Elliptic curve isogeny class data - 4400.v

Formats: - HTML - YAML - JSON - 2026-03-15T18:34:22.306708

• 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, 0, 0, 2, 0, -2, 0, 1, 0, 4, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 1, 0, 2, 1, 4, -6, -8, -3, 0, -5, 1, 0, -10, 0, 6, -3, -4, -1, -15, 4, -2, 6, -9, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 4400, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4400.v', 'trace_hash': 1857707142111421121}
• ec_padic •

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

  
  
  • id: 156551
    {'lmfdb_iso': '4400.v', 'p': 7, 'prec': 20, 'unit': 6622335824880897, 'val': 1}
  • id: 156554
    {'lmfdb_iso': '4400.v', 'p': 13, 'prec': 20, 'unit': 1177440726327430229455, 'val': 1}
  • id: 156556
    {'lmfdb_iso': '4400.v', 'p': 17, 'prec': 20, 'unit': 9809676256562239205465, 'val': 1}
  • id: 156547
    {'lmfdb_iso': '4400.v', 'p': 19, 'prec': 20, 'unit': 99830997253165117516446, 'val': 1}
  • id: 156559
    {'lmfdb_iso': '4400.v', 'p': 23, 'prec': 20, 'unit': 37416242412486361297107779, 'val': 1}
  • id: 156564
    {'lmfdb_iso': '4400.v', 'p': 31, 'prec': 20, 'unit': 21470417836137810632408555677, 'val': 1}
  • id: 156550
    {'lmfdb_iso': '4400.v', 'p': 37, 'prec': 20, 'unit': 2786004848656766128182785700968, 'val': 0}
  • id: 156553
    {'lmfdb_iso': '4400.v', 'p': 43, 'prec': 20, 'unit': 1572332465273024672849746955197, 'val': 1}
  • id: 156558
    {'lmfdb_iso': '4400.v', 'p': 53, 'prec': 20, 'unit': 356107161763508802951362606495901, 'val': 1}
  • id: 156562
    {'lmfdb_iso': '4400.v', 'p': 59, 'prec': 20, 'unit': 1740382707087690811375609404525270, 'val': 1}
  • id: 156563
    {'lmfdb_iso': '4400.v', 'p': 61, 'prec': 20, 'unit': 1441754348984488822045449648932974, 'val': 1}
  • id: 156549
    {'lmfdb_iso': '4400.v', 'p': 67, 'prec': 20, 'unit': 20550887870233072680792059774542110, 'val': 1}
  • id: 156561
    {'lmfdb_iso': '4400.v', 'p': 71, 'prec': 20, 'unit': 95932790707223737557686871591894284, 'val': 1}
  • id: 156552
    {'lmfdb_iso': '4400.v', 'p': 73, 'prec': 20, 'unit': 12089214365872393634204096652448164, 'val': 1}
  • id: 156555
    {'lmfdb_iso': '4400.v', 'p': 79, 'prec': 20, 'unit': 628567328430020996890214038239079559, 'val': 1}
  • id: 156557
    {'lmfdb_iso': '4400.v', 'p': 83, 'prec': 20, 'unit': 2354381024914824781506468992837795542, 'val': 1}
  • id: 156560
    {'lmfdb_iso': '4400.v', 'p': 89, 'prec': 20, 'unit': 6401559136317763919657930659639369380, 'val': 1}
  • id: 156548
    {'lmfdb_iso': '4400.v', 'p': 97, 'prec': 20, 'unit': 19415967000145369423975641369425477532, '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[]

  
  
  • id: 26947
    {'Ciso': '4400s', 'Clabel': '4400s2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 5324000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 660, 'ainvs': [0, 1, 0, -1933, 32263], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4400, 'degree': 2592, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70173127475893722519452293814', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '4400.v', 'lmfdb_label': '4400.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': -20, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '60.8.0-3.a.1.1', '66.8.0.a.1', '660.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54670486219032486097334541771', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 2, 400], [5, 14, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56508580183140983505067814278', 'prec': 107}, 'szpiro_ratio': 4.091617524534346, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 26946
    {'Ciso': '4400s', 'Clabel': '4400s1', 'Cnumber': 1, 'abc_quality': 0.8429409118491958, 'absD': 44000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 660, 'ainvs': [0, 1, 0, 67, 263], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4400, 'degree': 864, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.15242513042488237949690031968', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [8192, 11], 'lmfdb_iso': '4400.v', 'lmfdb_label': '4400.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 3, -1], 'min_quad_twist_disc': -20, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '60.8.0-3.a.1.2', '66.8.0.a.1', '660.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6401145865709745829200362531', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 14, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1143919461654646807483007612', 'prec': 103}, 'szpiro_ratio': 2.9192438091945245, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}