Elliptic curve isogeny class data - 720.c

Formats: - HTML - YAML - JSON - 2023-12-09T05:10:57.245105

• 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, -4, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, 0, -4, -2, -2, -4, 0, 2, 0, -10, -10, -4, 8, 10, -4, -2, -12, -8, 10, 0, 12, 6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 720, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '720.c', 'trace_hash': 4452916081343144}
• ec_padic •

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

  
  
  • id: 13727
    {'lmfdb_iso': '720.c', 'p': 11, 'prec': 20, 'unit': 43906525018167855924, 'val': 1}
  • id: 13733
    {'lmfdb_iso': '720.c', 'p': 13, 'prec': 20, 'unit': 1050216521060315950416, 'val': 1}
  • id: 13735
    {'lmfdb_iso': '720.c', 'p': 17, 'prec': 20, 'unit': 146974378396802910006343, 'val': 1}
  • id: 13736
    {'lmfdb_iso': '720.c', 'p': 19, 'prec': 20, 'unit': 645610779401273589096835, 'val': 1}
  • id: 13732
    {'lmfdb_iso': '720.c', 'p': 29, 'prec': 20, 'unit': 635502968018070440704760311, 'val': 1}
  • id: 13728
    {'lmfdb_iso': '720.c', 'p': 37, 'prec': 20, 'unit': 427881884625212267800043957160, 'val': 1}
  • id: 13730
    {'lmfdb_iso': '720.c', 'p': 41, 'prec': 20, 'unit': 3609352190954947843956766182626, 'val': 1}
  • id: 13731
    {'lmfdb_iso': '720.c', 'p': 43, 'prec': 20, 'unit': 1193721172049375777434313971501, 'val': 1}
  • id: 13734
    {'lmfdb_iso': '720.c', 'p': 47, 'prec': 20, 'unit': 46603194439184679613680173114932, 'val': 1}
  • id: 13737
    {'lmfdb_iso': '720.c', 'p': 53, 'prec': 20, 'unit': 153092985733952845781749568941485, 'val': 1}
  • id: 13741
    {'lmfdb_iso': '720.c', 'p': 59, 'prec': 20, 'unit': 3397981198819534724675723237320607, 'val': 1}
  • id: 13742
    {'lmfdb_iso': '720.c', 'p': 61, 'prec': 20, 'unit': 1227328655682497316346359354975315, 'val': 1}
  • id: 13726
    {'lmfdb_iso': '720.c', 'p': 67, 'prec': 20, 'unit': 44972203484216404298387080491173082, 'val': 1}
  • id: 13729
    {'lmfdb_iso': '720.c', 'p': 71, 'prec': 20, 'unit': 14526522180241375913254122419835034, 'val': 1}
  • id: 13738
    {'lmfdb_iso': '720.c', 'p': 73, 'prec': 20, 'unit': 108602073314063531770790775126697761, 'val': 1}
  • id: 13739
    {'lmfdb_iso': '720.c', 'p': 83, 'prec': 20, 'unit': 335670270648972733548818610740980245, 'val': 1}
  • id: 13740
    {'lmfdb_iso': '720.c', 'p': 89, 'prec': 20, 'unit': 4959470568886811811169105190804729727, 'val': 1}
  • id: 13725
    {'lmfdb_iso': '720.c', 'p': 97, 'prec': 20, 'unit': 25652459188021153382165473745798913797, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 3441
    {'Ciso': '720h', 'Clabel': '720h7', 'Cnumber': 7, 'absD': 1209323520, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -311043, -66769598], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 2048, 'elladic_images': ['32.96.0.51'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5333229333711016770884903642', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '12.12.0-4.c.1.2', '16.48.0.x.2', '20.12.0.g.1', '24.48.0-8.bb.2.5', '32.96.0-16.x.2.4', '40.48.0.bj.1', '48.96.0-16.x.2.5', '60.24.0-20.g.1.2', '80.192.1.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2012513759725045021929325719', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562428', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3439
    {'Ciso': '720h', 'Clabel': '720h5', 'Cnumber': 5, 'absD': 489776025600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, 0, 0, -19443, -1042958], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 1024, 'elladic_images': ['16.96.0.56'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1867493430911290223798743035', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.k.1', '12.24.0-4.b.1.3', '16.96.0-8.k.1.2', '20.24.0.c.1', '24.96.0-8.k.1.2', '40.96.1.cc.2', '48.192.1-48.e.2.6', '60.48.0-20.c.1.1', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6006256879862522510964662860', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436418', 'prec': 110}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 3442
