Elliptic curve data - 34650.ci1

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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': '34650ci', 'Clabel': '34650ci1', 'Cnumber': 1, 'abc_quality': 1.022439916879566, 'absD': 1375258500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [1, -1, 0, -3507, 80801], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 34650, 'degree': 36864, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73349262716274379469065826297', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2], 'jinv': [52355598021, 15092], 'lmfdb_iso': '34650.ci', 'lmfdb_label': '34650.ci1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -390, -2863], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.d.1', '616.6.0.?', '770.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.24791125710226330395006854300', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21817299527983614465715418880', 'prec': 107}, 'szpiro_ratio': 3.4536620216511116, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -1, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 6, -1, 0, 1, -4, 0, -4, 0], 'aplist': [-1, 0, 0, 1, 1, 6, -4, -4, -4, 0, -2, 2, -10, -8, 0, -2, 0, 14, 2, 4, -4, 14, 18, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 34650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '34650.ci', 'trace_hash': 393069501881001791}
• 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': '0.23061969796033850762447530006', 'prec': 103}, 'conductor': 34650, 'gens': [[28, 49, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.24791125710226330395006854300', 'prec': 103}], 'lmfdb_label': '34650.ci1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4869250193924125843089732514', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4235054092925629429729266304468090264', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[34, -17, 1]], 'xcoord_integral_points': [-56, 10, 28, 34, 35, 49, 203]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [2, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '34650.ci1'}
• ec_torsion_growth •

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

  
  
  • id: 1720261
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '34650.ci1', 'torsion': [2, 2]}
  • id: 1720262
    {'degree': 4, 'field': [835, -180, 20, 0, 1], 'lmfdb_label': '34650.ci1', 'torsion': [4]}
  • id: 1720265
    {'degree': 8, 'field': [196, 239, 205, 41, -41, -19, -5, -1, 1], 'lmfdb_label': '34650.ci1', 'torsion': [6]}
  • id: 1720264
    {'degree': 8, 'field': [2916, 0, 17766, 0, -479, 0, 56, 0, 1], 'lmfdb_label': '34650.ci1', 'torsion': [2, 4]}
  • id: 1720263
    {'degree': 8, 'field': [391876, 0, -101798, 0, 4329, 0, -92, 0, 1], 'lmfdb_label': '34650.ci1', 'torsion': [2, 4]}
  • id: 1720267
    {'degree': 16, 'field': [889128256, 2610952000, 3196621776, 2148589184, 838655408, 199971288, 39509776, 11351788, 2876169, 167338, -69488, -7470, 62, -46, -24, -2, 1], 'lmfdb_label': '34650.ci1', 'torsion': [2, 6]}
  • id: 1720266
    {'degree': 16, 'field': [3756811225, 2549026000, -569466400, -1486659600, 262955680, 34895200, -17091560, 1581760, 4980406, 241840, 46432, -15280, 8304, -480, 8, 0, 1], 'lmfdb_label': '34650.ci1', 'torsion': [8]}
• 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: 813579
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34650.ci1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 813580
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '34650.ci1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 813581
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '34650.ci1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 813582
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '34650.ci1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 813583
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34650.ci1', 'prime': 11, 'reduction_type': 1, '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: 1895460
    {'adelic_gens': [[1, 2, 2, 5], [1962, 1, 559, 0], [1, 4, 0, 1], [1929, 1156, 384, 2695], [3077, 4, 3076, 5], [1541, 4, 2, 9], [1, 0, 4, 1], [1322, 1, 879, 0], [3, 4, 8, 11], [2468, 1, 2463, 0]], 'adelic_image': '3080.12.0.?', 'conductor': 34650, 'lmfdb_label': '34650.ci1', 'prime': 0}
  • id: 154062
    {'conductor': 34650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '34650.ci1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1695377
    {'lmfdb_iso': '34650.ci', 'p': 13, 'prec': 20, 'unit': 784661166965704537096, 'val': 1}
  • id: 1695379
    {'lmfdb_iso': '34650.ci', 'p': 17, 'prec': 20, 'unit': 93885549145101378393985, 'val': 1}
  • id: 1695370
    {'lmfdb_iso': '34650.ci', 'p': 19, 'prec': 20, 'unit': 1053751624872354129833687, 'val': 1}
  • id: 1695383
    {'lmfdb_iso': '34650.ci', 'p': 23, 'prec': 20, 'unit': 70496472056375013830815799, 'val': 1}
  • id: 1695386
    {'lmfdb_iso': '34650.ci', 'p': 31, 'prec': 20, 'unit': 19665305723635833738491533847, 'val': 1}
  • id: 1695373
    {'lmfdb_iso': '34650.ci', 'p': 37, 'prec': 20, 'unit': 12176753661545147725401773172, 'val': 2}
  • id: 1695375
    {'lmfdb_iso': '34650.ci', 'p': 41, 'prec': 20, 'unit': 3624817035444010278585831789354, 'val': 1}
  • id: 1695376
    {'lmfdb_iso': '34650.ci', 'p': 43, 'prec': 20, 'unit': 7509151469680959180387352840617, 'val': 1}
  • id: 1695381
    {'lmfdb_iso': '34650.ci', 'p': 53, 'prec': 20, 'unit': 574299264600573940147375169674463, 'val': 1}
  • id: 1695385
    {'lmfdb_iso': '34650.ci', 'p': 61, 'prec': 20, 'unit': 2160180226117409707284725984171153, 'val': 1}
  • id: 1695372
    {'lmfdb_iso': '34650.ci', 'p': 67, 'prec': 20, 'unit': 4999195278702954037708688039011884, 'val': 1}
  • id: 1695374
    {'lmfdb_iso': '34650.ci', 'p': 71, 'prec': 20, 'unit': 103221323359735375802049152869529121, 'val': 1}
  • id: 1695382
    {'lmfdb_iso': '34650.ci', 'p': 73, 'prec': 20, 'unit': 128835099648846005058031773090136147, 'val': 1}
  • id: 1695378
    {'lmfdb_iso': '34650.ci', 'p': 79, 'prec': 20, 'unit': 948192412367309809015216190984494611, 'val': 1}
  • id: 1695380
    {'lmfdb_iso': '34650.ci', 'p': 83, 'prec': 20, 'unit': 31878130603108569692191749180787799, 'val': 2}
  • id: 1695384
    {'lmfdb_iso': '34650.ci', 'p': 89, 'prec': 20, 'unit': 804840335089039768450427319526429541, 'val': 1}
  • id: 1695371
    {'lmfdb_iso': '34650.ci', 'p': 97, 'prec': 20, 'unit': 35177247648993380530821402592066180444, 'val': 1}