Elliptic curve data - 5904.b1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5904v', 'Clabel': '5904v1', 'Cnumber': 1, 'abc_quality': 0.8755235934443263, 'absD': 6610968576, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 984, 'ainvs': [0, 0, 0, -219, 4106], 'analytic_rank': 2, 'bad_primes': [2, 3, 41], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5904, 'degree': 3840, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56824812348767583439687934507', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [-389017, 2214], 'lmfdb_iso': '5904.b', 'lmfdb_label': '5904.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2, 2], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '984.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 24, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.23122685214454472784689594595', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 369], [3, 2, 656], [41, 42, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67420520140632432071797539485', 'prec': 107}, 'szpiro_ratio': 3.4737090962124366, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, -2, 0, 0, 0, -6, 0, -1, 0, 0, 0, -3, 0, -5, 0], 'aplist': [0, 0, -3, -2, -6, -1, -3, -5, -6, 0, 1, 2, 1, -8, -12, -6, -9, -10, 13, 15, -7, 4, 3, -15, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 5904, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '5904.b', 'trace_hash': 636447192444653922}
• 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': '0.32094155407084695115735398372', 'prec': 103}, 'conductor': 5904, 'gens': [[37, 216, 1], [-11, 72, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.34925917399531236341535155670', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.70106575052915844523215600272', 'prec': 103}], 'lmfdb_label': '5904.b1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.1532445301726631528058264496', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2665776394358293445506430843463746196', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-17, -11, 5, 7, 10, 23, 37, 53, 70, 469, 1279, 3013]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 2, 0], '31': [2, 0], '37': [2, 0], '41': [3, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '5904.b1'}
• ec_torsion_growth •

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

  
  
