Elliptic curve isogeny class data - 73920.p

Formats: - HTML - YAML - JSON - 2024-05-03T21:02:06.155309

• 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, -1, 0, -1, 0, 1, 0, -1, 0, 2, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, -1, -1, -1, -1, 2, 2, 4, 0, 2, -8, 2, -6, -4, 8, 10, 4, 2, 12, 8, -14, 8, -12, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 73920, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '73920.p', 'trace_hash': 196534128845600980}
• ec_padic •

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

  
  
  • id: 3796385
    {'lmfdb_iso': '73920.p', 'p': 13, 'prec': 20, 'unit': 509250069534589143374, 'val': 1}
  • id: 3796387
    {'lmfdb_iso': '73920.p', 'p': 17, 'prec': 20, 'unit': 111319301859901194918154, 'val': 1}
  • id: 3796388
    {'lmfdb_iso': '73920.p', 'p': 19, 'prec': 20, 'unit': 427355446520050181348603, 'val': 1}
  • id: 3796384
    {'lmfdb_iso': '73920.p', 'p': 29, 'prec': 20, 'unit': 5113065227866865339905976215, 'val': 1}
  • id: 3796395
    {'lmfdb_iso': '73920.p', 'p': 31, 'prec': 20, 'unit': 6782876746587865612643389624, 'val': 1}
  • id: 3796380
    {'lmfdb_iso': '73920.p', 'p': 37, 'prec': 20, 'unit': 127921180515090985226977632114, 'val': 1}
  • id: 3796382
    {'lmfdb_iso': '73920.p', 'p': 41, 'prec': 20, 'unit': 3499896332377728872191848408586, 'val': 1}
  • id: 3796383
    {'lmfdb_iso': '73920.p', 'p': 43, 'prec': 20, 'unit': 4937275344982510527952114156659, 'val': 1}
  • id: 3796393
    {'lmfdb_iso': '73920.p', 'p': 47, 'prec': 20, 'unit': 4214430999853667459560498826055, 'val': 1}
  • id: 3796389
    {'lmfdb_iso': '73920.p', 'p': 53, 'prec': 20, 'unit': 406238997426159612509819623442720, 'val': 1}
  • id: 3796390
    {'lmfdb_iso': '73920.p', 'p': 59, 'prec': 20, 'unit': 557549827897560111295502161017797, 'val': 1}
  • id: 3796394
    {'lmfdb_iso': '73920.p', 'p': 61, 'prec': 20, 'unit': 797522689438080925063570046629778, 'val': 1}
  • id: 3796379
    {'lmfdb_iso': '73920.p', 'p': 67, 'prec': 20, 'unit': 35880078077960526807605005068260810, 'val': 1}
  • id: 3796381
    {'lmfdb_iso': '73920.p', 'p': 71, 'prec': 20, 'unit': 15529328781457500198385844209012451, 'val': 1}
  • id: 3796391
    {'lmfdb_iso': '73920.p', 'p': 73, 'prec': 20, 'unit': 58353944442745630018821942056856101, 'val': 1}
  • id: 3796386
    {'lmfdb_iso': '73920.p', 'p': 79, 'prec': 20, 'unit': 671385370991752825493426920337615911, 'val': 1}
  • id: 3796378
    {'lmfdb_iso': '73920.p', 'p': 83, 'prec': 20, 'unit': 460548624963315356480166944014978360, 'val': 1}
  • id: 3796392
    {'lmfdb_iso': '73920.p', 'p': 89, 'prec': 20, 'unit': 505412025360818508278697562612122412, 'val': 1}
  • id: 3796377
    {'lmfdb_iso': '73920.p', 'p': 97, 'prec': 20, 'unit': 3454269061341351334426446605913458115, '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: 487852
    {'Ciso': '73920b', 'Clabel': '73920b6', 'Cnumber': 6, 'abc_quality': 1.0265025414767253, 'absD': 36510566400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -121702721, -516730924479], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 73920, 'degree': 4718592, 'elladic_images': ['8.24.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0138548177616387549855087075', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1520949008089505953959842, 278553515625], 'lmfdb_iso': '73920.p', 'lmfdb_label': '73920.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -30425680, -64606578400], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.9', '24.48.0-24.by.1.1', '80.48.0.?', '88.48.0.?', '132.12.0.?', '240.96.0.?', '264.96.0.?', '880.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '26.187933515839643353059462246', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0318963119683828999777632021', 'prec': 100}, 'szpiro_ratio': 6.0178798700242275, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 487850
    {'Ciso': '73920b', 'Clabel': '73920b4', 'Cnumber': 4, 'abc_quality': 1.000725366625225, 'absD': 20828460294512640000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -7607201, -8070277215], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 73920, 'degree': 2359296, 'elladic_images': ['8.24.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6672812274816661002768926468', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [742879737792994384804, 317817082130625], 'lmfdb_iso': '73920.p', 'lmfdb_label': '73920.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1901800, -1009735552], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.11', '24.48.0-24.h.1.21', '40.48.0-40.m.1.9', '88.48.0.?', '120.96.0.?', '132.24.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.093966757919821676529731123', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7430849867350723543872498182', 'prec': 100}, 'szpiro_ratio': 5.2759610480300205, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 487851
