Elliptic curve data - 9522.d4

Formats: - HTML - YAML - JSON - 2026-04-15T04:10:08.808183

• 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[]

  
  {'Ciso': '9522e', 'Clabel': '9522e1', 'Cnumber': 1, 'abc_quality': 0.898775602359137, 'absD': 357424956124272, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [1, -1, 0, 14184, 632560], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9522, 'degree': 33792, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4789203251158742316837679188', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [2924207, 3312], 'lmfdb_iso': '9522.d', 'lmfdb_label': '9522.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3, 3], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '12.12.0-4.c.1.2', '24.24.0-8.p.1.1', '46.6.0.a.1', '92.12.0.?', '184.24.0.?', '276.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6732708478572310016249133942', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4761], [3, 8, 1058], [23, 288, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63813292718275545941723111557', 'prec': 107}, 'szpiro_ratio': 4.398164910427257, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 2, 0, 0, -1, 0, -2, 0, 0, -2, 0, 0, 1, 2, 0, 8, 2], 'aplist': [-1, 0, 2, 0, 0, -2, 2, 8, 0, 2, -8, -2, -10, -8, -8, 2, 4, -2, -8, 0, -6, -8, -16, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 9522, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '9522.d', 'trace_hash': 788314698445149157}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.051930933236919307212841467498', 'prec': 107}, 'conductor': 9522, 'gens': [[8, 860, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6732708478572310016249133942', 'prec': 100}], 'lmfdb_label': '9522.d4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35820347543457893381033300535', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8302996339216145740312600385652415634', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-40, 20, 1]], 'xcoord_integral_points': [-40, 8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9522.d4'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 495385
    {'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '9522.d4', 'torsion': [4]}
  • id: 495386
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '9522.d4', 'torsion': [4]}
  • id: 495384
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '9522.d4', 'torsion': [2, 2]}
  • id: 495387
    {'degree': 4, 'field': [36, -6, -5, -1, 1], 'lmfdb_label': '9522.d4', 'torsion': [2, 4]}
  • id: 495391
    {'degree': 8, 'field': [-25156, -6788, 1336, 1720, -82, 8, -13, -2, 1], 'lmfdb_label': '9522.d4', 'torsion': [6]}
  • id: 495389
    {'degree': 8, 'field': [1, 0, 282, 0, -85, 0, -6, 0, 1], 'lmfdb_label': '9522.d4', 'torsion': [8]}
  • id: 495388
    {'degree': 8, 'field': [36, 12, 70, 114, 77, 2, 4, -4, 1], 'lmfdb_label': '9522.d4', 'torsion': [2, 4]}
  • id: 495390
    {'degree': 8, 'field': [100, 120, 274, -196, 155, -2, -9, -2, 1], 'lmfdb_label': '9522.d4', 'torsion': [8]}
  • id: 495393
    {'degree': 16, 'field': [16, -96, 40, 912, 1376, 24, -702, 48, 227, -306, 105, -6, -4, -6, 13, -6, 1], 'lmfdb_label': '9522.d4', 'torsion': [2, 8]}
  • id: 495396
    {'degree': 16, 'field': [576, 9792, -126624, -56064, 194848, 45144, -103980, 1320, 9360, -2076, 1346, 1116, -129, 69, 12, -3, 1], 'lmfdb_label': '9522.d4', 'torsion': [12]}
  • id: 495392
    {'degree': 16, 'field': [1296, -432, 72, -1320, 328, -396, 786, -254, 233, -278, 200, -86, 27, -12, 8, -4, 1], 'lmfdb_label': '9522.d4', 'torsion': [4, 4]}
  • id: 495395
