Elliptic curve isogeny class data - 27690.bg

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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, 1, 1, 1, 1, -2, 1, -1, 1, 1, 1, 4, 1, -8, 1], 'aplist': [1, 1, 1, 1, -2, -1, 4, -8, 3, -5, -10, -4, 0, -12, 6, -2, 4, 13, 12, 1, -10, -4, 0, -15, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 27690, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '27690.bg', 'trace_hash': 1007995997044588785}
• ec_padic •

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

  
  
  • id: 1327076
    {'lmfdb_iso': '27690.bg', 'p': 7, 'prec': 20, 'unit': 44174021298613708, 'val': 0}
  • id: 1327081
    {'lmfdb_iso': '27690.bg', 'p': 11, 'prec': 20, 'unit': 25477372827546998813, 'val': 1}
  • id: 1327082
    {'lmfdb_iso': '27690.bg', 'p': 17, 'prec': 20, 'unit': 6729674965003403520474, 'val': 1}
  • id: 1327083
    {'lmfdb_iso': '27690.bg', 'p': 19, 'prec': 20, 'unit': 1430880971743765581942797, 'val': 1}
  • id: 1327086
    {'lmfdb_iso': '27690.bg', 'p': 23, 'prec': 20, 'unit': 57408138486991382983238303, 'val': 1}
  • id: 1327079
    {'lmfdb_iso': '27690.bg', 'p': 29, 'prec': 20, 'unit': 4990086921196260338504373611, 'val': 1}
  • id: 1327090
    {'lmfdb_iso': '27690.bg', 'p': 31, 'prec': 20, 'unit': 12359709619549666072989016713, 'val': 1}
  • id: 1327075
    {'lmfdb_iso': '27690.bg', 'p': 37, 'prec': 20, 'unit': 148078623820677335224332107230, 'val': 1}
  • id: 1327078
    {'lmfdb_iso': '27690.bg', 'p': 43, 'prec': 20, 'unit': 7131961634068759526107531913109, 'val': 1}
  • id: 1327088
    {'lmfdb_iso': '27690.bg', 'p': 47, 'prec': 20, 'unit': 24253619572259256183360526030355, 'val': 1}
  • id: 1327084
    {'lmfdb_iso': '27690.bg', 'p': 53, 'prec': 20, 'unit': 173028205333710392056714081657087, 'val': 1}
  • id: 1327085
    {'lmfdb_iso': '27690.bg', 'p': 59, 'prec': 20, 'unit': 2531023645280372379570995330856849, 'val': 1}
  • id: 1327089
    {'lmfdb_iso': '27690.bg', 'p': 61, 'prec': 20, 'unit': 2768245616188448194110109920547267, 'val': 1}
  • id: 1327074
    {'lmfdb_iso': '27690.bg', 'p': 67, 'prec': 20, 'unit': 12549572482303746948194546558999107, 'val': 1}
  • id: 1327077
    {'lmfdb_iso': '27690.bg', 'p': 73, 'prec': 20, 'unit': 102582206502263129702608144314808682, 'val': 1}
  • id: 1327080
    {'lmfdb_iso': '27690.bg', 'p': 79, 'prec': 20, 'unit': 940974196341565246955318132054715780, 'val': 1}
  • id: 1327087
    {'lmfdb_iso': '27690.bg', 'p': 89, 'prec': 20, 'unit': 114755859992455462435323252413788233, 'val': 2}
  • id: 1327073
    {'lmfdb_iso': '27690.bg', 'p': 97, 'prec': 20, 'unit': 12083978189297555211511931656622042480, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 183666
    {'Ciso': '27690bc', 'Clabel': '27690bc2', 'Cnumber': 2, 'abc_quality': 1.0366235007006561, 'absD': 68484636225100842737640, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 775320, 'ainvs': [1, 0, 0, -8462840, -15758963160], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 71], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 27690, 'degree': 3687936, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0772210886679891993291478289', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 7], 'jinv': [-67030445471226692469644161, 68484636225100842737640], 'lmfdb_iso': '27690.bg', 'lmfdb_label': '27690.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8462840, -15758963160], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '110760.2.0.?', '775320.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.263533475735357376126728701', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 13845], [3, 4, 4615], [5, 6, 5538], [7, 2, 30], [13, 14, 2130], [71, 72, 390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0772210886679891993291478289', 'prec': 100}, 'szpiro_ratio': 5.913132420959779, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 183665
    {'Ciso': '27690bc', 'Clabel': '27690bc1', 'Cnumber': 1, 'abc_quality': 1.042053618232507, 'absD': 330727587840000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 775320, 'ainvs': [1, 0, 0, -319040, 74649600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 71], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 27690, 'degree': 526848, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1042660141403325467764714571', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 7], 'jinv': [-3591362198523471528961, 330727587840000000], 'lmfdb_iso': '27690.bg', 'lmfdb_label': '27690.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -319040, 74649600], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '110760.2.0.?', '775320.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 18, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7519333536764796251609612430', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 13845], [3, 4, 4615], [5, 6, 5538], [7, 2, 923], [13, 14, 2130], [71, 72, 390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1042660141403325467764714571', 'prec': 100}, 'szpiro_ratio': 4.8666861832437975, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}