    {'Ciso': '720h', 'Clabel': '720h8', 'Cnumber': 8, 'absD': 642684100792320, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -15843, -1441118], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 2048, 'elladic_images': ['32.96.0.67'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5333229333711016770884903642', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '12.12.0-4.c.1.2', '16.48.0.u.2', '20.12.0.h.1', '24.48.0-8.ba.2.6', '32.96.0-16.u.2.4', '40.48.0.bm.2', '48.96.0-16.u.2.6', '60.24.0-20.h.1.2', '80.192.5.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2012513759725045021929325719', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562428', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3438
    {'Ciso': '720h', 'Clabel': '720h4', 'Cnumber': 4, 'absD': 44789760, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -11523, 476098], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 512, 'elladic_images': ['32.96.0.31'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017575281115636767125824276', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '12.12.0-4.c.1.1', '16.48.0-16.g.1.16', '20.12.0-4.c.1.2', '24.48.0-24.by.2.15', '32.96.0-32.e.1.16', '40.48.0-40.cb.2.13', '48.96.0-48.bs.1.7', '60.24.0-60.h.1.4', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], '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': '1.3003128439931261255482331430', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3437
    {'Ciso': '720h', 'Clabel': '720h3', 'Cnumber': 3, 'absD': 151165440000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, 0, 0, -1443, -9758], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 512, 'elladic_images': ['8.96.0.87'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017575281115636767125824275', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [111284641, 50625], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10, -10], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.b.2.6', '12.48.0-4.b.1.1', '24.192.1-24.n.1.3', '40.192.1-40.s.1.11', '80.384.5.?', '120.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3003128439931261255482331430', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649717', 'prec': 107}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 3436
    {'Ciso': '720h', 'Clabel': '720h2', 'Cnumber': 2, 'absD': 671846400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, 0, 0, -723, 7378], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 256, 'elladic_images': ['16.96.0.33'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49360216253118371296264218203', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.i.1.6', '12.24.0-4.b.1.1', '16.96.0-16.d.2.4', '20.24.0-4.b.1.2', '24.96.0-24.bb.2.6', '40.96.0-40.bd.1.9', '48.192.1-48.n.1.4', '60.48.0-60.c.1.5', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.65015642199656306277411657149', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255789', 'prec': 107}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 3435
    {'Ciso': '720h', 'Clabel': '720h1', 'Cnumber': 1, 'absD': 44789760, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -3, 322], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 128, 'elladic_images': ['32.96.0.77'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14702857225121105825402612130', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '12.12.0-4.c.1.1', '16.48.0-16.g.1.12', '20.12.0-4.c.1.1', '24.48.0-24.bz.1.15', '30.6.0.a.1', '32.96.0-32.e.1.12', '40.48.0-40.cb.2.9', '48.96.0-48.bv.1.5', '60.24.0-60.g.1.2', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.32507821099828153138705828575', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3440
    {'Ciso': '720h', 'Clabel': '720h6', 'Cnumber': 6, 'absD': 10497600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, 5037, -73262], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 720, 'degree': 1024, 'elladic_images': ['8.96.0.172'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1867493430911290223798743035', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '720.c', 'lmfdb_label': '720.c8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.96.0-8.n.2.4', '12.24.0-4.d.1.1', '24.192.1-24.cv.2.6', '80.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], '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': '2.6006256879862522510964662860', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436418', 'prec': 110}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}