Elliptic curve isogeny class data - 8736.c

Formats: - HTML - YAML - JSON - 2026-04-19T23:53:50.863205

• 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, 1, 0, 1, 0, 4, 0, 1, 0, 3, 0, 4, 0, -3, 0], 'aplist': [0, -1, -3, 1, 4, 1, 4, -3, -5, -7, 1, -2, 2, -7, 5, 1, -4, -8, 8, 6, 9, -11, 13, 3, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 8736, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8736.c', 'trace_hash': 1290240878912664356}
• ec_padic •

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

  
  
  • id: 362254
    {'lmfdb_iso': '8736.c', 'p': 5, 'prec': 20, 'unit': 3982903826699, 'val': 1}
  • id: 362261
    {'lmfdb_iso': '8736.c', 'p': 11, 'prec': 20, 'unit': 33746649209284833692, 'val': 1}
  • id: 362262
    {'lmfdb_iso': '8736.c', 'p': 17, 'prec': 20, 'unit': 109863617923184076239612, 'val': 1}
  • id: 362263
    {'lmfdb_iso': '8736.c', 'p': 19, 'prec': 20, 'unit': 1766193238842700446203793, 'val': 1}
  • id: 362267
    {'lmfdb_iso': '8736.c', 'p': 23, 'prec': 20, 'unit': 42760290297475660654682311, 'val': 1}
  • id: 362259
    {'lmfdb_iso': '8736.c', 'p': 29, 'prec': 20, 'unit': 4127733090807189058474090956, 'val': 1}
  • id: 362256
    {'lmfdb_iso': '8736.c', 'p': 31, 'prec': 20, 'unit': 453680653302818884939152594234, 'val': 0}
  • id: 362271
    {'lmfdb_iso': '8736.c', 'p': 37, 'prec': 20, 'unit': 13419655823018066209333256356, 'val': 1}
  • id: 362257
    {'lmfdb_iso': '8736.c', 'p': 41, 'prec': 20, 'unit': 19273034335424637130004753069, 'val': 2}
  • id: 362258
    {'lmfdb_iso': '8736.c', 'p': 43, 'prec': 20, 'unit': 1147469349780241344015142631427, 'val': 1}
  • id: 362269
    {'lmfdb_iso': '8736.c', 'p': 47, 'prec': 20, 'unit': 46094885650723183129578971433412, 'val': 1}
  • id: 362264
    {'lmfdb_iso': '8736.c', 'p': 53, 'prec': 20, 'unit': 15317278723555801353527985048142425, 'val': -1}
  • id: 362265
    {'lmfdb_iso': '8736.c', 'p': 59, 'prec': 20, 'unit': 2073571375023192166718326077607421, 'val': 1}
  • id: 362270
    {'lmfdb_iso': '8736.c', 'p': 61, 'prec': 20, 'unit': 6579556500782697139394423129919821, 'val': 1}
  • id: 362253
    {'lmfdb_iso': '8736.c', 'p': 67, 'prec': 20, 'unit': 6276681740065233265436628729894958, 'val': 1}
  • id: 362255
    {'lmfdb_iso': '8736.c', 'p': 71, 'prec': 20, 'unit': 106627863264453939535363857524664052, 'val': 1}
  • id: 362266
    {'lmfdb_iso': '8736.c', 'p': 73, 'prec': 20, 'unit': 40385433889889520082184085246501147, 'val': 1}
  • id: 362260
    {'lmfdb_iso': '8736.c', 'p': 79, 'prec': 20, 'unit': 1087830933823642904670160378521492387, 'val': 1}
  • id: 362252
    {'lmfdb_iso': '8736.c', 'p': 83, 'prec': 20, 'unit': 1048264040482285404309277591956438688, 'val': 1}
  • id: 362268
    {'lmfdb_iso': '8736.c', 'p': 89, 'prec': 20, 'unit': 10202694619102175331276324668884290020, 'val': 1}
  • id: 362251
    {'lmfdb_iso': '8736.c', 'p': 97, 'prec': 20, 'unit': 2182072803437062593427277890778049408441, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '8736e', 'Clabel': '8736e1', 'Cnumber': 1, 'abc_quality': 0.9289275215030577, 'absD': 45921447936, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 182, 'ainvs': [0, -1, 0, -397, -10619], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8736, 'degree': 6912, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72925161071069659139507794992', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-1693669888, 11211291], 'lmfdb_iso': '8736.c', 'lmfdb_label': '8736.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -397, -10619], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['182.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.55877289118294366070989172861', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 91], [3, 4, 224], [7, 8, 1248], [13, 14, 672]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.036104430150751281977845828462', 'prec': 107}, 'szpiro_ratio': 3.535867221853801, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}