Elliptic curve data - 122694.g3

Formats: - HTML - YAML - JSON - 2024-06-07T07:12:23.615214

• 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': '122694x', 'Clabel': '122694x2', 'Cnumber': 2, 'abc_quality': 1.1039479900506757, 'absD': 21845170661776083857664, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1716, 'ainvs': [1, 1, 0, -26573901, -52256108835], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 122694, 'degree': 17203200, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1029263771675219666225430433', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [242702053576633, 2554695936], 'lmfdb_iso': '122694.g', 'lmfdb_label': '122694.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1299, 17325], 'min_quad_twist_disc': -143, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '44.12.0-2.a.1.1', '52.12.0.b.1', '132.24.0.?', '156.24.0.?', '572.24.0.?', '1716.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62150406203756832656482753354', 'prec': 103}, 'szpiro_ratio': 5.368056214479122, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, -2, 1, 4, -1, 1, 2, 0, -1, 0, -4, 2, 1, -2, -1, -8, -2], 'aplist': [-1, -1, -2, 4, 0, 0, -2, -8, 0, -6, 4, 2, -10, -4, -8, -10, -4, 2, 16, 8, 2, -8, 12, -14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 122694, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '122694.g', 'trace_hash': 1197647836980029295}
• 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': '0.0020175875684316161388714715255', 'prec': 110}, 'conductor': 122694, 'gens': [], 'heights': [], 'lmfdb_label': '122694.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.066536791539477409162801790785', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.26614716615790963665120716314076542565', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[-3206, 1603, 1], [5946, -2973, 1]], 'xcoord_integral_points': [-3206, 5946]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '11': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '122694.g3'}
• ec_torsion_growth •

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

  
  
  • id: 5604601
    {'degree': 4, 'field': [36, 0, -1, 0, 1], 'lmfdb_label': '122694.g3', 'torsion': [2, 4]}
  • id: 5604602
    {'degree': 4, 'field': [430, 2, -1, -2, 1], 'lmfdb_label': '122694.g3', 'torsion': [2, 4]}
  • id: 5604603
    {'degree': 4, 'field': [1225, 0, -73, 0, 1], 'lmfdb_label': '122694.g3', 'torsion': [2, 4]}
  • id: 5604604
    {'degree': 8, 'field': [-118128, 24237, -1010, 711, -573, -15, -9, 0, 1], 'lmfdb_label': '122694.g3', 'torsion': [2, 6]}
  • id: 5604605
    {'degree': 16, 'field': [11664, 0, 7560, 0, 24553, 0, -34884, 0, 2844, 0, 3386, 0, 540, 0, 36, 0, 1], 'lmfdb_label': '122694.g3', 'torsion': [4, 4]}
  • id: 5604606
    {'degree': 16, 'field': [20816, -59408, 130648, -178440, 188104, -145000, 95914, -48572, 22887, -8864, 3722, -1396, 536, -168, 44, -8, 1], 'lmfdb_label': '122694.g3', 'torsion': [2, 8]}
  • id: 5604608
    {'degree': 16, 'field': [87179569, 0, -46428432, 0, 15932662, 0, -4778640, 0, 789675, 0, -71280, 0, 3622, 0, -96, 0, 1], 'lmfdb_label': '122694.g3', 'torsion': [2, 8]}
  • id: 5604607
    {'degree': 16, 'field': [100000000, 0, -60000000, 0, 28810000, 0, -5256000, 0, 716376, 0, -52560, 0, 2881, 0, -60, 0, 1], 'lmfdb_label': '122694.g3', 'torsion': [2, 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: 3023412
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '122694.g3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3023413
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '122694.g3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3023414
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '122694.g3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3023415
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '122694.g3', 'prime': 13, 'reduction_type': 0, '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

  
  
  • id: 2465048
    {'adelic_gens': [[1, 0, 4, 1], [813, 154, 1694, 1561], [1, 4, 0, 1], [1145, 1562, 0, 1], [705, 1408, 1100, 947], [779, 0, 0, 1715], [1713, 4, 1712, 5]], 'adelic_image': '1716.48.0.?', 'conductor': 122694, 'lmfdb_label': '122694.g3', 'prime': 0}
  • id: 481360
    {'conductor': 122694, 'elladic_image': '2.6.0.1', 'lmfdb_label': '122694.g3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 122694.g does not appear in ec_padic