Elliptic curve isogeny class data - 196.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, 0, -1, 0, -3, 0, 0, 0, -2, 0, -3, 0, -2, 0, 3, 0, -3, 0, 1, 0], 'aplist': [0, -1, -3, 0, -3, -2, -3, 1, 3, -6, 7, -1, -6, -4, 9, 3, -9, 1, -7, 0, 1, -13, -12, -15, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 196, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '196.a', 'trace_hash': 1449284123912416083}
• ec_padic •

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

  
  
  • id: 1436
    {'lmfdb_iso': '196.a', 'p': 5, 'prec': 20, 'unit': 11128877070222, 'val': 1}
  • id: 1435
    {'lmfdb_iso': '196.a', 'p': 11, 'prec': 20, 'unit': 20573140323692048186, 'val': 1}
  • id: 1441
    {'lmfdb_iso': '196.a', 'p': 13, 'prec': 20, 'unit': 1443296258862530675420, 'val': 1}
  • id: 1443
    {'lmfdb_iso': '196.a', 'p': 17, 'prec': 20, 'unit': 139522332863068157134387, 'val': 1}
  • id: 1444
    {'lmfdb_iso': '196.a', 'p': 19, 'prec': 20, 'unit': 585728718938485493444694, 'val': -1}
  • id: 1448
    {'lmfdb_iso': '196.a', 'p': 23, 'prec': 20, 'unit': 20985592583290705233942882, 'val': 1}
  • id: 1440
    {'lmfdb_iso': '196.a', 'p': 29, 'prec': 20, 'unit': 34572148045670397987068197, 'val': 2}
  • id: 1437
    {'lmfdb_iso': '196.a', 'p': 31, 'prec': 20, 'unit': 5993273169330566144992953, 'val': 2}
  • id: 1453
    {'lmfdb_iso': '196.a', 'p': 37, 'prec': 20, 'unit': 524002326228991768412239813129, 'val': 1}
  • id: 1438
    {'lmfdb_iso': '196.a', 'p': 41, 'prec': 20, 'unit': 3568246082124471735371969573191, 'val': 1}
  • id: 1439
    {'lmfdb_iso': '196.a', 'p': 43, 'prec': 20, 'unit': 7543671664560636023506897320705, 'val': 1}
  • id: 1450
    {'lmfdb_iso': '196.a', 'p': 47, 'prec': 20, 'unit': 50940938092901109821204116843814, 'val': 1}
  • id: 1445
    {'lmfdb_iso': '196.a', 'p': 53, 'prec': 20, 'unit': 156279356743297465864128628644736, 'val': 1}
  • id: 1446
    {'lmfdb_iso': '196.a', 'p': 59, 'prec': 20, 'unit': 3484518069741267830401747668862857, 'val': 1}
  • id: 1451
    {'lmfdb_iso': '196.a', 'p': 61, 'prec': 20, 'unit': 253737088173799900355444424702945720, 'val': -1}
  • id: 1434
    {'lmfdb_iso': '196.a', 'p': 67, 'prec': 20, 'unit': 11842538483689690380403370304222882, 'val': 1}
  • id: 1447
    {'lmfdb_iso': '196.a', 'p': 73, 'prec': 20, 'unit': 18452075754862480082368352782641305030, 'val': 0}
  • id: 1442
    {'lmfdb_iso': '196.a', 'p': 79, 'prec': 20, 'unit': 522265302923699508580751553545777111, 'val': 1}
  • id: 1452
    {'lmfdb_iso': '196.a', 'p': 83, 'prec': 20, 'unit': 615127789508558101896037485208940290, 'val': 1}
  • id: 1449
    {'lmfdb_iso': '196.a', 'p': 89, 'prec': 20, 'unit': 2477494523880966271312834538948743441, 'val': 1}
  • id: 1433
    {'lmfdb_iso': '196.a', 'p': 97, 'prec': 20, 'unit': 9553114995508856265526210166397149635, '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: 715
    {'Ciso': '196a', 'Clabel': '196a2', 'Cnumber': 2, 'abc_quality': 0.9989714715999977, 'absD': 784, 'adelic_genus': 28, 'adelic_index': 864, 'adelic_level': 252, 'ainvs': [0, -1, 0, -142, 701], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 196, 'degree': 18, 'elladic_images': ['2.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20503477820738141011106300958', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [406749952, 1], 'lmfdb_iso': '196.a', 'lmfdb_label': '196.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -142, 701], 'min_quad_twist_disc': 1, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '9.12.0.b.1', '12.16.0.a.1', '14.6.0.a.1', '18.72.2.c.1', '21.8.0-3.a.1.2', '28.12.0-14.a.1.1', '36.144.6.i.2', '42.48.0-42.a.1.2', '63.72.0-63.h.1.3', '84.96.2.?', '126.432.10.?', '252.864.28.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25810635289973679058716498246', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 14, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76040219656991539743436584064', 'prec': 107}, 'szpiro_ratio': 5.018481013875294, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 714
    {'Ciso': '196a', 'Clabel': '196a1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 784, 'adelic_genus': 28, 'adelic_index': 864, 'adelic_level': 252, 'ainvs': [0, -1, 0, -2, 1], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 196, 'degree': 6, 'elladic_images': ['2.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.75434092254143625580868562804', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [1792, 1], 'lmfdb_iso': '196.a', 'lmfdb_label': '196.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '9.12.0.b.1', '12.16.0.a.2', '14.6.0.a.1', '18.72.2.c.2', '21.8.0-3.a.1.1', '28.12.0-14.a.1.1', '36.144.6.i.1', '42.48.0-42.a.1.1', '63.72.0-63.h.2.1', '84.96.2.?', '126.432.10.?', '252.864.28.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.086035450966578930195721660820', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 14, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3097083409039702431319884591', 'prec': 103}, 'szpiro_ratio': 2.681922907667371, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}