Elliptic curve isogeny class data - 7872.s

Formats: - HTML - YAML - JSON - 2025-11-03T02:38:17.471986

• 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, 1, 0, -6, 0, 1, 0, -3, 0, 3, 0, 5, 0], 'aplist': [0, 1, -3, -2, -6, 1, 3, 5, 6, 0, 1, -2, -1, 8, 12, -6, -9, 10, -13, -15, -7, 4, 3, 15, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 7872, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '7872.s', 'trace_hash': 1964993309841522626}
• ec_padic •

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

  
  
  • id: 323119
    {'lmfdb_iso': '7872.s', 'p': 5, 'prec': 20, 'unit': 6294477485131, 'val': 1}
  • id: 323120
    {'lmfdb_iso': '7872.s', 'p': 7, 'prec': 20, 'unit': 2820771367392226, 'val': 1}
  • id: 323118
    {'lmfdb_iso': '7872.s', 'p': 11, 'prec': 20, 'unit': 11764168766412847217, 'val': 1}
  • id: 323124
    {'lmfdb_iso': '7872.s', 'p': 13, 'prec': 20, 'unit': 14150606002988761334045, 'val': -1}
  • id: 323126
    {'lmfdb_iso': '7872.s', 'p': 17, 'prec': 20, 'unit': 194381352523575033003502, 'val': 1}
  • id: 323127
    {'lmfdb_iso': '7872.s', 'p': 19, 'prec': 20, 'unit': 1053347405581872278830812, 'val': 1}
  • id: 323130
    {'lmfdb_iso': '7872.s', 'p': 23, 'prec': 20, 'unit': 5635862648916428905454123, 'val': 1}
  • id: 323121
    {'lmfdb_iso': '7872.s', 'p': 31, 'prec': 20, 'unit': 114022347597404324533897341404, 'val': -1}
  • id: 323136
    {'lmfdb_iso': '7872.s', 'p': 37, 'prec': 20, 'unit': 148890514000117300980051374043, 'val': 1}
  • id: 323123
    {'lmfdb_iso': '7872.s', 'p': 43, 'prec': 20, 'unit': 670153892131495448848684910109, 'val': 1}
  • id: 323134
    {'lmfdb_iso': '7872.s', 'p': 47, 'prec': 20, 'unit': 2564079936876423085869806707023, 'val': 1}
  • id: 323128
    {'lmfdb_iso': '7872.s', 'p': 53, 'prec': 20, 'unit': 299867206477742145244192875230150, 'val': 1}
  • id: 323129
    {'lmfdb_iso': '7872.s', 'p': 59, 'prec': 20, 'unit': 3056816064691471515911683849914785, 'val': 1}
  • id: 323135
    {'lmfdb_iso': '7872.s', 'p': 61, 'prec': 20, 'unit': 913663083433249613531473961774936, 'val': 1}
  • id: 323117
    {'lmfdb_iso': '7872.s', 'p': 67, 'prec': 20, 'unit': 1272350393037558377051382247954909, 'val': 1}
  • id: 323133
    {'lmfdb_iso': '7872.s', 'p': 71, 'prec': 20, 'unit': 140483888566469134062966584802100098, 'val': 1}
  • id: 323122
    {'lmfdb_iso': '7872.s', 'p': 73, 'prec': 20, 'unit': 242204123838540335890144043887086392, 'val': 1}
  • id: 323125
    {'lmfdb_iso': '7872.s', 'p': 79, 'prec': 20, 'unit': 9464382718679936683873682965400373, 'val': 2}
  • id: 323131
    {'lmfdb_iso': '7872.s', 'p': 83, 'prec': 20, 'unit': 673777868199984186355632326516590298, 'val': 1}
  • id: 323132
    {'lmfdb_iso': '7872.s', 'p': 89, 'prec': 20, 'unit': 1147348192608299313179068724767634473, 'val': 1}
  • id: 323116
    {'lmfdb_iso': '7872.s', 'p': 97, 'prec': 20, 'unit': 45052052714025476016371057378601851317, '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: 50493
    {'Ciso': '7872be', 'Clabel': '7872be1', 'Cnumber': 1, 'abc_quality': 0.8755235934443263, 'absD': 580386816, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 984, 'ainvs': [0, 1, 0, -97, -1249], 'analytic_rank': 1, 'bad_primes': [2, 3, 41], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 7872, 'degree': 3840, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36551556943359364340787278734', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [-389017, 2214], 'lmfdb_iso': '7872.s', 'lmfdb_label': '7872.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2, 2], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '492.8.0.?', '984.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.44931112620069537139386676647', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 123], [3, 4, 2624], [41, 42, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67420520140632432071797539485', 'prec': 107}, 'szpiro_ratio': 3.091133164866294, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 50494
    {'Ciso': '7872be', 'Clabel': '7872be2', 'Cnumber': 2, 'abc_quality': 0.9543645145879902, 'absD': 433613438976, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 984, 'ainvs': [0, 1, 0, 863, 30431], 'analytic_rank': 1, 'bad_primes': [2, 3, 41], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 7872, 'degree': 11520, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91482171376764848910549540580', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [270840023, 1654104], 'lmfdb_iso': '7872.s', 'lmfdb_label': '7872.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 13, -58], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.3', '492.8.0.?', '984.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3479333786020861141816002994', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 123], [3, 4, 64], [41, 42, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12489905707226947502035277639', 'prec': 107}, 'szpiro_ratio': 3.8067475033217844, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}