Elliptic curve data - 116160.hi2

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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': '116160jn', 'Clabel': '116160jn8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 2721117696000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, 1, 0, -3512065, -345966337], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 116160, 'degree': 6635520, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8028343924554549164460622927', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 190, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '116160.hi', 'lmfdb_label': '116160.hi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': 88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.3', '24.96.1.da.1', '40.12.0.bb.1', '44.12.0-4.c.1.1', '66.24.0-6.a.1.3', '120.192.5.?', '132.96.0.?', '264.192.1.?', '440.24.0.?', '1320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5696706010079835679733796223', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 7744], [5, 6, 23232], [11, 62, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232153', 'prec': 103}, 'szpiro_ratio': 4.872682262749455, '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, 0, 0, 2, 0, 1, 0, -6, 0, 4, 0], 'aplist': [0, 1, 1, -4, 0, 2, -6, 4, 0, -6, -8, -2, 6, 4, 0, 6, 0, -10, -4, 0, -2, 8, -12, 18, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 116160, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '116160.hi', 'trace_hash': 712356799795749450}
• 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': '0.0036769606259832569990449812182', 'prec': 110}, 'conductor': 116160, 'gens': [[-257, 23232, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5696706010079835679733796223', 'prec': 100}], 'lmfdb_label': '116160.hi2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11910629500953807269143015733', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3455346723438534365032417577651154505', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[1921, 0, 1]], 'xcoord_integral_points': [-257, 1921]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 1], '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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': '116160.hi2'}
• ec_torsion_growth •

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

  
  
