Elliptic curve isogeny class data - 10780.k

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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, 2, 0, -1, 0, 0, 0, 1, 0, -1, 0, 4, 0, -2, 0, 0, 0, 4, 0], 'aplist': [0, 2, -1, 0, -1, 4, 0, 4, -6, -6, -8, 2, -6, 8, -6, -6, 12, -2, -10, -12, 16, 8, 0, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 10780, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '10780.k', 'trace_hash': 352471742583997723}
• ec_padic •

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

  
  
  • id: 460421
    {'lmfdb_iso': '10780.k', 'p': 13, 'prec': 20, 'unit': 868940700084289345889, 'val': 1}
  • id: 460424
    {'lmfdb_iso': '10780.k', 'p': 19, 'prec': 20, 'unit': 1115200519175172092259378, 'val': 1}
  • id: 460427
    {'lmfdb_iso': '10780.k', 'p': 23, 'prec': 20, 'unit': 64675004532939327056291966, 'val': 1}
  • id: 460420
    {'lmfdb_iso': '10780.k', 'p': 29, 'prec': 20, 'unit': 5761807891619196313522289894, 'val': 1}
  • id: 460431
    {'lmfdb_iso': '10780.k', 'p': 31, 'prec': 20, 'unit': 7382490415279928548678268600, 'val': 1}
  • id: 460416
    {'lmfdb_iso': '10780.k', 'p': 37, 'prec': 20, 'unit': 244601711997763807515169546032, 'val': 1}
  • id: 460418
    {'lmfdb_iso': '10780.k', 'p': 41, 'prec': 20, 'unit': 1650633272264718267560250218589, 'val': 1}
  • id: 460419
    {'lmfdb_iso': '10780.k', 'p': 43, 'prec': 20, 'unit': 4722841192886066037875923744519, 'val': 1}
  • id: 460429
    {'lmfdb_iso': '10780.k', 'p': 47, 'prec': 20, 'unit': 37904898977824232005091931778377, 'val': 1}
  • id: 460425
    {'lmfdb_iso': '10780.k', 'p': 53, 'prec': 20, 'unit': 12860147111584145887176770492660, 'val': 1}
  • id: 460423
    {'lmfdb_iso': '10780.k', 'p': 59, 'prec': 20, 'unit': 1252367733911183464585687582022625, 'val': 1}
  • id: 460430
    {'lmfdb_iso': '10780.k', 'p': 61, 'prec': 20, 'unit': 6773618305215166558216767994528687, 'val': 1}
  • id: 460415
    {'lmfdb_iso': '10780.k', 'p': 67, 'prec': 20, 'unit': 26924967643847455071026643367172589, 'val': 1}
  • id: 460417
    {'lmfdb_iso': '10780.k', 'p': 71, 'prec': 20, 'unit': 8538069198060784547482280417103522, 'val': 1}
  • id: 460426
    {'lmfdb_iso': '10780.k', 'p': 73, 'prec': 20, 'unit': 28760322475629931234998275480461836, 'val': 1}
  • id: 460422
    {'lmfdb_iso': '10780.k', 'p': 79, 'prec': 20, 'unit': 938963509025799308781418988066164227, 'val': 1}
  • id: 460428
    {'lmfdb_iso': '10780.k', 'p': 89, 'prec': 20, 'unit': 6484321470240174473282291064072867322, 'val': 1}
  • id: 460414
    {'lmfdb_iso': '10780.k', 'p': 97, 'prec': 20, 'unit': 46763412108853363488476281266413507529, '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: 69821
    {'Ciso': '10780f', 'Clabel': '10780f4', 'Cnumber': 4, 'abc_quality': 0.9734387724171747, 'absD': 1002181241600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -347916, 79103816], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 10780, 'degree': 62208, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6874053605330398678828787364', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154639330142416, 33275], 'lmfdb_iso': '10780.k', 'lmfdb_label': '10780.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7100, -232652], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '44.6.0.a.1', '60.24.0.q.1', '132.24.0.?', '220.12.0.?', '420.48.0.?', '660.48.1.?', '924.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3511674901949876306767820027', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25235216563208634238538095037', 'prec': 103}, 'szpiro_ratio': 5.373220095965501, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 69820
    {'Ciso': '10780f', 'Clabel': '10780f3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 16673790407120, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -21821, 1232330], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 10780, 'degree': 31104, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3408317702530672131742626757', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '10780.k', 'lmfdb_label': '10780.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '21.8.0-3.a.1.2', '30.24.0.a.1', '42.24.0-6.a.1.4', '44.6.0.b.1', '132.24.0.?', '210.48.0.?', '220.12.0.?', '660.48.1.?', '924.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.7023349803899752613535640054', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13682763553876212414917559682', 'prec': 103}, 'szpiro_ratio': 4.478570535306909, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 69819
    {'Ciso': '10780f', 'Clabel': '10780f2', 'Cnumber': 2, 'abc_quality': 0.8781924989889901, 'absD': 5176556000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -4916, 76616], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 10780, 'degree': 20736, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1380992161989850221852561179', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [436334416, 171875], 'lmfdb_iso': '10780.k', 'lmfdb_label': '10780.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, -252], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '44.6.0.a.1', '60.24.0.q.1', '132.24.0.?', '220.12.0.?', '420.48.0.?', '660.48.1.?', '924.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4503891633983292102255940009', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29695397870196850331224166813', 'prec': 107}, 'szpiro_ratio': 3.9970670749531654, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 69818
    {'Ciso': '10780f', 'Clabel': '10780f1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 28471058000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -2221, -38730], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 10780, 'degree': 10368, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79152562591901236747664005722', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '10780.k', 'lmfdb_label': '10780.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '21.8.0-3.a.1.1', '30.24.0.a.1', '42.24.0-6.a.1.3', '44.6.0.b.1', '132.24.0.?', '210.48.0.?', '220.12.0.?', '660.48.1.?', '924.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9007783267966584204511880018', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702165', 'prec': 107}, 'szpiro_ratio': 3.7403895105576366, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}