Elliptic curve data - 116160.dy2

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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': '116160cb', 'Clabel': '116160cb2', 'Cnumber': 2, 'abc_quality': 0.9202651524689294, 'absD': 52369542730137600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, -1, 0, -36945, -11332143], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 116160, 'degree': 983040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8904969597861610098790404623', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 102, 'isogeny_degrees': [1, 2], 'jinv': [-192143824, 1804275], 'lmfdb_iso': '116160.dy', 'lmfdb_label': '116160.dy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -76, 1040], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '22.6.0.a.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.4505239154011622899968770192', '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': '-0.11712238726629378980536880172', 'prec': 107}, 'szpiro_ratio': 3.9451869068090364, '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, 2, 0, 1, 0, 0, 0, -4, 0, -1, 0, -4, 0, 0, 0], 'aplist': [0, -1, 1, 2, 0, -4, -4, 0, -4, -6, -8, 2, 10, 10, -12, -6, 12, 10, 8, 0, -4, -4, 2, -10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 116160, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '116160.dy', 'trace_hash': 264116754247731196}
• 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': '0.022800018774654504758633313880', 'prec': 107}, 'conductor': 116160, 'gens': [[37139, 3300700, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '9.4505239154011622899968770192', 'prec': 100}], 'lmfdb_label': '116160.dy2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15036480425746585621111017664', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6841047146791823225196207165312092533', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[279, 0, 1]], 'xcoord_integral_points': [279]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 1, 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': '116160.dy2'}
• ec_torsion_growth •

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

  
  
  • id: 5325073
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '116160.dy2', 'torsion': [2, 2]}
  • id: 5325074
    {'degree': 4, 'field': [-44, 0, -2, 0, 1], 'lmfdb_label': '116160.dy2', 'torsion': [4]}
  • id: 5325077
    {'degree': 8, 'field': [-5808, 0, 6688, 0, 264, 0, 0, 0, 1], 'lmfdb_label': '116160.dy2', 'torsion': [6]}
  • id: 5325075
    {'degree': 8, 'field': [9, 0, 28, 0, 95, 0, 2, 0, 1], 'lmfdb_label': '116160.dy2', 'torsion': [2, 4]}
  • id: 5325076
    {'degree': 8, 'field': [256, 0, -160, 0, 68, 0, -10, 0, 1], 'lmfdb_label': '116160.dy2', 'torsion': [2, 4]}
  • id: 5325078
    {'degree': 16, 'field': [245025, 0, 267300, 0, -9440, 0, 1420, 0, 9486, 0, -3844, 0, 576, 0, -44, 0, 1], 'lmfdb_label': '116160.dy2', 'torsion': [8]}
  • id: 5325079
    {'degree': 16, 'field': [2404875, 5662800, -3471490, -6050176, 7334954, -5567936, 2520112, -576848, 152985, -4932, 432, -176, 454, -224, 52, -8, 1], 'lmfdb_label': '116160.dy2', '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: 2857387
    {'conductor': 116160, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '116160.dy2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2857388
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '116160.dy2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2857389
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '116160.dy2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2857390
    {'conductor': 116160, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '116160.dy2', '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: 2423320
    {'adelic_gens': [[57, 166, 164, 55], [1, 2, 2, 5], [202, 1, 119, 0], [217, 4, 216, 5], [3, 4, 8, 11], [177, 4, 134, 9], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 116160, 'lmfdb_label': '116160.dy2', 'prime': 0}
  • id: 458292
    {'conductor': 116160, 'elladic_image': '2.3.0.1', 'lmfdb_label': '116160.dy2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6065633
    {'lmfdb_iso': '116160.dy', 'p': 7, 'prec': 20, 'unit': 6161166849381280, 'val': 1}
  • id: 6065637
    {'lmfdb_iso': '116160.dy', 'p': 13, 'prec': 20, 'unit': 616151297885005539660, 'val': 1}
  • id: 6065639
    {'lmfdb_iso': '116160.dy', 'p': 17, 'prec': 20, 'unit': 216017457557880769758424, 'val': 1}
  • id: 6065644
    {'lmfdb_iso': '116160.dy', 'p': 23, 'prec': 20, 'unit': 35843263888751006126220092, 'val': 1}
  • id: 6065636
    {'lmfdb_iso': '116160.dy', 'p': 29, 'prec': 20, 'unit': 1355391631259003922381794009, 'val': 1}
  • id: 6065648
    {'lmfdb_iso': '116160.dy', 'p': 31, 'prec': 20, 'unit': 20024289406719044425829200190, 'val': 1}
  • id: 6065632
    {'lmfdb_iso': '116160.dy', 'p': 37, 'prec': 20, 'unit': 249580083023653507653405189734, 'val': 1}
  • id: 6065634
    {'lmfdb_iso': '116160.dy', 'p': 41, 'prec': 20, 'unit': 136346803762083910558848337015, 'val': 1}
  • id: 6065635
    {'lmfdb_iso': '116160.dy', 'p': 43, 'prec': 20, 'unit': 10167144170493407040974714737154, 'val': 1}
  • id: 6065646
    {'lmfdb_iso': '116160.dy', 'p': 47, 'prec': 20, 'unit': 33491719566156148654918089021784, 'val': 1}
  • id: 6065641
    {'lmfdb_iso': '116160.dy', 'p': 53, 'prec': 20, 'unit': 113447397248397508166164132380493, 'val': 1}
  • id: 6065642
    {'lmfdb_iso': '116160.dy', 'p': 59, 'prec': 20, 'unit': 1435006247156197796544658323143644, 'val': 1}
  • id: 6065647
    {'lmfdb_iso': '116160.dy', 'p': 61, 'prec': 20, 'unit': 7704784619159660576816918240815687, 'val': 1}
  • id: 6065631
    {'lmfdb_iso': '116160.dy', 'p': 67, 'prec': 20, 'unit': 12381129166124613218017098134755581, 'val': 1}
  • id: 6065643
    {'lmfdb_iso': '116160.dy', 'p': 73, 'prec': 20, 'unit': 222103488876065509282933122638724437, 'val': 1}
  • id: 6065638
    {'lmfdb_iso': '116160.dy', 'p': 79, 'prec': 20, 'unit': 760433293038752661303332833217447084, 'val': 1}
  • id: 6065640
    {'lmfdb_iso': '116160.dy', 'p': 83, 'prec': 20, 'unit': 722100379072521533541632986624606096, 'val': 1}
  • id: 6065645
    {'lmfdb_iso': '116160.dy', 'p': 89, 'prec': 20, 'unit': 3379511825644807624762597556970540467, 'val': 1}
  • id: 6065630
    {'lmfdb_iso': '116160.dy', 'p': 97, 'prec': 20, 'unit': 9616472773993681053888654127645368872, 'val': 1}