Elliptic curve isogeny class data - 8330.t

Formats: - HTML - YAML - JSON - 2025-10-02T13:30:08.620457

• 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, 1, 0, 0, 1, -3, 1, -4, 0, -2, 0, 0, 1, -1, -3, 8, 1], 'aplist': [1, 0, 1, 0, -4, -2, -1, 8, 0, -2, 8, -2, -2, 4, 8, -2, 0, -2, 4, 0, 14, 8, -16, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 8330, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '8330.t', 'trace_hash': 454155414975251278}
• lmfdb_iso 8330.t does not appear in ec_padic
• 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: 53619
    {'Ciso': '8330v', 'Clabel': '8330v3', 'Cnumber': 3, 'abc_quality': 1.0393992622157648, 'absD': 11900196350000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -67671337, -214250060951], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8330, 'degree': 516096, 'elladic_images': ['8.24.0.61'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8781517811937268716826172083', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [291306206119284545407569, 101150000000], 'lmfdb_iso': '8330.t', 'lmfdb_label': '8330.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1381048, 625030331], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.p.1.6', '56.48.0-56.bp.1.8'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [5, 6, 1666], [7, 32, 85], [17, 18, 490]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9051967066660702191299408366', 'prec': 100}, 'szpiro_ratio': 7.278123361584442, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 53620
    {'Ciso': '8330v', 'Clabel': '8330v4', 'Cnumber': 4, 'abc_quality': 1.0332794587997371, 'absD': 6305532224352248988800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -5014057, -2018400919], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8330, 'degree': 516096, 'elladic_images': ['8.24.0.105'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8781517811937268716826172083', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [118495863754334673489, 53596139570691200], 'lmfdb_iso': '8330.t', 'lmfdb_label': '8330.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -102328, 5913787], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.k.1.3', '28.12.0-4.c.1.1', '56.48.0-56.v.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [5, 6, 1666], [7, 32, 85], [17, 18, 490]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9051967066660702191299408366', 'prec': 100}, 'szpiro_ratio': 6.413304806246025, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 53618
    {'Ciso': '8330v', 'Clabel': '8330v2', 'Cnumber': 2, 'abc_quality': 1.0689142172035648, 'absD': 4930375109847040000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -4230057, -3345869719], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8330, 'degree': 258048, 'elladic_images': ['8.24.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5315781909137542169740011475', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [71149857462630609489, 41907496960000], 'lmfdb_iso': '8330.t', 'lmfdb_label': '8330.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -86328, 9779387], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.a.1.3', '28.24.0-28.b.1.1', '56.48.0-56.d.1.2'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [5, 6, 1666], [7, 32, 85], [17, 18, 490]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5586231163860975644213247758', 'prec': 100}, 'szpiro_ratio': 6.356801563396955, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 53617
    {'Ciso': '8330v', 'Clabel': '8330v1', 'Cnumber': 1, 'abc_quality': 1.0568885124248768, 'absD': 1597217316850892800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -215977, -71986071], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8330, 'degree': 129024, 'elladic_images': ['8.24.0.51'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1850046006337815622653850868', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [-9470133471933009, 13576123187200], 'lmfdb_iso': '8330.t', 'lmfdb_label': '8330.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4408, 211131], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.p.1.8', '14.6.0.b.1', '28.24.0-28.g.1.2', '56.48.0-56.bn.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [5, 6, 1666], [7, 32, 85], [17, 18, 490]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2120495261061249097127087151', 'prec': 100}, 'szpiro_ratio': 5.506281662349775, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}