Elliptic curve isogeny class data - 107712.bz

Formats: - HTML - YAML - JSON - 2025-10-28T21:13:13.901236

• 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, -4, 0, 0, 0, 1, 0, -4, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 0, 0, -4, 1, -4, 1, -4, -6, -10, 8, 10, 2, 8, -12, 2, -10, 6, -12, 2, -4, -4, 0, -12, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 107712, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '107712.bz', 'trace_hash': 101459113159971888}
• ec_padic •

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

  
  
  • id: 5618002
    {'lmfdb_iso': '107712.bz', 'p': 7, 'prec': 20, 'unit': 5290316896536355, 'val': 2}
  • id: 5618006
    {'lmfdb_iso': '107712.bz', 'p': 13, 'prec': 20, 'unit': 159129647121056970381, 'val': 2}
  • id: 5618009
    {'lmfdb_iso': '107712.bz', 'p': 19, 'prec': 20, 'unit': 1588852695530654334249688, 'val': 2}
  • id: 5618012
    {'lmfdb_iso': '107712.bz', 'p': 23, 'prec': 20, 'unit': 74167002183725380445917382, 'val': 2}
  • id: 5618005
    {'lmfdb_iso': '107712.bz', 'p': 29, 'prec': 20, 'unit': 901925478480718671004819204, 'val': 2}
  • id: 5618017
    {'lmfdb_iso': '107712.bz', 'p': 31, 'prec': 20, 'unit': 17447278632398146549321179394, 'val': 2}
  • id: 5618001
    {'lmfdb_iso': '107712.bz', 'p': 37, 'prec': 20, 'unit': 115189673821503007486027327731, 'val': 2}
  • id: 5618003
    {'lmfdb_iso': '107712.bz', 'p': 41, 'prec': 20, 'unit': 140942013952020227690295426325, 'val': 2}
  • id: 5618004
    {'lmfdb_iso': '107712.bz', 'p': 43, 'prec': 20, 'unit': 3561300130358796201729727798910, 'val': 2}
  • id: 5618015
    {'lmfdb_iso': '107712.bz', 'p': 47, 'prec': 20, 'unit': 24051201117660308056625522189628, 'val': 2}
  • id: 5618010
    {'lmfdb_iso': '107712.bz', 'p': 53, 'prec': 20, 'unit': 509215214325605220154529447886480, 'val': 2}
  • id: 5618008
    {'lmfdb_iso': '107712.bz', 'p': 59, 'prec': 20, 'unit': 2354298614895955665198077209525761, 'val': 2}
  • id: 5618016
    {'lmfdb_iso': '107712.bz', 'p': 61, 'prec': 20, 'unit': 815532980427075996048913643593657, 'val': 2}
  • id: 5618000
    {'lmfdb_iso': '107712.bz', 'p': 67, 'prec': 20, 'unit': 29228906329040643882455457714100804, 'val': 2}
  • id: 5618014
    {'lmfdb_iso': '107712.bz', 'p': 71, 'prec': 20, 'unit': 116555656787447605775405239461998247, 'val': 2}
  • id: 5618011
    {'lmfdb_iso': '107712.bz', 'p': 73, 'prec': 20, 'unit': 12343491628874309532781101808878071, 'val': 2}
  • id: 5618007
    {'lmfdb_iso': '107712.bz', 'p': 79, 'prec': 20, 'unit': 948462112693049977116471828953561921, 'val': 2}
  • id: 5618013
    {'lmfdb_iso': '107712.bz', 'p': 89, 'prec': 20, 'unit': 8772005439693315435013505328455607083, 'val': 2}
  • id: 5617999
    {'lmfdb_iso': '107712.bz', 'p': 97, 'prec': 20, 'unit': 10760586810266562123969959509924612069, 'val': 2}
• 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: 706912
    {'Ciso': '107712db', 'Clabel': '107712db2', 'Cnumber': 2, 'abc_quality': 1.0602148415113812, 'absD': 29118431232, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -34860, 2505168], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 107712, 'degree': 245760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1941535061635280821911827073', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [661914925875, 4114], 'lmfdb_iso': '107712.bz', 'lmfdb_label': '107712.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4902, 133334], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '408.6.0.?', '1496.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.4307704504191660475187746502', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 51], [3, 6, 11968], [11, 12, 9792], [17, 18, 6336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12022033684341730478347678412', 'prec': 107}, 'szpiro_ratio': 3.7101999272455046, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 706911
    {'Ciso': '107712db', 'Clabel': '107712db1', 'Cnumber': 1, 'abc_quality': 1.0032380558063225, 'absD': 90002423808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -2220, 37584], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 107712, 'degree': 122880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84757991588355542748256664661', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [170953875, 12716], 'lmfdb_iso': '107712.bz', 'lmfdb_label': '107712.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -312, 2060], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '408.6.0.?', '1496.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.4307704504191660475187746502', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 33], [3, 6, 11968], [11, 12, 9792], [17, 18, 6336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46679392712338995949209284481', 'prec': 107}, 'szpiro_ratio': 2.997216037523069, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}