Elliptic curve isogeny class data - 12240.br

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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, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, -2, -1, 4, -8, -2, 8, 2, -2, 4, 0, -6, -4, -6, -4, -8, 2, 0, 4, 6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 12240, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '12240.br', 'trace_hash': 1064407993002783724}
• ec_padic •

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

  
  
  • id: 534486
    {'lmfdb_iso': '12240.br', 'p': 13, 'prec': 20, 'unit': 883266409593884104695, 'val': 1}
  • id: 534479
    {'lmfdb_iso': '12240.br', 'p': 19, 'prec': 20, 'unit': 1138474905285211291863851, 'val': 1}
  • id: 534491
    {'lmfdb_iso': '12240.br', 'p': 23, 'prec': 20, 'unit': 58078435749935935546348414, 'val': 1}
  • id: 534487
    {'lmfdb_iso': '12240.br', 'p': 29, 'prec': 20, 'unit': 5290680025721034419614604770, 'val': 1}
  • id: 534495
    {'lmfdb_iso': '12240.br', 'p': 31, 'prec': 20, 'unit': 19080573647992366911483627334, 'val': 1}
  • id: 534482
    {'lmfdb_iso': '12240.br', 'p': 37, 'prec': 20, 'unit': 349906054791297327486541240461, 'val': 1}
  • id: 534484
    {'lmfdb_iso': '12240.br', 'p': 41, 'prec': 20, 'unit': 1242727637446343180623543431482, 'val': 1}
  • id: 534485
    {'lmfdb_iso': '12240.br', 'p': 43, 'prec': 20, 'unit': 6953958321429724219038762073003, 'val': 1}
  • id: 534489
    {'lmfdb_iso': '12240.br', 'p': 53, 'prec': 20, 'unit': 26038474070903575267775127875959, 'val': 1}
  • id: 534493
    {'lmfdb_iso': '12240.br', 'p': 59, 'prec': 20, 'unit': 4312294767973865911685511171074839, 'val': 1}
  • id: 534494
    {'lmfdb_iso': '12240.br', 'p': 61, 'prec': 20, 'unit': 3719892278200701822722071035814218, 'val': 1}
  • id: 534481
    {'lmfdb_iso': '12240.br', 'p': 67, 'prec': 20, 'unit': 39325380726081151713037311901231214, 'val': 1}
  • id: 534483
    {'lmfdb_iso': '12240.br', 'p': 71, 'prec': 20, 'unit': 7638360882672857452428589040854249, 'val': 1}
  • id: 534490
    {'lmfdb_iso': '12240.br', 'p': 73, 'prec': 20, 'unit': 106556067997325861346885272996829160, 'val': 1}
  • id: 534488
    {'lmfdb_iso': '12240.br', 'p': 83, 'prec': 20, 'unit': 2680249926927353644664971990742429552, 'val': 1}
  • id: 534492
    {'lmfdb_iso': '12240.br', 'p': 89, 'prec': 20, 'unit': 8551513037088915043988123895250593141, 'val': 1}
  • id: 534480
    {'lmfdb_iso': '12240.br', 'p': 97, 'prec': 20, 'unit': 11073057568627097790234509213181332445, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 79833
    {'Ciso': '12240r', 'Clabel': '12240r3', 'Cnumber': 3, 'abc_quality': 0.9533844096901573, 'absD': 3117404620800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, 0, 0, -10467, -403326], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12240, 'degree': 16384, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1811703974065772367259525484', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [84944038338, 2088025], 'lmfdb_iso': '12240.br', 'lmfdb_label': '12240.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1163, -14938], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '12.12.0-4.c.1.2', '24.24.0-8.k.1.2', '136.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3101580062242826487055487810', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0035206624407608092707995147310', 'prec': 113}, 'szpiro_ratio': 4.183978700552661, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 79832
    {'Ciso': '12240r', 'Clabel': '12240r2', 'Cnumber': 2, 'abc_quality': 0.975069130620042, 'absD': 134835840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, 0, 0, -1467, 12474], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12240, 'degree': 8192, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83459680712660458201733648769', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [467720676, 180625], 'lmfdb_iso': '12240.br', 'lmfdb_label': '12240.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -163, 462], 'min_quad_twist_disc': 12, '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.1.1', '68.12.0.b.1', '136.24.0.?', '204.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.65507900311214132435277439051', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29233198767407135486131289865', 'prec': 107}, 'szpiro_ratio': 3.557678987016276, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 79831
    {'Ciso': '12240r', 'Clabel': '12240r1', 'Cnumber': 1, 'abc_quality': 0.8761407382572933, 'absD': 79315200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, 0, 0, -1287, 17766], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12240, 'degree': 4096, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48802321684663192730872042696', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [1263257424, 425], 'lmfdb_iso': '12240.br', 'lmfdb_label': '12240.br3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -143, 658], 'min_quad_twist_disc': 12, '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.1.6', '34.6.0.a.1', '68.12.0.g.1', '136.24.0.?', '204.24.0.?', '408.48.0.?'], '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': '1.3101580062242826487055487810', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52338104786071979133372360581', 'prec': 107}, 'szpiro_ratio': 3.515955938892025, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 79834
    {'Ciso': '12240r', 'Clabel': '12240r4', 'Cnumber': 4, 'abc_quality': 1.0200364251200689, 'absD': 9914400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, 0, 0, 4653, 89586], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12240, 'degree': 16384, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1811703974065772367259525484', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [7462174302, 6640625], 'lmfdb_iso': '12240.br', 'lmfdb_label': '12240.br4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 517, 3318], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '24.24.0-8.p.1.7', '136.24.0.?', '204.12.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3101580062242826487055487810', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0035206624407608092707995147310', 'prec': 113}, 'szpiro_ratio': 3.925582419797139, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}