': [2]}
  • id: 9242509
    {'degree': 6, 'field': [-9375, 0, 775, 0, -5, 0, 1], 'lmfdb_label': '211600.u2', 'torsion': [3]}
  • id: 9242508
    {'degree': 6, 'field': [36, 0, 52, 0, -15, 0, 1], 'lmfdb_label': '211600.u2', 'torsion': [2, 2]}
  • id: 9242510
    {'degree': 6, 'field': [46, -46, 161, -48, 32, -2, 1], 'lmfdb_label': '211600.u2', 'torsion': [6]}
  • id: 9242511
    {'degree': 12, 'field': [716, -3106, 5298, -3803, 1383, -205, -61, 68, -60, 31, -1, -5, 1], 'lmfdb_label': '211600.u2', 'torsion': [4]}
  • id: 9242513
    {'degree': 12, 'field': [9801, 0, 15525, 0, 1582, 0, -1403, 0, 266, 0, -23, 0, 1], 'lmfdb_label': '211600.u2', 'torsion': [2, 6]}
  • id: 9242512
    {'degree': 12, 'field': [24525, -94500, 102435, -19530, 19306, -12576, 6167, -1890, 726, -180, 47, -6, 1], 'lmfdb_label': '211600.u2', 'torsion': [3, 3]}
  • id: 9242515
    {'degree': 18, 'field': [-247911, -2559480, -9340655, -12509496, -11374980, -7638120, -3829908, -1379160, -322350, 312, 36130, 16920, 4248, 360, -240, -72, -15, 0, 1], 'lmfdb_label': '211600.u2', 'torsion': [6]}
  • id: 9242514
    {'degree': 18, 'field': [8735261, 10565388, 21003690, 18969880, 19473807, 12279510, 8240826, 3582048, 1713810, 483482, 175959, 24048, 8793, -414, 357, -52, 27, 0, 1], 'lmfdb_label': '211600.u2', '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: 5244008
    {'conductor': 211600, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '211600.u2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5244009
    {'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '211600.u2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5244010
    {'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '211600.u2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3017526
    {'adelic_gens': [[5, 2, 22, 45], [49, 12, 48, 13], [29, 0, 15, 59], [39, 55, 5, 44], [23, 0, 0, 59], [4, 9, 3, 7], [1, 0, 12, 1], [1, 12, 0, 1], [41, 20, 0, 1]], 'adelic_image': '60.32.0.?', 'conductor': 211600, 'lmfdb_label': '211600.u2', 'prime': 0}
  • id: 780190
    {'conductor': 211600, 'elladic_image': '4.2.0.1', 'lmfdb_label': '211600.u2', 'modell_image': '2G', 'prime': 2}
  • id: 780191
    {'conductor': 211600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '211600.u2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 211600.u does not appear in ec_padic