Elliptic curve isogeny class data - 2700.f

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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, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, 0, 0, -2, 0, -2, -3, 5, 3, 6, 5, -2, -12, -8, -12, -3, -6, -7, -2, -12, 16, -1, -15, 12, 16], 'class_deg': 3, 'class_size': 2, 'conductor': 2700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '2700.f', 'trace_hash': 814315096579022636}
• ec_padic •

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

  
  
  • id: 85283
    {'lmfdb_iso': '2700.f', 'p': 7, 'prec': 20, 'unit': 10151595085779664, 'val': 1}
  • id: 85287
    {'lmfdb_iso': '2700.f', 'p': 13, 'prec': 20, 'unit': 175373221462918427349, 'val': 1}
  • id: 85289
    {'lmfdb_iso': '2700.f', 'p': 17, 'prec': 20, 'unit': 92867259596166450864697, 'val': 1}
  • id: 85290
    {'lmfdb_iso': '2700.f', 'p': 19, 'prec': 20, 'unit': 1034272104680723139504707, 'val': 1}
  • id: 85294
    {'lmfdb_iso': '2700.f', 'p': 23, 'prec': 20, 'unit': 19352883572565293155667448, 'val': 1}
  • id: 85286
    {'lmfdb_iso': '2700.f', 'p': 29, 'prec': 20, 'unit': 4650912735285827622139157554, 'val': 1}
  • id: 85299
    {'lmfdb_iso': '2700.f', 'p': 31, 'prec': 20, 'unit': 16641681110676114621655503215, 'val': 1}
  • id: 85282
    {'lmfdb_iso': '2700.f', 'p': 37, 'prec': 20, 'unit': 471179533250128199127792584812, 'val': 1}
  • id: 85284
    {'lmfdb_iso': '2700.f', 'p': 41, 'prec': 20, 'unit': 1490092547997569139840751750608, 'val': 1}
  • id: 85285
    {'lmfdb_iso': '2700.f', 'p': 43, 'prec': 20, 'unit': 662968783959785771047133029446, 'val': 1}
  • id: 85297
    {'lmfdb_iso': '2700.f', 'p': 47, 'prec': 20, 'unit': 37181336040504325717865359446298, 'val': 1}
  • id: 85291
    {'lmfdb_iso': '2700.f', 'p': 53, 'prec': 20, 'unit': 216391070395309062669298483702847, 'val': 1}
  • id: 85292
    {'lmfdb_iso': '2700.f', 'p': 59, 'prec': 20, 'unit': 38881514819574354447297097669223, 'val': 1}
  • id: 85298
    {'lmfdb_iso': '2700.f', 'p': 61, 'prec': 20, 'unit': 6235543442717770331855820428329198, 'val': 1}
  • id: 85281
    {'lmfdb_iso': '2700.f', 'p': 67, 'prec': 20, 'unit': 462154695976120849831419058994186, 'val': 1}
  • id: 85296
    {'lmfdb_iso': '2700.f', 'p': 71, 'prec': 20, 'unit': 122996398779715278098279336607640635, 'val': 1}
  • id: 85293
    {'lmfdb_iso': '2700.f', 'p': 73, 'prec': 20, 'unit': 40404130655684358085863359212876860, 'val': 1}
  • id: 85288
    {'lmfdb_iso': '2700.f', 'p': 79, 'prec': 20, 'unit': 86787988134065692324285787428698564, 'val': 1}
  • id: 85280
    {'lmfdb_iso': '2700.f', 'p': 83, 'prec': 20, 'unit': 1185855453335196188199827471226007717, 'val': 1}
  • id: 85295
    {'lmfdb_iso': '2700.f', 'p': 89, 'prec': 20, 'unit': 2755576852688819629281780917982066544, 'val': 1}
  • id: 85279
    {'lmfdb_iso': '2700.f', 'p': 97, 'prec': 20, 'unit': 4527582968269116987403417139654399473, '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: 15881
    {'Ciso': '2700m', 'Clabel': '2700m1', 'Cnumber': 1, 'abc_quality': 0.9543962106911784, 'absD': 33750000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, -825, 9125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 2700, 'degree': 864, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.39323565855031654098259778135', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-9199872, 5], 'lmfdb_iso': '2700.f', 'lmfdb_label': '2700.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -33, 73], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '15.8.0-3.a.1.2', '30.16.0-30.b.1.1'], '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': '0.38176613984323418480394311845', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 2, 100], [5, 18, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91718543002040950563900390165', 'prec': 107}, 'szpiro_ratio': 4.019828318783782, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 15882
    {'Ciso': '2700m', 'Clabel': '2700m2', 'Cnumber': 2, 'abc_quality': 1.027195810121916, 'absD': 615093750000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, 675, 37125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 2700, 'degree': 2592, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94254180288437138668022039981', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [6912, 125], 'lmfdb_iso': '2700.f', 'lmfdb_label': '2700.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 27, 297], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '15.8.0-3.a.1.1', '30.16.0-30.b.1.3'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.12725537994774472826798103948', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 2, 10], [5, 18, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91718543002040950563900390165', 'prec': 107}, 'szpiro_ratio': 4.375041948747684, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}