Elliptic curve isogeny class data - 4900.n

Formats: - HTML - YAML - JSON - 2026-03-07T14:26:43.557731

• 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, 0, 0, 0, 0, -2, 0, -3, 0, 2, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 1, 0, 0, -3, 2, 3, 1, -3, -6, 7, 1, -6, 4, -9, -3, -9, 1, 7, 0, -1, -13, 12, -15, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 4900, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4900.n', 'trace_hash': 1778446553559287179}
• ec_padic •

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

  
  
  • id: 178936
    {'lmfdb_iso': '4900.n', 'p': 11, 'prec': 20, 'unit': 49178480677080318365, 'val': 1}
  • id: 178941
    {'lmfdb_iso': '4900.n', 'p': 13, 'prec': 20, 'unit': 450886921872719296472, 'val': 1}
  • id: 178943
    {'lmfdb_iso': '4900.n', 'p': 17, 'prec': 20, 'unit': 133959579304094929288774, 'val': 1}
  • id: 178944
    {'lmfdb_iso': '4900.n', 'p': 19, 'prec': 20, 'unit': 22183590148179962789761993, 'val': -1}
  • id: 178948
    {'lmfdb_iso': '4900.n', 'p': 23, 'prec': 20, 'unit': 40960584117486746200202393, 'val': 1}
  • id: 178940
    {'lmfdb_iso': '4900.n', 'p': 29, 'prec': 20, 'unit': 240720014866828874174889292, 'val': 1}
  • id: 178953
    {'lmfdb_iso': '4900.n', 'p': 31, 'prec': 20, 'unit': 10386010020854794035839444966, 'val': 1}
  • id: 178937
    {'lmfdb_iso': '4900.n', 'p': 37, 'prec': 20, 'unit': 19104423611853752253426994346203, 'val': -1}
  • id: 178938
    {'lmfdb_iso': '4900.n', 'p': 41, 'prec': 20, 'unit': 2028294699806651782517592796024, 'val': 1}
  • id: 178939
    {'lmfdb_iso': '4900.n', 'p': 43, 'prec': 20, 'unit': 2516074253906037612402196047627, 'val': 1}
  • id: 178950
    {'lmfdb_iso': '4900.n', 'p': 47, 'prec': 20, 'unit': 31563323861784710141819963081587, 'val': 1}
  • id: 178945
    {'lmfdb_iso': '4900.n', 'p': 53, 'prec': 20, 'unit': 386714730284230604411446330243309, 'val': 1}
  • id: 178946
    {'lmfdb_iso': '4900.n', 'p': 59, 'prec': 20, 'unit': 3772499723509578324963466732125415, 'val': 1}
  • id: 178951
    {'lmfdb_iso': '4900.n', 'p': 61, 'prec': 20, 'unit': 415554139096885055453363826602492171, 'val': -1}
  • id: 178935
    {'lmfdb_iso': '4900.n', 'p': 67, 'prec': 20, 'unit': 28705701539885848474941692636782705, 'val': 1}
  • id: 178947
    {'lmfdb_iso': '4900.n', 'p': 73, 'prec': 20, 'unit': 23264914537340173878219505274016036, 'val': 1}
  • id: 178942
    {'lmfdb_iso': '4900.n', 'p': 79, 'prec': 20, 'unit': 395110311934094092291554387442685169, 'val': 1}
  • id: 178952
    {'lmfdb_iso': '4900.n', 'p': 83, 'prec': 20, 'unit': 2440874322909752172252842303637492656, 'val': 1}
  • id: 178949
    {'lmfdb_iso': '4900.n', 'p': 89, 'prec': 20, 'unit': 9389622831325621623903153747005632218, 'val': 1}
  • id: 178934
    {'lmfdb_iso': '4900.n', 'p': 97, 'prec': 20, 'unit': 19293687902286010363122420396325528741, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 30320
    {'Ciso': '4900g', 'Clabel': '4900g2', 'Cnumber': 2, 'abc_quality': 0.9989714715999977, 'absD': 12250000, 'adelic_genus': 28, 'adelic_index': 864, 'adelic_level': 1260, 'ainvs': [0, 1, 0, -3558, 80513], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 1944, 'elladic_images': ['2.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59968417800966877718931665704', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [406749952, 1], 'lmfdb_iso': '4900.n', 'lmfdb_label': '4900.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -142, 701], 'min_quad_twist_disc': 5, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '9.12.0.b.1', '12.16.0.a.1', '14.6.0.a.1', '18.72.2.c.1', '36.144.6.i.2', '42.24.0.a.1', '63.36.0.h.1', '84.48.2.?', '105.8.0.?', '126.216.10.?', '140.12.0.?', '210.48.0.?', '252.432.28.?', '315.72.0.?', '420.96.2.?', '630.432.10.?', '1260.864.28.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.73643380344872148531512746750', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 14, 196], [7, 14, 100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76040219656991539743436584063', 'prec': 107}, 'szpiro_ratio': 4.253829134992108, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 30319
    {'Ciso': '4900g', 'Clabel': '4900g1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 12250000, 'adelic_genus': 28, 'adelic_index': 864, 'adelic_level': 1260, 'ainvs': [0, 1, 0, -58, 13], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 648, 'elladic_images': ['2.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.050378033675613931491694038574', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [1792, 1], 'lmfdb_iso': '4900.n', 'lmfdb_label': '4900.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2, 1], 'min_quad_twist_disc': 5, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '9.12.0.b.1', '12.16.0.a.2', '14.6.0.a.1', '18.72.2.c.2', '36.144.6.i.1', '42.24.0.a.1', '63.36.0.h.2', '84.48.2.?', '105.8.0.?', '126.216.10.?', '140.12.0.?', '210.48.0.?', '252.432.28.?', '315.72.0.?', '420.96.2.?', '630.432.10.?', '1260.864.28.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2093014103461644559453824025', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 14, 196], [7, 14, 100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3097083409039702431319884591', 'prec': 103}, 'szpiro_ratio': 2.8024185896232243, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}