Elliptic curve data - 40656.dj1

Formats: - HTML - YAML - JSON - 2024-05-02T13:22:17.480220

• 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': '40656w', 'Clabel': '40656w1', 'Cnumber': 1, 'abc_quality': 0.958930298246344, 'absD': 2915733832704, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4, 'ainvs': [0, 1, 0, 1896, -75132], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 40656, 'degree': 61440, 'elladic_images': ['4.16.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0745197906857985039948905933', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 87, 'isogeny_degrees': [1], 'jinv': [50250332, 194481], 'lmfdb_iso': '40656.dj', 'lmfdb_label': '40656.dj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1896, 75132], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['4.16.0-4.b.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.43737100700148659079860714516', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30240128404694610187345070057', 'prec': 107}, 'szpiro_ratio': 3.391523037748856, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 3, 0, -1, 0, 1, 0, 0, 0, -1, 0, 3, 0, -5, 0, -4, 0], 'aplist': [0, 1, 3, -1, 0, -1, -5, -4, 4, 7, 4, -5, -9, 0, 0, 3, 0, -2, -8, 0, -6, 0, 0, -13, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 40656, 'isogeny_matrix': [[1]], 'lmfdb_iso': '40656.dj', 'trace_hash': 1874278499219501903}
• 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': '0.11659608506846249866126010378', 'prec': 103}, 'conductor': 40656, 'gens': [[216, 3234, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.43737100700148659079860714516', 'prec': 103}], 'lmfdb_label': '40656.dj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40761897984833031656658212604', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5574747370807792216064783769467037513', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': [51, 216]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '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, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '40656.dj1'}
• ec_torsion_growth •

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

  
  
  • id: 1998474
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '40656.dj1', 'torsion': [4]}
  • id: 1998475
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '40656.dj1', 'torsion': [4, 4]}
  • id: 1998476
    {'degree': 8, 'field': [-1875, 0, 1112, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '40656.dj1', 'torsion': [3]}
  • id: 1998477
    {'degree': 12, 'field': [-11664, 0, -21160, 0, -6156, 0, 184, 0, 140, 0, -6, 0, 1], 'lmfdb_label': '40656.dj1', '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: 962333
    {'conductor': 40656, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '40656.dj1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 962334
    {'conductor': 40656, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '40656.dj1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 962335
    {'conductor': 40656, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '40656.dj1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 962336
    {'conductor': 40656, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '40656.dj1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1935245
    {'adelic_gens': [[1, 1, 0, 3], [1, 1, 1, 2]], 'adelic_image': '4.16.0.?', 'conductor': 40656, 'lmfdb_label': '40656.dj1', 'prime': 0}
  • id: 178104
    {'conductor': 40656, 'elladic_image': '4.16.0.2', 'lmfdb_label': '40656.dj1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2015188
    {'lmfdb_iso': '40656.dj', 'p': 5, 'prec': 20, 'unit': 3241841436436, 'val': 1}
  • id: 2015191
    {'lmfdb_iso': '40656.dj', 'p': 13, 'prec': 20, 'unit': 152288265309742635598, 'val': 1}
  • id: 2015193
    {'lmfdb_iso': '40656.dj', 'p': 17, 'prec': 20, 'unit': 171779543199696802004815, 'val': 1}
  • id: 2015194
    {'lmfdb_iso': '40656.dj', 'p': 19, 'prec': 20, 'unit': 180899482129200611291373, 'val': 1}
  • id: 2015190
    {'lmfdb_iso': '40656.dj', 'p': 23, 'prec': 20, 'unit': 51845359322007210482950303, 'val': 1}
  • id: 2015192
    {'lmfdb_iso': '40656.dj', 'p': 29, 'prec': 20, 'unit': 3211537986134885018846395136, 'val': 1}
  • id: 2015198
    {'lmfdb_iso': '40656.dj', 'p': 31, 'prec': 20, 'unit': 19563404521912229633225335559, 'val': 1}
  • id: 2015200
    {'lmfdb_iso': '40656.dj', 'p': 37, 'prec': 20, 'unit': 599340289201154339139917701052, 'val': 1}
  • id: 2015189
    {'lmfdb_iso': '40656.dj', 'p': 41, 'prec': 20, 'unit': 517362129962782438301554308724, 'val': 1}
  • id: 2015195
    {'lmfdb_iso': '40656.dj', 'p': 53, 'prec': 20, 'unit': 263433388744192377158508935026573, 'val': 1}
  • id: 2015199
    {'lmfdb_iso': '40656.dj', 'p': 61, 'prec': 20, 'unit': 713856439611214469337604230548988, 'val': 1}
  • id: 2015187
    {'lmfdb_iso': '40656.dj', 'p': 67, 'prec': 20, 'unit': 22174888802721120196948779014765018, 'val': 1}
  • id: 2015196
    {'lmfdb_iso': '40656.dj', 'p': 73, 'prec': 20, 'unit': 107237421805842255118270443873817471, 'val': 1}
  • id: 2015197
    {'lmfdb_iso': '40656.dj', 'p': 89, 'prec': 20, 'unit': 359404100731861608396643935622371498, 'val': 1}
  • id: 2015186
    {'lmfdb_iso': '40656.dj', 'p': 97, 'prec': 20, 'unit': 6943088773321846074924001240750517453, 'val': 1}