Elliptic curve isogeny class data - 1197.b

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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, 0, -1, 0, 0, 1, 3, 0, 0, -2, 0, -6, -1, 0, -1, 8, 0, 1, 0], 'aplist': [-1, 0, 0, 1, -2, -6, 8, 1, -6, 6, 0, -2, 2, -4, -2, 6, -4, -14, -4, -8, -14, -12, 6, -14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 1197, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1197.b', 'trace_hash': 1133069228609301812}
• ec_padic •

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

  
  
  • id: 29519
    {'lmfdb_iso': '1197.b', 'p': 11, 'prec': 20, 'unit': 4621244851516934694, 'val': 1}
  • id: 29525
    {'lmfdb_iso': '1197.b', 'p': 13, 'prec': 20, 'unit': 463562515303307102536, 'val': 1}
  • id: 29527
    {'lmfdb_iso': '1197.b', 'p': 17, 'prec': 20, 'unit': 231194264467004960673025, 'val': 1}
  • id: 29532
    {'lmfdb_iso': '1197.b', 'p': 23, 'prec': 20, 'unit': 39928410721478037276602212, 'val': 1}
  • id: 29524
    {'lmfdb_iso': '1197.b', 'p': 29, 'prec': 20, 'unit': 2687585510934375711720290244, 'val': 1}
  • id: 29520
    {'lmfdb_iso': '1197.b', 'p': 37, 'prec': 20, 'unit': 231587030845835858094387521498, 'val': 1}
  • id: 29522
    {'lmfdb_iso': '1197.b', 'p': 41, 'prec': 20, 'unit': 284128014041174695773482131780, 'val': 1}
  • id: 29523
    {'lmfdb_iso': '1197.b', 'p': 43, 'prec': 20, 'unit': 9516657202580239234063544581514, 'val': 1}
  • id: 29534
    {'lmfdb_iso': '1197.b', 'p': 47, 'prec': 20, 'unit': 14799312661510503449404324384857, 'val': 1}
  • id: 29529
    {'lmfdb_iso': '1197.b', 'p': 53, 'prec': 20, 'unit': 332727962530600459627047396128003, 'val': 1}
  • id: 29530
    {'lmfdb_iso': '1197.b', 'p': 59, 'prec': 20, 'unit': 1572640690350299962444255413950472, 'val': 1}
  • id: 29535
    {'lmfdb_iso': '1197.b', 'p': 61, 'prec': 20, 'unit': 732695144867032284750706357691798, 'val': 1}
  • id: 29528
    {'lmfdb_iso': '1197.b', 'p': 67, 'prec': 20, 'unit': 18281839756420500800989950425002226, 'val': 1}
  • id: 29521
    {'lmfdb_iso': '1197.b', 'p': 71, 'prec': 20, 'unit': 120393047171295328090893158910854317, 'val': 1}
  • id: 29531
    {'lmfdb_iso': '1197.b', 'p': 73, 'prec': 20, 'unit': 217501164236611771359454529920785973, 'val': 1}
  • id: 29526
    {'lmfdb_iso': '1197.b', 'p': 79, 'prec': 20, 'unit': 305598447220328847299336980207476032, 'val': 1}
  • id: 29518
    {'lmfdb_iso': '1197.b', 'p': 83, 'prec': 20, 'unit': 943415808693043375172382686386099303, 'val': 1}
  • id: 29533
    {'lmfdb_iso': '1197.b', 'p': 89, 'prec': 20, 'unit': 4183855301020127489540996490629241917, 'val': 1}
  • id: 29517
    {'lmfdb_iso': '1197.b', 'p': 97, 'prec': 20, 'unit': 2639189693251761732966736596320317483, '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: 6309
    {'Ciso': '1197b', 'Clabel': '1197b1', 'Cnumber': 1, 'abc_quality': 0.8630861270144805, 'absD': 18324873, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 228, 'ainvs': [1, -1, 1, -515, 4618], 'analytic_rank': 1, 'bad_primes': [3, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1197, 'degree': 384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.30392346435433379684514202571', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [766060875, 931], 'lmfdb_iso': '1197.b', 'lmfdb_label': '1197.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -515, 4618], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '76.6.0.?', '114.6.0.?', '228.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80066927568397355067771285391', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 57], [3, 2, 133], [7, 8, 171], [19, 20, 63]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52003575214674847170129190198', 'prec': 107}, 'szpiro_ratio': 4.281335765163754, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6310
    {'Ciso': '1197b', 'Clabel': '1197b2', 'Cnumber': 2, 'abc_quality': 1.0414744563381044, 'absD': 17060456763, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 228, 'ainvs': [1, -1, 1, -380, 6994], 'analytic_rank': 1, 'bad_primes': [3, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1197, 'degree': 768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.65049705463430645155375808644', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [-307546875, 866761], 'lmfdb_iso': '1197.b', 'lmfdb_label': '1197.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -380, 6994], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '76.6.0.?', '228.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.40033463784198677533885642695', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 2, 133], [7, 8, 171], [19, 20, 63]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17346216186677581699267584125', 'prec': 107}, 'szpiro_ratio': 4.402283487771492, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}