Elliptic curve isogeny class data - 22800.s

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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, -1, 0, 0, 0, 0, 0, 1, 0, -4, 0, -2, 0, 0, 0, -6, 0, 1, 0], 'aplist': [0, -1, 0, 0, -4, -2, -6, 1, -4, -10, -4, -10, 6, 0, -12, -10, 0, -10, 4, 0, -10, -4, 12, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 22800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '22800.s', 'trace_hash': 1227719891544274396}
• ec_padic •

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

  
  
  • id: 1074598
    {'lmfdb_iso': '22800.s', 'p': 11, 'prec': 20, 'unit': 5048820684575574634, 'val': 2}
  • id: 1074600
    {'lmfdb_iso': '22800.s', 'p': 13, 'prec': 20, 'unit': 408491312257167477378, 'val': 2}
  • id: 1074602
    {'lmfdb_iso': '22800.s', 'p': 17, 'prec': 20, 'unit': 143098688478641534814782, 'val': 2}
  • id: 1074606
    {'lmfdb_iso': '22800.s', 'p': 23, 'prec': 20, 'unit': 5960120615947720241694071, 'val': 2}
  • id: 1074599
    {'lmfdb_iso': '22800.s', 'p': 29, 'prec': 20, 'unit': 4556380515584396068961432439, 'val': 2}
  • id: 1074610
    {'lmfdb_iso': '22800.s', 'p': 31, 'prec': 20, 'unit': 8039926562992505885917232708, 'val': 2}
  • id: 1074596
    {'lmfdb_iso': '22800.s', 'p': 37, 'prec': 20, 'unit': 3547858269802529385748888076, 'val': 3}
  • id: 1074597
    {'lmfdb_iso': '22800.s', 'p': 41, 'prec': 20, 'unit': 2189894677860475521450587808935, 'val': 2}
  • id: 1074601
    {'lmfdb_iso': '22800.s', 'p': 47, 'prec': 20, 'unit': 45880775344048640168891851478000, 'val': 2}
  • id: 1074604
    {'lmfdb_iso': '22800.s', 'p': 53, 'prec': 20, 'unit': 554514062083960148536600671569017, 'val': 2}
  • id: 1074609
    {'lmfdb_iso': '22800.s', 'p': 61, 'prec': 20, 'unit': 1028551199793679879052567167333123, 'val': 2}
  • id: 1074595
    {'lmfdb_iso': '22800.s', 'p': 67, 'prec': 20, 'unit': 41757901856643826621318317203808309, 'val': 2}
  • id: 1074605
    {'lmfdb_iso': '22800.s', 'p': 73, 'prec': 20, 'unit': 104196081234013810493540872295111503, 'val': 2}
  • id: 1074608
    {'lmfdb_iso': '22800.s', 'p': 79, 'prec': 20, 'unit': 294080219500883205767260975189367354, 'val': 2}
  • id: 1074603
    {'lmfdb_iso': '22800.s', 'p': 83, 'prec': 20, 'unit': 1813612728159723091246048517267898865, 'val': 2}
  • id: 1074607
    {'lmfdb_iso': '22800.s', 'p': 89, 'prec': 20, 'unit': 9595796217353278503401460439288916087, 'val': 2}
  • id: 1074594
    {'lmfdb_iso': '22800.s', 'p': 97, 'prec': 20, 'unit': 495200357510286494541360234106474557, 'val': 3}
• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 151222
    {'Ciso': '22800h', 'Clabel': '22800h4', 'Cnumber': 4, 'abc_quality': 0.9336753006137475, 'absD': 1140000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -61008, -5779488], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 73728, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3896623990377098165129905030', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [784767874322, 35625], 'lmfdb_iso': '22800.s', 'lmfdb_label': '22800.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2440, 47212], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '120.24.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '10.872565897646260375937467955', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.050441472692623571086518608282', 'prec': 110}, 'szpiro_ratio': 4.451624880967882, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 151221
    {'Ciso': '22800h', 'Clabel': '22800h3', 'Cnumber': 3, 'abc_quality': 0.9806888530998328, 'absD': 62554080000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -19008, 940512], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 73728, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3896623990377098165129905030', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [23735908082, 1954815], 'lmfdb_iso': '22800.s', 'lmfdb_label': '22800.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -760, -7220], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 21, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.7181414744115650939843669889', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.050441472692623571086518608282', 'prec': 110}, 'szpiro_ratio': 4.102988332219087, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 151220
    {'Ciso': '22800h', 'Clabel': '22800h2', 'Cnumber': 2, 'abc_quality': 0.8579218030484116, 'absD': 1299600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -4008, -79488], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 36864, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0430888087577371618043744423', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [445138564, 81225], 'lmfdb_iso': '22800.s', 'lmfdb_label': '22800.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -160, 700], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '120.24.0.?', '380.24.0.?', '456.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 25, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.7181414744115650939843669889', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33925279792593411667703199219', 'prec': 107}, 'szpiro_ratio': 3.637643920724667, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 151219
    {'Ciso': '22800h', 'Clabel': '22800h1', 'Cnumber': 1, 'abc_quality': 0.7972672639579634, 'absD': 30780000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, 492, -7488], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 18432, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.69651521847776450709575838154', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [3286064, 7695], 'lmfdb_iso': '22800.s', 'lmfdb_label': '22800.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 20, 52], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '120.24.0.?', '190.6.0.?', '380.24.0.?', '456.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.7181414744115650939843669889', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57030185811258255314944269938', 'prec': 107}, 'szpiro_ratio': 3.1213254485302366, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}