Elliptic curve data - 6006.a1

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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': '6006c', 'Clabel': '6006c2', 'Cnumber': 2, 'abc_quality': 0.9452579673175276, 'absD': 1275513751512, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24024, 'ainvs': [1, 1, 0, -2977, -32195], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6006, 'degree': 13824, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0188643897945661611756290261', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [2919363263895961, 1275513751512], 'lmfdb_iso': '6006.a', 'lmfdb_label': '6006.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2977, -32195], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '88.6.0.?', '1092.6.0.?', '24024.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1164687361895357764137913415', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0188643897945661611756290261', 'prec': 100}, 'szpiro_ratio': 4.0928778357055, '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, -1, 1, -4, 1, -1, -1, 1, 4, -1, -1, -1, 1, 4, 1, 2, -1, -4, -4], 'aplist': [-1, -1, -4, -1, -1, -1, 2, -4, -2, -2, 0, 4, -8, 8, 2, -4, 8, 10, -4, 0, 2, 8, 6, 2, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 6006, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6006.a', 'trace_hash': 958565071100239197}
• 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': '0.13032437036740964676124572085', 'prec': 103}, 'conductor': 6006, 'gens': [[-29, 190, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1164687361895357764137913415', 'prec': 100}], 'lmfdb_label': '6006.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.67268322804282670773567564568', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5020595869377440523206476536999900929', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[235, -235, 2]], 'xcoord_integral_points': [-29, -27, 59, 30157]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': [1, 0], '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, 0]}, 'iwp0': 0, 'lmfdb_label': '6006.a1'}
• ec_torsion_growth •

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

  
  
  • id: 312398
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '6006.a1', 'torsion': [2, 2]}
  • id: 312399
    {'degree': 4, 'field': [792, 0, -75, 0, 1], 'lmfdb_label': '6006.a1', 'torsion': [4]}
  • id: 312401
    {'degree': 8, 'field': [-379154, -722524, -266658, 17072, 14399, -44, -230, 0, 1], 'lmfdb_label': '6006.a1', 'torsion': [2, 4]}
  • id: 312402
    {'degree': 8, 'field': [-48, 0, -233, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '6006.a1', 'torsion': [6]}
  • id: 312400
    {'degree': 8, 'field': [52353, -52692, 55870, -6432, 3407, -232, 82, -4, 1], 'lmfdb_label': '6006.a1', 'torsion': [2, 4]}
  • id: 312403
    {'degree': 16, 'field': [-31016261794712, -18143956850324, -3390886584481, 1549081980708, 1008415971911, 199795916756, 10106478994, -3255352644, -990176060, -125362104, -1552370, 1399420, 117140, -2688, -631, -4, 1], 'lmfdb_label': '6006.a1', 'torsion': [8]}
  • id: 312404
    {'degree': 16, 'field': [59969536, 0, 33903232, 0, -480128, 0, -10303392, 0, 702768, 0, -12936, 0, 220, 0, -44, 0, 1], 'lmfdb_label': '6006.a1', '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: 118991
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6006.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 118992
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6006.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 118993
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6006.a1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 118994
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6006.a1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 118995
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6006.a1', 'prime': 13, 'reduction_type': -1, '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: 1703252
    {'adelic_gens': [[8738, 1, 19655, 0], [1, 2, 2, 5], [1, 4, 0, 1], [8009, 4, 16018, 9], [24021, 4, 24020, 5], [3433, 4, 6866, 9], [2, 1, 12011, 0], [1, 0, 4, 1], [3, 4, 8, 11], [12937, 4, 1850, 9], [3004, 21025, 9009, 15016]], 'adelic_image': '24024.12.0.?', 'conductor': 6006, 'lmfdb_label': '6006.a1', 'prime': 0}
  • id: 29486
    {'conductor': 6006, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6006.a1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 231772
    {'lmfdb_iso': '6006.a', 'p': 5, 'prec': 20, 'unit': 16767548550588, 'val': -1}
  • id: 231763
    {'lmfdb_iso': '6006.a', 'p': 17, 'prec': 20, 'unit': 209424782830775824306130, 'val': 1}
  • id: 231755
    {'lmfdb_iso': '6006.a', 'p': 19, 'prec': 20, 'unit': 522248893014231506282550, 'val': 1}
  • id: 231768
    {'lmfdb_iso': '6006.a', 'p': 23, 'prec': 20, 'unit': 3154012330145281449433745, 'val': 1}
  • id: 231761
    {'lmfdb_iso': '6006.a', 'p': 29, 'prec': 20, 'unit': 3612698921353350844612457534, 'val': 1}
  • id: 231758
    {'lmfdb_iso': '6006.a', 'p': 37, 'prec': 20, 'unit': 480416726191615132975858130126, 'val': 1}
  • id: 231759
    {'lmfdb_iso': '6006.a', 'p': 41, 'prec': 20, 'unit': 3240444763018214587939104887959, 'val': 1}
  • id: 231760
    {'lmfdb_iso': '6006.a', 'p': 43, 'prec': 20, 'unit': 1042126928596613067313063961344, 'val': 1}
  • id: 231770
    {'lmfdb_iso': '6006.a', 'p': 47, 'prec': 20, 'unit': 48811440616038133052927702244524, 'val': 1}
  • id: 231765
    {'lmfdb_iso': '6006.a', 'p': 53, 'prec': 20, 'unit': 478954387286861076144612721593622, 'val': 1}
  • id: 231766
    {'lmfdb_iso': '6006.a', 'p': 59, 'prec': 20, 'unit': 549752113838670452964452877711750, 'val': 1}
  • id: 231771
    {'lmfdb_iso': '6006.a', 'p': 61, 'prec': 20, 'unit': 5532106121218239249377306766774023, 'val': 1}
  • id: 231757
    {'lmfdb_iso': '6006.a', 'p': 67, 'prec': 20, 'unit': 32017819436461208076334364515754822, 'val': 1}
  • id: 231767
    {'lmfdb_iso': '6006.a', 'p': 73, 'prec': 20, 'unit': 836359312399080928401078322251992, 'val': 1}
  • id: 231762
    {'lmfdb_iso': '6006.a', 'p': 79, 'prec': 20, 'unit': 712790683529796748475595438353397014, 'val': 1}
  • id: 231764
    {'lmfdb_iso': '6006.a', 'p': 83, 'prec': 20, 'unit': 360670187562949387621265764456895449, 'val': 1}
  • id: 231769
    {'lmfdb_iso': '6006.a', 'p': 89, 'prec': 20, 'unit': 5474408883548698799492842360148742376, 'val': 1}
  • id: 231756
    {'lmfdb_iso': '6006.a', 'p': 97, 'prec': 20, 'unit': 34310472586768442172487363809304678772, 'val': 1}