Elliptic curve isogeny class data - 55488.bs

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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, -4, 0, 1, 0, -4, 0, 2, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, -1, 2, -4, -4, 2, 0, -4, 0, 2, 4, -2, -2, 4, -8, -10, -4, 6, 4, -16, 6, 4, 12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 55488, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '55488.bs', 'trace_hash': 692229091332147951}
• ec_padic •

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

  
  
  • id: 2807342
    {'lmfdb_iso': '55488.bs', 'p': 5, 'prec': 20, 'unit': 3306558364026, 'val': 1}
  • id: 2807343
    {'lmfdb_iso': '55488.bs', 'p': 7, 'prec': 20, 'unit': 811272354740786, 'val': 1}
  • id: 2807341
    {'lmfdb_iso': '55488.bs', 'p': 11, 'prec': 20, 'unit': 1988415668839059484, 'val': 2}
  • id: 2807348
    {'lmfdb_iso': '55488.bs', 'p': 13, 'prec': 20, 'unit': 1020212431233344440653, 'val': 1}
  • id: 2807351
    {'lmfdb_iso': '55488.bs', 'p': 19, 'prec': 20, 'unit': 1051912148223941570225684, 'val': 1}
  • id: 2807347
    {'lmfdb_iso': '55488.bs', 'p': 29, 'prec': 20, 'unit': 1359419070706443524621881501, 'val': 1}
  • id: 2807344
    {'lmfdb_iso': '55488.bs', 'p': 31, 'prec': 20, 'unit': 9628358660178877168027696253, 'val': 1}
  • id: 2807359
    {'lmfdb_iso': '55488.bs', 'p': 37, 'prec': 20, 'unit': 506036121851270252900522697744, 'val': 1}
  • id: 2807345
    {'lmfdb_iso': '55488.bs', 'p': 41, 'prec': 20, 'unit': 1147106267871556965159560799993, 'val': 1}
  • id: 2807346
    {'lmfdb_iso': '55488.bs', 'p': 43, 'prec': 20, 'unit': 125713206899053227651995730859, 'val': 2}
  • id: 2807357
    {'lmfdb_iso': '55488.bs', 'p': 47, 'prec': 20, 'unit': 56442872280565450351748485362141, 'val': 1}
  • id: 2807352
    {'lmfdb_iso': '55488.bs', 'p': 53, 'prec': 20, 'unit': 397869797563351018683087367081972, 'val': 1}
  • id: 2807350
    {'lmfdb_iso': '55488.bs', 'p': 59, 'prec': 20, 'unit': 750761936876876993293465382273071, 'val': 1}
  • id: 2807358
    {'lmfdb_iso': '55488.bs', 'p': 61, 'prec': 20, 'unit': 5808441431254339403650488256874793, 'val': 1}
  • id: 2807340
    {'lmfdb_iso': '55488.bs', 'p': 67, 'prec': 20, 'unit': 35546840116971920370096118805198073, 'val': 1}
  • id: 2807356
    {'lmfdb_iso': '55488.bs', 'p': 71, 'prec': 20, 'unit': 105111741330728845162566445778143096, 'val': 1}
  • id: 2807353
    {'lmfdb_iso': '55488.bs', 'p': 73, 'prec': 20, 'unit': 87107442837045636076621556463944757, 'val': 1}
  • id: 2807349
    {'lmfdb_iso': '55488.bs', 'p': 79, 'prec': 20, 'unit': 197670529879231831289699058009569593, 'val': 1}
  • id: 2807354
    {'lmfdb_iso': '55488.bs', 'p': 83, 'prec': 20, 'unit': 1476527448903592307635571574173115633, 'val': 1}
  • id: 2807355
    {'lmfdb_iso': '55488.bs', 'p': 89, 'prec': 20, 'unit': 103234682198293029232738360223627707, 'val': 2}
  • id: 2807339
    {'lmfdb_iso': '55488.bs', 'p': 97, 'prec': 20, 'unit': 21348235942345601663321649796067505181, '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: 368337
    {'Ciso': '55488j', 'Clabel': '55488j4', 'Cnumber': 4, 'abc_quality': 1.0374920117698965, 'absD': 2372819582976, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, -1, 0, -37377, -2767935], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55488, 'degree': 147456, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3369598918049145464477686079', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [7301384, 3], 'lmfdb_iso': '55488.bs', 'lmfdb_label': '55488.bs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -32, -60], 'min_quad_twist_disc': 136, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0.bi.1', '68.12.0-4.c.1.1', '136.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0511364886580929952999336554', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94608075592312513044853885286', 'prec': 107}, 'szpiro_ratio': 3.954629299998133, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 368335
    {'Ciso': '55488j', 'Clabel': '55488j2', 'Cnumber': 2, 'abc_quality': 1.0917548251330267, 'absD': 889807343616, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, -1, 0, -2697, -28215], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55488, 'degree': 73728, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99038630152494189173915254715', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [21952, 9], 'lmfdb_iso': '55488.bs', 'lmfdb_label': '55488.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2, 0], 'min_quad_twist_disc': 136, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0.a.1', '24.24.0.f.1', '68.12.0-2.a.1.1', '136.24.0.?', '204.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0255682443290464976499668277', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1193675510631114578028468832', 'prec': 103}, 'szpiro_ratio': 3.232690563624269, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 368334
    {'Ciso': '55488j', 'Clabel': '55488j1', 'Cnumber': 1, 'abc_quality': 1.027047455683347, 'absD': 4634413248, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, -1, 0, -1252, 17158], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55488, 'degree': 36864, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64381271124496923703053648642', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [140608, 3], 'lmfdb_iso': '55488.bs', 'lmfdb_label': '55488.bs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -17, 33], 'min_quad_twist_disc': 136, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0.h.1', '24.24.0.bk.1', '136.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0511364886580929952999336554', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1193675510631114578028468832', 'prec': 103}, 'szpiro_ratio': 3.0219818597842987, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 368336
    {'Ciso': '55488j', 'Clabel': '55488j3', 'Cnumber': 3, 'abc_quality': 1.059886267720316, 'absD': 64066128740352, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, -1, 0, 8863, -215487], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55488, 'degree': 147456, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3369598918049145464477686079', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [97336, 81], 'lmfdb_iso': '55488.bs', 'lmfdb_label': '55488.bs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 8, -8], 'min_quad_twist_disc': 136, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '24.24.0.n.1', '68.12.0-4.c.1.2', '136.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5127841221645232488249834139', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94608075592312513044853885286', 'prec': 107}, 'szpiro_ratio': 3.5593820377096947, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}