Elliptic curve data - 37440.fw4

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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': '37440fh', 'Clabel': '37440fh4', 'Cnumber': 4, 'abc_quality': 1.0187728994158647, 'absD': 1475868103173734400, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 64788, -58103984], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 663552, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1660499079316090501219233061', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 152, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [157376536199, 7722894400], 'lmfdb_iso': '37440.fw', 'lmfdb_label': '37440.fw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 112, -4194], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0.b.2', '24.96.0-12.b.2.2', '260.12.0.?', '520.24.0.?', '780.96.3.?', '1560.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57702299275763624029845250545', 'prec': 103}, 'szpiro_ratio': 4.679612444069576, '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, 1, 0, 4, 0, 0, 0, 6, 0, -1, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, 1, 4, 6, -1, 6, 2, 6, -6, -2, -2, 6, 2, -12, 6, -6, -2, -4, -6, -10, 4, 0, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '37440.fw', 'trace_hash': 1566037310014712717}
• 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': '0.013139927074023019606928692141', 'prec': 107}, 'conductor': 37440, 'gens': [], 'heights': [], 'lmfdb_label': '37440.fw4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12874208497626684591448928907', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6347150591456064529216144063809679412', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[332, 0, 1]], 'xcoord_integral_points': [332]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '37440.fw4'}
• ec_torsion_growth •

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

  
  
  • id: 1853614
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [2, 2]}
  • id: 1853615
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [6]}
  • id: 1853616
    {'degree': 4, 'field': [-144, 0, -42, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [4]}
  • id: 1853617
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [2, 6]}
  • id: 1853618
    {'degree': 6, 'field': [-384, 0, 48, 0, 18, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [6]}
  • id: 1853619
    {'degree': 8, 'field': [25, 80, 0, -168, 105, -28, 14, -4, 1], 'lmfdb_label': '37440.fw4', 'torsion': [2, 4]}
  • id: 1853620
    {'degree': 8, 'field': [1296, 0, 0, 0, 513, 0, 0, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [2, 4]}
  • id: 1853621
    {'degree': 8, 'field': [2434, -3304, 2485, -946, 57, 76, -17, -2, 1], 'lmfdb_label': '37440.fw4', 'torsion': [12]}
  • id: 1853622
    {'degree': 12, 'field': [1089, -1980, 3204, -1380, 546, 840, 94, 0, 24, -20, -6, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [3, 6]}
  • id: 1853623
    {'degree': 12, 'field': [2304, 0, 0, 0, 1008, 0, 0, 0, 57, 0, 0, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [2, 6]}
  • id: 1853626
    {'degree': 16, 'field': [625, 0, -300, 0, -31, 0, 116, 0, -24, 0, -4, 0, 9, 0, -4, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [2, 12]}
  • id: 1853627
    {'degree': 16, 'field': [38416, 0, 0, 0, 276833, 0, 0, 0, 9363, 0, 0, 0, 323, 0, 0, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [2, 12]}
  • id: 1853625
    {'degree': 16, 'field': [65536, 0, 163712, 0, -171312, 0, 67624, 0, -77200, 0, -86, 0, 513, 0, 62, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [8]}
  • id: 1853624
    {'degree': 16, 'field': [372100, 0, -322280, 0, 166736, 0, -31388, 0, 11269, 0, -784, 0, 314, 0, -28, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [4, 4]}
  • id: 1853628
    {'degree': 18, 'field': [198874824, -225217152, 211095516, -143564312, 77921370, -30316308, 14920033, -8848140, 4161372, -1025960, 84747, 18384, 4618, -3396, 855, -44, 24, 0, 1], 'lmfdb_label': '37440.fw4', 'torsion': [18]}
• 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: 884330
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '37440.fw4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 884331
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '37440.fw4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 884332
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.fw4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 884333
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '37440.fw4', '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: 1914353
    {'adelic_gens': [[13, 24, 852, 253], [1537, 24, 1536, 25], [779, 1536, 0, 1559], [1169, 1536, 1365, 1559], [1, 24, 0, 1], [15, 16, 314, 335], [1039, 1536, 260, 1559], [1081, 6, 492, 73], [1, 0, 24, 1], [957, 10, 524, 101]], 'adelic_image': '1560.384.9.?', 'conductor': 37440, 'lmfdb_label': '37440.fw4', 'prime': 0}
  • id: 165625
    {'conductor': 37440, 'elladic_image': '4.6.0.5', 'lmfdb_label': '37440.fw4', 'modell_image': '2B', 'prime': 2}
  • id: 165626
    {'conductor': 37440, 'elladic_image': '3.4.0.1', 'lmfdb_label': '37440.fw4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 37440.fw does not appear in ec_padic