Elliptic curve isogeny class data - 7225.g

Formats: - HTML - YAML - JSON - 2025-09-20T12:00:13.313817

• 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, 0, -1, 0, 0, 4, -3, -3, 0, 0, 0, 2, 4, 0, -1, 0, -3, -4, 0], 'aplist': [1, 0, 0, 4, 0, 2, 0, -4, 4, -6, -4, -2, 6, -4, 0, -6, -12, 10, -4, 4, -6, -12, 4, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 7225, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7225.g', 'trace_hash': 1236456696760333188}
• ec_padic •

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

  
  
  • id: 292952
    {'lmfdb_iso': '7225.g', 'p': 7, 'prec': 20, 'unit': 164265644159290, 'val': 1}
  • id: 292956
    {'lmfdb_iso': '7225.g', 'p': 13, 'prec': 20, 'unit': 1030312866228715580246, 'val': 1}
  • id: 292948
    {'lmfdb_iso': '7225.g', 'p': 19, 'prec': 20, 'unit': 1548472504643079513263180, 'val': 1}
  • id: 292961
    {'lmfdb_iso': '7225.g', 'p': 23, 'prec': 20, 'unit': 14051361428284594500670721, 'val': 1}
  • id: 292955
    {'lmfdb_iso': '7225.g', 'p': 29, 'prec': 20, 'unit': 5654228974959686883553042749, 'val': 1}
  • id: 292966
    {'lmfdb_iso': '7225.g', 'p': 31, 'prec': 20, 'unit': 20508603862874314718542345307, 'val': 1}
  • id: 292951
    {'lmfdb_iso': '7225.g', 'p': 37, 'prec': 20, 'unit': 222812956704882521725367424419, 'val': 1}
  • id: 292953
    {'lmfdb_iso': '7225.g', 'p': 41, 'prec': 20, 'unit': 4326382068727863920667393815, 'val': 2}
  • id: 292954
    {'lmfdb_iso': '7225.g', 'p': 43, 'prec': 20, 'unit': 7613556204313627116622384327506, 'val': 1}
  • id: 292959
    {'lmfdb_iso': '7225.g', 'p': 53, 'prec': 20, 'unit': 417305877260695738384990918566804, 'val': 1}
  • id: 292964
    {'lmfdb_iso': '7225.g', 'p': 59, 'prec': 20, 'unit': 1118174521581310965893760014355900, 'val': 1}
  • id: 292965
    {'lmfdb_iso': '7225.g', 'p': 61, 'prec': 20, 'unit': 1766724994355792712040474643843906, 'val': 1}
  • id: 292950
    {'lmfdb_iso': '7225.g', 'p': 67, 'prec': 20, 'unit': 6466306386672935677648214705071570, 'val': 1}
  • id: 292963
    {'lmfdb_iso': '7225.g', 'p': 71, 'prec': 20, 'unit': 128524430074378826800312781073795058, 'val': 1}
  • id: 292960
    {'lmfdb_iso': '7225.g', 'p': 73, 'prec': 20, 'unit': 5840947025009646122569241446588722, 'val': 1}
  • id: 292957
    {'lmfdb_iso': '7225.g', 'p': 79, 'prec': 20, 'unit': 507100836297584874066243476460584777, 'val': 1}
  • id: 292958
    {'lmfdb_iso': '7225.g', 'p': 83, 'prec': 20, 'unit': 2422442403957255689269973103578099025, 'val': 1}
  • id: 292962
    {'lmfdb_iso': '7225.g', 'p': 89, 'prec': 20, 'unit': 7434244239177833496650226643833166330, 'val': 1}
  • id: 292949
    {'lmfdb_iso': '7225.g', 'p': 97, 'prec': 20, 'unit': 3995920187755020829203843843518738688, '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: 46350
    {'Ciso': '7225b', 'Clabel': '7225b3', 'Cnumber': 3, 'abc_quality': 1.0313050753900588, 'absD': 6411541765625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 5440, 'ainvs': [1, -1, 0, -655217, -203975184], 'analytic_rank': 1, 'bad_primes': [5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7225, 'degree': 36864, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8446895073038147464677139713', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '7225.g', 'lmfdb_label': '7225.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '20.12.0-4.c.1.1', '32.48.0.f.2', '34.6.0.a.1', '40.24.0-8.o.1.6', '68.12.0.g.1', '80.48.0.?', '136.48.0.?', '160.96.0.?', '272.192.7.?', '340.24.0.?', '544.384.21.?', '680.96.0.?', '1088.768.53.?', '1360.384.7.?', '2720.768.21.?', '5440.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '31.617067032596324405617617506', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 14, 289], [17, 162, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300425', 'prec': 107}, 'szpiro_ratio': 5.828925811803892, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 46349
    {'Ciso': '7225b', 'Clabel': '7225b2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 108996210015625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 2720, 'ainvs': [1, -1, 0, -41092, -3156309], 'analytic_rank': 1, 'bad_primes': [5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7225, 'degree': 18432, 'elladic_images': ['16.48.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4981159170238420917590979106', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '7225.g', 'lmfdb_label': '7225.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.f.1', '16.48.0.c.2', '20.24.0-4.a.1.2', '40.48.0-8.f.1.4', '68.24.0.b.1', '80.96.0.?', '136.96.3.?', '272.384.21.?', '340.48.0.?', '544.768.53.?', '680.192.3.?', '1360.768.21.?', '2720.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.808533516298162202808808753', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 14, 289], [17, 162, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906495', 'prec': 107}, 'szpiro_ratio': 4.893960882138798, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 46351
    {'Ciso': '7225b', 'Clabel': '7225b4', 'Cnumber': 4, 'abc_quality': 1.1807067659885138, 'absD': 31499904694515625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 5440, 'ainvs': [1, -1, 0, -4967, -8538934], 'analytic_rank': 1, 'bad_primes': [5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7225, 'degree': 36864, 'elladic_images': ['16.48.0.76'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8446895073038147464677139713', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '7225.g', 'lmfdb_label': '7225.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.t.1', '16.48.0.m.2', '40.48.0-8.t.1.3', '80.96.0.?', '136.48.1.?', '272.192.9.?', '340.24.0.?', '544.384.21.?', '680.96.1.?', '1088.768.53.?', '1360.384.9.?', '2720.768.21.?', '5440.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9042667581490811014044043766', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 14, 289], [17, 162, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300425', 'prec': 107}, 'szpiro_ratio': 5.114483133117169, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 46348
    {'Ciso': '7225b', 'Clabel': '7225b1', 'Cnumber': 1, 'abc_quality': 1.024323072883995, 'absD': 6411541765625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 5440, 'ainvs': [1, -1, 0, -4967, 58816], 'analytic_rank': 1, 'bad_primes': [5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7225, 'degree': 9216, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1515423267438694370504818499', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [35937, 17], 'lmfdb_iso': '7225.g', 'lmfdb_label': '7225.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 0], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '20.12.0-4.c.1.2', '32.48.0.f.2', '34.6.0.a.1', '40.24.0-8.o.1.8', '68.12.0.g.1', '80.48.0.?', '136.48.0.?', '160.96.0.?', '272.192.7.?', '340.24.0.?', '544.384.21.?', '680.96.0.?', '1088.768.53.?', '1360.384.7.?', '2720.768.21.?', '5440.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9042667581490811014044043766', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 14, 289], [17, 162, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'szpiro_ratio': 4.180547614341232, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}