Elliptic curve isogeny class data - 42978.r

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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, -4, 1, -2, 1, 1, -4, -3, 1, 1, -2, -4, 1, -7, 1, -1, -4], 'aplist': [1, 1, -4, -2, -3, 1, -7, -1, -6, -1, -3, -2, -8, -1, -12, -11, 10, 7, -7, -3, -1, -10, -6, 0, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 42978, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '42978.r', 'trace_hash': 728883521133168330}
• ec_padic •

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

  
  
  • id: 2140104
    {'lmfdb_iso': '42978.r', 'p': 5, 'prec': 20, 'unit': 5640663092676, 'val': 1}
  • id: 2140105
    {'lmfdb_iso': '42978.r', 'p': 7, 'prec': 20, 'unit': 3717487106520113, 'val': 2}
  • id: 2140103
    {'lmfdb_iso': '42978.r', 'p': 11, 'prec': 20, 'unit': 27984128159788239955, 'val': 2}
  • id: 2140110
    {'lmfdb_iso': '42978.r', 'p': 17, 'prec': 20, 'unit': 165756060866267200062979, 'val': 2}
  • id: 2140115
    {'lmfdb_iso': '42978.r', 'p': 23, 'prec': 20, 'unit': 71591775640745120307504237, 'val': 2}
  • id: 2140106
    {'lmfdb_iso': '42978.r', 'p': 31, 'prec': 20, 'unit': 8074578119380854348795386537, 'val': 2}
  • id: 2140119
    {'lmfdb_iso': '42978.r', 'p': 37, 'prec': 20, 'unit': 405373620426370777834102215272, 'val': 2}
  • id: 2140107
    {'lmfdb_iso': '42978.r', 'p': 41, 'prec': 20, 'unit': 4139262589879457255162886037460, 'val': 2}
  • id: 2140108
    {'lmfdb_iso': '42978.r', 'p': 43, 'prec': 20, 'unit': 5836586951332492434220948911659, 'val': 2}
  • id: 2140117
    {'lmfdb_iso': '42978.r', 'p': 47, 'prec': 20, 'unit': 15426533250616113862379133888631, 'val': 2}
  • id: 2140112
    {'lmfdb_iso': '42978.r', 'p': 53, 'prec': 20, 'unit': 176638290936641784665390376440388, 'val': 2}
  • id: 2140113
    {'lmfdb_iso': '42978.r', 'p': 59, 'prec': 20, 'unit': 629329031950545456434581841856458, 'val': 2}
  • id: 2140118
    {'lmfdb_iso': '42978.r', 'p': 61, 'prec': 20, 'unit': 5804266427652710196360289345165250, 'val': 2}
  • id: 2140102
    {'lmfdb_iso': '42978.r', 'p': 67, 'prec': 20, 'unit': 6620911481528892963408115954270958, 'val': 2}
  • id: 2140116
    {'lmfdb_iso': '42978.r', 'p': 71, 'prec': 20, 'unit': 19885301451493762414208455716303790, 'val': 2}
  • id: 2140114
    {'lmfdb_iso': '42978.r', 'p': 73, 'prec': 20, 'unit': 34002276043642478012537881677427045, 'val': 2}
  • id: 2140109
    {'lmfdb_iso': '42978.r', 'p': 79, 'prec': 20, 'unit': 545387653943077379867951255225850688, 'val': 2}
  • id: 2140111
    {'lmfdb_iso': '42978.r', 'p': 83, 'prec': 20, 'unit': 1700088117075769706672623122476324578, 'val': 2}
  • id: 2140101
    {'lmfdb_iso': '42978.r', 'p': 97, 'prec': 20, 'unit': 45297264218500310254089467351369782102, 'val': 2}
• 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: 285889
    {'Ciso': '42978v', 'Clabel': '42978v1', 'Cnumber': 1, 'abc_quality': 0.9943357777609759, 'absD': 1784804944651399008, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 45240, 'ainvs': [1, 0, 0, -803575, 284546441], 'analytic_rank': 2, 'bad_primes': [2, 3, 13, 19, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 42978, 'degree': 1800000, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2789507754854909901207033901', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 5], 'jinv': [-57385609248046791394801, 1784804944651399008], 'lmfdb_iso': '42978.r', 'lmfdb_label': '42978.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -803575, 284546441], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '9048.2.0.?', '45240.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 5, 'num_int_pts': 34, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.5186376422212554868047556781', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1131], [3, 4, 14326], [5, 2, 551], [13, 14, 3306], [19, 20, 2262], [29, 30, 1482]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2789507754854909901207033901', 'prec': 100}, 'szpiro_ratio': 4.916971211516713, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
  • id: 285890
    {'Ciso': '42978v', 'Clabel': '42978v2', 'Cnumber': 2, 'abc_quality': 1.0074887199845604, 'absD': 88280159906925363790998, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 45240, 'ainvs': [1, 0, 0, 3910355, -13981592329], 'analytic_rank': 2, 'bad_primes': [2, 3, 13, 19, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 42978, 'degree': 9000000, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0836697317025411774210830567', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 17, 'isogeny_degrees': [1, 5], 'jinv': [6612600178387895114470319, 88280159906925363790998], 'lmfdb_iso': '42978.r', 'lmfdb_label': '42978.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 3910355, -13981592329], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '9048.2.0.?', '45240.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '37.965941055531387170118891952', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1131], [3, 4, 14326], [5, 2, 78], [13, 14, 3306], [19, 20, 2262], [29, 30, 1482]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0836697317025411774210830567', 'prec': 100}, 'szpiro_ratio': 5.647047417800233, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}