Elliptic curve data - 39600.bj2

Formats: - HTML - YAML - JSON - 2025-11-08T01:25:30.359718

• 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': '39600o', 'Clabel': '39600o2', 'Cnumber': 2, 'abc_quality': 0.9202651524689294, 'absD': 5261265900000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 0, 0, -17175, 3595750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 39600, 'degree': 196608, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6990008336581081161374548976', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2], 'jinv': [-192143824, 1804275], 'lmfdb_iso': '39600.bj', 'lmfdb_label': '39600.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -76, 1040], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '22.6.0.a.1', '220.12.0.?'], '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, 'serre_invariants': [[2, 2, 2475], [3, 8, 4400], [5, 18, 1584], [11, 12, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11712238726629378980536880178', 'prec': 107}, 'szpiro_ratio': 4.129157261517344, '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, 0, 0, -2, 0, 0, 0, -1, 0, 4, 0, 0, 0, 4, 0, 0, 0], 'aplist': [0, 0, 0, -2, -1, 4, 4, 0, 4, 6, 8, 2, 10, 10, 12, 6, -12, 10, -8, 0, -4, -4, -2, 10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 39600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '39600.bj', 'trace_hash': 1545411178771023960}
• 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': '0.033440027536159940312662193691', 'prec': 107}, 'conductor': 39600, 'gens': [], 'heights': [], 'lmfdb_label': '39600.bj2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36726937667308375545440336150', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9381550133846700436352268919981465756', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-190, 0, 1]], 'xcoord_integral_points': [-190]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '39600.bj2'}
• ec_torsion_growth •

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

  
  
  • id: 1949875
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '39600.bj2', 'torsion': [2, 2]}
  • id: 1949876
    {'degree': 4, 'field': [-5, -5, -1, -1, 1], 'lmfdb_label': '39600.bj2', 'torsion': [4]}
  • id: 1949879
    {'degree': 8, 'field': [-6075, 0, 2280, 0, -270, 0, 0, 0, 1], 'lmfdb_label': '39600.bj2', 'torsion': [6]}
  • id: 1949878
    {'degree': 8, 'field': [1, 0, -40, 0, 798, 0, -40, 0, 1], 'lmfdb_label': '39600.bj2', 'torsion': [2, 4]}
  • id: 1949877
    {'degree': 8, 'field': [55, -55, 36, -28, 29, -14, 4, -3, 1], 'lmfdb_label': '39600.bj2', 'torsion': [2, 4]}
  • id: 1949880
    {'degree': 16, 'field': [769591, 2461692, 263648, 310432, -395151, -274668, 225042, -48692, -4527, -6912, 1282, -744, 455, -104, 34, -4, 1], 'lmfdb_label': '39600.bj2', 'torsion': [8]}
  • id: 1949881
    {'degree': 16, 'field': [198780021, 25238664, -21154272, -8491992, 5035746, -904776, 254460, -7536, 59899, -35912, 4780, 832, 286, -224, 52, -8, 1], 'lmfdb_label': '39600.bj2', '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: 936045
    {'conductor': 39600, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '39600.bj2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 936046
    {'conductor': 39600, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '39600.bj2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 936047
    {'conductor': 39600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '39600.bj2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 936048
    {'conductor': 39600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '39600.bj2', 'prime': 11, '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: 1928095
    {'adelic_gens': [[57, 166, 164, 55], [1, 2, 2, 5], [202, 1, 119, 0], [217, 4, 216, 5], [3, 4, 8, 11], [177, 4, 134, 9], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 39600, 'lmfdb_label': '39600.bj2', 'prime': 0}
  • id: 173786
    {'conductor': 39600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '39600.bj2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 39600.bj does not appear in ec_padic