  • id: 307924
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '5904.b1', 'torsion': [3]}
  • id: 307925
    {'degree': 3, 'field': [-12, 0, -1, 1], 'lmfdb_label': '5904.b1', 'torsion': [2]}
  • id: 307928
    {'degree': 6, 'field': [-12, 0, 1, 0, 2, 0, 1], 'lmfdb_label': '5904.b1', 'torsion': [6]}
  • id: 307926
    {'degree': 6, 'field': [144, -144, 258, 36, -11, -2, 1], 'lmfdb_label': '5904.b1', 'torsion': [2, 2]}
  • id: 307927
    {'degree': 6, 'field': [6724, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '5904.b1', 'torsion': [3]}
  • id: 307929
    {'degree': 12, 'field': [-3936, 0, -652, 0, -15, 0, -3260, 0, -10, 0, 0, 0, 1], 'lmfdb_label': '5904.b1', 'torsion': [4]}
  • id: 307931
    {'degree': 12, 'field': [9216, 9216, 33408, -20928, 13336, -4256, 1156, -380, 273, -64, 10, -4, 1], 'lmfdb_label': '5904.b1', 'torsion': [2, 6]}
  • id: 307930
    {'degree': 12, 'field': [59049, 0, 13365, 0, 2782, 0, -431, 0, -54, 0, 1, 0, 1], 'lmfdb_label': '5904.b1', 'torsion': [3, 3]}
  • id: 307932
    {'degree': 18, 'field': [-98271, -292410, -183006, 155088, 182439, 5562, 6186, 43326, -30438, -16860, 4887, 1782, -1235, 606, -183, -2, 15, -6, 1], 'lmfdb_label': '5904.b1', 'torsion': [9]}
  • id: 307933
    {'degree': 18, 'field': [729, 0, 5913, 0, 4752, 0, 268056, 0, 45114, 0, 4882, 0, -884, 0, -36, 0, 1, 0, 1], 'lmfdb_label': '5904.b1', 'torsion': [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: 116952
    {'conductor': 5904, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '5904.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 116953
    {'conductor': 5904, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '5904.b1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 116954
    {'conductor': 5904, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5904.b1', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1702612
    {'adelic_gens': [[4, 3, 9, 7], [493, 6, 495, 19], [737, 978, 0, 983], [457, 6, 387, 19], [450, 527, 653, 186], [1, 6, 0, 1], [3, 4, 8, 11], [979, 6, 978, 7], [1, 0, 6, 1]], 'adelic_image': '984.16.0.?', 'conductor': 5904, 'lmfdb_label': '5904.b1', 'prime': 0}
  • id: 29113
    {'conductor': 5904, 'elladic_image': '3.4.0.1', 'lmfdb_label': '5904.b1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 227330
    {'lmfdb_iso': '5904.b', 'p': 5, 'prec': 20, 'unit': 1647818637519, 'val': 3}
  • id: 227331
    {'lmfdb_iso': '5904.b', 'p': 7, 'prec': 20, 'unit': 11277100762877357, 'val': 2}
  • id: 227329
    {'lmfdb_iso': '5904.b', 'p': 11, 'prec': 20, 'unit': 51072148624226278661, 'val': 2}
  • id: 227335
    {'lmfdb_iso': '5904.b', 'p': 13, 'prec': 20, 'unit': 537576257846383895702, 'val': 2}
  • id: 227337
    {'lmfdb_iso': '5904.b', 'p': 17, 'prec': 20, 'unit': 1085711920519076764144, 'val': 2}
  • id: 227338
    {'lmfdb_iso': '5904.b', 'p': 19, 'prec': 20, 'unit': 602021826326221245190048, 'val': 2}
  • id: 227341
    {'lmfdb_iso': '5904.b', 'p': 23, 'prec': 20, 'unit': 23143939614895081964794399, 'val': 2}
  • id: 227332
    {'lmfdb_iso': '5904.b', 'p': 31, 'prec': 20, 'unit': 492168984594709547479866371, 'val': 0}
  • id: 227347
    {'lmfdb_iso': '5904.b', 'p': 37, 'prec': 20, 'unit': 475739332689417764731150567307, 'val': 2}
  • id: 227334
    {'lmfdb_iso': '5904.b', 'p': 43, 'prec': 20, 'unit': 2760119808316407576212775799467, 'val': 2}
  • id: 227345
    {'lmfdb_iso': '5904.b', 'p': 47, 'prec': 20, 'unit': 35062426882412481128698739457239, 'val': 2}
  • id: 227339
    {'lmfdb_iso': '5904.b', 'p': 53, 'prec': 20, 'unit': 384783064405283776243149498500118, 'val': 2}
  • id: 227340
    {'lmfdb_iso': '5904.b', 'p': 59, 'prec': 20, 'unit': 3699814848499826924096350412259298, 'val': 2}
  • id: 227346
    {'lmfdb_iso': '5904.b', 'p': 61, 'prec': 20, 'unit': 3452168774743647466279168840768167, 'val': 2}
  • id: 227328
    {'lmfdb_iso': '5904.b', 'p': 67, 'prec': 20, 'unit': 24421988920979017504866402619440508, 'val': 2}
  • id: 227344
    {'lmfdb_iso': '5904.b', 'p': 71, 'prec': 20, 'unit': 39077898823947569821227059163172587, 'val': 2}
  • id: 227333
    {'lmfdb_iso': '5904.b', 'p': 73, 'prec': 20, 'unit': 17682723574808092963136658983637399, 'val': 2}
  • id: 227336
    {'lmfdb_iso': '5904.b', 'p': 79, 'prec': 20, 'unit': 1117194427492918504306234056218541176, 'val': 2}
  • id: 227342
    {'lmfdb_iso': '5904.b', 'p': 83, 'prec': 20, 'unit': 2494565787524319817112386510327881486, 'val': 2}
  • id: 227343
    {'lmfdb_iso': '5904.b', 'p': 89, 'prec': 20, 'unit': 9200188380262692839670391969706058736, 'val': 2}
  • id: 227327
    {'lmfdb_iso': '5904.b', 'p': 97, 'prec': 20, 'unit': 45060357535643912550285954251699558032, 'val': 2}