Elliptic curve data - 10640.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
  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': '10640n', 'Clabel': '10640n1', 'Cnumber': 1, 'abc_quality': 0.8298757280200002, 'absD': 158493440, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, 1, 0, -141, 839], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 10640, 'degree': 2880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.27823221526027230938731366291', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [-1219600384, 619115], 'lmfdb_iso': '10640.s', 'lmfdb_label': '10640.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -141, -839], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.65659312493122620667189730652', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 35], [3, 2, 1520], [5, 6, 2128], [7, 8, 1520], [19, 20, 560]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18386590511302456355750775140', 'prec': 107}, 'szpiro_ratio': 2.9223089459293448, '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, -1, 0, -1, 0, -2, 0, -3, 0, -3, 0, -1, 0, 5, 0, 1, 0], 'aplist': [0, 1, -1, -1, -3, -3, 5, 1, 8, 1, -4, 8, -4, 12, 3, 0, -2, -10, 8, 0, 6, -11, -4, -10, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 10640, 'isogeny_matrix': [[1]], 'lmfdb_iso': '10640.s', 'trace_hash': 67728557009284840}
• 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': '0.57323218752103891359405980412', 'prec': 103}, 'conductor': 10640, 'gens': [[-5, 38, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.65659312493122620667189730652', 'prec': 103}], 'lmfdb_label': '10640.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6957172577108275717325745582', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4535851729606468537414051381151671852', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-5, 10]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10640.s1'}
• ec_torsion_growth •

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

  
  
  • id: 550986
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '10640.s1', 'torsion': [2]}
  • id: 550987
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '10640.s1', 'torsion': [2, 2]}
  • id: 550988
    {'degree': 8, 'field': [-1728, 0, 1044, 0, -144, 0, 0, 0, 1], 'lmfdb_label': '10640.s1', 'torsion': [3]}
  • id: 550989
    {'degree': 12, 'field': [-2042, 9856, -14764, 6484, -4656, 1092, 1300, -60, 156, -50, 2, 0, 1], 'lmfdb_label': '10640.s1', '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: 226473
    {'conductor': 10640, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '10640.s1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 226474
    {'conductor': 10640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10640.s1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 226475
    {'conductor': 10640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10640.s1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 226476
    {'conductor': 10640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10640.s1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  {'adelic_gens': [[69, 2, 68, 3], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [57, 2, 57, 3], [1, 1, 69, 0]], 'adelic_image': '70.2.0.?', 'conductor': 10640, 'lmfdb_label': '10640.s1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 454257
    {'lmfdb_iso': '10640.s', 'p': 11, 'prec': 20, 'unit': 32835677218890342895, 'val': 1}
  • id: 454262
    {'lmfdb_iso': '10640.s', 'p': 13, 'prec': 20, 'unit': 945738539297242763101, 'val': 1}
  • id: 454264
    {'lmfdb_iso': '10640.s', 'p': 17, 'prec': 20, 'unit': 57292877459740302000202, 'val': 1}
  • id: 454268
    {'lmfdb_iso': '10640.s', 'p': 23, 'prec': 20, 'unit': 12288694648699159215351414, 'val': 1}
  • id: 454261
    {'lmfdb_iso': '10640.s', 'p': 29, 'prec': 20, 'unit': 135092913156563764914266790527, 'val': -1}
  • id: 454272
    {'lmfdb_iso': '10640.s', 'p': 31, 'prec': 20, 'unit': 17498111764752870892566605312, 'val': 1}
  • id: 454258
    {'lmfdb_iso': '10640.s', 'p': 37, 'prec': 20, 'unit': 557613116296892373731640344644, 'val': 1}
  • id: 454259
    {'lmfdb_iso': '10640.s', 'p': 41, 'prec': 20, 'unit': 1054475787457812154744762774420, 'val': 1}
  • id: 454260
    {'lmfdb_iso': '10640.s', 'p': 43, 'prec': 20, 'unit': 9283237070033071890045815130546, 'val': 1}
  • id: 454270
    {'lmfdb_iso': '10640.s', 'p': 47, 'prec': 20, 'unit': 56761168001563846997941476543957, 'val': 1}
  • id: 454266
    {'lmfdb_iso': '10640.s', 'p': 59, 'prec': 20, 'unit': 2859803906894512867471285177468472, 'val': 1}
  • id: 454271
    {'lmfdb_iso': '10640.s', 'p': 61, 'prec': 20, 'unit': 3946129305812792347357756506752491, 'val': 1}
  • id: 454265
    {'lmfdb_iso': '10640.s', 'p': 67, 'prec': 20, 'unit': 10412413821246430646626949239404321, 'val': 1}
  • id: 454267
    {'lmfdb_iso': '10640.s', 'p': 73, 'prec': 20, 'unit': 252032597395540764951938947300523243, 'val': 1}
  • id: 454263
    {'lmfdb_iso': '10640.s', 'p': 79, 'prec': 20, 'unit': 451076195711830399563009410119605738, 'val': 1}
  • id: 454256
    {'lmfdb_iso': '10640.s', 'p': 83, 'prec': 20, 'unit': 556981044485733496759864685803221684, 'val': 1}
  • id: 454269
    {'lmfdb_iso': '10640.s', 'p': 89, 'prec': 20, 'unit': 303494362748931593431449111191363128, 'val': 1}
  • id: 454255
    {'lmfdb_iso': '10640.s', 'p': 97, 'prec': 20, 'unit': 8314190859016986084776276607062334635, 'val': 1}