Elliptic curve data - 139650.is1

Formats: - HTML - YAML - JSON - 2024-06-04T03:29:18.409402

• 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': '139650cd', 'Clabel': '139650cd1', 'Cnumber': 1, 'abc_quality': 1.0378927665403548, 'absD': 457624430936064000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [1, 0, 0, 1632812, -643601008], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 139650, 'degree': 7902720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6515189742949187681291721744', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 226, 'isogeny_degrees': [1], 'jinv': [628805222251722551, 597713542447104], 'lmfdb_iso': '139650.is', 'lmfdb_label': '139650.is1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 65313, -5122683], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['24.2.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25845046997534283892954681012', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5224816599019830299779003839', 'prec': 100}, 'szpiro_ratio': 4.6029822739861475, '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, 1, 1, 1, 0, 1, 0, 1, 1, 0, 3, 1, -4, 0, 0, 1, -4, 1, 1, 0], 'aplist': [1, 1, 0, 0, 3, -4, -4, 1, 4, -7, -7, 4, -12, 6, 10, -13, 1, -14, 2, 14, 10, -1, 15, 6, 3], 'class_deg': 1, 'class_size': 1, 'conductor': 139650, 'isogeny_matrix': [[1]], 'lmfdb_iso': '139650.is', 'trace_hash': 1469898332508717277}
• 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': '0.0049764527119705893056717536801', 'prec': 110}, 'conductor': 139650, 'gens': [[488, 16172, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.25845046997534283892954681012', 'prec': 103}], 'lmfdb_label': '139650.is1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.091048264413931735305054797903', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.836502436193324612200478117846105313', 'prec': 130}, 'tamagawa_product': 588, 'torsion_generators': [], 'xcoord_integral_points': [488, 848, 1856, 4136]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [6, 0], '5': 'a', '7': 'a', '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': '139650.is1'}
• ec_torsion_growth •

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

  
  
  • id: 6313742
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '139650.is1', 'torsion': [2]}
  • id: 6313743
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '139650.is1', 'torsion': [2, 2]}
  • id: 6313744
    {'degree': 8, 'field': [14079, -9348, -10545, 38, 1418, -88, -17, -2, 1], 'lmfdb_label': '139650.is1', 'torsion': [3]}
  • id: 6313745
    {'degree': 12, 'field': [-149904, 460944, -150768, -422616, 229244, -15552, 48936, 2512, 3796, 124, 104, -2, 1], 'lmfdb_label': '139650.is1', '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: 3448465
    {'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 21, 'j_denominator_valuation': 21, 'kodaira_symbol': 25, 'lmfdb_label': '139650.is1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 21}
  • id: 3448466
    {'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '139650.is1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 3448467
    {'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '139650.is1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3448468
    {'conductor': 139650, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '139650.is1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3448469
    {'conductor': 139650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '139650.is1', 'prime': 19, 'reduction_type': 1, '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

  
  {'adelic_gens': [[7, 2, 0, 1], [1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [13, 2, 13, 3], [1, 1, 23, 0]], 'adelic_image': '24.2.0.?', 'conductor': 139650, 'lmfdb_label': '139650.is1', 'prime': 0}
• lmfdb_iso 139650.is does not appear in ec_padic