Elliptic curve isogeny class data - 9522.d

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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, 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_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}
• 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: 61506
    {'Ciso': '9522e', 'Clabel': '9522e4', 'Cnumber': 4, 'abc_quality': 1.0646600114779046, 'absD': 32570349126824286, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [1, -1, 0, -1176066, 491120302], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9522, 'degree': 135168, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1720675056758195411010000403', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [1666957239793, 301806], 'lmfdb_iso': '9522.d', 'lmfdb_label': '9522.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -247, 1391], '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.1.1', '24.24.0-8.p.1.3', '184.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, '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': '0.055014253377189850000001005934', 'prec': 107}, 'szpiro_ratio': 5.8448373371283076, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 61505
    {'Ciso': '9522e', 'Clabel': '9522e3', 'Cnumber': 3, 'abc_quality': 0.97631048127559, 'absD': 543598680145502178, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [1, -1, 0, -509526, -135293990], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9522, 'degree': 135168, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1720675056758195411010000403', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [135559106353, 5037138], 'lmfdb_iso': '9522.d', 'lmfdb_label': '9522.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -107, -457], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '24.24.0-8.k.1.3', '184.24.0.?', '276.12.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.693083391428924006499653577', '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': '0.055014253377189850000001005934', 'prec': 107}, 'szpiro_ratio': 5.570931778892674, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 61504
    {'Ciso': '9522e', 'Clabel': '9522e2', 'Cnumber': 2, 'abc_quality': 0.9444691501696788, 'absD': 18496741479431076, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [1, -1, 0, -81036, 6022012], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9522, 'degree': 67584, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8254939153958468863923839796', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 171396], 'lmfdb_iso': '9522.d', 'lmfdb_label': '9522.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17, 11], 'min_quad_twist_disc': 69, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '24.24.0-8.a.1.3', '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': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3465416957144620032498267884', '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': '-0.29155933690278280470861505477', 'prec': 107}, 'szpiro_ratio': 4.968864379229652, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 61503
    {'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]}