Elliptic curve data - 211600.be1

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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': '211600dd', 'Clabel': '211600dd1', 'Cnumber': 1, 'abc_quality': 0.8151826396911841, 'absD': 16928000000, 'adelic_genus': 0, 'adelic_index': 10, 'adelic_level': 40, 'ainvs': [0, -1, 0, 192, 6112], 'analytic_rank': 2, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 211600, 'degree': 122880, 'elladic_images': ['8.2.0.1', '5.5.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64297542245762320056458826237', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1], 'jinv': [46, 1], 'lmfdb_iso': '211600.be', 'lmfdb_label': '211600.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 8, -52], 'min_quad_twist_disc': -20, 'modell_images': ['5S4'], 'modm_images': ['5.5.0.a.1', '8.2.0.a.1', '40.10.0.a.1'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': True, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3869323366581867763425804357', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3197108185942351355027129875', 'prec': 103}, 'szpiro_ratio': 2.5264091765566787, '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, -1, 0, 0, 0, -2, 0, -2, 0, 4, 0, -4, 0, 0, 0, -7, 0, 3, 0], 'aplist': [0, -1, 0, -2, 4, -4, -7, 3, 0, -4, -6, 2, 6, -5, -10, 0, 5, 4, -5, -14, -15, -12, 15, 10, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 211600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '211600.be', 'trace_hash': 402579407871017901}
• 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': '0.27638765685233220213291997833', 'prec': 103}, 'conductor': 211600, 'gens': [[12, 100, 1], [-12, 44, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.67067429417316532105469744729', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.1566487253345062183995337195', 'prec': 100}], 'lmfdb_label': '211600.be1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.92326158408499191706824124484', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.244010769293894622643353573646024468', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [-14, -12, 12, 37, 148, 1116]}
• lmfdb_label 211600.be1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9243011
    {'degree': 3, 'field': [-29, -15, -1, 1], 'lmfdb_label': '211600.be1', 'torsion': [2]}
  • id: 9243012
    {'degree': 6, 'field': [242, 0, 93, 0, 16, 0, 1], 'lmfdb_label': '211600.be1', 'torsion': [2, 2]}
  • id: 9243013
    {'degree': 8, 'field': [-12241, 10010, -17662, -6180, -840, -130, -4, 0, 1], 'lmfdb_label': '211600.be1', 'torsion': [3]}
  • id: 9243014
    {'degree': 12, 'field': [-244493920, -133534470, -17482494, 6146611, 3557785, 195724, -150508, -8400, 4640, 326, -74, -5, 1], 'lmfdb_label': '211600.be1', 'torsion': [4]}
• 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: 5244242
    {'conductor': 211600, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '211600.be1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5244243
    {'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '211600.be1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5244244
    {'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '211600.be1', 'prime': 23, '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: 3017407
    {'adelic_gens': [[1, 0, 10, 1], [26, 5, 5, 36], [1, 10, 0, 1], [6, 5, 15, 36], [31, 12, 0, 7], [4, 9, 27, 1], [3, 16, 8, 3], [31, 10, 30, 11]], 'adelic_image': '40.10.0.?', 'conductor': 211600, 'lmfdb_label': '211600.be1', 'prime': 0}
  • id: 780085
    {'conductor': 211600, 'elladic_image': '8.2.0.1', 'lmfdb_label': '211600.be1', 'modell_image': '2G', 'prime': 2}
  • id: 780086
    {'conductor': 211600, 'elladic_image': '5.5.0.1', 'lmfdb_label': '211600.be1', 'modell_image': '5S4', 'prime': 5}
• lmfdb_iso 211600.be does not appear in ec_padic