Elliptic curve data - 3600.bi1

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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': '3600r', 'Clabel': '3600r2', 'Cnumber': 2, 'abc_quality': 1.013438728972183, 'absD': 2125764000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 0, 0, -37875, -1768750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3600, 'degree': 15360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6422257732195531997404266457', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [2060602, 729], 'lmfdb_iso': '3600.bi', 'lmfdb_label': '3600.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -168, -468], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.j.1', '40.6.0.b.1', '60.6.0.c.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3330690303784564056951429306', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 6, 400], [5, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74954372095336012720689491735', 'prec': 107}, 'szpiro_ratio': 5.280423032800568, '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, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 0, 0, 2, 2, 2, -6, -8, -4, -8, 0, -10, -2, 12, 0, -10, -6, 2, 8, -4, 4, 8, 4, -6, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 3600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3600.bi', 'trace_hash': 2057796573684040352}
• 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': '0.037461125147741842042963043681', 'prec': 107}, 'conductor': 3600, 'gens': [[-131, 972, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3330690303784564056951429306', 'prec': 100}], 'lmfdb_label': '3600.bi1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35221033260695792270211683889', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7561654926210482063555677565312948570', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-50, 0, 1]], 'xcoord_integral_points': [-131, -50, 311, 325]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '3600.bi1'}
• ec_torsion_growth •

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

  
  
  • id: 187514
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '3600.bi1', 'torsion': [2, 2]}
  • id: 187515
    {'degree': 4, 'field': [6, -6, 1, -1, 1], 'lmfdb_label': '3600.bi1', 'torsion': [4]}
  • id: 187518
    {'degree': 8, 'field': [-4, -8, -80, -68, 44, 8, -10, -2, 1], 'lmfdb_label': '3600.bi1', 'torsion': [6]}
  • id: 187516
    {'degree': 8, 'field': [36, 0, -6, 0, 1, 0, 4, 0, 1], 'lmfdb_label': '3600.bi1', 'torsion': [2, 4]}
  • id: 187517
    {'degree': 8, 'field': [81, 0, -108, 0, -36, 0, -12, 0, 1], 'lmfdb_label': '3600.bi1', 'torsion': [2, 4]}
  • id: 187519
    {'degree': 16, 'field': [36, 0, 144, 0, 345, 0, 231, 0, 109, 0, -4, 0, -15, 0, -1, 0, 1], 'lmfdb_label': '3600.bi1', 'torsion': [8]}
  • id: 187520
    {'degree': 16, 'field': [6071, -4120, -5238, 296, 1108, 1584, 1520, -1480, -1464, 1136, 490, -492, -10, 80, -12, -4, 1], 'lmfdb_label': '3600.bi1', '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: 66207
    {'conductor': 3600, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '3600.bi1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 66208
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '3600.bi1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 66209
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '3600.bi1', 'prime': 5, '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: 1687359
    {'adelic_gens': [[41, 4, 82, 9], [2, 1, 59, 0], [1, 2, 2, 5], [117, 4, 116, 5], [3, 4, 8, 11], [28, 1, 23, 0], [17, 106, 104, 15], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 3600, 'lmfdb_label': '3600.bi1', 'prime': 0}
  • id: 17967
    {'conductor': 3600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3600.bi1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 121867
    {'lmfdb_iso': '3600.bi', 'p': 7, 'prec': 20, 'unit': 6029775388359711, 'val': 1}
  • id: 121873
    {'lmfdb_iso': '3600.bi', 'p': 11, 'prec': 20, 'unit': 7999703952835103061, 'val': 1}
  • id: 121871
    {'lmfdb_iso': '3600.bi', 'p': 13, 'prec': 20, 'unit': 1079313200245979345947, 'val': 1}
  • id: 121874
    {'lmfdb_iso': '3600.bi', 'p': 17, 'prec': 20, 'unit': 17507005293346369400820, 'val': 1}
  • id: 121875
    {'lmfdb_iso': '3600.bi', 'p': 19, 'prec': 20, 'unit': 113560451048551936742332, 'val': 1}
  • id: 121878
    {'lmfdb_iso': '3600.bi', 'p': 23, 'prec': 20, 'unit': 21346044790122951044247145, 'val': 1}
  • id: 121870
    {'lmfdb_iso': '3600.bi', 'p': 29, 'prec': 20, 'unit': 5907839965261661028189816270, 'val': 1}
  • id: 121866
    {'lmfdb_iso': '3600.bi', 'p': 37, 'prec': 20, 'unit': 76168982757223526898137443587, 'val': 1}
  • id: 121868
    {'lmfdb_iso': '3600.bi', 'p': 41, 'prec': 20, 'unit': 576669686345977816326885620149, 'val': 1}
  • id: 121869
    {'lmfdb_iso': '3600.bi', 'p': 43, 'prec': 20, 'unit': 9646125800139566981303984748402, 'val': 1}
  • id: 121876
    {'lmfdb_iso': '3600.bi', 'p': 53, 'prec': 20, 'unit': 575258970783009267993578876741501, 'val': 1}
  • id: 121881
    {'lmfdb_iso': '3600.bi', 'p': 59, 'prec': 20, 'unit': 1221354635058231704504790415665214, 'val': 1}
  • id: 121882
    {'lmfdb_iso': '3600.bi', 'p': 61, 'prec': 20, 'unit': 3318289047682149532747089284904076, 'val': 1}
  • id: 121865
    {'lmfdb_iso': '3600.bi', 'p': 67, 'prec': 20, 'unit': 1815504644146025437863587932997280, 'val': 1}
  • id: 121880
    {'lmfdb_iso': '3600.bi', 'p': 71, 'prec': 20, 'unit': 129721657576255472997725645328735398, 'val': 1}
  • id: 121877
    {'lmfdb_iso': '3600.bi', 'p': 73, 'prec': 20, 'unit': 138297561106327954104555959134868059, 'val': 1}
  • id: 121872
    {'lmfdb_iso': '3600.bi', 'p': 79, 'prec': 20, 'unit': 1009889796481541868314277726378976524, 'val': 1}
  • id: 121864
    {'lmfdb_iso': '3600.bi', 'p': 83, 'prec': 20, 'unit': 2072985200346975526092650255004370975, 'val': 1}
  • id: 121879
    {'lmfdb_iso': '3600.bi', 'p': 89, 'prec': 20, 'unit': 8558933346098439952041241397488346705, 'val': 1}
  • id: 121863
    {'lmfdb_iso': '3600.bi', 'p': 97, 'prec': 20, 'unit': 50190670638217704796960354150191896841, 'val': 1}