Elliptic curve isogeny class data - 121680.v

Formats: - HTML - YAML - JSON - 2025-09-28T03:33:02.587161

• 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, -1, 0, -1, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 2, 0], 'aplist': [0, 0, -1, -1, -3, 0, -3, 2, 3, -6, 2, 7, 9, -8, 6, -3, 0, -7, -4, -3, 10, 1, 0, 3, 1], 'class_deg': 3, 'class_size': 2, 'conductor': 121680, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '121680.v', 'trace_hash': 1392711234621847094}
• ec_padic •

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

  
  
  • id: 6361391
    {'lmfdb_iso': '121680.v', 'p': 7, 'prec': 20, 'unit': 9620436460236862, 'val': 1}
  • id: 6361396
    {'lmfdb_iso': '121680.v', 'p': 11, 'prec': 20, 'unit': 19362956787221437799, 'val': 1}
  • id: 6361397
    {'lmfdb_iso': '121680.v', 'p': 17, 'prec': 20, 'unit': 6332159199814906765299, 'val': 2}
  • id: 6361398
    {'lmfdb_iso': '121680.v', 'p': 19, 'prec': 20, 'unit': 1971016649277646013217841, 'val': 1}
  • id: 6361401
    {'lmfdb_iso': '121680.v', 'p': 23, 'prec': 20, 'unit': 45477755715464724943598099, 'val': 1}
  • id: 6361394
    {'lmfdb_iso': '121680.v', 'p': 29, 'prec': 20, 'unit': 865451206049269164655900087, 'val': 1}
  • id: 6361406
    {'lmfdb_iso': '121680.v', 'p': 31, 'prec': 20, 'unit': 296932471340632264941692420, 'val': 2}
  • id: 6361390
    {'lmfdb_iso': '121680.v', 'p': 37, 'prec': 20, 'unit': 473901975795508925701229671719, 'val': 1}
  • id: 6361392
    {'lmfdb_iso': '121680.v', 'p': 41, 'prec': 20, 'unit': 873765931367564381704821852232, 'val': 1}
  • id: 6361393
    {'lmfdb_iso': '121680.v', 'p': 43, 'prec': 20, 'unit': 65768305481967848718737608208, 'val': 1}
  • id: 6361395
    {'lmfdb_iso': '121680.v', 'p': 47, 'prec': 20, 'unit': 30936011922047468597618672077765, 'val': 1}
  • id: 6361399
    {'lmfdb_iso': '121680.v', 'p': 53, 'prec': 20, 'unit': 120009258502981541921889835699338, 'val': 1}
  • id: 6361405
    {'lmfdb_iso': '121680.v', 'p': 61, 'prec': 20, 'unit': 3392965650029912123631109781263536, 'val': 1}
  • id: 6361389
    {'lmfdb_iso': '121680.v', 'p': 67, 'prec': 20, 'unit': 38561072284531594542767348334532895, 'val': 1}
  • id: 6361403
    {'lmfdb_iso': '121680.v', 'p': 71, 'prec': 20, 'unit': 90777773160833776291399874657736958, 'val': 1}
  • id: 6361400
    {'lmfdb_iso': '121680.v', 'p': 73, 'prec': 20, 'unit': 200056289579152638601482372414261364, 'val': 1}
  • id: 6361404
    {'lmfdb_iso': '121680.v', 'p': 79, 'prec': 20, 'unit': 79072878241931622143898095655584286244, 'val': -1}
  • id: 6361402
    {'lmfdb_iso': '121680.v', 'p': 89, 'prec': 20, 'unit': 6195690956193587428718305005849236826, 'val': 1}
  • id: 6361388
    {'lmfdb_iso': '121680.v', 'p': 97, 'prec': 20, 'unit': 134666714557898360149796005622252414093, '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: 794458
    {'Ciso': '121680dh', 'Clabel': '121680dh2', 'Cnumber': 2, 'abc_quality': 0.9387890552980066, 'absD': 742145284120032000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 780, 'ainvs': [0, 0, 0, -336648, -85849972], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 121680, 'degree': 1161216, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1547809358256268120063652034', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-4684079104, 823875], 'lmfdb_iso': '121680.v', 'lmfdb_label': '121680.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -221, -1521], 'min_quad_twist_disc': 156, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.3', '156.8.0.?', '390.8.0.?', '780.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.5431329720680819535333433688', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7605], [3, 8, 2704], [5, 6, 24336], [13, 98, 720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13909800761249327466282255015', 'prec': 107}, 'szpiro_ratio': 4.275235135624777, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 794457
    {'Ciso': '121680dh', 'Clabel': '121680dh1', 'Cnumber': 1, 'abc_quality': 0.8979503979624902, 'absD': 1580901196942080, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 780, 'ainvs': [0, 0, 0, 28392, 518492], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 121680, 'degree': 387072, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6054747914915719663087425850', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [2809856, 1755], 'lmfdb_iso': '121680.v', 'lmfdb_label': '121680.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 19, 15], 'min_quad_twist_disc': 156, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.4', '156.8.0.?', '390.8.0.?', '780.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1810443240226939845111144563', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7605], [3, 2, 13520], [5, 6, 24336], [13, 98, 720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68840415194654812036044516855', 'prec': 107}, 'szpiro_ratio': 3.6189810003399154, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}