Elliptic curve isogeny class data - 15730.n

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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, 2, 1, -1, -2, 4, -1, 1, 1, 0, 2, 1, -4, -2, 1, -2, -1, -6, -1], 'aplist': [-1, 2, -1, 4, 0, 1, -2, -6, 6, -2, -6, -2, -10, 10, -12, 2, 10, -2, -12, 10, -10, 4, 0, -14, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 15730, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '15730.n', 'trace_hash': 636841995705835563}
• ec_padic •

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

  
  
  • id: 709747
    {'lmfdb_iso': '15730.n', 'p': 7, 'prec': 20, 'unit': 6164206149969866, 'val': 1}
  • id: 709752
    {'lmfdb_iso': '15730.n', 'p': 17, 'prec': 20, 'unit': 116145726869820728707566, 'val': 1}
  • id: 709753
    {'lmfdb_iso': '15730.n', 'p': 19, 'prec': 20, 'unit': 771556057032268795460444, 'val': 1}
  • id: 709757
    {'lmfdb_iso': '15730.n', 'p': 23, 'prec': 20, 'unit': 4385448686100301175330767, 'val': 1}
  • id: 709750
    {'lmfdb_iso': '15730.n', 'p': 29, 'prec': 20, 'unit': 1871487441811555057713066130, 'val': 1}
  • id: 709762
    {'lmfdb_iso': '15730.n', 'p': 31, 'prec': 20, 'unit': 10390560853572465982167541847, 'val': 1}
  • id: 709746
    {'lmfdb_iso': '15730.n', 'p': 37, 'prec': 20, 'unit': 443727075771929228988552048917, 'val': 1}
  • id: 709748
    {'lmfdb_iso': '15730.n', 'p': 41, 'prec': 20, 'unit': 3970448334736350317596835885490, 'val': 1}
  • id: 709749
    {'lmfdb_iso': '15730.n', 'p': 43, 'prec': 20, 'unit': 3289589515030338024086923698847, 'val': 1}
  • id: 709760
    {'lmfdb_iso': '15730.n', 'p': 47, 'prec': 20, 'unit': 29969538590434906491995633316401, 'val': 1}
  • id: 709754
    {'lmfdb_iso': '15730.n', 'p': 53, 'prec': 20, 'unit': 313556432395347123678793924431584, 'val': 1}
  • id: 709755
    {'lmfdb_iso': '15730.n', 'p': 59, 'prec': 20, 'unit': 3037481748633986523349534882327058, 'val': 1}
  • id: 709761
    {'lmfdb_iso': '15730.n', 'p': 61, 'prec': 20, 'unit': 3280282921656741238606008002428317, 'val': 1}
  • id: 709745
    {'lmfdb_iso': '15730.n', 'p': 67, 'prec': 20, 'unit': 45228122518163267175037619338885255, 'val': 1}
  • id: 709759
    {'lmfdb_iso': '15730.n', 'p': 71, 'prec': 20, 'unit': 96992681665827839443401116626124065, 'val': 1}
  • id: 709756
    {'lmfdb_iso': '15730.n', 'p': 73, 'prec': 20, 'unit': 222323546308405469501935979733866712, 'val': 1}
  • id: 709751
    {'lmfdb_iso': '15730.n', 'p': 79, 'prec': 20, 'unit': 996154884612926588705272156961287352, 'val': 1}
  • id: 709758
    {'lmfdb_iso': '15730.n', 'p': 89, 'prec': 20, 'unit': 9042377436266454704342497912836324787, 'val': 1}
  • id: 709744
    {'lmfdb_iso': '15730.n', 'p': 97, 'prec': 20, 'unit': 54760399271863608828076847006756981194, '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: 103576
    {'Ciso': '15730i', 'Clabel': '15730i1', 'Cnumber': 1, 'abc_quality': 0.9795846641235626, 'absD': 18424234400000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [1, 1, 0, -101763, 12450893], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 15730, 'degree': 112000, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5558985470821955401731969532', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [65787589563409, 10400000], 'lmfdb_iso': '15730.n', 'lmfdb_label': '15730.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -841, -9737], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '88.12.0.?', '130.6.0.?', '260.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2044254564541615790403620964', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7865], [5, 6, 3146], [11, 62, 130], [13, 14, 1210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35695091068301026814222516422', 'prec': 103}, 'szpiro_ratio': 4.781462279668547, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 103577
    {'Ciso': '15730i', 'Clabel': '15730i2', 'Cnumber': 2, 'abc_quality': 0.9882415148070729, 'absD': 46780282656250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [1, 1, 0, -92083, 14927037], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 15730, 'degree': 224000, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9024721373621681948818130139', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [-48743122863889, 26406250000], 'lmfdb_iso': '15730.n', 'lmfdb_label': '15730.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -761, -11561], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '88.12.0.?', '260.12.0.?', '520.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1022127282270807895201810482', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [5, 6, 3146], [11, 62, 130], [13, 14, 1210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70352450096298292285084122492', 'prec': 103}, 'szpiro_ratio': 4.81880192262283, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}