Elliptic curve data - 40560.e1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '40560b', 'Clabel': '40560b2', 'Cnumber': 2, 'abc_quality': 0.8746321622412715, 'absD': 75177743247360, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -33856, -2349920], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 40560, 'degree': 129024, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4590933110108208135286802335', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [434163602, 7605], 'lmfdb_iso': '40560.e', 'lmfdb_label': '40560.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -200, 1008], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], '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': '2.6843090165166248941954989402', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45876628323323075479719293195', 'prec': 107}, 'szpiro_ratio': 4.0434564748511015, '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, 0, 0, 1, 0, -4, 0, 6, 0], 'aplist': [0, -1, -1, -2, 0, 0, -4, 6, -6, 4, 8, 6, -6, -4, 8, 2, 0, -2, -4, -8, 0, -16, -4, 6, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 40560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '40560.e', 'trace_hash': 2291588744514095550}
• 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': '0.054031578190965931116476385010', 'prec': 107}, 'conductor': 40560, 'gens': [[581, 13182, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6843090165166248941954989402', 'prec': 100}], 'lmfdb_label': '40560.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35233124524398027998568821286', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7830637536357859103509076883313972426', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-95, 0, 1]], 'xcoord_integral_points': [-95, 581]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [3, 0], '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [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': '40560.e1'}
• ec_torsion_growth •

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

  
  
  • id: 1992972
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '40560.e1', 'torsion': [2, 2]}
  • id: 1992973
    {'degree': 4, 'field': [40, 0, 2, 0, 1], 'lmfdb_label': '40560.e1', 'torsion': [4]}
  • id: 1992976
    {'degree': 8, 'field': [822, -480, 1166, -540, -534, -250, -30, 0, 1], 'lmfdb_label': '40560.e1', 'torsion': [6]}
  • id: 1992974
    {'degree': 8, 'field': [1600, -3200, 3320, -1800, 554, -84, 5, -2, 1], 'lmfdb_label': '40560.e1', 'torsion': [2, 4]}
  • id: 1992975
    {'degree': 8, 'field': [152100, 0, -52000, 0, -3340, 0, -80, 0, 1], 'lmfdb_label': '40560.e1', 'torsion': [2, 4]}
  • id: 1992978
    {'degree': 16, 'field': [-5824741276, -665968320, 1039239224, -343472720, -41139460, 77598760, -4768128, -3473480, 869400, -277160, -88488, 23920, 5632, -500, -140, 0, 1], 'lmfdb_label': '40560.e1', 'torsion': [2, 6]}
  • id: 1992977
    {'degree': 16, 'field': [207360000, 0, 111456000, 0, 30693600, 0, -729000, 0, -281340, 0, -18360, 0, 1956, 0, 6, 0, 1], 'lmfdb_label': '40560.e1', 'torsion': [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: 959495
    {'conductor': 40560, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '40560.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 959496
    {'conductor': 40560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '40560.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 959497
    {'conductor': 40560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '40560.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 959498
    {'conductor': 40560, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '40560.e1', '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: 1934538
    {'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 40560, 'lmfdb_label': '40560.e1', 'prime': 0}
  • id: 177700
    {'conductor': 40560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '40560.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2009379
    {'lmfdb_iso': '40560.e', 'p': 7, 'prec': 20, 'unit': 51204134941076, 'val': 3}
  • id: 2009384
    {'lmfdb_iso': '40560.e', 'p': 17, 'prec': 20, 'unit': 170682726761464600705608, 'val': 1}
  • id: 2009375
    {'lmfdb_iso': '40560.e', 'p': 19, 'prec': 20, 'unit': 1133863636635943693526591, 'val': 1}
  • id: 2009387
    {'lmfdb_iso': '40560.e', 'p': 23, 'prec': 20, 'unit': 15177564388959155429057757, 'val': 1}
  • id: 2009382
    {'lmfdb_iso': '40560.e', 'p': 29, 'prec': 20, 'unit': 1502577133441939632724146088, 'val': 1}
  • id: 2009392
    {'lmfdb_iso': '40560.e', 'p': 31, 'prec': 20, 'unit': 13897960740465468481637209211, 'val': 1}
  • id: 2009378
    {'lmfdb_iso': '40560.e', 'p': 37, 'prec': 20, 'unit': 354644735039573625365927660181, 'val': 1}
  • id: 2009380
    {'lmfdb_iso': '40560.e', 'p': 41, 'prec': 20, 'unit': 403743796110852034861649860501, 'val': 1}
  • id: 2009381
    {'lmfdb_iso': '40560.e', 'p': 43, 'prec': 20, 'unit': 9545575675206207019193188572530, 'val': 1}
  • id: 2009383
    {'lmfdb_iso': '40560.e', 'p': 47, 'prec': 20, 'unit': 51123925746115276052320462504677, 'val': 1}
  • id: 2009386
    {'lmfdb_iso': '40560.e', 'p': 53, 'prec': 20, 'unit': 518192439012887793825568943988778, 'val': 1}
  • id: 2009391
    {'lmfdb_iso': '40560.e', 'p': 61, 'prec': 20, 'unit': 598561209110110327274857723592465, 'val': 1}
  • id: 2009377
    {'lmfdb_iso': '40560.e', 'p': 67, 'prec': 20, 'unit': 37178110259703049171290972821916817, 'val': 1}
  • id: 2009389
    {'lmfdb_iso': '40560.e', 'p': 71, 'prec': 20, 'unit': 39470469503984757436273575547812359, 'val': 1}
  • id: 2009390
    {'lmfdb_iso': '40560.e', 'p': 79, 'prec': 20, 'unit': 627493935141594254159164051241567972, 'val': 1}
  • id: 2009385
    {'lmfdb_iso': '40560.e', 'p': 83, 'prec': 20, 'unit': 1619288997222998461345342048604866960, 'val': 1}
  • id: 2009388
    {'lmfdb_iso': '40560.e', 'p': 89, 'prec': 20, 'unit': 4782463837157864014415916928256018793, 'val': 1}
  • id: 2009376
    {'lmfdb_iso': '40560.e', 'p': 97, 'prec': 20, 'unit': 38204553467194866447423423585252034671, 'val': 1}