Elliptic curve data - 1160.c2

Formats: - HTML - YAML - JSON - 2026-03-20T09:58:38.792127

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1160a', 'Clabel': '1160a1', 'Cnumber': 1, 'abc_quality': 0.894034150371482, 'absD': 7250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 580, 'ainvs': [0, -1, 0, -51, -40], 'analytic_rank': 1, 'bad_primes': [2, 5, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1160, 'degree': 192, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.0099235765880868730901238202607', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [934979584, 453125], 'lmfdb_iso': '1160.c', 'lmfdb_label': '1160.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -51, -40], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '58.6.0.a.1', '580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5932486290473960404252771416', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 29], [3, 2, 232], [5, 6, 232], [29, 30, 40]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22112548359856156338228688689', 'prec': 107}, 'szpiro_ratio': 3.320300733848215, '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, 2, 0, -1, 0, -4, 0, 1, 0, 0, 0, -2, 0, -2, 0, -4, 0, 0, 0], 'aplist': [0, 2, -1, -4, 0, -2, -4, 0, 0, -1, 0, -4, -2, -2, -10, -6, 4, -6, 0, 8, 8, 0, 8, 14, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 1160, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1160.c', 'trace_hash': 1635187172922588105}
• 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': '0.98034850501104730307605045835', 'prec': 103}, 'conductor': 1160, 'gens': [[-1, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5932486290473960404252771416', 'prec': 100}], 'lmfdb_label': '1160.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.8724484013366199453989947129', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9832758483915581356249991806678166036', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[8, 0, 1]], 'xcoord_integral_points': [-1, 8]}
• 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, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1160.c2'}
• ec_torsion_growth •

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

  
  
  • id: 57379
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '1160.c2', 'torsion': [2, 2]}
  • id: 57380
    {'degree': 4, 'field': [1, 1, -3, -1, 1], 'lmfdb_label': '1160.c2', 'torsion': [4]}
  • id: 57383
    {'degree': 8, 'field': [-75, 0, -92, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '1160.c2', 'torsion': [6]}
  • id: 57381
    {'degree': 8, 'field': [-1, 11, -5, -36, 17, 26, -12, -2, 1], 'lmfdb_label': '1160.c2', 'torsion': [2, 4]}
  • id: 57382
    {'degree': 8, 'field': [2809, 0, 1694, 0, 175, 0, 14, 0, 1], 'lmfdb_label': '1160.c2', 'torsion': [2, 4]}
  • id: 57384
    {'degree': 16, 'field': [5101, -7592, -16928, 3554, 19841, 4478, -11520, -2818, 2449, 1146, -100, -414, 21, 72, -12, -4, 1], 'lmfdb_label': '1160.c2', 'torsion': [8]}
  • id: 57385
    {'degree': 16, 'field': [5625, 0, 9864, 0, 21838, 0, 16752, 0, -3513, 0, -4224, 0, -234, 0, 0, 0, 1], 'lmfdb_label': '1160.c2', 'torsion': [2, 6]}
• 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: 16921
    {'conductor': 1160, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1160.c2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 16922
    {'conductor': 1160, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1160.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 16923
    {'conductor': 1160, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1160.c2', 'prime': 29, '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: 1671898
    {'adelic_gens': [[1, 0, 4, 1], [577, 4, 576, 5], [3, 4, 8, 11], [1, 2, 2, 5], [437, 146, 144, 435], [1, 4, 0, 1], [62, 1, 259, 0], [117, 4, 234, 9]], 'adelic_image': '580.12.0.?', 'conductor': 1160, 'lmfdb_label': '1160.c2', 'prime': 0}
  • id: 5544
    {'conductor': 1160, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1160.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 28363
    {'lmfdb_iso': '1160.c', 'p': 7, 'prec': 20, 'unit': 10080845480165921, 'val': 1}
  • id: 28366
    {'lmfdb_iso': '1160.c', 'p': 13, 'prec': 20, 'unit': 51797035148177280306, 'val': 2}
  • id: 28368
    {'lmfdb_iso': '1160.c', 'p': 17, 'prec': 20, 'unit': 119999732448917823954065, 'val': 1}
  • id: 28362
    {'lmfdb_iso': '1160.c', 'p': 37, 'prec': 20, 'unit': 618602643773527476442077517649, 'val': 1}
  • id: 28364
    {'lmfdb_iso': '1160.c', 'p': 41, 'prec': 20, 'unit': 2452328994433469110597281439249, 'val': 1}
  • id: 28365
    {'lmfdb_iso': '1160.c', 'p': 43, 'prec': 20, 'unit': 2047870671485528337159188088521, 'val': 1}
  • id: 28367
    {'lmfdb_iso': '1160.c', 'p': 47, 'prec': 20, 'unit': 24656831121890135755172130318682, 'val': 1}
  • id: 28370
    {'lmfdb_iso': '1160.c', 'p': 53, 'prec': 20, 'unit': 248465187559394839664283274757228, 'val': 1}
  • id: 28374
    {'lmfdb_iso': '1160.c', 'p': 59, 'prec': 20, 'unit': 2190673656410932264234313190810794, 'val': 1}
  • id: 28375
    {'lmfdb_iso': '1160.c', 'p': 61, 'prec': 20, 'unit': 8238491712212601376781833108963395, 'val': 1}
  • id: 28373
    {'lmfdb_iso': '1160.c', 'p': 71, 'prec': 20, 'unit': 40948207682287401230910097209448870, 'val': 1}
  • id: 28371
    {'lmfdb_iso': '1160.c', 'p': 73, 'prec': 20, 'unit': 74278424099712402928575538586099058, 'val': 1}
  • id: 28369
    {'lmfdb_iso': '1160.c', 'p': 83, 'prec': 20, 'unit': 1955923133767779762499480011608004237, 'val': 1}
  • id: 28372
    {'lmfdb_iso': '1160.c', 'p': 89, 'prec': 20, 'unit': 6173467597709780626390622252209233058, 'val': 1}
  • id: 28361
    {'lmfdb_iso': '1160.c', 'p': 97, 'prec': 20, 'unit': 13499770304463834433853102115169157127, 'val': 1}