Elliptic curve isogeny class data - 42978.v

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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, 1, 1, 0, 1, -1, 1, 1, 0, 0, 1, 1, -1, 0, 1, -3, 1, 1, 0], 'aplist': [1, 1, 0, -1, 0, 1, -3, 1, 0, -1, 5, 11, 6, -10, -9, 6, -6, -10, 5, -3, 2, -10, 3, -15, 8], 'class_deg': 9, 'class_size': 3, 'conductor': 42978, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '42978.v', 'trace_hash': 1394442883585623898}
• ec_padic •

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

  
  
  • id: 2140123
    {'lmfdb_iso': '42978.v', 'p': 7, 'prec': 20, 'unit': 9610409882530928, 'val': 1}
  • id: 2140127
    {'lmfdb_iso': '42978.v', 'p': 17, 'prec': 20, 'unit': 27523194875185505205947, 'val': 1}
  • id: 2140136
    {'lmfdb_iso': '42978.v', 'p': 31, 'prec': 20, 'unit': 20213500781293148890780924401, 'val': 1}
  • id: 2140122
    {'lmfdb_iso': '42978.v', 'p': 37, 'prec': 20, 'unit': 5133039480403597677611351423, 'val': 1}
  • id: 2140124
    {'lmfdb_iso': '42978.v', 'p': 41, 'prec': 20, 'unit': 4197916567921513676019677622166, 'val': 1}
  • id: 2140125
    {'lmfdb_iso': '42978.v', 'p': 43, 'prec': 20, 'unit': 9202405967554879180677491596784, 'val': 1}
  • id: 2140134
    {'lmfdb_iso': '42978.v', 'p': 47, 'prec': 20, 'unit': 2108342896025842335304158405806, 'val': 1}
  • id: 2140129
    {'lmfdb_iso': '42978.v', 'p': 53, 'prec': 20, 'unit': 186272395980284445910529142020542, 'val': 1}
  • id: 2140130
    {'lmfdb_iso': '42978.v', 'p': 59, 'prec': 20, 'unit': 2173878135253090402061954122571422, 'val': 1}
  • id: 2140135
    {'lmfdb_iso': '42978.v', 'p': 61, 'prec': 20, 'unit': 2004945268090152849985601908510427, 'val': 1}
  • id: 2140121
    {'lmfdb_iso': '42978.v', 'p': 67, 'prec': 20, 'unit': 23362013676985162375929658092139137, 'val': 1}
  • id: 2140133
    {'lmfdb_iso': '42978.v', 'p': 71, 'prec': 20, 'unit': 116054651792690736666689678108510654, 'val': 1}
  • id: 2140131
    {'lmfdb_iso': '42978.v', 'p': 73, 'prec': 20, 'unit': 124315129372606864068630726322592673, 'val': 1}
  • id: 2140126
    {'lmfdb_iso': '42978.v', 'p': 79, 'prec': 20, 'unit': 1312433263505536099415211957607680, 'val': 2}
  • id: 2140128
    {'lmfdb_iso': '42978.v', 'p': 83, 'prec': 20, 'unit': 2427932438484708285547411170447503212, 'val': 1}
  • id: 2140132
    {'lmfdb_iso': '42978.v', 'p': 89, 'prec': 20, 'unit': 3966473080663388881131333433102843631, 'val': 1}
  • id: 2140120
    {'lmfdb_iso': '42978.v', 'p': 97, 'prec': 20, 'unit': 45192874049377203300583582414423613715, '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: 285894
    {'Ciso': '42978x', 'Clabel': '42978x3', 'Cnumber': 3, 'abc_quality': 0.9784039458878685, 'absD': 21499590336237858, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 515736, 'ainvs': [1, 0, 0, -174863, -29029845], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19, 29], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 42978, 'degree': 349920, 'elladic_images': ['9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9053679531864161316493064478', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [-591313293127508640625, 21499590336237858], 'lmfdb_iso': '42978.v', 'lmfdb_label': '42978.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -174863, -29029845], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '2223.72.0.?', '171912.16.0.?', '515736.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.412882268668162080744064216', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 21489], [3, 4, 494], [13, 14, 3306], [19, 20, 2262], [29, 30, 1482]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9053679531864161316493064478', 'prec': 100}, 'szpiro_ratio': 4.488922000895821, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 285892
    {'Ciso': '42978x', 'Clabel': '42978x1', 'Cnumber': 1, 'abc_quality': 0.8727513027295589, 'absD': 72186536448, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 515736, 'ainvs': [1, 0, 0, -1493, 25569], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19, 29], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 42978, 'degree': 38880, 'elladic_images': ['9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80675566451830644025406121090', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [-368062283004625, 72186536448], 'lmfdb_iso': '42978.v', 'lmfdb_label': '42978.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1493, 25569], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '2223.72.0.?', '171912.16.0.?', '515736.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1569869187409068978604515795', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 21489], [3, 4, 7163], [13, 14, 3306], [19, 20, 2262], [29, 30, 1482]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80675566451830644025406121090', 'prec': 103}, 'szpiro_ratio': 3.171139759178843, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 285893
    {'Ciso': '42978x', 'Clabel': '42978x2', 'Cnumber': 2, 'abc_quality': 1.0171760198454722, 'absD': 79385028425352, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 515736, 'ainvs': [1, 0, 0, 10387, -132327], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19, 29], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 42978, 'degree': 116640, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3560618088523612859516838294', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [123934293043859375, 79385028425352], 'lmfdb_iso': '42978.v', 'lmfdb_label': '42978.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 10387, -132327], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '2223.72.0.?', '171912.48.1.?', '515736.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4709607562227206935813547385', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 21489], [3, 4, 1], [13, 14, 3306], [19, 20, 2262], [29, 30, 1482]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3560618088523612859516838294', 'prec': 100}, 'szpiro_ratio': 3.6892473980958567, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}