Elliptic curve isogeny class data - 4140.i

Formats: - HTML - YAML - JSON - 2024-05-23T22:18:49.395727

• 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, 0, 0, -4, 0, 0, 0, 3, 0, -4, 0], 'aplist': [0, 0, 1, -1, 0, -4, 3, -4, 1, 3, -7, 11, 9, -4, -6, -9, -3, -10, -13, -9, -16, 8, 15, 0, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 4140, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4140.i', 'trace_hash': 112877984250302249}
• ec_padic •

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

  
  
  • id: 145751
    {'lmfdb_iso': '4140.i', 'p': 7, 'prec': 20, 'unit': 2322502606397459, 'val': 1}
  • id: 145755
    {'lmfdb_iso': '4140.i', 'p': 13, 'prec': 20, 'unit': 871672952330289855448, 'val': 1}
  • id: 145757
    {'lmfdb_iso': '4140.i', 'p': 17, 'prec': 20, 'unit': 9304815869160232085010, 'val': 1}
  • id: 145758
    {'lmfdb_iso': '4140.i', 'p': 19, 'prec': 20, 'unit': 528309447106402487271634, 'val': 1}
  • id: 145754
    {'lmfdb_iso': '4140.i', 'p': 29, 'prec': 20, 'unit': 5703190786255852081485031895, 'val': 1}
  • id: 145765
    {'lmfdb_iso': '4140.i', 'p': 31, 'prec': 20, 'unit': 14019015796634310178115889364, 'val': 1}
  • id: 145750
    {'lmfdb_iso': '4140.i', 'p': 37, 'prec': 20, 'unit': 400236403732389408076424571454, 'val': 1}
  • id: 145752
    {'lmfdb_iso': '4140.i', 'p': 41, 'prec': 20, 'unit': 2074252866742910125957639294399, 'val': 1}
  • id: 145753
    {'lmfdb_iso': '4140.i', 'p': 43, 'prec': 20, 'unit': 7156674673629992337096619236956, 'val': 1}
  • id: 145763
    {'lmfdb_iso': '4140.i', 'p': 47, 'prec': 20, 'unit': 10379727901858696448698526784033, 'val': 1}
  • id: 145759
    {'lmfdb_iso': '4140.i', 'p': 53, 'prec': 20, 'unit': 506538909204707654711708396339070, 'val': 1}
  • id: 145760
    {'lmfdb_iso': '4140.i', 'p': 59, 'prec': 20, 'unit': 694931500291978074680985527157474, 'val': 1}
  • id: 145764
    {'lmfdb_iso': '4140.i', 'p': 61, 'prec': 20, 'unit': 4811999998631099876795697249822100, 'val': 1}
  • id: 145749
    {'lmfdb_iso': '4140.i', 'p': 67, 'prec': 20, 'unit': 6676425512275298074003524869438379, 'val': 1}
  • id: 145762
    {'lmfdb_iso': '4140.i', 'p': 71, 'prec': 20, 'unit': 143847932224852447268906503459233969, 'val': 1}
  • id: 145761
    {'lmfdb_iso': '4140.i', 'p': 73, 'prec': 20, 'unit': 141310331931466050426583057797371348, 'val': 1}
  • id: 145756
    {'lmfdb_iso': '4140.i', 'p': 79, 'prec': 20, 'unit': 209943046578904369049889725409026899, 'val': 1}
  • id: 145748
    {'lmfdb_iso': '4140.i', 'p': 83, 'prec': 20, 'unit': 882382768854544793512639020731930229, 'val': 1}
  • id: 145747
    {'lmfdb_iso': '4140.i', 'p': 97, 'prec': 20, 'unit': 14024796386453178225945516891665988193, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 25302
    {'Ciso': '4140h', 'Clabel': '4140h2', 'Cnumber': 2, 'abc_quality': 0.988192254124807, 'absD': 2554485984000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 690, 'ainvs': [0, 0, 0, -12432, 539044], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4140, 'degree': 6912, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1925183671591665721915850182', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-1138621087744, 13687875], 'lmfdb_iso': '4140.i', 'lmfdb_label': '4140.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1381, -20425], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '230.2.0.?', '690.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.76240389330776943911670888635', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18111410245181485354914098543', 'prec': 103}, 'szpiro_ratio': 4.792998142844078, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 25301
    {'Ciso': '4140h', 'Clabel': '4140h1', 'Cnumber': 1, 'abc_quality': 0.9266907371674596, 'absD': 15645623040, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 690, 'ainvs': [0, 0, 0, 528, 3796], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4140, 'degree': 2304, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64321222282511172649396239974', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [87228416, 83835], 'lmfdb_iso': '4140.i', 'lmfdb_label': '4140.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 59, -121], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '230.2.0.?', '690.16.0.?'], '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': '2.2872116799233083173501266590', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36819204188223999214848163303', 'prec': 107}, 'szpiro_ratio': 3.6526470096029766, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}