Elliptic curve data - 116160.gz2

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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
  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': '116160do', 'Clabel': '116160do2', 'Cnumber': 2, 'abc_quality': 0.8049951435456074, 'absD': 17959376793600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 660, 'ainvs': [0, 1, 0, 4679, -160921], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 116160, 'degree': 245760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2284638833547481844117000493', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 181, 'isogeny_degrees': [1, 2], 'jinv': [1560896, 2475], 'lmfdb_iso': '116160.gz', 'lmfdb_label': '116160.gz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 10, 12], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '22.6.0.a.1', '60.6.0.b.1', '660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.0997644888834176248084138892', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66363093360438239703650386114', 'prec': 107}, 'szpiro_ratio': 3.217067794038625, '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, 0, 0, -1, 0, 2, 0, 2, 0], 'aplist': [0, 1, -1, 4, 0, 0, 2, 2, 4, 0, 4, -2, -12, -4, -8, -10, 12, -2, 4, -8, 0, -10, -6, -14, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 116160, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '116160.gz', 'trace_hash': 54077887265713290}
• 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': '0.085697830674981830774108062748', 'prec': 107}, 'conductor': 116160, 'gens': [[2674, 138345, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.0997644888834176248084138892', 'prec': 100}], 'lmfdb_label': '116160.gz2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36429250387354420073664778059', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.345563930271255910383486747705901531', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[29, 0, 1]], 'xcoord_integral_points': [29, 2674]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [3, 0], '7': [1, 0], '11': 'a', '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '116160.gz2'}
• ec_torsion_growth •

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

  
  
  • id: 5326104
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '116160.gz2', 'torsion': [2, 2]}
  • id: 5326105
    {'degree': 4, 'field': [-11, 0, 4, 0, 1], 'lmfdb_label': '116160.gz2', 'torsion': [4]}
  • id: 5326108
    {'degree': 8, 'field': [-363, 0, 176, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '116160.gz2', 'torsion': [6]}
  • id: 5326107
    {'degree': 8, 'field': [309, -420, 496, -172, 137, -64, 26, -4, 1], 'lmfdb_label': '116160.gz2', 'torsion': [2, 4]}
  • id: 5326106
    {'degree': 8, 'field': [2025, 0, 1140, 0, 259, 0, 18, 0, 1], 'lmfdb_label': '116160.gz2', 'torsion': [2, 4]}
  • id: 5326109
    {'degree': 16, 'field': [435600, 0, -1900800, 0, -2140320, 0, 55680, 0, 32056, 0, 4928, 0, 504, 0, 32, 0, 1], 'lmfdb_label': '116160.gz2', 'torsion': [8]}
  • id: 5326110
    {'degree': 16, 'field': [493245, -1598328, 1453080, 290088, -164622, 79832, -116116, 66704, -1309, -14872, 7964, -3200, 958, -224, 52, -8, 1], 'lmfdb_label': '116160.gz2', '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: 2857755
    {'conductor': 116160, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '116160.gz2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2857756
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '116160.gz2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2857757
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '116160.gz2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2857758
    {'conductor': 116160, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '116160.gz2', '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: 2423507
    {'adelic_gens': [[1, 0, 4, 1], [422, 1, 119, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [221, 4, 442, 9], [397, 4, 134, 9], [169, 496, 164, 495], [657, 4, 656, 5]], 'adelic_image': '660.12.0.?', 'conductor': 116160, 'lmfdb_label': '116160.gz2', 'prime': 0}
  • id: 458456
    {'conductor': 116160, 'elladic_image': '2.3.0.1', 'lmfdb_label': '116160.gz2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6066297
    {'lmfdb_iso': '116160.gz', 'p': 7, 'prec': 20, 'unit': 1398071533099814, 'val': 1}
  • id: 6066301
    {'lmfdb_iso': '116160.gz', 'p': 17, 'prec': 20, 'unit': 61899609166364448468757, 'val': 1}
  • id: 6066293
    {'lmfdb_iso': '116160.gz', 'p': 19, 'prec': 20, 'unit': 757180607298186813124334, 'val': 1}
  • id: 6066305
    {'lmfdb_iso': '116160.gz', 'p': 23, 'prec': 20, 'unit': 3205158156691290954854965, 'val': 1}
  • id: 6066310
    {'lmfdb_iso': '116160.gz', 'p': 31, 'prec': 20, 'unit': 18459064952108274996407523360, 'val': 1}
  • id: 6066296
    {'lmfdb_iso': '116160.gz', 'p': 37, 'prec': 20, 'unit': 124162136126476922443943782553, 'val': 1}
  • id: 6066298
    {'lmfdb_iso': '116160.gz', 'p': 41, 'prec': 20, 'unit': 1815658644132329511394304310970, 'val': 1}
  • id: 6066299
    {'lmfdb_iso': '116160.gz', 'p': 43, 'prec': 20, 'unit': 4685275401716909461989206006153, 'val': 1}
  • id: 6066308
    {'lmfdb_iso': '116160.gz', 'p': 47, 'prec': 20, 'unit': 3098519029164050072345295811310, 'val': 1}
  • id: 6066303
    {'lmfdb_iso': '116160.gz', 'p': 53, 'prec': 20, 'unit': 77183268235752292766061039966667, 'val': 1}
  • id: 6066304
    {'lmfdb_iso': '116160.gz', 'p': 59, 'prec': 20, 'unit': 4028366078246803494942423447995544, 'val': 1}
  • id: 6066309
    {'lmfdb_iso': '116160.gz', 'p': 61, 'prec': 20, 'unit': 5159172927999325692454414149474840, 'val': 1}
  • id: 6066295
    {'lmfdb_iso': '116160.gz', 'p': 67, 'prec': 20, 'unit': 41279742254554417882000702048811755, 'val': 1}
  • id: 6066307
    {'lmfdb_iso': '116160.gz', 'p': 71, 'prec': 20, 'unit': 54131508352696456340983402446996961, 'val': 1}
  • id: 6066300
    {'lmfdb_iso': '116160.gz', 'p': 79, 'prec': 20, 'unit': 1026108315228133451651860715001953762, 'val': 1}
  • id: 6066302
    {'lmfdb_iso': '116160.gz', 'p': 83, 'prec': 20, 'unit': 536543835544408111007294713390631464, 'val': 1}
  • id: 6066306
    {'lmfdb_iso': '116160.gz', 'p': 89, 'prec': 20, 'unit': 454163948511194256948636453891735840, 'val': 1}
  • id: 6066294
    {'lmfdb_iso': '116160.gz', 'p': 97, 'prec': 20, 'unit': 21776953438873235462900218586079454534, 'val': 1}