Elliptic curve isogeny class data - 4992.h

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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, 1, 0, 2, 0, -4, 0, 1, 0, 0, 0, -1, 0, 2, 0, -2, 0, -6, 0], 'aplist': [0, 1, 2, -4, 0, -1, -2, -6, 8, 4, -4, 6, 0, -8, 0, 0, -8, -10, -14, 8, -2, -14, -4, 8, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 4992, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4992.h', 'trace_hash': 682958674589643241}
• ec_padic •

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

  
  
  • id: 183593
    {'lmfdb_iso': '4992.h', 'p': 5, 'prec': 20, 'unit': 9439423800017, 'val': 1}
  • id: 183594
    {'lmfdb_iso': '4992.h', 'p': 7, 'prec': 20, 'unit': 3000563691059952, 'val': 1}
  • id: 183600
    {'lmfdb_iso': '4992.h', 'p': 17, 'prec': 20, 'unit': 15277399903865201241517, 'val': 1}
  • id: 183590
    {'lmfdb_iso': '4992.h', 'p': 19, 'prec': 20, 'unit': 1434427776102477694141310, 'val': 1}
  • id: 183602
    {'lmfdb_iso': '4992.h', 'p': 23, 'prec': 20, 'unit': 7037518068832150324186555, 'val': 1}
  • id: 183598
    {'lmfdb_iso': '4992.h', 'p': 29, 'prec': 20, 'unit': 917427585662259943013233275, 'val': 1}
  • id: 183595
    {'lmfdb_iso': '4992.h', 'p': 31, 'prec': 20, 'unit': 18556688087485402299990689501, 'val': 1}
  • id: 183607
    {'lmfdb_iso': '4992.h', 'p': 37, 'prec': 20, 'unit': 99652668757985841571691356148, 'val': 1}
  • id: 183597
    {'lmfdb_iso': '4992.h', 'p': 43, 'prec': 20, 'unit': 4772605061530820186345082785574, 'val': 1}
  • id: 183605
    {'lmfdb_iso': '4992.h', 'p': 59, 'prec': 20, 'unit': 3279328555591656334421673186093215, 'val': 1}
  • id: 183606
    {'lmfdb_iso': '4992.h', 'p': 61, 'prec': 20, 'unit': 3695551358193216701239463916559311, 'val': 1}
  • id: 183592
    {'lmfdb_iso': '4992.h', 'p': 67, 'prec': 20, 'unit': 33214184767030199095726136248568170, 'val': 1}
  • id: 183604
    {'lmfdb_iso': '4992.h', 'p': 71, 'prec': 20, 'unit': 91870090674458653364989682409209559, 'val': 1}
  • id: 183596
    {'lmfdb_iso': '4992.h', 'p': 73, 'prec': 20, 'unit': 36272578254551664939709547996842152, 'val': 1}
  • id: 183599
    {'lmfdb_iso': '4992.h', 'p': 79, 'prec': 20, 'unit': 637414700433181838420825344841538286, 'val': 1}
  • id: 183601
    {'lmfdb_iso': '4992.h', 'p': 83, 'prec': 20, 'unit': 2877191804401213205851613620167456704, 'val': 1}
  • id: 183603
    {'lmfdb_iso': '4992.h', 'p': 89, 'prec': 20, 'unit': 8121622436673746359959622687245956259, 'val': 1}
  • id: 183591
    {'lmfdb_iso': '4992.h', 'p': 97, 'prec': 20, 'unit': 16330484408598524192909631052532151536, '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: 30991
    {'Ciso': '4992h', 'Clabel': '4992h1', 'Cnumber': 1, 'abc_quality': 1.1304608551479276, 'absD': 1168128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 312, 'ainvs': [0, 1, 0, -27, -27], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4992, 'degree': 768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.14372425268803830695746210423', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [8821888, 4563], 'lmfdb_iso': '4992.h', 'lmfdb_label': '4992.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -109, -107], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '104.6.0.?', '312.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68579556800381864178323429229', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 1664], [13, 14, 384]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60582237306133517990228351854', 'prec': 107}, 'szpiro_ratio': 2.529233920086655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 30992
    {'Ciso': '4992h', 'Clabel': '4992h2', 'Cnumber': 2, 'abc_quality': 0.9283555452535579, 'absD': 77635584, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 312, 'ainvs': [0, 1, 0, 103, -105], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4992, 'degree': 1536, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20284933759193434775115395650', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [14609056, 9477], 'lmfdb_iso': '4992.h', 'lmfdb_label': '4992.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 26, -26], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '104.6.0.?', '312.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3715911360076372835664685846', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13], [3, 4, 1664], [13, 14, 384]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54806010801467307078418084175', 'prec': 107}, 'szpiro_ratio': 2.9954541956781604, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}