Elliptic curve data - 211600.s1

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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': '211600r', 'Clabel': '211600r2', 'Cnumber': 2, 'abc_quality': 1.031818056599876, 'absD': 22313864049459200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1380, 'ainvs': [0, 1, 0, -24655808, -47130572492], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 211600, 'degree': 5474304, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6939312082464702567353707233', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [109348914285625, 1472], 'lmfdb_iso': '211600.s', 'lmfdb_label': '211600.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2913, -61729], 'min_quad_twist_disc': 92, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '30.8.0-3.a.1.2', '92.2.0.?', '276.8.0.?', '1380.16.0.?'], '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': '9.7874556549589107849892500270', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16479726764960003948130229707', 'prec': 103}, 'szpiro_ratio': 5.111144754550333, '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, 1, 0, 1, 0, 3, 0, 1, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, -2, 0, 1, 3, 1, 0, -1, 0, -3, -2, 2, 3, 1, 0, -12, 6, -2, -8, 6, 7, -1, 9, 18, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 211600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '211600.s', 'trace_hash': 609676864881547866}
• 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': '0.0045717353645560022047225106395', 'prec': 110}, 'conductor': 211600, 'gens': [[-78064796, 14865958, 165]], 'heights': [{'__RealLiteral__': 0, 'data': '9.7874556549589107849892500270', 'prec': 100}], 'lmfdb_label': '211600.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.067751629309012218731069413025', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3049285393053721713559649442283209020', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 211600.s1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9242496
    {'degree': 2, 'field': [345, 0, 1], 'lmfdb_label': '211600.s1', 'torsion': [3]}
  • id: 9242497
    {'degree': 3, 'field': [2, -8, -1, 1], 'lmfdb_label': '211600.s1', 'torsion': [2]}
  • id: 9242499
    {'degree': 6, 'field': [-71875, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '211600.s1', 'torsion': [3]}
  • id: 9242498
    {'degree': 6, 'field': [8, 52, 53, -22, -26, -2, 1], 'lmfdb_label': '211600.s1', 'torsion': [2, 2]}
  • id: 9242500
    {'degree': 6, 'field': [1704, 768, 670, -70, 35, -2, 1], 'lmfdb_label': '211600.s1', 'torsion': [6]}
  • id: 9242501
    {'degree': 12, 'field': [64, -160, -32, 240, -180, -70, 130, -35, -45, 30, -2, -5, 1], 'lmfdb_label': '211600.s1', 'torsion': [4]}
  • id: 9242503
    {'degree': 12, 'field': [69169, 0, 28318, 0, 49535, 0, 100, 0, 335, 0, -2, 0, 1], 'lmfdb_label': '211600.s1', 'torsion': [2, 6]}
  • id: 9242502
    {'degree': 12, 'field': [5165871876, 431244, 1078146, -2875050, 1078215, 431124, -143609, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '211600.s1', 'torsion': [3, 3]}
  • id: 9242505
    {'degree': 18, 'field': [-97336000, 0, 0, 0, 0, 0, 5924800, 0, 0, 0, 0, 0, -38755, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '211600.s1', 'torsion': [6]}
  • id: 9242504
    {'degree': 18, 'field': [13255027198074, 7232989988700, 19508787534042, 6855015203658, 3240022425930, 235279227330, 110335995255, -14139420210, 7348913280, -493988670, 302492877, -37422210, 7937866, -635466, 90405, -3382, 450, -6, 1], 'lmfdb_label': '211600.s1', '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: 5244005
    {'conductor': 211600, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '211600.s1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5244006
    {'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '211600.s1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5244007
    {'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '211600.s1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3017522
    {'adelic_gens': [[4, 3, 9, 7], [179, 1374, 537, 1361], [1375, 6, 1374, 7], [578, 807, 355, 7], [831, 2, 10, 7], [1, 6, 0, 1], [3, 4, 8, 11], [689, 1374, 687, 1361], [1, 0, 6, 1]], 'adelic_image': '1380.16.0.?', 'conductor': 211600, 'lmfdb_label': '211600.s1', 'prime': 0}
  • id: 780186
    {'conductor': 211600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '211600.s1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 211600.s does not appear in ec_padic