Elliptic curve isogeny class data - 100005.c

Formats: - HTML - YAML - JSON - 2025-10-17T03:32:13.923342

• 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, 1, 1, -1, 1, 1, 1, -3, 1, 1, 6, -1, 2, 1, 1, -1, -7, 1, 5, -1], 'aplist': [1, 1, 1, 1, 6, 2, -7, 5, -4, -8, -4, -7, -3, 2, -12, 8, 1, -1, 4, -3, 9, 12, 9, 2, -4], 'class_deg': 1, 'class_size': 1, 'conductor': 100005, 'isogeny_matrix': [[1]], 'lmfdb_iso': '100005.c', 'trace_hash': 2112924845750047539}
• ec_padic •

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

  
  
  • id: 5201966
    {'lmfdb_iso': '100005.c', 'p': 7, 'prec': 20, 'unit': 43468323925620389, 'val': -1}
  • id: 5201964
    {'lmfdb_iso': '100005.c', 'p': 11, 'prec': 20, 'unit': 16407176926136046702, 'val': 1}
  • id: 5201970
    {'lmfdb_iso': '100005.c', 'p': 13, 'prec': 20, 'unit': 1168264114896829528020, 'val': 1}
  • id: 5201972
    {'lmfdb_iso': '100005.c', 'p': 17, 'prec': 20, 'unit': 146017551256020071117635, 'val': 1}
  • id: 5201973
    {'lmfdb_iso': '100005.c', 'p': 19, 'prec': 20, 'unit': 1828738982786998802035624, 'val': 1}
  • id: 5201976
    {'lmfdb_iso': '100005.c', 'p': 23, 'prec': 20, 'unit': 69998137609960337316463256, 'val': 1}
  • id: 5201969
    {'lmfdb_iso': '100005.c', 'p': 29, 'prec': 20, 'unit': 5499874822794351448544938096, 'val': 1}
  • id: 5201982
    {'lmfdb_iso': '100005.c', 'p': 31, 'prec': 20, 'unit': 364763570289469080601065944, 'val': 2}
  • id: 5201965
    {'lmfdb_iso': '100005.c', 'p': 37, 'prec': 20, 'unit': 549627483724166149257280765422, 'val': 1}
  • id: 5201967
    {'lmfdb_iso': '100005.c', 'p': 41, 'prec': 20, 'unit': 4379670080225479220467578951337, 'val': 1}
  • id: 5201968
    {'lmfdb_iso': '100005.c', 'p': 43, 'prec': 20, 'unit': 4572012533938861276248080504218, 'val': 1}
  • id: 5201971
    {'lmfdb_iso': '100005.c', 'p': 47, 'prec': 20, 'unit': 23807033471465100537817772757915, 'val': 1}
  • id: 5201974
    {'lmfdb_iso': '100005.c', 'p': 53, 'prec': 20, 'unit': 566079608518443300569410956959744, 'val': 1}
  • id: 5201980
    {'lmfdb_iso': '100005.c', 'p': 61, 'prec': 20, 'unit': 7310349940433662646495047094078815, 'val': 1}
  • id: 5201963
    {'lmfdb_iso': '100005.c', 'p': 67, 'prec': 20, 'unit': 6310152245947883296154408102903189, 'val': 1}
  • id: 5201978
    {'lmfdb_iso': '100005.c', 'p': 71, 'prec': 20, 'unit': 6975763108542719473417633947032075, 'val': 1}
  • id: 5201975
    {'lmfdb_iso': '100005.c', 'p': 73, 'prec': 20, 'unit': 72598357037209884165455036406880449, 'val': 1}
  • id: 5201979
    {'lmfdb_iso': '100005.c', 'p': 79, 'prec': 20, 'unit': 786258241677461210313005059280666167, 'val': 1}
  • id: 5201981
    {'lmfdb_iso': '100005.c', 'p': 83, 'prec': 20, 'unit': 1989063232680262676227999935332293496, 'val': 1}
  • id: 5201977
    {'lmfdb_iso': '100005.c', 'p': 89, 'prec': 20, 'unit': 2534895274507257760792211558512575054, 'val': 1}
  • id: 5201962
    {'lmfdb_iso': '100005.c', 'p': 97, 'prec': 20, 'unit': 29965091972383139313798250028284035756, '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[]

  
  {'Ciso': '100005d', 'Clabel': '100005d1', 'Cnumber': 1, 'abc_quality': 0.876179173662698, 'absD': 2489186953125, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2260, 'ainvs': [1, 0, 1, -1133, -77407], 'analytic_rank': 1, 'bad_primes': [3, 5, 59, 113], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 100005, 'degree': 180096, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0599304805584749354506949484', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-160643187047881, 2489186953125], 'lmfdb_iso': '100005.c', 'lmfdb_label': '100005.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1133, -77407], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['2260.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.61822631693994012579364573846', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 2, 565], [3, 4, 33335], [5, 6, 20001], [7, 2, 20001], [59, 60, 1695], [113, 114, 885]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0599304805584749354506949484', 'prec': 100}, 'szpiro_ratio': 3.129891507704154, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}