Elliptic curve isogeny class data - 8214.k

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• 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, 1, 1, 1, -1, 1, 2, 1, 1, -1, 2, 1, -6, 2, -1, 1, -3, 1, 2, -1], 'aplist': [1, 1, -1, 2, 2, -6, -3, 2, -8, -1, -2, 0, -9, -10, 2, -2, -12, -1, 2, 6, -2, 10, 0, 1, 17], 'class_deg': 1, 'class_size': 1, 'conductor': 8214, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8214.k', 'trace_hash': 1803140376337292489}
• ec_padic •

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

  
  
  • id: 338543
    {'lmfdb_iso': '8214.k', 'p': 5, 'prec': 20, 'unit': 376317083466, 'val': 1}
  • id: 338544
    {'lmfdb_iso': '8214.k', 'p': 7, 'prec': 20, 'unit': 461843107323432, 'val': 2}
  • id: 338542
    {'lmfdb_iso': '8214.k', 'p': 11, 'prec': 20, 'unit': 5236179402026625323, 'val': 1}
  • id: 338548
    {'lmfdb_iso': '8214.k', 'p': 13, 'prec': 20, 'unit': 8016094064528890065, 'val': 1}
  • id: 338550
    {'lmfdb_iso': '8214.k', 'p': 17, 'prec': 20, 'unit': 66815649859570132179936, 'val': 1}
  • id: 338551
    {'lmfdb_iso': '8214.k', 'p': 19, 'prec': 20, 'unit': 941831061394346867381911, 'val': 1}
  • id: 338555
    {'lmfdb_iso': '8214.k', 'p': 23, 'prec': 20, 'unit': 54533712692776884586729811, 'val': 1}
  • id: 338547
    {'lmfdb_iso': '8214.k', 'p': 29, 'prec': 20, 'unit': 3245452844053306574809047714, 'val': 1}
  • id: 338560
    {'lmfdb_iso': '8214.k', 'p': 31, 'prec': 20, 'unit': 18102154113839320695061091047, 'val': 1}
  • id: 338545
    {'lmfdb_iso': '8214.k', 'p': 41, 'prec': 20, 'unit': 3075072621522747255813344226139, 'val': 1}
  • id: 338546
    {'lmfdb_iso': '8214.k', 'p': 43, 'prec': 20, 'unit': 5359174423986622593709439417696, 'val': 1}
  • id: 338558
    {'lmfdb_iso': '8214.k', 'p': 47, 'prec': 20, 'unit': 22782209697066752644795445725542, 'val': 1}
  • id: 338552
    {'lmfdb_iso': '8214.k', 'p': 53, 'prec': 20, 'unit': 560357339569746679738105148466829, 'val': 1}
  • id: 338553
    {'lmfdb_iso': '8214.k', 'p': 59, 'prec': 20, 'unit': 3097944197546333471369840468543302, 'val': 1}
  • id: 338559
    {'lmfdb_iso': '8214.k', 'p': 61, 'prec': 20, 'unit': 2865779492189750001417446063494919, 'val': 1}
  • id: 338541
    {'lmfdb_iso': '8214.k', 'p': 67, 'prec': 20, 'unit': 33282961507961675342587416145781904, 'val': 1}
  • id: 338557
    {'lmfdb_iso': '8214.k', 'p': 71, 'prec': 20, 'unit': 126969759745384936945770536118033383, 'val': 1}
  • id: 338554
    {'lmfdb_iso': '8214.k', 'p': 73, 'prec': 20, 'unit': 1993928031258736158769127029090007, 'val': 1}
  • id: 338549
    {'lmfdb_iso': '8214.k', 'p': 79, 'prec': 20, 'unit': 781110805398905615379466127161292984, 'val': 1}
  • id: 338556
    {'lmfdb_iso': '8214.k', 'p': 89, 'prec': 20, 'unit': 720204091358889114730979479536708310043, 'val': -1}
  • id: 338540
    {'lmfdb_iso': '8214.k', 'p': 97, 'prec': 20, 'unit': 16184541996842306826093390864778033244, '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': '8214j', 'Clabel': '8214j1', 'Cnumber': 1, 'abc_quality': 1.0519758800210008, 'absD': 2299394304, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 296, 'ainvs': [1, 0, 0, 64, 2304], 'analytic_rank': 1, 'bad_primes': [2, 3, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8214, 'degree': 4608, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47583955193300626919049543932', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [21156119, 1679616], 'lmfdb_iso': '8214.k', 'lmfdb_label': '8214.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 64, 2304], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '296.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.10355674693304370490324723644', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1369], [3, 4, 2738], [37, 254, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12598010017436447153752050585', 'prec': 107}, 'szpiro_ratio': 3.217729956172773, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}