Elliptic curve data - 23104.be2

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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': '23104y', 'Clabel': '23104y2', 'Cnumber': 2, 'absD': 1321728810102784, 'ainvs': [0, 0, 0, 27436, 0], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 23104, 'degree': 54720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5909434890232661361717276121', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '23104.be', 'lmfdb_label': '23104.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 19, 0], 'min_quad_twist_disc': 152, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 19], [19, 92, 64]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 4.207149906648306, '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, 2, 0, 0, 0, -3, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 2, 0, 0, 4, -2, 0, 0, 4, 0, 12, 8, 0, 0, 4, 0, 10, 0, 0, 6, 0, 0, -16, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 23104, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '23104.be', 'trace_hash': 1215316549652403268}
• 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': '0.041507257893095324942840575619', 'prec': 107}, 'conductor': 23104, 'gens': [], 'heights': [], 'lmfdb_label': '23104.be2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28812239723109109569201254551', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5931015750798198612281129095532029943', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 6, 0], '19': 'a'}, 'iwp0': 5, 'lmfdb_label': '23104.be2'}
• ec_torsion_growth •

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

  
  
  • id: 1169188
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '23104.be2', 'torsion': [2, 2]}
  • id: 1169189
    {'degree': 4, 'field': [-19, 0, 0, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [4]}
  • id: 1169192
    {'degree': 8, 'field': [-1083, 0, 0, 0, 114, 0, 0, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [6]}
  • id: 1169190
    {'degree': 8, 'field': [25, 0, 28, 0, 11, 0, -2, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [2, 4]}
  • id: 1169191
    {'degree': 8, 'field': [324, 0, 232, 0, -32, 0, 4, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [2, 4]}
  • id: 1169193
    {'degree': 8, 'field': [1805, 0, 0, 0, -38, 0, 0, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [10]}
  • id: 1169194
    {'degree': 16, 'field': [3969, -8316, 8712, -9348, 7366, -2520, 120, 1060, -1625, 920, -280, 20, 94, -76, 32, -8, 1], 'lmfdb_label': '23104.be2', 'torsion': [4, 4]}
  • id: 1169195
    {'degree': 16, 'field': [61504, 0, -198656, 0, -64960, 0, 19008, 0, -1280, 0, -160, 0, -56, 0, -8, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [8]}
  • id: 1169197
    {'degree': 16, 'field': [130321, 0, 0, 0, 123462, 0, 0, 0, -14801, 0, 0, 0, 38, 0, 0, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [10]}
  • id: 1169199
    {'degree': 16, 'field': [195364, 49504, -39224, 114112, -15664, -39960, 46784, -28960, 6908, 336, -1324, 456, -36, -4, 0, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [2, 10]}
  • id: 1169196
    {'degree': 16, 'field': [1172889, 0, 0, 0, 123462, 0, 0, 0, 14079, 0, 0, 0, -114, 0, 0, 0, 1], 'lmfdb_label': '23104.be2', 'torsion': [3, 6]}
  • id: 1169198
    {'degree': 16, 'field': [3549577, -4305680, 4839000, -5777512, 5101340, -2828976, 1117768, -339032, 106014, -37808, 11272, -2040, 140, -16, 24, -8, 1], 'lmfdb_label': '23104.be2', '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: 528131
    {'conductor': 23104, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '23104.be2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 528132
    {'conductor': 23104, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '23104.be2', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• lmfdb_label 23104.be2 does not appear in ec_galrep
• lmfdb_iso 23104.be does not appear in ec_padic