Elliptic curve isogeny class data - 22491.v

Formats: - HTML - YAML - JSON - 2025-10-23T17:35:34.685605

• 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, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 1, 0, -2, 0], 'aplist': [0, 0, 0, 0, 0, 4, 1, -2, 9, -9, -5, 2, 0, -1, 9, 0, -9, 1, 5, -9, 7, -10, 0, 9, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 22491, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '22491.v', 'trace_hash': 918460048911676601}
• ec_padic •

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

  
  
  • id: 1059274
    {'lmfdb_iso': '22491.v', 'p': 13, 'prec': 20, 'unit': 543929097931908014409, 'val': 1}
  • id: 1059277
    {'lmfdb_iso': '22491.v', 'p': 19, 'prec': 20, 'unit': 309560693884679524450854, 'val': 1}
  • id: 1059278
    {'lmfdb_iso': '22491.v', 'p': 23, 'prec': 20, 'unit': 47006707583800653589576454, 'val': 1}
  • id: 1059273
    {'lmfdb_iso': '22491.v', 'p': 29, 'prec': 20, 'unit': 3603758550564828496874251020, 'val': 1}
  • id: 1059282
    {'lmfdb_iso': '22491.v', 'p': 31, 'prec': 20, 'unit': 7112933339251858287128474932, 'val': 1}
  • id: 1059269
    {'lmfdb_iso': '22491.v', 'p': 37, 'prec': 20, 'unit': 409759954593882552319944135343, 'val': 1}
  • id: 1059272
    {'lmfdb_iso': '22491.v', 'p': 43, 'prec': 20, 'unit': 9131758021687041699952310750559, 'val': 1}
  • id: 1059280
    {'lmfdb_iso': '22491.v', 'p': 47, 'prec': 20, 'unit': 15125246763297933174134714746056, 'val': 1}
  • id: 1059276
    {'lmfdb_iso': '22491.v', 'p': 59, 'prec': 20, 'unit': 4188860461660359303705444980166441, 'val': 1}
  • id: 1059281
    {'lmfdb_iso': '22491.v', 'p': 61, 'prec': 20, 'unit': 236713609361585852200037673231768551, 'val': -1}
  • id: 1059268
    {'lmfdb_iso': '22491.v', 'p': 67, 'prec': 20, 'unit': 12009589046777373184785991199451054, 'val': 1}
  • id: 1059270
    {'lmfdb_iso': '22491.v', 'p': 71, 'prec': 20, 'unit': 61261490566855766268040609098249206, 'val': 1}
  • id: 1059271
    {'lmfdb_iso': '22491.v', 'p': 73, 'prec': 20, 'unit': 159053302029806534517941633231214079, 'val': 1}
  • id: 1059275
    {'lmfdb_iso': '22491.v', 'p': 79, 'prec': 20, 'unit': 1015107569098011236874678998548229024, 'val': 1}
  • id: 1059279
    {'lmfdb_iso': '22491.v', 'p': 89, 'prec': 20, 'unit': 2602822184455017904548004640917658537, 'val': 1}
  • id: 1059267
    {'lmfdb_iso': '22491.v', 'p': 97, 'prec': 20, 'unit': 2271063848757584959832620324034217876530, '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: 149346
    {'Ciso': '22491j', 'Clabel': '22491j3', 'Cnumber': 3, 'abc_quality': 1.1232788169201537, 'absD': 847727856611811315960813, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2142, 'ainvs': [0, 0, 1, -54071010, 146484869627], 'analytic_rank': 1, 'bad_primes': [3, 7, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 22491, 'degree': 2146176, 'elladic_images': ['9.36.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3511981746753591159656194084', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [838870874148864000, 40675641638471], 'lmfdb_iso': '22491.v', 'lmfdb_label': '22491.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -1103490, -427069591], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.e.1', '21.8.0-3.a.1.2', '63.72.0-9.e.1.2', '102.8.0.?', '306.72.0.?', '714.16.0.?', '2142.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3753863785672446433608580622', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 49], [7, 32, 459], [17, 18, 1323]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3711818355352685796339682362', 'prec': 100}, 'szpiro_ratio': 6.4895588862979725, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 149345
    {'Ciso': '22491j', 'Clabel': '22491j2', 'Cnumber': 2, 'abc_quality': 1.1009571968779495, 'absD': 459101441972622242997, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2142, 'ainvs': [0, 0, 1, -8692110, -9809591542], 'analytic_rank': 1, 'bad_primes': [3, 7, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 22491, 'degree': 715392, 'elladic_images': ['9.36.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8018920303413042702679967899', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [31363160518656000, 198257271191], 'lmfdb_iso': '22491.v', 'lmfdb_label': '22491.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -177390, 28599392], 'min_quad_twist_disc': -7, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.c.1', '21.24.0-3.a.1.1', '63.72.0-9.c.1.1', '102.24.0.?', '306.72.0.?', '714.48.1.?', '2142.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1261591357017339300825741866', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 2, 7], [7, 32, 459], [17, 18, 1323]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0049777393125653491688864905', 'prec': 100}, 'szpiro_ratio': 5.942336228269656, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 149344
    {'Ciso': '22491j', 'Clabel': '22491j1', 'Cnumber': 1, 'abc_quality': 1.2188506759739957, 'absD': 18522305613, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2142, 'ainvs': [0, 0, 1, -8678880, -9841099865], 'analytic_rank': 1, 'bad_primes': [3, 7, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 22491, 'degree': 238464, 'elladic_images': ['9.36.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2525858860072494245703741714', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [22759502184972288000, 5831], 'lmfdb_iso': '22491.v', 'lmfdb_label': '22491.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -177120, 28691253], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.e.1', '21.8.0-3.a.1.1', '63.72.0-9.e.1.1', '102.8.0.?', '306.72.0.?', '714.16.0.?', '2142.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.378477407105201790247722560', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 2, 833], [7, 32, 459], [17, 18, 1323]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0049777393125653491688864904', 'prec': 100}, 'szpiro_ratio': 5.941880211138425, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}