Elliptic curve isogeny class data - 1088.h

Formats: - HTML - YAML - JSON - 2026-03-02T10:12:22.206481

• 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, 2, 0, -4, 0, -3, 0, 0, 0, 2, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 0, 2, -4, 0, 2, 1, -4, -4, -6, -4, 2, -6, 4, 0, -6, -12, 10, 4, 4, -6, -12, -4, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 1088, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1088.h', 'trace_hash': 250382379885327410}
• ec_padic •

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

  
  
  • id: 25379
    {'lmfdb_iso': '1088.h', 'p': 5, 'prec': 20, 'unit': 6281664456876, 'val': 1}
  • id: 25380
    {'lmfdb_iso': '1088.h', 'p': 7, 'prec': 20, 'unit': 3719057166601118, 'val': 1}
  • id: 25385
    {'lmfdb_iso': '1088.h', 'p': 13, 'prec': 20, 'unit': 559220150031199484339, 'val': 1}
  • id: 25376
    {'lmfdb_iso': '1088.h', 'p': 19, 'prec': 20, 'unit': 1938022961983263569833379, 'val': 1}
  • id: 25390
    {'lmfdb_iso': '1088.h', 'p': 23, 'prec': 20, 'unit': 8020861933974768917460660, 'val': 1}
  • id: 25384
    {'lmfdb_iso': '1088.h', 'p': 29, 'prec': 20, 'unit': 450407621846862544867396141, 'val': 1}
  • id: 25381
    {'lmfdb_iso': '1088.h', 'p': 31, 'prec': 20, 'unit': 10483790226999981946826754270, 'val': 1}
  • id: 25395
    {'lmfdb_iso': '1088.h', 'p': 37, 'prec': 20, 'unit': 574371528259567974204322769299, 'val': 1}
  • id: 25382
    {'lmfdb_iso': '1088.h', 'p': 41, 'prec': 20, 'unit': 3560837219987180379699997051684, 'val': 1}
  • id: 25383
    {'lmfdb_iso': '1088.h', 'p': 43, 'prec': 20, 'unit': 3754614290761445339617292175038, 'val': 1}
  • id: 25388
    {'lmfdb_iso': '1088.h', 'p': 53, 'prec': 20, 'unit': 265197826263094752929962987179689, 'val': 1}
  • id: 25393
    {'lmfdb_iso': '1088.h', 'p': 59, 'prec': 20, 'unit': 4030756758499517456177886426608910, 'val': 1}
  • id: 25394
    {'lmfdb_iso': '1088.h', 'p': 61, 'prec': 20, 'unit': 3253467226682314318145097580414746, 'val': 1}
  • id: 25378
    {'lmfdb_iso': '1088.h', 'p': 67, 'prec': 20, 'unit': 36171309417923954745308737664351328, 'val': 1}
  • id: 25392
    {'lmfdb_iso': '1088.h', 'p': 71, 'prec': 20, 'unit': 133439417667339494017322529418597566, 'val': 1}
  • id: 25389
    {'lmfdb_iso': '1088.h', 'p': 73, 'prec': 20, 'unit': 987968285213641249844614741969982, 'val': 2}
  • id: 25386
    {'lmfdb_iso': '1088.h', 'p': 79, 'prec': 20, 'unit': 746304081071884249554556933648980606, 'val': 1}
  • id: 25387
    {'lmfdb_iso': '1088.h', 'p': 83, 'prec': 20, 'unit': 1486160012293046570469170321854617765, 'val': 1}
  • id: 25391
    {'lmfdb_iso': '1088.h', 'p': 89, 'prec': 20, 'unit': 6334188764082551867976993800060264833, 'val': 1}
  • id: 25377
    {'lmfdb_iso': '1088.h', 'p': 97, 'prec': 20, 'unit': 44899285002456591945366061242822885407, '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: 5650
    {'Ciso': '1088k', 'Clabel': '1088k3', 'Cnumber': 3, 'abc_quality': 1.0313050753900588, 'absD': 4456448, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [0, 0, 0, -5804, 170192], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1088, 'degree': 512, 'elladic_images': ['32.96.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66308464989857448316841517796', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '1088.h', 'lmfdb_label': '1088.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.o.1.7', '16.48.0-16.j.1.7', '32.96.0-32.f.2.5', '34.6.0.a.1', '68.12.0.g.1', '136.96.0.?', '272.384.7.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3005336939711092744187374788', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [17, 18, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'szpiro_ratio': 5.379289497103889, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 5649
    {'Ciso': '1088k', 'Clabel': '1088k2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 75759616, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 544, 'ainvs': [0, 0, 0, -364, 2640], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1088, 'degree': 256, 'elladic_images': ['16.96.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31651105961860182845979911723', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '1088.h', 'lmfdb_label': '1088.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.48.0-8.f.1.2', '16.96.0-16.c.2.1', '68.24.0.b.1', '136.192.3.?', '272.768.21.?', '544.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6010673879422185488374749576', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [17, 18, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906496', 'prec': 107}, 'szpiro_ratio': 4.191169978824841, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 5648
    {'Ciso': '1088k', 'Clabel': '1088k1', 'Cnumber': 1, 'abc_quality': 1.024323072883995, 'absD': 4456448, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [0, 0, 0, -44, -48], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1088, 'degree': 128, 'elladic_images': ['32.96.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.030062530661370826248816943501', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [35937, 17], 'lmfdb_iso': '1088.h', 'lmfdb_label': '1088.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 0], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.o.1.5', '16.48.0-16.j.1.5', '32.96.0-32.f.2.6', '34.6.0.a.1', '68.12.0.g.1', '136.96.0.?', '272.384.7.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3005336939711092744187374788', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [17, 18, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'szpiro_ratio': 3.284590276019149, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 5651
    {'Ciso': '1088k', 'Clabel': '1088k4', 'Cnumber': 4, 'abc_quality': 1.1807067659885138, 'absD': 21894529024, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [0, 0, 0, -44, 7120], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1088, 'degree': 512, 'elladic_images': ['16.96.0.23'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66308464989857448316841517796', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '1088.h', 'lmfdb_label': '1088.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.2', '8.48.0-8.t.1.1', '16.96.0-16.m.2.2', '136.96.1.?', '272.384.9.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3005336939711092744187374788', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [17, 18, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'szpiro_ratio': 4.471401656280469, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}