Elliptic curve isogeny class data - 43681.a

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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, -2, 1, 2, 1, -2, 2, 0, -2, -2, 0, 2, 4, -4, 1, -4, 2, 4, 0, 2], 'aplist': [-2, 1, 1, 2, 0, 4, 2, 0, -1, 0, -7, -3, -8, 6, 8, 6, -5, -12, 7, 3, -4, -10, 6, -15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 43681, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '43681.a', 'trace_hash': 899512665719563647}
• ec_padic •

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

  
  
  • id: 2178992
    {'lmfdb_iso': '43681.a', 'p': 5, 'prec': 20, 'unit': 94112259437821, 'val': 0}
  • id: 2178993
    {'lmfdb_iso': '43681.a', 'p': 7, 'prec': 20, 'unit': 531415845713131, 'val': 2}
  • id: 2178997
    {'lmfdb_iso': '43681.a', 'p': 13, 'prec': 20, 'unit': 1190229851053497827997, 'val': 1}
  • id: 2178999
    {'lmfdb_iso': '43681.a', 'p': 17, 'prec': 20, 'unit': 2309144658499618190740, 'val': 1}
  • id: 2179004
    {'lmfdb_iso': '43681.a', 'p': 23, 'prec': 20, 'unit': 73059331654352784196034138, 'val': 1}
  • id: 2178994
    {'lmfdb_iso': '43681.a', 'p': 31, 'prec': 20, 'unit': 17848615999436778680076347813, 'val': 1}
  • id: 2179009
    {'lmfdb_iso': '43681.a', 'p': 37, 'prec': 20, 'unit': 414990620739640698199473576900, 'val': 1}
  • id: 2178995
    {'lmfdb_iso': '43681.a', 'p': 41, 'prec': 20, 'unit': 3750670955109801609472019174213, 'val': 1}
  • id: 2178996
    {'lmfdb_iso': '43681.a', 'p': 43, 'prec': 20, 'unit': 1291803762353651086131233239809, 'val': 1}
  • id: 2179007
    {'lmfdb_iso': '43681.a', 'p': 47, 'prec': 20, 'unit': 47671437355675756947614062687454, 'val': 1}
  • id: 2179001
    {'lmfdb_iso': '43681.a', 'p': 53, 'prec': 20, 'unit': 559729939650754973716156529052623, 'val': 1}
  • id: 2179002
    {'lmfdb_iso': '43681.a', 'p': 59, 'prec': 20, 'unit': 3744079255598409376036630047671280, 'val': 1}
  • id: 2179008
    {'lmfdb_iso': '43681.a', 'p': 61, 'prec': 20, 'unit': 976647118599128747151984074744684, 'val': 1}
  • id: 2178991
    {'lmfdb_iso': '43681.a', 'p': 67, 'prec': 20, 'unit': 47380085619661065043980042796783113, 'val': 1}
  • id: 2179006
    {'lmfdb_iso': '43681.a', 'p': 71, 'prec': 20, 'unit': 105208310258882501176268676027544726, 'val': 1}
  • id: 2179003
    {'lmfdb_iso': '43681.a', 'p': 73, 'prec': 20, 'unit': 87831776426431741183225167000745745, 'val': 1}
  • id: 2178998
    {'lmfdb_iso': '43681.a', 'p': 79, 'prec': 20, 'unit': 103653630178005900934174253444242796, 'val': 1}
  • id: 2179000
    {'lmfdb_iso': '43681.a', 'p': 83, 'prec': 20, 'unit': 2298808787244995307500203877236344329, 'val': 1}
  • id: 2179005
    {'lmfdb_iso': '43681.a', 'p': 89, 'prec': 20, 'unit': 6004904872263945723700975320893527232, 'val': 1}
  • id: 2178990
    {'lmfdb_iso': '43681.a', 'p': 97, 'prec': 20, 'unit': 35580024204968723022469045219506014892, '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: 290898
    {'Ciso': '43681m', 'Clabel': '43681m3', 'Cnumber': 3, 'abc_quality': 1.0929566831983986, 'absD': 916791127892651, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 10450, 'ainvs': [0, 1, 1, -341599980, -2430217915988], 'analytic_rank': 1, 'bad_primes': [11, 19], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 43681, 'degree': 4320000, 'elladic_images': ['25.60.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1678762410810526246468509101', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-52893159101157376, 11], 'lmfdb_iso': '43681.a', 'lmfdb_label': '43681.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7820, -263580], 'min_quad_twist_disc': 209, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '22.2.0.a.1', '25.60.0.a.2', '110.24.1.?', '190.24.0.?', '275.300.12.?', '550.600.37.?', '950.120.0.?', '1045.24.0.?', '2090.48.1.?', '5225.600.12.?', '10450.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '58.182560168273918498979522125', 'prec': 100}, 'semistable': False, 'serre_invariants': [[11, 72, 361], [19, 182, 121]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540517', 'prec': 103}, 'szpiro_ratio': 6.603953683138829, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 290897
    {'Ciso': '43681m', 'Clabel': '43681m2', 'Cnumber': 2, 'abc_quality': 1.012998630378065, 'absD': 13422738903476303291, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 10450, 'ainvs': [0, 1, 1, -451370, -211562048], 'analytic_rank': 1, 'bad_primes': [11, 19], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 43681, 'degree': 864000, 'elladic_images': ['5.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3631572848640024373464712435', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-122023936, 161051], 'lmfdb_iso': '43681.a', 'lmfdb_label': '43681.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -10, -20], 'min_quad_twist_disc': 209, 'modell_images': ['5Cs.4.1'], 'modm_images': ['5.60.0.a.1', '22.2.0.a.1', '110.120.5.?', '190.120.0.?', '275.300.12.?', '550.600.37.?', '1045.120.0.?', '2090.240.5.?', '5225.600.12.?', '10450.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.636512033654783699795904425', 'prec': 100}, 'semistable': False, 'serre_invariants': [[11, 72, 361], [19, 182, 121]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426143', 'prec': 107}, 'szpiro_ratio': 4.853850209562419, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 290896
    {'Ciso': '43681m', 'Clabel': '43681m1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 916791127892651, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 10450, 'ainvs': [0, 1, 1, -14560, 1601232], 'analytic_rank': 1, 'bad_primes': [11, 19], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 43681, 'degree': 172800, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5584383286469522500460915769', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '43681.a', 'lmfdb_label': '43681.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': 209, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '110.24.1.?', '190.24.0.?', '275.300.12.?', '550.600.37.?', '950.120.0.?', '1045.24.0.?', '2090.48.1.?', '5225.600.12.?', '10450.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3273024067309567399591808850', 'prec': 100}, 'semistable': False, 'serre_invariants': [[11, 72, 361], [19, 182, 121]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939280', 'prec': 103}, 'szpiro_ratio': 3.9403905266688595, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}