Elliptic curve data - 59290.z2

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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': '59290h', 'Clabel': '59290h1', 'Cnumber': 1, 'abc_quality': 1.0402116973880182, 'absD': 251640844824255040, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [1, -1, 0, -158230, 2136756], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 59290, 'degree': 645120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0285353954952276459503003879', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [6128487, 3520], 'lmfdb_iso': '59290.z', 'lmfdb_label': '59290.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -27, 11], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '440.6.0.?', '770.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2295197259250913445147886370', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4235], [3, 2, 29645], [5, 6, 11858], [7, 20, 1210], [11, 72, 490]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62984485269544260490968595866', 'prec': 107}, 'szpiro_ratio': 4.32467462004846, '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, -1, 0, 1, -1, 0, 0, -1, -3, 1, 0, 0, 2, 0, 0, 1, -4, 3, -4, -1], 'aplist': [-1, 0, -1, 0, 0, 2, -4, -4, -6, 4, 8, 8, 2, 4, 8, -8, -10, -14, 8, 0, -8, 2, -6, -4, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 59290, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '59290.z', 'trace_hash': 953150477639454337}
• 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': '0.017299619170433222510127029197', 'prec': 107}, 'conductor': 59290, 'gens': [[-235, 5246, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.2295197259250913445147886370', 'prec': 100}], 'lmfdb_label': '59290.z2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26608381135456012782098730648', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3151487031651262315179422128874780328', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-404, 202, 1]], 'xcoord_integral_points': [-404, -235]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [3, 1, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [1, 0], '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': '59290.z2'}
• ec_torsion_growth •

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

  
  
  • id: 2851551
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '59290.z2', 'torsion': [2, 2]}
  • id: 2851552
    {'degree': 4, 'field': [67, 10, 5, -2, 1], 'lmfdb_label': '59290.z2', 'torsion': [4]}
  • id: 2851555
    {'degree': 8, 'field': [3040, -28732, 3640, -2989, 2422, -175, -35, -4, 1], 'lmfdb_label': '59290.z2', 'torsion': [6]}
  • id: 2851553
    {'degree': 8, 'field': [246656, 518016, 200304, 17392, 5254, 454, -109, -2, 1], 'lmfdb_label': '59290.z2', 'torsion': [2, 4]}
  • id: 2851554
    {'degree': 8, 'field': [254016, 0, -28616, 0, 1057, 0, -14, 0, 1], 'lmfdb_label': '59290.z2', 'torsion': [2, 4]}
  • id: 2851557
    {'degree': 16, 'field': [12264256, 97460872, 77041584, -96735484, 61149059, -13416030, 9348907, -2012708, 470523, -123248, 982, -2280, -151, 86, 39, -8, 1], 'lmfdb_label': '59290.z2', 'torsion': [2, 6]}
  • id: 2851556
    {'degree': 16, 'field': [2991214864, 0, -274803584, 0, 25135088, 0, 8107968, 0, -298100, 0, -28512, 0, 2652, 0, -64, 0, 1], 'lmfdb_label': '59290.z2', '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: 1428232
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '59290.z2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1428233
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '59290.z2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1428234
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '59290.z2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1428235
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '59290.z2', '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: 2057760
    {'adelic_gens': [[1, 2, 2, 5], [2644, 1, 879, 0], [1962, 1, 559, 0], [1, 4, 0, 1], [1929, 1156, 384, 2695], [1234, 1, 2463, 0], [3077, 4, 3076, 5], [1541, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '3080.12.0.?', 'conductor': 59290, 'lmfdb_label': '59290.z2', 'prime': 0}
  • id: 251250
    {'conductor': 59290, 'elladic_image': '2.3.0.1', 'lmfdb_label': '59290.z2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3010845
    {'lmfdb_iso': '59290.z', 'p': 13, 'prec': 20, 'unit': 735110770901385661274, 'val': 1}
  • id: 3010847
    {'lmfdb_iso': '59290.z', 'p': 17, 'prec': 20, 'unit': 154985516041478325380677, 'val': 1}
  • id: 3010848
    {'lmfdb_iso': '59290.z', 'p': 19, 'prec': 20, 'unit': 1229372968317568111134479, 'val': 1}
  • id: 3010852
    {'lmfdb_iso': '59290.z', 'p': 23, 'prec': 20, 'unit': 51264099670565681242463602, 'val': 1}
  • id: 3010844
    {'lmfdb_iso': '59290.z', 'p': 29, 'prec': 20, 'unit': 1530545247496098701501275675, 'val': 1}
  • id: 3010856
    {'lmfdb_iso': '59290.z', 'p': 31, 'prec': 20, 'unit': 19859287325570854694270266997, 'val': 1}
  • id: 3010841
    {'lmfdb_iso': '59290.z', 'p': 37, 'prec': 20, 'unit': 282314346787494580233867025044, 'val': 1}
  • id: 3010842
    {'lmfdb_iso': '59290.z', 'p': 41, 'prec': 20, 'unit': 3559218405236662913671716201289, 'val': 1}
  • id: 3010843
    {'lmfdb_iso': '59290.z', 'p': 43, 'prec': 20, 'unit': 775247677038072416377742210319, 'val': 1}
  • id: 3010854
    {'lmfdb_iso': '59290.z', 'p': 47, 'prec': 20, 'unit': 376312536143935199424167908122, 'val': 1}
  • id: 3010849
    {'lmfdb_iso': '59290.z', 'p': 53, 'prec': 20, 'unit': 237746092679622865462148515788803, 'val': 1}
  • id: 3010850
    {'lmfdb_iso': '59290.z', 'p': 59, 'prec': 20, 'unit': 1537416261682072867063351829085248, 'val': 1}
  • id: 3010855
    {'lmfdb_iso': '59290.z', 'p': 61, 'prec': 20, 'unit': 6385677881831341907936142515629349, 'val': 1}
  • id: 3010840
    {'lmfdb_iso': '59290.z', 'p': 67, 'prec': 20, 'unit': 5968627548890169581412008354258200, 'val': 1}
  • id: 3010851
    {'lmfdb_iso': '59290.z', 'p': 73, 'prec': 20, 'unit': 224318605308535941758899632688964893, 'val': 1}
  • id: 3010846
    {'lmfdb_iso': '59290.z', 'p': 79, 'prec': 20, 'unit': 1041567794941073529681605001499472094, 'val': 1}
  • id: 3010839
    {'lmfdb_iso': '59290.z', 'p': 83, 'prec': 20, 'unit': 1018840365915999010070961604346520864, 'val': 1}
  • id: 3010853
    {'lmfdb_iso': '59290.z', 'p': 89, 'prec': 20, 'unit': 6766487837942728816840615905960298642, 'val': 1}
  • id: 3010838
    {'lmfdb_iso': '59290.z', 'p': 97, 'prec': 20, 'unit': 38992470429525256900853560912409776336, 'val': 1}