Elliptic curve data - 382360.d2

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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': '382360d', 'Clabel': '382360d1', 'Cnumber': 1, 'abc_quality': 0.751092049718002, 'absD': 895701241600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1580, 'ainvs': [0, 1, 0, 2380, 9568], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 382360, 'degree': 409600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98267825958335449439939947873', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [3286064, 1975], 'lmfdb_iso': '382360.d', 'lmfdb_label': '382360.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 20, 0], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '158.6.0.?', '1580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83672899492023473068620297945', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9559], [5, 6, 76472], [11, 62, 3160], [79, 80, 4840]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67836749718912765057639372456', 'prec': 107}, 'szpiro_ratio': 2.718020056841761, '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, -2, 0, 1, 0, -2, 0, 1, 0, 0, 0, -2, 0, -2, 0, -4, 0, -4, 0], 'aplist': [0, -2, 1, -2, 0, -2, -4, -4, -4, 2, 8, -4, 2, 2, 6, 0, 0, 2, -8, 16, 10, 1, -4, -10, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 382360, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '382360.d', 'trace_hash': 1085124311129216123}
• 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': '0.14010592726217248376515803562', 'prec': 103}, 'conductor': 382360, 'gens': [[18, 242, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.83672899492023473068620297945', 'prec': 103}], 'lmfdb_label': '382360.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54309305251184002060605656521', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6353736318111532995714077922849145857', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-4, 0, 1]], 'xcoord_integral_points': [-4, 12, 18, 106]}
• lmfdb_label 382360.d2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15829725
    {'degree': 2, 'field': [20, -1, 1], 'lmfdb_label': '382360.d2', 'torsion': [2, 2]}
  • id: 15829726
    {'degree': 4, 'field': [-596, -6, 7, -2, 1], 'lmfdb_label': '382360.d2', 'torsion': [4]}
  • id: 15829729
    {'degree': 8, 'field': [-51869375, 172750, 718300, -23830, 22790, 3890, 28, -2, 1], 'lmfdb_label': '382360.d2', 'torsion': [6]}
  • id: 15829728
    {'degree': 8, 'field': [10811, 22412, 15552, 2954, 209, 186, 22, -2, 1], 'lmfdb_label': '382360.d2', 'torsion': [2, 4]}
  • id: 15829727
    {'degree': 8, 'field': [151325, -144020, 75596, -12654, 6037, -674, 16, -2, 1], 'lmfdb_label': '382360.d2', 'torsion': [2, 4]}
  • id: 15829730
    {'degree': 16, 'field': [2926810000, 0, -972440000, 0, -772852000, 0, 43632000, 0, -2840600, 0, -24400, 0, 1720, 0, -80, 0, 1], 'lmfdb_label': '382360.d2', 'torsion': [8]}
  • id: 15829731
    {'degree': 16, 'field': [54416098514600, 4093763987800, 5655167301600, 437206365440, 303203002900, 20553246600, 9165804278, 581921482, 171535437, 10305682, 3538004, 233394, 48030, 4830, 126, -4, 1], 'lmfdb_label': '382360.d2', '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: 9460065
    {'conductor': 382360, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '382360.d2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9460066
    {'conductor': 382360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '382360.d2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9460067
    {'conductor': 382360, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '382360.d2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9460068
    {'conductor': 382360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '382360.d2', 'prime': 79, '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: 4040644
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [322, 1, 1419, 0], [1, 4, 0, 1], [317, 4, 634, 9], [1577, 4, 1576, 5], [397, 1186, 1184, 395]], 'adelic_image': '1580.12.0.?', 'conductor': 382360, 'lmfdb_label': '382360.d2', 'prime': 0}
  • id: 1307512
    {'conductor': 382360, 'elladic_image': '2.3.0.1', 'lmfdb_label': '382360.d2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 382360.d does not appear in ec_padic