Elliptic curve isogeny class data - 37004.a

Formats: - HTML - YAML - JSON - 2026-01-30T17:06:46.414146

• 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, 2, 0, -2, 0, 1, 0, -4, 0, 3, 0, -6, 0, -8, 0], 'aplist': [0, -1, -3, 2, 1, -4, -6, -8, -3, 0, -5, 1, 0, 10, 0, -6, 3, 4, -1, 15, 4, -2, 6, 9, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 37004, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '37004.a', 'trace_hash': 360137814662625703}
• ec_padic •

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

  
  
  • id: 1822031
    {'lmfdb_iso': '37004.a', 'p': 5, 'prec': 20, 'unit': 18764560536078, 'val': 1}
  • id: 1822032
    {'lmfdb_iso': '37004.a', 'p': 7, 'prec': 20, 'unit': 3208460863319196, 'val': 1}
  • id: 1822036
    {'lmfdb_iso': '37004.a', 'p': 13, 'prec': 20, 'unit': 608586291730735807067, 'val': 1}
  • id: 1822038
    {'lmfdb_iso': '37004.a', 'p': 17, 'prec': 20, 'unit': 6004621390221063101911, 'val': 1}
  • id: 1822028
    {'lmfdb_iso': '37004.a', 'p': 19, 'prec': 20, 'unit': 627763824477621216080125, 'val': 1}
  • id: 1822041
    {'lmfdb_iso': '37004.a', 'p': 23, 'prec': 20, 'unit': 21006288166425163363599634, 'val': 1}
  • id: 1822033
    {'lmfdb_iso': '37004.a', 'p': 31, 'prec': 20, 'unit': 6759714940374758334912620606, 'val': 1}
  • id: 1822046
    {'lmfdb_iso': '37004.a', 'p': 37, 'prec': 20, 'unit': 962259042217903711242906042419, 'val': 0}
  • id: 1822035
    {'lmfdb_iso': '37004.a', 'p': 43, 'prec': 20, 'unit': 9890281096823471917124901602516, 'val': 1}
  • id: 1822040
    {'lmfdb_iso': '37004.a', 'p': 53, 'prec': 20, 'unit': 252943332375612711211427515503856, 'val': 1}
  • id: 1822044
    {'lmfdb_iso': '37004.a', 'p': 59, 'prec': 20, 'unit': 2118370202399199683295736087250990, 'val': 1}
  • id: 1822045
    {'lmfdb_iso': '37004.a', 'p': 61, 'prec': 20, 'unit': 752865175087203700211298028594349, 'val': 1}
  • id: 1822030
    {'lmfdb_iso': '37004.a', 'p': 67, 'prec': 20, 'unit': 43083004402877959143618843622977961, 'val': 1}
  • id: 1822043
    {'lmfdb_iso': '37004.a', 'p': 71, 'prec': 20, 'unit': 146679029568730365401031999619420333, 'val': 1}
  • id: 1822034
    {'lmfdb_iso': '37004.a', 'p': 73, 'prec': 20, 'unit': 141769437245568252120651148412366047, 'val': 1}
  • id: 1822037
    {'lmfdb_iso': '37004.a', 'p': 79, 'prec': 20, 'unit': 634245050530805714394606650389481842, 'val': 1}
  • id: 1822039
    {'lmfdb_iso': '37004.a', 'p': 83, 'prec': 20, 'unit': 2831725008618229974889098555523132337, 'val': 1}
  • id: 1822042
    {'lmfdb_iso': '37004.a', 'p': 89, 'prec': 20, 'unit': 8462056856219631905786244515480800069, 'val': 1}
  • id: 1822029
    {'lmfdb_iso': '37004.a', 'p': 97, 'prec': 20, 'unit': 55868381769500264072292390530706708504, 'val': 1}
• 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[]

  
  
  • id: 246463
    {'Ciso': '37004b', 'Clabel': '37004b2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 202677719104256, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1914, 'ainvs': [0, -1, 0, -65037, -6398951], 'analytic_rank': 1, 'bad_primes': [2, 11, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 37004, 'degree': 151200, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5806602335351240514857792877', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '37004.a', 'lmfdb_label': '37004.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': 29, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '66.8.0.a.1', '87.8.0.?', '1914.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.89218153255052660144805847449', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9251], [3, 2, 3364], [11, 12, 3364], [29, 422, 44]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56508580183140983505067814279', 'prec': 107}, 'szpiro_ratio': 4.26600743093, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 246462
    {'Ciso': '37004b', 'Clabel': '37004b1', 'Cnumber': 1, 'abc_quality': 0.8429409118491958, 'absD': 1675022471936, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1914, 'ainvs': [0, -1, 0, 2243, -47719], 'analytic_rank': 1, 'bad_primes': [2, 11, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 37004, 'degree': 50400, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0313540892010692057881566693', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [8192, 11], 'lmfdb_iso': '37004.a', 'lmfdb_label': '37004.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 3, -1], 'min_quad_twist_disc': 29, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '66.8.0.a.1', '87.8.0.?', '1914.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6765445976515798043441754235', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9251], [11, 12, 3364], [29, 422, 44]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1143919461654646807483007612', 'prec': 103}, 'szpiro_ratio': 3.330968982407624, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}