Elliptic curve isogeny class data - 84474.i

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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, 4, 0, -1, -4, 0, 1, -2, 0, 0, -2], 'aplist': [-1, 0, -2, 4, 4, -1, -2, 0, 0, 6, 4, 2, -10, 4, -8, -10, 4, -2, 16, -8, 2, -8, -12, 14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 84474, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '84474.i', 'trace_hash': 1889169102714279812}
• ec_padic •

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

  
  
  • id: 4356346
    {'lmfdb_iso': '84474.i', 'p': 5, 'prec': 20, 'unit': 3848726803099, 'val': 1}
  • id: 4356347
    {'lmfdb_iso': '84474.i', 'p': 7, 'prec': 20, 'unit': 4193740014105408, 'val': 1}
  • id: 4356345
    {'lmfdb_iso': '84474.i', 'p': 11, 'prec': 20, 'unit': 56078117459607437042, 'val': 1}
  • id: 4356353
    {'lmfdb_iso': '84474.i', 'p': 17, 'prec': 20, 'unit': 156591499013988298704962, 'val': 1}
  • id: 4356351
    {'lmfdb_iso': '84474.i', 'p': 29, 'prec': 20, 'unit': 2987415611615491882188019462, 'val': 1}
  • id: 4356348
    {'lmfdb_iso': '84474.i', 'p': 31, 'prec': 20, 'unit': 16469209436954418966486297413, 'val': 1}
  • id: 4356362
    {'lmfdb_iso': '84474.i', 'p': 37, 'prec': 20, 'unit': 15912808886462666785630243117, 'val': 1}
  • id: 4356349
    {'lmfdb_iso': '84474.i', 'p': 41, 'prec': 20, 'unit': 2253944453574086254072694553288, 'val': 1}
  • id: 4356350
    {'lmfdb_iso': '84474.i', 'p': 43, 'prec': 20, 'unit': 2795767296465450595810006109059, 'val': 1}
  • id: 4356360
    {'lmfdb_iso': '84474.i', 'p': 47, 'prec': 20, 'unit': 15873185499774639257505720486799, 'val': 1}
  • id: 4356355
    {'lmfdb_iso': '84474.i', 'p': 53, 'prec': 20, 'unit': 3949911552020391731237877491115, 'val': 1}
  • id: 4356356
    {'lmfdb_iso': '84474.i', 'p': 59, 'prec': 20, 'unit': 325399642976953196872639323440530, 'val': 1}
  • id: 4356361
    {'lmfdb_iso': '84474.i', 'p': 61, 'prec': 20, 'unit': 1032254404088364939204709012793700, 'val': 1}
  • id: 4356344
    {'lmfdb_iso': '84474.i', 'p': 67, 'prec': 20, 'unit': 6452071036460712881077603301950974, 'val': 1}
  • id: 4356359
    {'lmfdb_iso': '84474.i', 'p': 71, 'prec': 20, 'unit': 113443512560778701958788962367833728, 'val': 1}
  • id: 4356357
    {'lmfdb_iso': '84474.i', 'p': 73, 'prec': 20, 'unit': 62370736993459409061079296650454194, 'val': 1}
  • id: 4356352
    {'lmfdb_iso': '84474.i', 'p': 79, 'prec': 20, 'unit': 991866356009763664315231200909741233, 'val': 1}
  • id: 4356354
    {'lmfdb_iso': '84474.i', 'p': 83, 'prec': 20, 'unit': 1046538931289809250517451024921927599, 'val': 1}
  • id: 4356358
    {'lmfdb_iso': '84474.i', 'p': 89, 'prec': 20, 'unit': 4264637339094650348252905406055350150, 'val': 1}
  • id: 4356343
    {'lmfdb_iso': '84474.i', 'p': 97, 'prec': 20, 'unit': 43773026730215832008977052505844491136, '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: 556254
    {'Ciso': '84474p', 'Clabel': '84474p4', 'Cnumber': 4, 'abc_quality': 1.065548212916854, 'absD': 3808454746568342832, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [1, -1, 0, -67382703, 212914421181], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84474, 'degree': 7741440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9896032862348160569755799287', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [986551739719628473, 111045168], 'lmfdb_iso': '84474.i', 'lmfdb_label': '84474.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -20739, 1140957], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '76.12.0.?', '104.12.0.?', '228.24.0.?', '312.24.0.?', '1976.24.0.?', '5928.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3957080586133301728099555856', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96807765231754098127344359429', 'prec': 103}, 'szpiro_ratio': 5.790739332679797, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 556253
    {'Ciso': '84474p', 'Clabel': '84474p3', 'Cnumber': 3, 'abc_quality': 1.0784914154165677, 'absD': 24873537993726773072592, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [1, -1, 0, -7601103, -2733821091], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84474, 'degree': 7741440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9896032862348160569755799287', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [1416134368422073, 725251155408], 'lmfdb_iso': '84474.i', 'lmfdb_label': '84474.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2339, -15747], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '26.6.0.b.1', '52.12.0.g.1', '152.12.0.?', '228.12.0.?', '312.24.0.?', '456.24.0.?', '1976.24.0.?', '2964.24.0.?', '5928.48.0.?'], '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': '13.582832234453320691239822342', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96807765231754098127344359429', 'prec': 103}, 'szpiro_ratio': 5.213679211854609, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 556252
    {'Ciso': '84474p', 'Clabel': '84474p2', 'Cnumber': 2, 'abc_quality': 1.1039479900506757, 'absD': 87616994406258680064, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2964, 'ainvs': [1, -1, 0, -4222143, 3309786765], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84474, 'degree': 3870720, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6430296959548434022669638680', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [242702053576633, 2554695936], 'lmfdb_iso': '84474.i', 'lmfdb_label': '84474.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1299, 17325], 'min_quad_twist_disc': 57, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '52.12.0.b.1', '76.12.0.?', '156.24.0.?', '228.24.0.?', '988.24.0.?', '2964.48.0.?'], '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': '6.7914161172266603456199111711', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62150406203756832656482753359', 'prec': 103}, 'szpiro_ratio': 5.058194318018409, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 556251
    {'Ciso': '84474p', 'Clabel': '84474p1', 'Cnumber': 1, 'abc_quality': 1.085841646160488, 'absD': 7100332563470155776, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [1, -1, 0, -63423, 128365965], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84474, 'degree': 1935360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2964561056748707475583478072', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [-822656953, 207028224], 'lmfdb_iso': '84474.i', 'lmfdb_label': '84474.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 685], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '76.12.0.?', '78.6.0.?', '104.12.0.?', '156.12.0.?', '312.24.0.?', '456.24.0.?', '1976.24.0.?', '2964.24.0.?', '5928.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.582832234453320691239822342', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27493047175759567185621147279', 'prec': 103}, 'szpiro_ratio': 4.483673976422227, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}