Elliptic curve data - 840.e3

Formats: - HTML - YAML - JSON - 2024-06-09T14:39:00.192911

• 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': '840c', 'Clabel': '840c4', 'Cnumber': 4, 'abc_quality': 1.1236247614268746, 'absD': 995742720, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -40, -1508], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 840, 'degree': 256, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40599924855814856754211322503', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [-7086244, 972405], 'lmfdb_iso': '840.e', 'lmfdb_label': '840.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -40, -1508], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '20.24.0-20.h.1.1', '168.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17162340190847252363891354285', 'prec': 107}, 'szpiro_ratio': 4.184798147053964, '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, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 2, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, -1, 1, -1, 0, 2, 2, 0, 0, 6, 4, -2, 10, 4, 0, 2, 4, 6, -12, 12, -2, 0, 4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 840, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '840.e', 'trace_hash': 1387678495414903420}
• 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': '0.44396990644841563888201694796', 'prec': 103}, 'conductor': 840, 'gens': [], 'heights': [], 'lmfdb_label': '840.e3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.69393916113032233644410245798', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3878783222606446728882049159597305687', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[13, 0, 1]], 'xcoord_integral_points': [13]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '7': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '840.e3'}
• ec_torsion_growth •

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

  
  
  • id: 39366
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '840.e3', 'torsion': [4]}
  • id: 39367
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [4]}
  • id: 39365
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [2, 2]}
  • id: 39368
    {'degree': 4, 'field': [1, 0, 3, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [2, 4]}
  • id: 39369
    {'degree': 4, 'field': [1, 2, 4, -2, 1], 'lmfdb_label': '840.e3', 'torsion': [2, 4]}
  • id: 39373
    {'degree': 8, 'field': [-3, 0, 328, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [6]}
  • id: 39370
    {'degree': 8, 'field': [1, 2, 2, -10, 11, -10, 8, -4, 1], 'lmfdb_label': '840.e3', 'torsion': [4, 4]}
  • id: 39372
    {'degree': 8, 'field': [25, 0, 0, 0, 11, 0, 0, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [8]}
  • id: 39371
    {'degree': 8, 'field': [10000, 0, 0, 0, -220, 0, 0, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [8]}
  • id: 39379
    {'degree': 16, 'field': [400, -1600, 3200, -3040, 960, 1520, -2208, 1952, -824, -96, 328, -256, 164, -84, 32, -8, 1], 'lmfdb_label': '840.e3', 'torsion': [12]}
  • id: 39374
    {'degree': 16, 'field': [625, 0, 0, 0, 1925, 0, 0, 0, 1296, 0, 0, 0, 77, 0, 0, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [2, 8]}
  • id: 39378
    {'degree': 16, 'field': [104621, 199912, -115376, -161080, 72410, -23976, 65884, -53008, 17555, -2920, 540, 128, -82, 0, 20, -8, 1], 'lmfdb_label': '840.e3', 'torsion': [12]}
  • id: 39376
    {'degree': 16, 'field': [160000, 0, 80000, 0, 0, 0, -12200, 0, -755, 0, 610, 0, 0, 0, -10, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [2, 8]}
  • id: 39377
    {'degree': 16, 'field': [390625, 0, 625000, 0, 512500, 0, 197000, 0, 45350, 0, 7880, 0, 820, 0, 40, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [2, 6]}
  • id: 39375
    {'degree': 16, 'field': [463761, 0, -435612, 0, 172558, 0, -25924, 0, 2475, 0, -164, 0, 138, 0, 8, 0, 1], 'lmfdb_label': '840.e3', 'torsion': [2, 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: 10871
    {'conductor': 840, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '840.e3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10872
    {'conductor': 840, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '840.e3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10873
    {'conductor': 840, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '840.e3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10874
    {'conductor': 840, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '840.e3', 'prime': 7, '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: 1669882
    {'adelic_gens': [[528, 113, 553, 600], [176, 3, 5, 2], [833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [241, 8, 124, 33], [281, 8, 284, 33], [7, 6, 834, 835], [739, 738, 538, 115]], 'adelic_image': '840.48.0.?', 'conductor': 840, 'lmfdb_label': '840.e3', 'prime': 0}
  • id: 3856
    {'conductor': 840, 'elladic_image': '4.12.0.8', 'lmfdb_label': '840.e3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 840.e does not appear in ec_padic