Elliptic curve isogeny class data - 8800.n

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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, 0, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, 2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 0, 0, -1, 2, 2, 4, 0, -6, -4, 10, -6, 4, -8, -6, -12, 2, 8, 12, 2, 8, -12, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 8800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '8800.n', 'trace_hash': 486918077405840135}
• ec_padic •

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

  
  
  • id: 365302
    {'lmfdb_iso': '8800.n', 'p': 13, 'prec': 20, 'unit': 761570279320304359463, 'val': 1}
  • id: 365304
    {'lmfdb_iso': '8800.n', 'p': 17, 'prec': 20, 'unit': 9936091669715518209896, 'val': 2}
  • id: 365305
    {'lmfdb_iso': '8800.n', 'p': 19, 'prec': 20, 'unit': 1241710321573385868066086, 'val': 1}
  • id: 365301
    {'lmfdb_iso': '8800.n', 'p': 29, 'prec': 20, 'unit': 3387169999851833979109765663, 'val': 1}
  • id: 365312
    {'lmfdb_iso': '8800.n', 'p': 31, 'prec': 20, 'unit': 13276120393086912314192914240, 'val': 1}
  • id: 365297
    {'lmfdb_iso': '8800.n', 'p': 37, 'prec': 20, 'unit': 99077982729862498116484892825, 'val': 1}
  • id: 365299
    {'lmfdb_iso': '8800.n', 'p': 41, 'prec': 20, 'unit': 1409066062665830235862142650462, 'val': 1}
  • id: 365300
    {'lmfdb_iso': '8800.n', 'p': 43, 'prec': 20, 'unit': 5237034920963068934139642032004, 'val': 1}
  • id: 365310
    {'lmfdb_iso': '8800.n', 'p': 47, 'prec': 20, 'unit': 7010081209951562639061605239941, 'val': 1}
  • id: 365306
    {'lmfdb_iso': '8800.n', 'p': 53, 'prec': 20, 'unit': 504682993839117094111080896594302, 'val': 1}
  • id: 365307
    {'lmfdb_iso': '8800.n', 'p': 59, 'prec': 20, 'unit': 2178433256242376501830053774783430, 'val': 1}
  • id: 365311
    {'lmfdb_iso': '8800.n', 'p': 61, 'prec': 20, 'unit': 6163463214848373777869024593508330, 'val': 1}
  • id: 365296
    {'lmfdb_iso': '8800.n', 'p': 67, 'prec': 20, 'unit': 970832704212869510046334422852331, 'val': 1}
  • id: 365298
    {'lmfdb_iso': '8800.n', 'p': 71, 'prec': 20, 'unit': 35048189526794096357754658980939340, 'val': 1}
  • id: 365308
    {'lmfdb_iso': '8800.n', 'p': 73, 'prec': 20, 'unit': 123270118465259173099196154319164511, 'val': 1}
  • id: 365303
    {'lmfdb_iso': '8800.n', 'p': 79, 'prec': 20, 'unit': 737356681493938929308912547129583286, 'val': 1}
  • id: 365295
    {'lmfdb_iso': '8800.n', 'p': 83, 'prec': 20, 'unit': 550067200700721467284687796902464435, 'val': 1}
  • id: 365309
    {'lmfdb_iso': '8800.n', 'p': 89, 'prec': 20, 'unit': 10561377242538022914875619832625614956, 'val': 1}
  • id: 365294
    {'lmfdb_iso': '8800.n', 'p': 97, 'prec': 20, 'unit': 15480548426850036845149126992037074685, '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: 56694
    {'Ciso': '8800a', 'Clabel': '8800a2', 'Cnumber': 2, 'abc_quality': 0.9520297960498425, 'absD': 440000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -14675, -684250], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8800, 'degree': 6144, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93729466559425685855778213137', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [43688592648, 55], 'lmfdb_iso': '8800.n', 'lmfdb_label': '8800.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -587, -5474], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.y.1.6', '88.24.0.?', '220.12.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6238490535011935870340315257', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 275], [5, 18, 352], [11, 12, 800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38728467604275231080552162634', 'prec': 97}, 'szpiro_ratio': 4.447594146058865, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 56695
    {'Ciso': '8800a', 'Clabel': '8800a3', 'Cnumber': 3, 'abc_quality': 0.8645269265711606, 'absD': 440000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -2300, 28000], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8800, 'degree': 6144, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93729466559425685855778213137', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [21024576, 6875], 'lmfdb_iso': '8800.n', 'lmfdb_label': '8800.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -92, 224], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '20.12.0-4.c.1.2', '40.24.0-40.y.1.9', '44.12.0.h.1', '88.24.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4059622633752983967585078814', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 18, 352], [11, 12, 800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56057147118273863815982965670', 'prec': 97}, 'szpiro_ratio': 3.835460433632138, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 56693
    {'Ciso': '8800a', 'Clabel': '8800a1', 'Cnumber': 1, 'abc_quality': 0.9539300254639066, 'absD': 3025000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -925, -10500], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8800, 'degree': 3072, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59072107531428420384916607064', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [87528384, 3025], 'lmfdb_iso': '8800.n', 'lmfdb_label': '8800.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -37, -84], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0-2.a.1.1', '40.24.0-40.b.1.3', '44.12.0.a.1', '88.24.0.?', '220.24.0.?', '440.48.0.?'], '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': '4.8119245267505967935170157629', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 352], [11, 12, 800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56057147118273863815982965670', 'prec': 97}, 'szpiro_ratio': 3.534595045576378, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 56696
    {'Ciso': '8800a', 'Clabel': '8800a4', 'Cnumber': 4, 'abc_quality': 1.2881204818363037, 'absD': 585640000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, 325, -36750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8800, 'degree': 6144, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93729466559425685855778213137', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [474552, 73205], 'lmfdb_iso': '8800.n', 'lmfdb_label': '8800.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 13, -294], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '20.12.0-4.c.1.1', '40.24.0-40.s.1.4', '88.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6238490535011935870340315257', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 18, 352], [11, 12, 800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38728467604275231080552162634', 'prec': 97}, 'szpiro_ratio': 3.8036780533300365, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}