Elliptic curve isogeny class data - 51744.bu

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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, 1, 0, 2, 0, -2, 0, -6, 0, 0, 0], 'aplist': [0, 1, -2, 0, 1, 2, -6, 0, -8, 6, -4, -2, -6, 8, 8, 2, 4, 2, 12, 0, -10, 0, 4, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 51744, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '51744.bu', 'trace_hash': 1305374633822471799}
• ec_padic •

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

  
  
  • id: 2604718
    {'lmfdb_iso': '51744.bu', 'p': 5, 'prec': 20, 'unit': 609506531572, 'val': 1}
  • id: 2604723
    {'lmfdb_iso': '51744.bu', 'p': 13, 'prec': 20, 'unit': 334123889089817948219, 'val': 1}
  • id: 2604725
    {'lmfdb_iso': '51744.bu', 'p': 17, 'prec': 20, 'unit': 9203358428422898501333, 'val': 1}
  • id: 2604729
    {'lmfdb_iso': '51744.bu', 'p': 23, 'prec': 20, 'unit': 55772488778621077028837452, 'val': 1}
  • id: 2604722
    {'lmfdb_iso': '51744.bu', 'p': 29, 'prec': 20, 'unit': 4456679695304396634662400816, 'val': 1}
  • id: 2604719
    {'lmfdb_iso': '51744.bu', 'p': 31, 'prec': 20, 'unit': 20148510849608776690356612478, 'val': 1}
  • id: 2604733
    {'lmfdb_iso': '51744.bu', 'p': 37, 'prec': 20, 'unit': 217951192819152180515509959590, 'val': 1}
  • id: 2604720
    {'lmfdb_iso': '51744.bu', 'p': 41, 'prec': 20, 'unit': 757731974015058446030101476853, 'val': 1}
  • id: 2604721
    {'lmfdb_iso': '51744.bu', 'p': 43, 'prec': 20, 'unit': 5259358277318000042444768621001, 'val': 1}
  • id: 2604724
    {'lmfdb_iso': '51744.bu', 'p': 47, 'prec': 20, 'unit': 15676811268643209049072944958456, 'val': 1}
  • id: 2604727
    {'lmfdb_iso': '51744.bu', 'p': 53, 'prec': 20, 'unit': 508285593807341961705556195505813, 'val': 1}
  • id: 2604731
    {'lmfdb_iso': '51744.bu', 'p': 59, 'prec': 20, 'unit': 2774153549479346015639528232550663, 'val': 1}
  • id: 2604732
    {'lmfdb_iso': '51744.bu', 'p': 61, 'prec': 20, 'unit': 6119339908381709034298857077458766, 'val': 1}
  • id: 2604717
    {'lmfdb_iso': '51744.bu', 'p': 67, 'prec': 20, 'unit': 11845430145488409999573117007474895, 'val': 1}
  • id: 2604728
    {'lmfdb_iso': '51744.bu', 'p': 73, 'prec': 20, 'unit': 242583147135227420854658905981988549, 'val': 1}
  • id: 2604726
    {'lmfdb_iso': '51744.bu', 'p': 83, 'prec': 20, 'unit': 2078799214837573616702028459992783873, 'val': 1}
  • id: 2604730
    {'lmfdb_iso': '51744.bu', 'p': 89, 'prec': 20, 'unit': 1331053907478670090690839173227678769, 'val': 1}
  • id: 2604716
    {'lmfdb_iso': '51744.bu', 'p': 97, 'prec': 20, 'unit': 10146700909712145938498423122052552269, '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: 343475
    {'Ciso': '51744cr', 'Clabel': '51744cr4', 'Cnumber': 4, 'abc_quality': 0.9575790895470713, 'absD': 9334235909763072, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -353649, -80932545], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51744, 'degree': 442368, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9538713553566628253506955561', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 4], 'jinv': [10150654719808, 19370043], 'lmfdb_iso': '51744.bu', 'lmfdb_label': '51744.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7217, 238017], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '28.12.0-4.c.1.2', '84.24.0.?', '88.12.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], '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': '1.2824366650193278511180265030', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 17248], [7, 32, 1056], [11, 12, 4704]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28776910026906086338078706292', 'prec': 103}, 'szpiro_ratio': 4.6012062834856176, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 343474
    {'Ciso': '51744cr', 'Clabel': '51744cr3', 'Cnumber': 3, 'abc_quality': 0.959774874827451, 'absD': 17254485857613312, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -293624, 60815292], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51744, 'degree': 442368, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9538713553566628253506955561', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 4], 'jinv': [46477380430664, 286446699], 'lmfdb_iso': '51744.bu', 'lmfdb_label': '51744.bu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -5992, -175592], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '28.12.0-4.c.1.1', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], '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': '1.2824366650193278511180265030', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 539], [3, 4, 17248], [7, 32, 1056], [11, 12, 4704]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46105589540904719073509509328', 'prec': 103}, 'szpiro_ratio': 4.549795677299058, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 343472
    {'Ciso': '51744cr', 'Clabel': '51744cr1', 'Cnumber': 1, 'abc_quality': 1.0020811450421012, 'absD': 1594678991298624, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -29514, -352584], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51744, 'degree': 221184, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6072977650766901706420794954', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2], 'jinv': [377619516352, 211789809], 'lmfdb_iso': '51744.bu', 'lmfdb_label': '51744.bu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -602, 1200], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '28.12.0-2.a.1.1', '84.24.0.?', '88.12.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5648733300386557022360530059', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 17248], [7, 32, 1056], [11, 12, 4704]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28776910026906086338078706295', 'prec': 103}, 'szpiro_ratio': 3.9148007477268663, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 343473
    {'Ciso': '51744cr', 'Clabel': '51744cr2', 'Cnumber': 2, 'abc_quality': 1.0019353040765246, 'absD': 103133313349710336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, 116016, -2681064], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51744, 'degree': 442368, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9538713553566628253506955561', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 4], 'jinv': [2866919053816, 1712145897], 'lmfdb_iso': '51744.bu', 'lmfdb_label': '51744.bu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 2368, 7140], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '56.12.0-4.c.1.5', '84.12.0.?', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1297466600773114044721060118', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1617], [3, 4, 17248], [7, 32, 1056], [11, 12, 4704]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46105589540904719073509509328', 'prec': 103}, 'szpiro_ratio': 4.293142698273644, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}