Elliptic curve isogeny class data - 27930.x

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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, 0, -1, 1, -1, 5, -1, -1, 0, -1, 1, 6, -1, -1, 1], 'aplist': [-1, -1, 1, 0, 5, -1, 6, -1, 1, 4, -7, -2, -10, -1, -6, 1, 7, -3, 2, 9, -3, 0, 11, -10, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 27930, 'isogeny_matrix': [[1]], 'lmfdb_iso': '27930.x', 'trace_hash': 158125845261701821}
• ec_padic •

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

  
  
  • id: 1340012
    {'lmfdb_iso': '27930.x', 'p': 11, 'prec': 20, 'unit': 44118314244466220610, 'val': 1}
  • id: 1340018
    {'lmfdb_iso': '27930.x', 'p': 13, 'prec': 20, 'unit': 37055926145094748540, 'val': 1}
  • id: 1340020
    {'lmfdb_iso': '27930.x', 'p': 17, 'prec': 20, 'unit': 133211743900561560509137, 'val': 1}
  • id: 1340024
    {'lmfdb_iso': '27930.x', 'p': 23, 'prec': 20, 'unit': 596401672652445729396735735, 'val': -1}
  • id: 1340017
    {'lmfdb_iso': '27930.x', 'p': 29, 'prec': 20, 'unit': 2259716693078732206078617476, 'val': 1}
  • id: 1340028
    {'lmfdb_iso': '27930.x', 'p': 31, 'prec': 20, 'unit': 20701897690228490221107958907, 'val': 1}
  • id: 1340013
    {'lmfdb_iso': '27930.x', 'p': 37, 'prec': 20, 'unit': 195626376305069170918898457372, 'val': 1}
  • id: 1340015
    {'lmfdb_iso': '27930.x', 'p': 41, 'prec': 20, 'unit': 3048596726603468650546191347943, 'val': 1}
  • id: 1340016
    {'lmfdb_iso': '27930.x', 'p': 43, 'prec': 20, 'unit': 7418217628254684038339106678975, 'val': 1}
  • id: 1340019
    {'lmfdb_iso': '27930.x', 'p': 47, 'prec': 20, 'unit': 45295698420912583325051658084624, 'val': 1}
  • id: 1340022
    {'lmfdb_iso': '27930.x', 'p': 53, 'prec': 20, 'unit': 22180988202495922366509979138872210, 'val': -1}
  • id: 1340026
    {'lmfdb_iso': '27930.x', 'p': 59, 'prec': 20, 'unit': 923240741122727560805868597702995, 'val': 1}
  • id: 1340027
    {'lmfdb_iso': '27930.x', 'p': 61, 'prec': 20, 'unit': 5616066524026105595782007675607519, 'val': 1}
  • id: 1340021
    {'lmfdb_iso': '27930.x', 'p': 67, 'prec': 20, 'unit': 7144944688952123152225631851333416, 'val': 1}
  • id: 1340014
    {'lmfdb_iso': '27930.x', 'p': 71, 'prec': 20, 'unit': 148476313262553250302182604541782666, 'val': 1}
  • id: 1340023
    {'lmfdb_iso': '27930.x', 'p': 73, 'prec': 20, 'unit': 164510333537871750335571935129130673, 'val': 1}
  • id: 1340011
    {'lmfdb_iso': '27930.x', 'p': 83, 'prec': 20, 'unit': 100950008801704140377446604960044667, 'val': 1}
  • id: 1340025
    {'lmfdb_iso': '27930.x', 'p': 89, 'prec': 20, 'unit': 1136912084086273872518241130081382358, 'val': 1}
  • id: 1340010
    {'lmfdb_iso': '27930.x', 'p': 97, 'prec': 20, 'unit': 34843897642932661971725868755897546573, '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[]

  
  {'Ciso': '27930r', 'Clabel': '27930r1', 'Cnumber': 1, 'abc_quality': 1.082511858129502, 'absD': 2252381169137425187992419524086333440, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -3695905122277, 2735775223839669901], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 27930, 'degree': 957640320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.9387220293445848879475592861', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1], 'jinv': [-138357846491853121383730987168838623, 55816105091607428996184145920], 'lmfdb_iso': '27930.x', 'lmfdb_label': '27930.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -75426635149, -7976031835990648], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['15960.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '255.68657516369356610144694980', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1995], [3, 4, 4655], [5, 6, 1862], [7, 20, 570], [19, 20, 1470]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.4792894175530999091185447285', 'prec': 100}, 'szpiro_ratio': 9.614598915830628, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}