Elliptic curve isogeny class data - 235200.ui

Formats: - HTML - YAML - JSON - 2024-05-22T03:00:54.970780

• 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, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 1, 0, 0, 0, -6, -2, -4, 4, -6, 0, 6, 2, 4, -8, -2, 12, 6, 4, 12, 10, 8, -12, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 235200, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '235200.ui', 'trace_hash': 304241147297165012}
• lmfdb_iso 235200.ui does not appear in ec_padic
• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1499163
    {'Ciso': '235200ui', 'Clabel': '235200ui3', 'Cnumber': 3, 'abc_quality': 1.0347394534249537, 'absD': 3602030781739120819200000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -992820033, 11689060608063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 141557760, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0604841323361419129165104791', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 528, 'isogeny_degrees': [1, 2, 4], 'jinv': [898353183174324196, 29899176238575], 'lmfdb_iso': '235200.ui', 'lmfdb_label': '235200.ui1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -202616, 34012320], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '28.12.0.h.1', '40.12.0-4.c.1.2', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3586138608448413271738116122', 'prec': 100}, 'szpiro_ratio': 5.963829309508577, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1499162
    {'Ciso': '235200ui', 'Clabel': '235200ui2', 'Cnumber': 2, 'abc_quality': 1.023995205577993, 'absD': 130770266869095840000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -152470033, -471644241937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 70778880, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7139105420561692582078944184', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 528, 'isogeny_degrees': [1, 2], 'jinv': [13015144447800784, 4341909875625], 'lmfdb_iso': '235200.ui', 'lmfdb_label': '235200.ui2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -31116, -1385280], 'min_quad_twist_disc': 280, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0.a.1', '40.12.0-2.a.1.1', '84.24.0.?', '120.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1275648006581928907014009050', 'prec': 100}, 'szpiro_ratio': 5.509377741777775, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1499161
    {'Ciso': '235200ui', 'Clabel': '235200ui1', 'Cnumber': 1, 'abc_quality': 1.1312171453358946, 'absD': 61287040631250000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -137157533, -618200179437], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 35389440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3673369517761966034992783576', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 528, 'isogeny_degrees': [1, 2, 4], 'jinv': [151591373397612544, 32558203125], 'lmfdb_iso': '235200.ui', 'lmfdb_label': '235200.ui3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -27991, -1811530], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '40.12.0-4.c.1.1', '42.6.0.a.1', '56.12.0.ba.1', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0120402705648686724651955514', 'prec': 100}, 'szpiro_ratio': 5.483705937501729, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1499164
    {'Ciso': '235200ui', 'Clabel': '235200ui4', 'Cnumber': 4, 'abc_quality': 1.0439708035394017, 'absD': 10130035309881321139200000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, 442879967, -3252524091937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 141557760, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0604841323361419129165104791', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 528, 'isogeny_degrees': [1, 2, 4], 'jinv': [79743193254623804, 84085819746075], 'lmfdb_iso': '235200.ui', 'lmfdb_label': '235200.ui4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 90384, -9452880], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '40.12.0-4.c.1.4', '56.12.0.ba.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3586138608448413271738116122', 'prec': 100}, 'szpiro_ratio': 5.768024457625146, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}