Elliptic curve data - 34680.bd1

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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': '34680bt', 'Clabel': '34680bt2', 'Cnumber': 2, 'abc_quality': 0.8562082956196421, 'absD': 54645293489817600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -185056, -28564000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 34680, 'degree': 382976, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9557847311232268083445125276', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2], 'jinv': [2885794, 225], 'lmfdb_iso': '34680.bd', 'lmfdb_label': '34680.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -640, -5588], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '136.6.0.?', '1020.6.0.?', '2040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.596843684349483148942722423', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 17], [3, 4, 11560], [5, 6, 6936], [17, 98, 120]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80451019243221845214176788048', 'prec': 107}, 'szpiro_ratio': 4.591469699774129, '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, 0, 1, 0, -1, 0, -4, 0, 1, 0, 4, 0, -4, 0, -1, 0, 0, 0, 0, 0], 'aplist': [0, 1, -1, -4, 4, -4, 0, 0, 2, -2, -6, 2, 10, -2, 0, 6, -10, -10, 10, -8, 6, 14, 4, 6, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 34680, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '34680.bd', 'trace_hash': 282527472233563949}
• 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': '0.020009072920959042284534930000', 'prec': 107}, 'conductor': 34680, 'gens': [[-431707, 19711665, 38]], 'heights': [{'__RealLiteral__': 0, 'data': '11.596843684349483148942722423', 'prec': 100}], 'lmfdb_label': '34680.bd1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23132025875130325728048805410', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3651697635242788768090114259093248829', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-193, 0, 1]], 'xcoord_integral_points': [-193]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '34680.bd1'}
• ec_torsion_growth •

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

  
  
  • id: 1723034
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '34680.bd1', 'torsion': [2, 2]}
  • id: 1723035
    {'degree': 4, 'field': [544, 0, 34, 0, 1], 'lmfdb_label': '34680.bd1', 'torsion': [4]}
  • id: 1723036
    {'degree': 8, 'field': [16, 0, -32, 0, -10, 0, -8, 0, 1], 'lmfdb_label': '34680.bd1', 'torsion': [2, 4]}
  • id: 1723038
    {'degree': 8, 'field': [81, 0, -108, -102, -48, -34, -12, 0, 1], 'lmfdb_label': '34680.bd1', 'torsion': [6]}
  • id: 1723037
    {'degree': 8, 'field': [7056, 0, -696, 0, -23, 0, 16, 0, 1], 'lmfdb_label': '34680.bd1', 'torsion': [2, 4]}
  • id: 1723040
    {'degree': 16, 'field': [-284040, -1324944, -2321496, -1778832, -300408, 504480, 379416, 67496, -34956, -15576, 2420, 2640, 306, -164, -48, 0, 1], 'lmfdb_label': '34680.bd1', 'torsion': [2, 6]}
  • id: 1723039
    {'degree': 16, 'field': [49787136, 0, 15579648, 0, 1976400, 0, -405312, 0, 151444, 0, -7648, 0, -360, 0, 32, 0, 1], 'lmfdb_label': '34680.bd1', '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: 814939
    {'conductor': 34680, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '34680.bd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 814940
    {'conductor': 34680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34680.bd1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 814941
    {'conductor': 34680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34680.bd1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 814942
    {'conductor': 34680, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '34680.bd1', 'prime': 17, 'reduction_type': 0, '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

  
  
  • id: 1895791
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [964, 1, 1799, 0], [1, 4, 0, 1], [817, 4, 1634, 9], [2037, 4, 2036, 5], [1361, 4, 682, 9], [257, 1786, 1784, 255], [2, 1, 1019, 0]], 'adelic_image': '2040.12.0.?', 'conductor': 34680, 'lmfdb_label': '34680.bd1', 'prime': 0}
  • id: 154364
    {'conductor': 34680, 'elladic_image': '2.3.0.1', 'lmfdb_label': '34680.bd1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1697405
    {'lmfdb_iso': '34680.bd', 'p': 7, 'prec': 20, 'unit': 1540180567750806, 'val': 2}
  • id: 1697403
    {'lmfdb_iso': '34680.bd', 'p': 11, 'prec': 20, 'unit': 50859031257939131723, 'val': 1}
  • id: 1697409
    {'lmfdb_iso': '34680.bd', 'p': 13, 'prec': 20, 'unit': 1414850177288379454388, 'val': 1}
  • id: 1697414
    {'lmfdb_iso': '34680.bd', 'p': 23, 'prec': 20, 'unit': 21324595437045797003143481, 'val': 1}
  • id: 1697408
    {'lmfdb_iso': '34680.bd', 'p': 29, 'prec': 20, 'unit': 2332719458323577701270243533, 'val': 1}
  • id: 1697419
    {'lmfdb_iso': '34680.bd', 'p': 31, 'prec': 20, 'unit': 13407901233437414037835988412, 'val': 1}
  • id: 1697404
    {'lmfdb_iso': '34680.bd', 'p': 37, 'prec': 20, 'unit': 473671213357835060359566631986, 'val': 1}
  • id: 1697406
    {'lmfdb_iso': '34680.bd', 'p': 41, 'prec': 20, 'unit': 3263793206621431423499553822159, 'val': 1}
  • id: 1697407
    {'lmfdb_iso': '34680.bd', 'p': 43, 'prec': 20, 'unit': 5582192156103572655834017935460, 'val': 1}
  • id: 1697412
    {'lmfdb_iso': '34680.bd', 'p': 53, 'prec': 20, 'unit': 396585477825706922750966331474756, 'val': 1}
  • id: 1697417
    {'lmfdb_iso': '34680.bd', 'p': 59, 'prec': 20, 'unit': 4168366492351210425173389932534664, 'val': 1}
  • id: 1697418
    {'lmfdb_iso': '34680.bd', 'p': 61, 'prec': 20, 'unit': 2868318196559846320190008517949093, 'val': 1}
  • id: 1697402
    {'lmfdb_iso': '34680.bd', 'p': 67, 'prec': 20, 'unit': 28081581382822132969530647211618434, 'val': 1}
  • id: 1697416
    {'lmfdb_iso': '34680.bd', 'p': 71, 'prec': 20, 'unit': 139330277059433940606191618216746280, 'val': 1}
  • id: 1697413
    {'lmfdb_iso': '34680.bd', 'p': 73, 'prec': 20, 'unit': 49326039257726946480142030774334982, 'val': 1}
  • id: 1697410
    {'lmfdb_iso': '34680.bd', 'p': 79, 'prec': 20, 'unit': 1076831969978687997629016649187252733, 'val': 1}
  • id: 1697411
    {'lmfdb_iso': '34680.bd', 'p': 83, 'prec': 20, 'unit': 1949367680498215985423633310012952942, 'val': 1}
  • id: 1697415
    {'lmfdb_iso': '34680.bd', 'p': 89, 'prec': 20, 'unit': 4155535821260873923655540577066644380, 'val': 1}
  • id: 1697401
    {'lmfdb_iso': '34680.bd', 'p': 97, 'prec': 20, 'unit': 27381909492114868443732282537285405213, 'val': 1}