Elliptic curve data - 337590.bg2

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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': '337590bg', 'Clabel': '337590bg1', 'Cnumber': 1, 'abc_quality': 0.9767197520246752, 'absD': 9650799184793184000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1860, 'ainvs': [1, -1, 0, 509085, -52980075], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 337590, 'degree': 9830400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3315899752867981620319039848', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [11298232190519, 7472736000], 'lmfdb_iso': '337590.bg', 'lmfdb_label': '337590.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 467, -1432], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '124.6.0.?', '1860.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1488313963179050711749392402', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58333619455355804430330957736', 'prec': 103}, 'szpiro_ratio': 4.009141150407992, '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, 2, -1, 0, 1, 0, 0, 4, -2, 0, 1, 2, 0, 8, -1], 'aplist': [-1, 0, -1, 2, 0, 4, 2, 8, 8, 4, -1, -12, 10, -8, 4, -6, -2, -10, -6, -6, 4, 8, 4, 0, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 337590, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '337590.bg', 'trace_hash': 367001158521478665}
• 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': '0.0094364073313118703131483644966', 'prec': 110}, 'conductor': 337590, 'gens': [[1693, 187258, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '7.1488313963179050711749392402', 'prec': 100}], 'lmfdb_label': '337590.bg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13093901072196794131221162214', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4884872868160897702509378657854853093', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[102, -51, 1]], 'xcoord_integral_points': [102]}
• lmfdb_label 337590.bg2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14129364
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '337590.bg2', 'torsion': [2, 2]}
  • id: 14129365
    {'degree': 4, 'field': [-1047, 104, -103, -2, 1], 'lmfdb_label': '337590.bg2', 'torsion': [4]}
  • id: 14129368
    {'degree': 8, 'field': [-11970, -10803, 732, -477, -1527, 141, 51, -4, 1], 'lmfdb_label': '337590.bg2', 'torsion': [6]}
  • id: 14129367
    {'degree': 8, 'field': [77841, 0, -44919, 0, 14092, 0, 169, 0, 1], 'lmfdb_label': '337590.bg2', 'torsion': [2, 4]}
  • id: 14129366
    {'degree': 8, 'field': [352036, -160926, 38929, -10827, 2049, -384, 61, -3, 1], 'lmfdb_label': '337590.bg2', 'torsion': [2, 4]}
  • id: 14129370
    {'degree': 16, 'field': [732699064, 1762142514, 511916377, -825763604, 564729238, -116967890, 28380639, -2032220, 670503, 266182, 59211, -22724, 1987, -560, 118, 0, 1], 'lmfdb_label': '337590.bg2', 'torsion': [2, 6]}
  • id: 14129369
    {'degree': 16, 'field': [159464994923025, 0, -11342355631200, 0, 10346879970, 0, 18157122660, 0, -530722781, 0, 3838196, 0, 15990, 0, 116, 0, 1], 'lmfdb_label': '337590.bg2', '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: 8353901
    {'conductor': 337590, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '337590.bg2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8353902
    {'conductor': 337590, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '337590.bg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8353903
    {'conductor': 337590, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '337590.bg2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8353904
    {'conductor': 337590, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '337590.bg2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8353905
    {'conductor': 337590, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '337590.bg2', 'prime': 31, '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: 3774418
    {'adelic_gens': [[374, 1, 743, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1801, 4, 1742, 9], [622, 1, 619, 0], [1, 0, 4, 1], [1857, 4, 1856, 5], [3, 4, 8, 11], [469, 1396, 464, 1395]], 'adelic_image': '1860.12.0.?', 'conductor': 337590, 'lmfdb_label': '337590.bg2', 'prime': 0}
  • id: 1172448
    {'conductor': 337590, 'elladic_image': '2.3.0.1', 'lmfdb_label': '337590.bg2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 337590.bg does not appear in ec_padic