Elliptic curve isogeny class data - 2496.c

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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, -2, 0, 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, 2, 0, 4, 0], 'aplist': [0, -1, -2, 0, 0, -1, 2, 4, 0, -6, 0, 2, 6, 12, -4, -6, 8, 2, -4, -12, -14, 0, -8, -18, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 2496, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2496.c', 'trace_hash': 1339345187286335470}
• ec_padic •

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

  
  
  • id: 77170
    {'lmfdb_iso': '2496.c', 'p': 5, 'prec': 20, 'unit': 116127930052, 'val': 4}
  • id: 77163
    {'lmfdb_iso': '2496.c', 'p': 17, 'prec': 20, 'unit': 227628821156810325448954, 'val': 1}
  • id: 77154
    {'lmfdb_iso': '2496.c', 'p': 19, 'prec': 20, 'unit': 757920317054229555017981, 'val': 1}
  • id: 77161
    {'lmfdb_iso': '2496.c', 'p': 29, 'prec': 20, 'unit': 4735288719074671741120494872, 'val': 1}
  • id: 77157
    {'lmfdb_iso': '2496.c', 'p': 37, 'prec': 20, 'unit': 282958529121592596636142706037, 'val': 1}
  • id: 77159
    {'lmfdb_iso': '2496.c', 'p': 41, 'prec': 20, 'unit': 1137162026344987347563181638193, 'val': 1}
  • id: 77160
    {'lmfdb_iso': '2496.c', 'p': 43, 'prec': 20, 'unit': 1253496398099274110925510804949, 'val': 1}
  • id: 77162
    {'lmfdb_iso': '2496.c', 'p': 47, 'prec': 20, 'unit': 17860226272874985079153382472110, 'val': 1}
  • id: 77165
    {'lmfdb_iso': '2496.c', 'p': 53, 'prec': 20, 'unit': 175042634236064571202687307559935, 'val': 1}
  • id: 77168
    {'lmfdb_iso': '2496.c', 'p': 59, 'prec': 20, 'unit': 662289042830661458788282834859360, 'val': 1}
  • id: 77169
    {'lmfdb_iso': '2496.c', 'p': 61, 'prec': 20, 'unit': 1545420967747219333825959762224522, 'val': 1}
  • id: 77156
    {'lmfdb_iso': '2496.c', 'p': 67, 'prec': 20, 'unit': 45304100364302045448655432351024458, 'val': 1}
  • id: 77158
    {'lmfdb_iso': '2496.c', 'p': 71, 'prec': 20, 'unit': 47270937902858977032237212677229845, 'val': 1}
  • id: 77166
    {'lmfdb_iso': '2496.c', 'p': 73, 'prec': 20, 'unit': 56628307669794550541317980027514038, 'val': 1}
  • id: 77164
    {'lmfdb_iso': '2496.c', 'p': 83, 'prec': 20, 'unit': 435190321941134903708120014818967708, 'val': 1}
  • id: 77167
    {'lmfdb_iso': '2496.c', 'p': 89, 'prec': 20, 'unit': 7281384430889209334544040292264768453, 'val': 1}
  • id: 77155
    {'lmfdb_iso': '2496.c', 'p': 97, 'prec': 20, 'unit': 27063270354086365867650335222947673551, '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: 14526
    {'Ciso': '2496c', 'Clabel': '2496c3', 'Cnumber': 3, 'abc_quality': 1.052193877800105, 'absD': 2555904, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, -1, 0, -3329, -72831], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2496, 'degree': 1024, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54969891478269163301861340129', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [62275269892, 39], 'lmfdb_iso': '2496.c', 'lmfdb_label': '2496.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -832, -9520], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '24.24.0-24.z.1.10', '104.24.0.?', '156.12.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9118228853173584475006477781', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 832], [13, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942732', 'prec': 107}, 'szpiro_ratio': 4.595134432258876, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 14525
    {'Ciso': '2496c', 'Clabel': '2496c2', 'Cnumber': 2, 'abc_quality': 0.9871496807008809, 'absD': 24920064, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, -1, 0, -209, -1071], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2496, 'degree': 512, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20312532450271897830999734056', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [61918288, 1521], 'lmfdb_iso': '2496.c', 'lmfdb_label': '2496.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -52, -160], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0.b.1', '24.24.0-12.b.1.2', '52.12.0.b.1', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9559114426586792237503238890', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 832], [13, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60554638615055054934344013447', 'prec': 107}, 'szpiro_ratio': 3.5341108339066203, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 14524
    {'Ciso': '2496c', 'Clabel': '2496c1', 'Cnumber': 1, 'abc_quality': 0.9241957238555172, 'absD': 1078272, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, -1, 0, -29, 45], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2496, 'degree': 256, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.14344826577725367639861872017', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 1053], 'lmfdb_iso': '2496.c', 'lmfdb_label': '2496.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 2], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '24.24.0-24.z.1.14', '26.6.0.b.1', '52.12.0.g.1', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.97795572132933961187516194452', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 832], [13, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72107091624387476757964548805', 'prec': 107}, 'szpiro_ratio': 2.7804321234972638, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 14527
    {'Ciso': '2496c', 'Clabel': '2496c4', 'Cnumber': 4, 'abc_quality': 1.0753683800031117, 'absD': 5615321088, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, -1, 0, 31, -3615], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2496, 'degree': 1024, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54969891478269163301861340129', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [48668, 85683], 'lmfdb_iso': '2496.c', 'lmfdb_label': '2496.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 8, -448], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0-4.c.1.3', '12.12.0.g.1', '24.24.0-12.g.1.2', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9118228853173584475006477781', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 832], [13, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942732', 'prec': 107}, 'szpiro_ratio': 3.822737882185411, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}