Elliptic curve data - 37440.o1

Formats: - HTML - YAML - JSON - 2024-05-04T09:52:57.606023

• 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': '37440k', 'Clabel': '37440k1', 'Cnumber': 1, 'abc_quality': 0.8083120047644469, 'absD': 5322283200, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -783, -7668], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 37440, 'degree': 18432, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.60253524292741170182178944475', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [42144192, 4225], 'lmfdb_iso': '37440.o', 'lmfdb_label': '37440.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -348, 2272], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '52.6.0.e.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56799756385364322143326054367', 'prec': 107}, 'szpiro_ratio': 3.0010936170614393, '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, -4, 0, 1, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, 0, -1, -2, -4, 1, 4, 2, 8, 0, 2, 10, 10, 0, 0, -8, 4, -2, 2, 0, 2, 0, -12, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 37440, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '37440.o', 'trace_hash': 1130994093933926328}
• 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': '0.29967087621093266544814156777', 'prec': 103}, 'conductor': 37440, 'gens': [], 'heights': [], 'lmfdb_label': '37440.o1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.90835384141325297233996911263', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8167076828265059446799382252639636094', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-12, 0, 1]], 'xcoord_integral_points': [-12]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '37440.o1'}
• ec_torsion_growth •

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

  
  
  • id: 1850155
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '37440.o1', 'torsion': [2, 2]}
  • id: 1850156
    {'degree': 4, 'field': [48, 0, -6, 0, 1], 'lmfdb_label': '37440.o1', 'torsion': [4]}
  • id: 1850159
    {'degree': 8, 'field': [-588, 0, 424, 0, -84, 0, 0, 0, 1], 'lmfdb_label': '37440.o1', 'torsion': [6]}
  • id: 1850158
    {'degree': 8, 'field': [-575, -2900, -2650, -320, 376, 56, -34, -4, 1], 'lmfdb_label': '37440.o1', 'torsion': [2, 4]}
  • id: 1850157
    {'degree': 8, 'field': [144, 0, -144, 0, 177, 0, -12, 0, 1], 'lmfdb_label': '37440.o1', 'torsion': [2, 4]}
  • id: 1850161
    {'degree': 16, 'field': [1, 0, -8, 0, -146, 0, -496, 0, -1225, 0, -496, 0, -146, 0, -8, 0, 1], 'lmfdb_label': '37440.o1', 'torsion': [2, 6]}
  • id: 1850160
    {'degree': 16, 'field': [100000000, 0, -67000000, 0, 32127500, 0, -4202500, 0, 511825, 0, -17000, 0, 746, 0, 76, 0, 1], 'lmfdb_label': '37440.o1', 'torsion': [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: 883026
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '37440.o1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 883027
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '37440.o1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 883028
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.o1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 883029
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.o1', '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: 1914373
    {'adelic_gens': [[145, 4, 134, 9], [1, 2, 2, 5], [40, 121, 117, 40], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 37440, 'lmfdb_label': '37440.o1', 'prime': 0}
  • id: 165643
    {'conductor': 37440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37440.o1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 37440.o does not appear in ec_padic