Elliptic curve isogeny class data - 1216.e

Formats: - HTML - YAML - JSON - 2026-09-10T03:23:48.931640

• 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, -1, 0, -2, 0, 6, 0, -5, 0, 0, 0, 3, 0, -1, 0], 'aplist': [0, -1, 0, -1, 6, -5, 3, -1, 3, -9, -4, -2, 0, -8, 0, 3, -9, 10, -5, -6, -7, -10, 6, -12, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 1216, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '1216.e', 'trace_hash': 1980463916705955596}
• ec_padic •

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

  
  
  • id: 30084
    {'lmfdb_iso': '1216.e', 'p': 7, 'prec': 20, 'unit': 3717827384262008, 'val': 1}
  • id: 30082
    {'lmfdb_iso': '1216.e', 'p': 11, 'prec': 20, 'unit': 57042811036660784470, 'val': 1}
  • id: 30088
    {'lmfdb_iso': '1216.e', 'p': 13, 'prec': 20, 'unit': 72748753115194960616, 'val': 1}
  • id: 30090
    {'lmfdb_iso': '1216.e', 'p': 17, 'prec': 20, 'unit': 148392833013274037267568, 'val': 1}
  • id: 30093
    {'lmfdb_iso': '1216.e', 'p': 23, 'prec': 20, 'unit': 2643859329870533574020652, 'val': 1}
  • id: 30087
    {'lmfdb_iso': '1216.e', 'p': 29, 'prec': 20, 'unit': 4853543522354918509593811516, 'val': 1}
  • id: 30098
    {'lmfdb_iso': '1216.e', 'p': 31, 'prec': 20, 'unit': 16517488256999064855580007950, 'val': 1}
  • id: 30083
    {'lmfdb_iso': '1216.e', 'p': 37, 'prec': 20, 'unit': 179886220034638513012458748703, 'val': 1}
  • id: 30086
    {'lmfdb_iso': '1216.e', 'p': 43, 'prec': 20, 'unit': 7034026413345337475027754470040, 'val': 1}
  • id: 30092
    {'lmfdb_iso': '1216.e', 'p': 53, 'prec': 20, 'unit': 380168781459078972119009896287171, 'val': 1}
  • id: 30096
    {'lmfdb_iso': '1216.e', 'p': 59, 'prec': 20, 'unit': 19872227449963861025306766794578, 'val': 2}
  • id: 30097
    {'lmfdb_iso': '1216.e', 'p': 61, 'prec': 20, 'unit': 5106599790989163565572680212587162, 'val': 1}
  • id: 30081
    {'lmfdb_iso': '1216.e', 'p': 67, 'prec': 20, 'unit': 29848336494555615921153145960140692, 'val': 1}
  • id: 30095
    {'lmfdb_iso': '1216.e', 'p': 71, 'prec': 20, 'unit': 48183347052253253126584118096251861, 'val': 1}
  • id: 30085
    {'lmfdb_iso': '1216.e', 'p': 73, 'prec': 20, 'unit': 243562976706954060226772383072327553, 'val': 1}
  • id: 30089
    {'lmfdb_iso': '1216.e', 'p': 79, 'prec': 20, 'unit': 302127966810831753830170697725450892, 'val': 1}
  • id: 30091
    {'lmfdb_iso': '1216.e', 'p': 83, 'prec': 20, 'unit': 2609988265117277013251343142169177519, 'val': 1}
  • id: 30094
    {'lmfdb_iso': '1216.e', 'p': 89, 'prec': 20, 'unit': 10216075279359089603772303510120194958, 'val': 1}
  • id: 30080
    {'lmfdb_iso': '1216.e', 'p': 97, 'prec': 20, 'unit': 6894112862547809647184983038201488709, '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: 6434
    {'Ciso': '1216b', 'Clabel': '1216b3', 'Cnumber': 3, 'abc_quality': 1.054621266416818, 'absD': 668503069687808, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [0, -1, 0, -5473, -1251871], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1216, 'degree': 3456, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5248903817971615450778101023', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3, 9], 'jinv': [-69173457625, 2550136832], 'lmfdb_iso': '1216.e', 'lmfdb_label': '1216.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86, -2456], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '24.8.0-3.a.1.1', '27.36.0.a.1', '72.24.0.?', '114.8.0.?', '152.2.0.?', '171.36.0.?', '216.72.0.?', '342.72.0.?', '456.16.0.?', '513.324.16.?', '1026.648.16.?', '1368.144.3.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5043282847408540896739160339', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 19], [19, 20, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192011', 'prec': 97}, 'szpiro_ratio': 5.857309765642934, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 6432
    {'Ciso': '1216b', 'Clabel': '1216b1', 'Cnumber': 1, 'abc_quality': 0.9328072208159958, 'absD': 39845888, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [0, -1, 0, -993, 12385], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1216, 'degree': 384, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42627809312905185368256486534', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3, 9], 'jinv': [-413493625, 152], 'lmfdb_iso': '1216.e', 'lmfdb_label': '1216.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16, 22], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '24.8.0-3.a.1.2', '27.36.0.a.1', '72.24.0.?', '114.8.0.?', '152.2.0.?', '171.36.0.?', '216.72.0.?', '342.72.0.?', '456.16.0.?', '513.324.16.?', '1026.648.16.?', '1368.144.3.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27825869830453934329710178154', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 19], [19, 20, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61344267771086611044328331685', 'prec': 97}, 'szpiro_ratio': 4.549622927246401, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 6433
    {'Ciso': '1216b', 'Clabel': '1216b2', 'Cnumber': 2, 'abc_quality': 1.01874591611381, 'absD': 920599396352, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [0, -1, 0, 607, 45601], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1216, 'degree': 1152, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97558423746310669938018748380', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [94196375, 3511808], 'lmfdb_iso': '1216.e', 'lmfdb_label': '1216.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 9, 90], 'min_quad_twist_disc': 8, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '24.24.0-3.a.1.1', '72.72.0.?', '114.24.0.?', '152.2.0.?', '171.108.4.?', '342.216.4.?', '456.48.1.?', '513.324.16.?', '1026.648.16.?', '1368.432.13.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83477609491361802989130534462', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 19], [3, 2, 64], [19, 20, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.064136533376811264745660698387', 'prec': 97}, 'szpiro_ratio': 4.925493493116128, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}