    {'Ciso': '73920b', 'Clabel': '73920b5', 'Cnumber': 5, 'abc_quality': 1.0103263266334293, 'absD': 32342607066469161369600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -6419201, -10677462015], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 73920, 'degree': 4718592, 'elladic_images': ['8.24.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0138548177616387549855087075', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-223180773010681046402, 246754509479287425], 'lmfdb_iso': '73920.p', 'lmfdb_label': '73920.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1604800, -1335485152], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.9', '48.48.0-48.f.1.3', '80.48.0.?', '120.48.0.?', '132.12.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '26.187933515839643353059462246', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0318963119683828999777632021', 'prec': 100}, 'szpiro_ratio': 5.325817491817149, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 487848
    {'Ciso': '73920b', 'Clabel': '73920b2', 'Cnumber': 2, 'abc_quality': 0.9835490352730434, 'absD': 7652051870548377600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -550481, -83481519], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 73920, 'degree': 1179648, 'elladic_images': ['8.24.0.21'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3207076372016934455682765861', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [1125982298608534096, 467044181552025], 'lmfdb_iso': '73920.p', 'lmfdb_label': '73920.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -137620, -10504000], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.2', '20.24.0.c.1', '24.48.0-24.h.2.7', '40.48.0-20.c.1.7', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.5469833789599108382648655615', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5120359265484239179148391111', 'prec': 100}, 'szpiro_ratio': 4.573226560159425, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 487847
    {'Ciso': '73920b', 'Clabel': '73920b1', 'Cnumber': 1, 'abc_quality': 0.9933270055520225, 'absD': 39204421571589120, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -257661, 49517325], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 73920, 'degree': 589824, 'elladic_images': ['8.24.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9741340469217207908596605253', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1847444944806639616, 38285567941005], 'lmfdb_iso': '73920.p', 'lmfdb_label': '73920.p5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -64415, 6157458], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.11', '10.6.0.a.1', '20.12.0.g.1', '24.48.0-24.by.2.9', '40.48.0-40.bj.1.3', '120.96.0.?', '176.48.0.?', '528.96.0.?', '880.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2734916894799554191324327808', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3965113964550996996786337574', 'prec': 100}, 'szpiro_ratio': 4.3700783986210405, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 487849
    {'Ciso': '73920b', 'Clabel': '73920b3', 'Cnumber': 3, 'abc_quality': 1.0024225197157763, 'absD': 548708260838063800320, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, 1821119, -613296959], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 73920, 'degree': 2359296, 'elladic_images': ['8.24.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6672812274816661002768926468', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [10191978981888338876, 8372623608979245], 'lmfdb_iso': '73920.p', 'lmfdb_label': '73920.p6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 455280, -76434480], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.11', '20.12.0.h.1', '40.48.0-40.bn.1.3', '48.48.0-48.f.2.3', '88.48.0.?', '240.96.0.?', '440.96.0.?', '528.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.093966757919821676529731123', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7430849867350723543872498182', 'prec': 100}, 'szpiro_ratio': 4.893387406180336, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}