Elliptic curve isogeny class data - 112710.bl

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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, 0, 1, -1, 0, 1, 1, 0, -1, 0, 1], 'aplist': [-1, 1, 1, 0, 0, -1, 0, 0, 4, 10, 0, 6, -2, -4, 0, -6, 0, -6, 4, -16, 2, 0, 4, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 112710, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '112710.bl', 'trace_hash': 105285273798825908}
• ec_padic •

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

  
  
  • id: 5882551
    {'lmfdb_iso': '112710.bl', 'p': 23, 'prec': 20, 'unit': 22429914151735045327155639, 'val': 1}
  • id: 5882547
    {'lmfdb_iso': '112710.bl', 'p': 29, 'prec': 20, 'unit': 4160224522975155134882238638, 'val': 1}
  • id: 5882543
    {'lmfdb_iso': '112710.bl', 'p': 37, 'prec': 20, 'unit': 446317977864253969401525857706, 'val': 1}
  • id: 5882545
    {'lmfdb_iso': '112710.bl', 'p': 41, 'prec': 20, 'unit': 3158554910495938506042750293843, 'val': 1}
  • id: 5882546
    {'lmfdb_iso': '112710.bl', 'p': 43, 'prec': 20, 'unit': 10813058760378248734738363899787, 'val': 1}
  • id: 5882549
    {'lmfdb_iso': '112710.bl', 'p': 53, 'prec': 20, 'unit': 451254770690065632979906547638565, 'val': 1}
  • id: 5882553
    {'lmfdb_iso': '112710.bl', 'p': 61, 'prec': 20, 'unit': 4287619319208876877031050458958711, 'val': 1}
  • id: 5882542
    {'lmfdb_iso': '112710.bl', 'p': 67, 'prec': 20, 'unit': 20113071369906571986083911562803023, 'val': 1}
  • id: 5882544
    {'lmfdb_iso': '112710.bl', 'p': 71, 'prec': 20, 'unit': 131835325330977467775680257788499514, 'val': 1}
  • id: 5882550
    {'lmfdb_iso': '112710.bl', 'p': 73, 'prec': 20, 'unit': 63945006386925799145325548594583192, 'val': 1}
  • id: 5882548
    {'lmfdb_iso': '112710.bl', 'p': 83, 'prec': 20, 'unit': 2877510682032200371483163812601362166, 'val': 1}
  • id: 5882552
    {'lmfdb_iso': '112710.bl', 'p': 89, 'prec': 20, 'unit': 881220090597542836645552299408101316, 'val': 1}
  • id: 5882541
    {'lmfdb_iso': '112710.bl', 'p': 97, 'prec': 20, 'unit': 53837361850942108622621188317170378831, '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: 737956
    {'Ciso': '112710bi', 'Clabel': '112710bi4', 'Cnumber': 4, 'abc_quality': 0.9697774643830833, 'absD': 62045379738810, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8840, 'ainvs': [1, 0, 1, -139738, -20113702], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6436392148768630941046325438', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4], 'jinv': [12501706118329, 2570490], 'lmfdb_iso': '112710.bl', 'lmfdb_label': '112710.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483, -4293], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.v.1', '104.12.0.?', '136.12.0.?', '340.12.0.?', '520.24.0.?', '680.24.0.?', '1768.24.0.?', '8840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6405182370964128585945056190', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1445], [3, 4, 37570], [5, 6, 22542], [13, 14, 8670], [17, 146, 390]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22703254284875505397986523486', 'prec': 103}, 'szpiro_ratio': 4.053803451119138, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 737954
    {'Ciso': '112710bi', 'Clabel': '112710bi2', 'Cnumber': 2, 'abc_quality': 0.9227266645673144, 'absD': 33041918204100, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8840, 'ainvs': [1, 0, 1, -9688, -242062], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 294912, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2970656245968904393960164831', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [4165509529, 1368900], 'lmfdb_iso': '112710.bl', 'lmfdb_label': '112710.bl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -33, -63], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '40.12.0.a.1', '104.12.0.?', '136.12.0.?', '260.12.0.?', '340.12.0.?', '520.24.0.?', '680.24.0.?', '884.12.0.?', '1768.24.0.?', '4420.24.0.?', '8840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8202591185482064292972528095', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 37570], [5, 6, 22542], [13, 14, 8670], [17, 146, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11954104743121760072875082584', 'prec': 107}, 'szpiro_ratio': 3.3654964441188366, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 737953
    {'Ciso': '112710bi', 'Clabel': '112710bi1', 'Cnumber': 1, 'abc_quality': 0.8780552029900824, 'absD': 225927645840, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8840, 'ainvs': [1, 0, 1, -3908, 90866], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 147456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95049203431691778468740042236', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4], 'jinv': [273359449, 9360], 'lmfdb_iso': '112710.bl', 'lmfdb_label': '112710.bl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -13, 13], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '104.12.0.?', '130.6.0.?', '136.12.0.?', '260.12.0.?', '340.12.0.?', '520.24.0.?', '680.24.0.?', '884.12.0.?', '1768.24.0.?', '4420.24.0.?', '8840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6405182370964128585945056190', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 18785], [3, 4, 37570], [5, 6, 22542], [13, 14, 8670], [17, 146, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46611463771119025543736688658', 'prec': 107}, 'szpiro_ratio': 3.131343072304527, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 737955
    {'Ciso': '112710bi', 'Clabel': '112710bi3', 'Cnumber': 3, 'abc_quality': 1.035787691267508, 'absD': 2573457090896250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8840, 'ainvs': [1, 0, 1, 27882, -1654694], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6436392148768630941046325438', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4], 'jinv': [99317171591, 106616250], 'lmfdb_iso': '112710.bl', 'lmfdb_label': '112710.bl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 97, -297], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '104.12.0.?', '136.12.0.?', '520.24.0.?', '680.24.0.?', '884.12.0.?', '1768.24.0.?', '8840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.91012955927410321464862640474', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3757], [3, 4, 37570], [5, 6, 22542], [13, 14, 8670], [17, 146, 390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22703254284875505397986523486', 'prec': 103}, 'szpiro_ratio': 3.6381343000759294, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}