  • id: 5329321
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [4]}
  • id: 5329320
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [4]}
  • id: 5329319
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 2]}
  • id: 5329322
    {'degree': 2, 'field': [66, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [6]}
  • id: 5329323
    {'degree': 4, 'field': [25, 0, -34, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 4]}
  • id: 5329324
    {'degree': 4, 'field': [75, 6, -5, -2, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 6]}
  • id: 5329325
    {'degree': 4, 'field': [289, 0, -10, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [12]}
  • id: 5329326
    {'degree': 4, 'field': [1089, 0, 0, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [12]}
  • id: 5329327
    {'degree': 6, 'field': [-10639, -396, 1452, -6, -66, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [6]}
  • id: 5329328
    {'degree': 8, 'field': [75, -300, 342, -96, 79, -40, 18, -4, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 12]}
  • id: 5329331
    {'degree': 8, 'field': [225, 180, -108, -156, 109, -40, 18, -4, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 12]}
  • id: 5329329
    {'degree': 8, 'field': [12321, 0, -9180, 0, 1228, 0, -60, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [8]}
  • id: 5329330
    {'degree': 8, 'field': [25600, 0, 4280, 0, 156, 0, 2, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [8]}
  • id: 5329333
    {'degree': 12, 'field': [-1944, 0, 0, 5400, 0, 0, -1725, 0, 0, -90, 0, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 6]}
  • id: 5329334
    {'degree': 12, 'field': [8254, 40356, -11862, -11340, 13647, 1008, -3474, 0, 507, -12, -36, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [12]}
  • id: 5329335
    {'degree': 12, 'field': [113316025, 0, -30965352, 0, 3511860, 0, -212966, 0, 7260, 0, -132, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [12]}
  • id: 5329332
    {'degree': 12, 'field': [113443801, 0, -30878232, 0, 3515820, 0, -212954, 0, 7260, 0, -132, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [3, 6]}
  • id: 5329336
    {'degree': 16, 'field': [5625, 0, 38700, 0, 71214, 0, -23520, 0, 8623, 0, -1160, 0, 162, 0, -20, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [4, 12]}
  • id: 5329338
    {'degree': 16, 'field': [140625, 0, -682500, 0, 1091350, 0, -733680, 0, 221511, 0, -33064, 0, 2466, 0, -84, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 8]}
  • id: 5329339
    {'degree': 16, 'field': [481636, 0, 60176, 0, 424004, 0, 202704, 0, 32165, 0, 2844, 0, 224, 0, -4, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [24]}
  • id: 5329337
    {'degree': 16, 'field': [799236, 0, -353736, 0, 35304, 0, -24804, 0, 8965, 0, -344, 0, 114, 0, 4, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [2, 8]}
  • id: 5329340
    {'degree': 16, 'field': [2560000, 0, 0, 0, 161425, 0, 0, 0, 3651, 0, 0, 0, -77, 0, 0, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [24]}
  • id: 5329341
    {'degree': 18, 'field': [121654083998500, 15709017489000, 13978796175300, -491462994020, 670607682030, 11020973340, 51683908529, -336082380, 557043480, 13783960, 34722183, 231540, 297050, -1260, 9987, -20, 60, 0, 1], 'lmfdb_label': '116160.hi2', 'torsion': [18]}
• 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: 2859087
    {'conductor': 116160, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '116160.hi2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2859088
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '116160.hi2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2859089
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '116160.hi2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 2859090
    {'conductor': 116160, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '116160.hi2', 'prime': 11, '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: 2423526
    {'adelic_gens': [[1057, 264, 924, 529], [1, 12, 12, 145], [1297, 24, 1296, 25], [119, 0, 0, 1319], [626, 957, 825, 1286], [714, 671, 1045, 1264], [15, 106, 14, 11], [936, 473, 671, 474], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '1320.384.5.?', 'conductor': 116160, 'lmfdb_label': '116160.hi2', 'prime': 0}
  • id: 458475
    {'conductor': 116160, 'elladic_image': '4.6.0.1', 'lmfdb_label': '116160.hi2', 'modell_image': '2B', 'prime': 2}
  • id: 458476
    {'conductor': 116160, 'elladic_image': '3.4.0.1', 'lmfdb_label': '116160.hi2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 6067776
    {'lmfdb_iso': '116160.hi', 'p': 7, 'prec': 20, 'unit': 5224563071473985, 'val': 1}
  • id: 6067780
    {'lmfdb_iso': '116160.hi', 'p': 13, 'prec': 20, 'unit': 597038858104900512365, 'val': 1}
  • id: 6067782
    {'lmfdb_iso': '116160.hi', 'p': 17, 'prec': 20, 'unit': 197110453097476123541702, 'val': 1}
  • id: 6067772
    {'lmfdb_iso': '116160.hi', 'p': 19, 'prec': 20, 'unit': 1156838579324468627962345, 'val': 1}
  • id: 6067779
    {'lmfdb_iso': '116160.hi', 'p': 29, 'prec': 20, 'unit': 538140237651587753720432954, 'val': 1}
  • id: 6067788
    {'lmfdb_iso': '116160.hi', 'p': 31, 'prec': 20, 'unit': 7777949147478883732354012590, 'val': 1}
  • id: 6067775
    {'lmfdb_iso': '116160.hi', 'p': 37, 'prec': 20, 'unit': 116202437602673583559308109792, 'val': 1}
  • id: 6067777
    {'lmfdb_iso': '116160.hi', 'p': 41, 'prec': 20, 'unit': 836215635372571206659606464370, 'val': 1}
  • id: 6067778
    {'lmfdb_iso': '116160.hi', 'p': 43, 'prec': 20, 'unit': 8066727624707184821229428620397, 'val': 1}
  • id: 6067784
    {'lmfdb_iso': '116160.hi', 'p': 53, 'prec': 20, 'unit': 199510016560595896751903415756006, 'val': 1}
  • id: 6067787
    {'lmfdb_iso': '116160.hi', 'p': 61, 'prec': 20, 'unit': 2775226081589123778429468480822606, 'val': 1}
  • id: 6067774
    {'lmfdb_iso': '116160.hi', 'p': 67, 'prec': 20, 'unit': 27761055841505739617073028710411240, 'val': 1}
  • id: 6067785
    {'lmfdb_iso': '116160.hi', 'p': 73, 'prec': 20, 'unit': 181153918043979846894201101028540693, 'val': 1}
  • id: 6067781
    {'lmfdb_iso': '116160.hi', 'p': 79, 'prec': 20, 'unit': 140061369514832157327474589030386911, 'val': 1}
  • id: 6067783
    {'lmfdb_iso': '116160.hi', 'p': 83, 'prec': 20, 'unit': 1790395304029068235956692086486600120, 'val': 1}
  • id: 6067786
    {'lmfdb_iso': '116160.hi', 'p': 89, 'prec': 20, 'unit': 1888724770717978805980895372930258694, 'val': 1}
  • id: 6067773
    {'lmfdb_iso': '116160.hi', 'p': 97, 'prec': 20, 'unit': 38075475802002332443741990272100592619, 'val': 1}