Elliptic curve isogeny class data - 37026.x

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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, -4, 1, 0, -2, 0, 0, 2, -4, 0, 1, 1, 0, -4, -2], 'aplist': [1, 0, -2, -4, 0, 2, 1, -4, 4, -6, -4, 2, 10, -4, 8, -6, 4, 6, 12, 12, -2, -4, -4, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 37026, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '37026.x', 'trace_hash': 1869101546889337216}
• ec_padic •

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

  
  
  • id: 1823352
    {'lmfdb_iso': '37026.x', 'p': 5, 'prec': 20, 'unit': 4213621981877, 'val': 1}
  • id: 1823353
    {'lmfdb_iso': '37026.x', 'p': 7, 'prec': 20, 'unit': 11304784141055903, 'val': 1}
  • id: 1823358
    {'lmfdb_iso': '37026.x', 'p': 13, 'prec': 20, 'unit': 688741271496195070435, 'val': 1}
  • id: 1823361
    {'lmfdb_iso': '37026.x', 'p': 19, 'prec': 20, 'unit': 908865529667923989845195, 'val': 1}
  • id: 1823364
    {'lmfdb_iso': '37026.x', 'p': 23, 'prec': 20, 'unit': 15351758004295995577180820, 'val': 1}
  • id: 1823357
    {'lmfdb_iso': '37026.x', 'p': 29, 'prec': 20, 'unit': 3056250826398335099140758720, 'val': 1}
  • id: 1823354
    {'lmfdb_iso': '37026.x', 'p': 31, 'prec': 20, 'unit': 18566315922390786924834080981, 'val': 1}
  • id: 1823369
    {'lmfdb_iso': '37026.x', 'p': 37, 'prec': 20, 'unit': 590125468603447699754305798562, 'val': 1}
  • id: 1823355
    {'lmfdb_iso': '37026.x', 'p': 41, 'prec': 20, 'unit': 4311937086577928767017783987027, 'val': 1}
  • id: 1823356
    {'lmfdb_iso': '37026.x', 'p': 43, 'prec': 20, 'unit': 6269096734740400287765787659299, 'val': 1}
  • id: 1823367
    {'lmfdb_iso': '37026.x', 'p': 47, 'prec': 20, 'unit': 53815738391369289404026115767117, 'val': 1}
  • id: 1823362
    {'lmfdb_iso': '37026.x', 'p': 53, 'prec': 20, 'unit': 370175591693086138245870221091531, 'val': 1}
  • id: 1823360
    {'lmfdb_iso': '37026.x', 'p': 59, 'prec': 20, 'unit': 3086764256228012593233109536736309, 'val': 1}
  • id: 1823368
    {'lmfdb_iso': '37026.x', 'p': 61, 'prec': 20, 'unit': 7092362387794739518998340392021886, 'val': 1}
  • id: 1823351
    {'lmfdb_iso': '37026.x', 'p': 67, 'prec': 20, 'unit': 28950444511591145073257904856315986, 'val': 1}
  • id: 1823366
    {'lmfdb_iso': '37026.x', 'p': 71, 'prec': 20, 'unit': 47057657713092735690696256525946658, 'val': 1}
  • id: 1823363
    {'lmfdb_iso': '37026.x', 'p': 73, 'prec': 20, 'unit': 29205082134062980929175007749245621, 'val': 1}
  • id: 1823359
    {'lmfdb_iso': '37026.x', 'p': 79, 'prec': 20, 'unit': 161475021654824014691533657493723814, 'val': 1}
  • id: 1823350
    {'lmfdb_iso': '37026.x', 'p': 83, 'prec': 20, 'unit': 635325970467939488925274865984425481, 'val': 1}
  • id: 1823365
    {'lmfdb_iso': '37026.x', 'p': 89, 'prec': 20, 'unit': 5556656829954789195741001738034836247, 'val': 1}
  • id: 1823349
    {'lmfdb_iso': '37026.x', 'p': 97, 'prec': 20, 'unit': 13994897404293802618744147969046135266, '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: 246659
    {'Ciso': '37026bn', 'Clabel': '37026bn4', 'Cnumber': 4, 'abc_quality': 0.96548780150265, 'absD': 84712314376747902834, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -2109416, -1092378999], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37026, 'degree': 1474560, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5665131372657839827815345665', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [803760366578833, 65593817586], 'lmfdb_iso': '37026.x', 'lmfdb_label': '37026.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1937, -31219], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '136.24.0.?', '264.24.0.?', '2244.12.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.127832918302378869163712097', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 18513], [3, 8, 4114], [11, 72, 306], [17, 18, 2178]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81825935653254386505294015905', 'prec': 103}, 'szpiro_ratio': 5.256905876428644, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 246657
    {'Ciso': '37026bn', 'Clabel': '37026bn2', 'Cnumber': 2, 'abc_quality': 0.9400064681728089, 'absD': 1770505306965703044, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -443246, 93934041], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37026, 'degree': 737280, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2199395469858113280729185058', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [7457162887153, 1370924676], 'lmfdb_iso': '37026.x', 'lmfdb_label': '37026.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -407, 2441], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '68.12.0.b.1', '132.12.0.?', '136.24.0.?', '264.24.0.?', '2244.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0639164591511894345818560485', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 4114], [11, 72, 306], [17, 18, 2178]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.47168576625257121034432409836', 'prec': 103}, 'szpiro_ratio': 4.812000560923729, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 246656
    {'Ciso': '37026bn', 'Clabel': '37026bn1', 'Cnumber': 1, 'abc_quality': 0.933285229740939, 'absD': 382543144161552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -421466, 105416457], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37026, 'degree': 368640, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8733659567058386733643024451', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [6411014266033, 296208], 'lmfdb_iso': '37026.x', 'lmfdb_label': '37026.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -387, 2769], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '34.6.0.a.1', '68.12.0.g.1', '132.12.0.?', '136.24.0.?', '264.24.0.?', '2244.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0319582295755947172909280243', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 18513], [3, 8, 4114], [11, 72, 306], [17, 18, 2178]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12511217597259855563570803766', 'prec': 103}, 'szpiro_ratio': 4.797631120505855, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 246658
    {'Ciso': '37026bn', 'Clabel': '37026bn3', 'Cnumber': 3, 'abc_quality': 0.9733322416401273, 'absD': 171263465829587365938, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, -1, 1, 874444, 545111097], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37026, 'degree': 1474560, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5665131372657839827815345665', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [57258048889007, 132611470002], 'lmfdb_iso': '37026.x', 'lmfdb_label': '37026.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 803, 15509], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '132.12.0.?', '136.24.0.?', '264.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0319582295755947172909280243', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 4114], [11, 72, 306], [17, 18, 2178]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81825935653254386505294015905', 'prec': 103}, 'szpiro_ratio': 5.110279318566163, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}