    {'degree': 16, 'field': [3144, -16122, 32481, -41796, 46344, -38628, 27563, -15080, 7101, -2580, 923, -300, 141, -70, 30, -8, 1], 'lmfdb_label': '9522.d4', 'torsion': [2, 6]}
  • id: 495394
    {'degree': 16, 'field': [77284, -98968, 10810, -13900, 35195, 18086, -25173, -9202, 12056, 1294, -1617, -998, 428, 58, -23, -2, 1], 'lmfdb_label': '9522.d4', 'torsion': [2, 8]}
  • id: 495397
    {'degree': 16, 'field': [204304, 99440, 183096, -207488, 91328, -7542, -7655, -8434, 5751, 212, -557, 450, -61, -14, 9, -4, 1], 'lmfdb_label': '9522.d4', 'torsion': [12]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 200521
    {'conductor': 9522, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9522.d4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 200522
    {'conductor': 9522, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '9522.d4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 200523
    {'conductor': 9522, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '9522.d4', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1726943
    {'adelic_gens': [[1, 0, 8, 1], [512, 549, 435, 182], [1, 8, 0, 1], [1, 4, 4, 17], [307, 486, 258, 163], [7, 6, 546, 547], [73, 72, 174, 79], [367, 0, 0, 551], [545, 8, 544, 9]], 'adelic_image': '552.48.0.?', 'conductor': 9522, 'lmfdb_label': '9522.d4', 'prime': 0}
  • id: 46153
    {'conductor': 9522, 'elladic_image': '8.12.0.9', 'lmfdb_label': '9522.d4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 399322
    {'lmfdb_iso': '9522.d', 'p': 5, 'prec': 20, 'unit': 7109697296096, 'val': 1}
  • id: 399327
    {'lmfdb_iso': '9522.d', 'p': 13, 'prec': 20, 'unit': 1180825916942951302591, 'val': 1}
  • id: 399329
    {'lmfdb_iso': '9522.d', 'p': 17, 'prec': 20, 'unit': 5452020201814966586701, 'val': 2}
  • id: 399330
    {'lmfdb_iso': '9522.d', 'p': 19, 'prec': 20, 'unit': 1810096269591100624709090, 'val': 1}
  • id: 399326
    {'lmfdb_iso': '9522.d', 'p': 29, 'prec': 20, 'unit': 1408966634496268248309121679, 'val': 1}
  • id: 399323
    {'lmfdb_iso': '9522.d', 'p': 31, 'prec': 20, 'unit': 420673123581241446163025735, 'val': 2}
  • id: 399337
    {'lmfdb_iso': '9522.d', 'p': 37, 'prec': 20, 'unit': 65556614707024086211780385544, 'val': 1}
  • id: 399324
    {'lmfdb_iso': '9522.d', 'p': 41, 'prec': 20, 'unit': 3228288610047062985416820010132, 'val': 1}
  • id: 399325
    {'lmfdb_iso': '9522.d', 'p': 43, 'prec': 20, 'unit': 2223070847326076761224115778291, 'val': 1}
  • id: 399335
    {'lmfdb_iso': '9522.d', 'p': 47, 'prec': 20, 'unit': 45837956061688099115482250491986, 'val': 1}
  • id: 399331
    {'lmfdb_iso': '9522.d', 'p': 53, 'prec': 20, 'unit': 20037614477094090030015278901767, 'val': 1}
  • id: 399332
    {'lmfdb_iso': '9522.d', 'p': 59, 'prec': 20, 'unit': 108179117688091903777509196857957, 'val': 1}
  • id: 399336
    {'lmfdb_iso': '9522.d', 'p': 61, 'prec': 20, 'unit': 389714246117265650852504034535318, 'val': 1}
  • id: 399321
    {'lmfdb_iso': '9522.d', 'p': 67, 'prec': 20, 'unit': 41847988914049953668121464189838129, 'val': 1}
  • id: 399333
    {'lmfdb_iso': '9522.d', 'p': 73, 'prec': 20, 'unit': 122171374101474112293498509537454359, 'val': 1}
  • id: 399328
    {'lmfdb_iso': '9522.d', 'p': 79, 'prec': 20, 'unit': 567966916588216906027213267284198895, 'val': 1}
  • id: 399320
    {'lmfdb_iso': '9522.d', 'p': 83, 'prec': 20, 'unit': 1879796591258281223932140633596680925, 'val': 1}
  • id: 399334
    {'lmfdb_iso': '9522.d', 'p': 89, 'prec': 20, 'unit': 2548567101589814548441190899396134011, 'val': 1}
  • id: 399319
    {'lmfdb_iso': '9522.d', 'p': 97, 'prec': 20, 'unit': 26820538025769554469791422898811230965, 'val': 1}