Elliptic curve data - 37440.dt4

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '37440fb', 'Clabel': '37440fb1', 'Cnumber': 1, 'abc_quality': 1.102611128088335, 'absD': 782387814334464000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 2302548, 50666704], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 1105920, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6985332341408866141304510393', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7064514799444439, 4094064000000], 'lmfdb_iso': '37440.dt', 'lmfdb_label': '37440.dt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3997, 3998], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.14', '40.6.0.c.1', '60.24.0-6.a.1.8', '78.24.0.?', '120.48.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 2, 832], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1095063189669138043069802387', 'prec': 100}, 'szpiro_ratio': 5.276312659599003, '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, -2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, 1, -2, 0, -1, 0, 2, -6, 0, -8, -2, -6, -4, 0, -6, 0, -14, -4, 0, -4, 16, 12, 6, -4], 'class_deg': 6, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '37440.dt', 'trace_hash': 720976892787259804}
• 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': '0.0045298499290464065298939622007', 'prec': 110}, 'conductor': 37440, 'gens': [], 'heights': [], 'lmfdb_label': '37440.dt4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.095656478313527579442677356228', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1478777397623309533121282747319891538', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-22, 0, 1]], 'xcoord_integral_points': [-22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '37440.dt4'}
• ec_torsion_growth •

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

  
  
  • id: 1853400
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [6]}
  • id: 1853399
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '37440.dt4', 'torsion': [2, 2]}
  • id: 1853401
    {'degree': 4, 'field': [-39, 0, -2, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [4]}
  • id: 1853402
    {'degree': 4, 'field': [64, 0, 10, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [2, 6]}
  • id: 1853403
    {'degree': 6, 'field': [242, 0, 108, 0, 18, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [6]}
  • id: 1853406
    {'degree': 8, 'field': [225, 0, 30, 0, 31, 0, -22, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [12]}
  • id: 1853405
    {'degree': 8, 'field': [10000, 0, -2640, 0, 641, 0, -42, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [2, 4]}
  • id: 1853404
    {'degree': 8, 'field': [28200, -14640, 5484, -1752, 202, -116, 33, -2, 1], 'lmfdb_label': '37440.dt4', 'torsion': [2, 4]}
  • id: 1853408
    {'degree': 12, 'field': [324, 0, 144, 0, 460, 0, -316, 0, 72, 0, -10, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [2, 6]}
  • id: 1853407
    {'degree': 12, 'field': [675, -2250, 489, 3354, -1160, -906, 821, -534, 252, -90, 29, -6, 1], 'lmfdb_label': '37440.dt4', 'torsion': [3, 6]}
  • id: 1853410
    {'degree': 16, 'field': [75000, -66000, 13200, -28560, 40570, 2124, -18, -10472, -3447, 1200, 1038, 312, 96, -44, 0, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [2, 12]}
  • id: 1853411
    {'degree': 16, 'field': [274585, -134900, 225096, -191028, 129798, -62856, 57856, -33692, 12495, -5208, 3840, -1932, 686, -196, 48, -8, 1], 'lmfdb_label': '37440.dt4', 'torsion': [2, 12]}
  • id: 1853409
    {'degree': 16, 'field': [27311076, 0, -19801392, 0, 6467188, 0, -12064, 0, -365635, 0, 22436, 0, 398, 0, -52, 0, 1], 'lmfdb_label': '37440.dt4', 'torsion': [8]}
  • id: 1853412
    {'degree': 18, 'field': [-1223280, -13878720, 51400800, 172854768, -48892872, 91785456, -36800516, 5995776, 1013856, -270228, -165672, 70404, -7451, -4332, 1002, 162, -33, -6, 1], 'lmfdb_label': '37440.dt4', '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: 884254
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 28, 'j_denominator_valuation': 10, 'kodaira_symbol': -22, 'lmfdb_label': '37440.dt4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 884255
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '37440.dt4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 884256
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '37440.dt4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 884257
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.dt4', 'prime': 13, '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: 1914206
    {'adelic_gens': [[1450, 3, 453, 1552], [779, 1548, 1554, 1487], [1294, 1549, 531, 20], [937, 12, 942, 73], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 1510, 1551], [1549, 12, 1548, 13], [1485, 1232, 1522, 1243]], 'adelic_image': '1560.96.1.?', 'conductor': 37440, 'lmfdb_label': '37440.dt4', 'prime': 0}
  • id: 165477
    {'conductor': 37440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37440.dt4', 'modell_image': '2B', 'prime': 2}
  • id: 165478
    {'conductor': 37440, 'elladic_image': '3.4.0.1', 'lmfdb_label': '37440.dt4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 37440.dt does not appear in ec_padic