Elliptic curve isogeny class data - 6240.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, 0, 1, 0, -1, 0, 0, 0, 1, 0, 4, 0, 1, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, 1, -1, 0, 4, 1, -2, -4, -8, -6, 0, -10, 6, 4, 0, 6, -12, -10, 12, 12, -10, -8, -16, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 6240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6240.v', 'trace_hash': 2231043265919552028}
• ec_padic •

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

  
  
  • id: 243553
    {'lmfdb_iso': '6240.v', 'p': 11, 'prec': 20, 'unit': 29388432966694612598, 'val': 1}
  • id: 243554
    {'lmfdb_iso': '6240.v', 'p': 17, 'prec': 20, 'unit': 204850815735373901481536, 'val': 1}
  • id: 243555
    {'lmfdb_iso': '6240.v', 'p': 19, 'prec': 20, 'unit': 25527464595443255953357, 'val': 2}
  • id: 243558
    {'lmfdb_iso': '6240.v', 'p': 23, 'prec': 20, 'unit': 9138325393739153599224890, 'val': 1}
  • id: 243551
    {'lmfdb_iso': '6240.v', 'p': 29, 'prec': 20, 'unit': 3302397401021644127495022955, 'val': 1}
  • id: 243547
    {'lmfdb_iso': '6240.v', 'p': 37, 'prec': 20, 'unit': 559276260221566621539996893479, 'val': 1}
  • id: 243549
    {'lmfdb_iso': '6240.v', 'p': 41, 'prec': 20, 'unit': 268844729876300132029503968033, 'val': 1}
  • id: 243550
    {'lmfdb_iso': '6240.v', 'p': 43, 'prec': 20, 'unit': 502666428312824016709591783534, 'val': 1}
  • id: 243556
    {'lmfdb_iso': '6240.v', 'p': 53, 'prec': 20, 'unit': 411182492729724193622577979521918, 'val': 1}
  • id: 243560
    {'lmfdb_iso': '6240.v', 'p': 59, 'prec': 20, 'unit': 84529751130950938820288629743237, 'val': 1}
  • id: 243561
    {'lmfdb_iso': '6240.v', 'p': 61, 'prec': 20, 'unit': 6451748123159822524253600061428109, 'val': 1}
  • id: 243546
    {'lmfdb_iso': '6240.v', 'p': 67, 'prec': 20, 'unit': 275379565157506807149727623050127, 'val': 2}
  • id: 243548
    {'lmfdb_iso': '6240.v', 'p': 71, 'prec': 20, 'unit': 48192431737312754565203835010889108, 'val': 1}
  • id: 243557
    {'lmfdb_iso': '6240.v', 'p': 73, 'prec': 20, 'unit': 194224696229184024275501160837252742, 'val': 1}
  • id: 243552
    {'lmfdb_iso': '6240.v', 'p': 79, 'prec': 20, 'unit': 308597382359131613267558717032909031, 'val': 1}
  • id: 243545
    {'lmfdb_iso': '6240.v', 'p': 83, 'prec': 20, 'unit': 1590330145377839630486330764785864241, 'val': 1}
  • id: 243559
    {'lmfdb_iso': '6240.v', 'p': 89, 'prec': 20, 'unit': 10877083151631366529593285137903255812, 'val': 1}
  • id: 243544
    {'lmfdb_iso': '6240.v', 'p': 97, 'prec': 20, 'unit': 12420265233116365562974171983890327347, '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: 39332
    {'Ciso': '6240l', 'Clabel': '6240l2', 'Cnumber': 2, 'abc_quality': 1.1653240287550397, 'absD': 12300387840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -25625841, -49938972705], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 215040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5707128594741168053248318858', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [454357982636417669333824, 3003024375], 'lmfdb_iso': '6240.v', 'lmfdb_label': '6240.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -25625841, 49938972705], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0-4.c.1.4', '52.12.0-4.c.1.1', '120.24.0.?', '156.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3144531184154192992277115905', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 160], [5, 6, 1248], [7, 2, 2080], [13, 14, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997643', 'prec': 100}, 'szpiro_ratio': 7.185357514545842, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 39333
    {'Ciso': '6240l', 'Clabel': '6240l3', 'Cnumber': 3, 'abc_quality': 1.0454650055726047, 'absD': 128666401340286251520, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -1711496, -667563336], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 215040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5707128594741168053248318858', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [1082883335268084577352, 251301565117746585], 'lmfdb_iso': '6240.v', 'lmfdb_label': '6240.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1711496, 667563336], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '40.12.0-4.c.1.2', '52.12.0-4.c.1.2', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.82861327960385482480692789763', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 65], [3, 4, 160], [5, 6, 1248], [7, 2, 2080], [13, 14, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0508524740541578232619077947', 'prec': 100}, 'szpiro_ratio': 6.256310087218601, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 39331
    {'Ciso': '6240l', 'Clabel': '6240l1', 'Cnumber': 1, 'abc_quality': 1.1080048293660931, 'absD': 36938364505473600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -1601646, -780664896], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 107520, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2241392691941441506162158251', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [7099759044484031233216, 577161945398025], 'lmfdb_iso': '6240.v', 'lmfdb_label': '6240.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1601646, 780664896], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '40.12.0-2.a.1.1', '52.12.0-2.a.1.1', '120.24.0.?', '156.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6572265592077096496138557953', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 160], [5, 6, 1248], [7, 2, 2080], [13, 14, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997644', 'prec': 100}, 'szpiro_ratio': 6.233537005800395, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 39334
    {'Ciso': '6240l', 'Clabel': '6240l4', 'Cnumber': 4, 'abc_quality': 1.0433838995113014, 'absD': 130439455136936824320, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -1492296, -891720756], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 215040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5707128594741168053248318858', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [-717825640026599866952, 254764560814329735], 'lmfdb_iso': '6240.v', 'lmfdb_label': '6240.v4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1492296, 891720756], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.1', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3144531184154192992277115905', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 4, 160], [5, 6, 1248], [7, 2, 2080], [13, 14, 480]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0508524740541578232619077947', 'prec': 100}, 'szpiro_ratio': 6.2639905940577805, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}