Elliptic curve data - 38640.bj3

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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': '38640m', 'Clabel': '38640m2', 'Cnumber': 2, 'abc_quality': 0.9046466342741584, 'absD': 1343744640000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1288, 'ainvs': [0, -1, 0, -10760, -422400], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 38640, 'degree': 81920, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1466724705193459562491292018', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2], 'jinv': [134555337776164, 1312250625], 'lmfdb_iso': '38640.bj', 'lmfdb_label': '38640.bj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10760, 422400], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '28.24.0-28.b.1.2', '184.24.0.?', '1288.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4482528121480302792426198301', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56904982005272486506810243392', 'prec': 103}, 'szpiro_ratio': 3.7364425984555463, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 1, 0, 1, 0, 1, 0, -4, 0, 2, 0, -1, 0, -2, 0, 8, 0], 'aplist': [0, -1, 1, 1, -4, 2, -2, 8, -1, -2, 4, 6, -6, -4, 12, -10, -12, -2, 4, 8, -14, -8, 0, -10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 38640, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '38640.bj', 'trace_hash': 1162625257002731242}
• 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': '0.10092829739517281285326525574', 'prec': 103}, 'conductor': 38640, 'gens': [[-60, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4482528121480302792426198301', 'prec': 100}], 'lmfdb_label': '38640.bj3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.46902806946655040464974133783', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4341697646503465565558889254814706403', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-55, 0, 1], [120, 0, 1]], 'xcoord_integral_points': [-64, -60, -55, 120, 260, 350, 11712]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [2, 0], '11': [1, 0], '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': '38640.bj3'}
• ec_torsion_growth •

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

  
  
  • id: 1903550
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 4]}
  • id: 1903551
    {'degree': 4, 'field': [529, 0, 0, 0, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 4]}
  • id: 1903552
    {'degree': 4, 'field': [1521, 0, -106, 0, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 4]}
  • id: 1903555
    {'degree': 8, 'field': [-19683, 0, 232632, 0, -486, 0, 0, 0, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 6]}
  • id: 1903554
    {'degree': 8, 'field': [43906, -13198, 15931, -5374, 2458, 272, -86, -4, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 8]}
  • id: 1903553
    {'degree': 8, 'field': [280386, 10548, -9466, -2172, 1107, -28, 14, -4, 1], 'lmfdb_label': '38640.bj3', 'torsion': [4, 4]}
  • id: 1903556
    {'degree': 16, 'field': [78310985281, 0, 0, 0, 823851904, 0, 0, 0, -777630, 0, 0, 0, 2944, 0, 0, 0, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 8]}
  • id: 1903558
    {'degree': 16, 'field': [704798867529, 0, 217775624292, 0, 19881024004, 0, -946981944, 0, 10137054, 0, -154572, 0, 4404, 0, 0, 0, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 12]}
  • id: 1903557
    {'degree': 16, 'field': [91061806402161, 0, -21383586598304, 0, 973995409408, 0, 5348613200, 0, 115001426, 0, -4655200, 0, 45632, 0, -368, 0, 1], 'lmfdb_label': '38640.bj3', 'torsion': [2, 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: 911413
    {'conductor': 38640, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '38640.bj3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 911414
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '38640.bj3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 911415
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '38640.bj3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 911416
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '38640.bj3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 911417
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '38640.bj3', 'prime': 23, '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: 1921650
    {'adelic_gens': [[1, 4, 0, 1], [1285, 4, 1284, 5], [281, 2, 0, 1], [645, 2, 0, 1], [1, 0, 4, 1], [321, 1286, 0, 1287], [185, 4, 370, 9]], 'adelic_image': '1288.48.0.?', 'conductor': 38640, 'lmfdb_label': '38640.bj3', 'prime': 0}
  • id: 169865
    {'conductor': 38640, 'elladic_image': '4.12.0.1', 'lmfdb_label': '38640.bj3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1905867
    {'lmfdb_iso': '38640.bj', 'p': 11, 'prec': 20, 'unit': 35510260551272121913, 'val': 1}
  • id: 1905873
    {'lmfdb_iso': '38640.bj', 'p': 13, 'prec': 20, 'unit': 1450415644191402898086, 'val': 1}
  • id: 1905875
    {'lmfdb_iso': '38640.bj', 'p': 17, 'prec': 20, 'unit': 18621126101710615408975, 'val': 1}
  • id: 1905876
    {'lmfdb_iso': '38640.bj', 'p': 19, 'prec': 20, 'unit': 1882768931209163414518415, 'val': 1}
  • id: 1905872
    {'lmfdb_iso': '38640.bj', 'p': 29, 'prec': 20, 'unit': 5279435246593213774958239315, 'val': 1}
  • id: 1905883
    {'lmfdb_iso': '38640.bj', 'p': 31, 'prec': 20, 'unit': 8021354290121864567246401292, 'val': 1}
  • id: 1905868
    {'lmfdb_iso': '38640.bj', 'p': 37, 'prec': 20, 'unit': 370993235032371995908672379935, 'val': 1}
  • id: 1905870
    {'lmfdb_iso': '38640.bj', 'p': 41, 'prec': 20, 'unit': 439110004366536732982051830152, 'val': 1}
  • id: 1905871
    {'lmfdb_iso': '38640.bj', 'p': 43, 'prec': 20, 'unit': 8354464271847691023738593257171, 'val': 1}
  • id: 1905881
    {'lmfdb_iso': '38640.bj', 'p': 47, 'prec': 20, 'unit': 44349967213822718737667605829950, 'val': 1}
  • id: 1905877
    {'lmfdb_iso': '38640.bj', 'p': 53, 'prec': 20, 'unit': 138424466278417272071345370601574, 'val': 1}
  • id: 1905878
    {'lmfdb_iso': '38640.bj', 'p': 59, 'prec': 20, 'unit': 2264309282398812106076823903023725, 'val': 1}
  • id: 1905882
    {'lmfdb_iso': '38640.bj', 'p': 61, 'prec': 20, 'unit': 2516500474010272858313640248198398, 'val': 1}
  • id: 1905866
    {'lmfdb_iso': '38640.bj', 'p': 67, 'prec': 20, 'unit': 47246798607265244951024294798728166, 'val': 1}
  • id: 1905869
    {'lmfdb_iso': '38640.bj', 'p': 71, 'prec': 20, 'unit': 124568567451771183243955840657185250, 'val': 1}
  • id: 1905879
    {'lmfdb_iso': '38640.bj', 'p': 73, 'prec': 20, 'unit': 87173452868766744361862757483549054, 'val': 1}
  • id: 1905874
    {'lmfdb_iso': '38640.bj', 'p': 79, 'prec': 20, 'unit': 71007514188053486658528700843191687, 'val': 1}
  • id: 1905880
    {'lmfdb_iso': '38640.bj', 'p': 89, 'prec': 20, 'unit': 84963347269701292762401026061974263, 'val': 1}
  • id: 1905865
    {'lmfdb_iso': '38640.bj', 'p': 97, 'prec': 20, 'unit': 5095180234666158039328864391373966006, 'val': 1}