Elliptic curve data - 37485.t1

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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': '37485bl', 'Clabel': '37485bl2', 'Cnumber': 2, 'abc_quality': 1.0018278381638415, 'absD': 18218010592215, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 7140, 'ainvs': [1, -1, 1, -34187, -2415724], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 37485, 'degree': 98304, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3998298990892567403229188073', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [51520374361, 212415], 'lmfdb_iso': '37485.t', 'lmfdb_label': '37485.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -77, -294], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.a.1', '476.6.0.?', '7140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12243131977245475792738018288', 'prec': 107}, 'szpiro_ratio': 4.0764922642601515, '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, 0, 3, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, -2, -1], 'aplist': [-1, 0, 1, 0, 0, 0, -1, -2, -6, 4, 4, 4, 10, 4, 6, 10, 12, -14, 12, 0, 10, 14, -18, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 37485, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '37485.t', 'trace_hash': 220028655388145035}
• 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': '0.060830753838682466092725260505', 'prec': 107}, 'conductor': 37485, 'gens': [], 'heights': [], 'lmfdb_label': '37485.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35119070642702030199245800099', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4047628257080812079698320039719407926', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-405, 401, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [1, 0], '7': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '37485.t1'}
• ec_torsion_growth •

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

  
  
  • id: 1855682
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '37485.t1', 'torsion': [2, 2]}
  • id: 1855683
    {'degree': 4, 'field': [60, 0, -11, 0, 1], 'lmfdb_label': '37485.t1', 'torsion': [4]}
  • id: 1855686
    {'degree': 8, 'field': [-72259, -42633, 7777, 6356, -420, -119, 77, -3, 1], 'lmfdb_label': '37485.t1', 'torsion': [6]}
  • id: 1855685
    {'degree': 8, 'field': [14400, 0, -2700, 0, 1921, 0, -82, 0, 1], 'lmfdb_label': '37485.t1', 'torsion': [2, 4]}
  • id: 1855684
    {'degree': 8, 'field': [705600, 0, -25200, 0, -3855, 0, -120, 0, 1], 'lmfdb_label': '37485.t1', 'torsion': [2, 4]}
  • id: 1855687
    {'degree': 16, 'field': [3066227920, 7681896600, 10007616724, 7352859626, 2189427034, -381416110, -313646544, 5391365, 19150053, -824386, -572058, 73232, 4516, -1348, 130, -3, 1], 'lmfdb_label': '37485.t1', 'torsion': [8]}
  • id: 1855688
    {'degree': 16, 'field': [64058158081, -37401729336, -44162822717, 37793735840, -5795187377, -309192814, -338695161, -153569884, 27046545, 3035516, -509376, 17276, -392, -70, 43, -6, 1], 'lmfdb_label': '37485.t1', 'torsion': [2, 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: 885376
    {'conductor': 37485, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '37485.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 885377
    {'conductor': 37485, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37485.t1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 885378
    {'conductor': 37485, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '37485.t1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 885379
    {'conductor': 37485, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37485.t1', 'prime': 17, '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: 1914669
    {'adelic_gens': [[5714, 1, 4283, 0], [1, 2, 2, 5], [1, 4, 0, 1], [4762, 1, 4759, 0], [1, 0, 4, 1], [5356, 1789, 1785, 5356], [3, 4, 8, 11], [1261, 4, 2522, 9], [7137, 4, 7136, 5], [6121, 4, 5102, 9]], 'adelic_image': '7140.12.0.?', 'conductor': 37485, 'lmfdb_label': '37485.t1', 'prime': 0}
  • id: 165846
    {'conductor': 37485, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37485.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 37485.t does not appear in ec_padic