Elliptic curve isogeny class data - 17328.u

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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, -2, 0, 0, 0, 1, 0, 0, 0, -6, 0, -2, 0, -6, 0, 0, 0], 'aplist': [0, 1, -2, 0, 0, -6, -6, 0, -4, -2, 8, 10, 2, 4, -12, 6, -12, -2, -4, 0, 10, 0, -16, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 17328, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '17328.u', 'trace_hash': 1298070608067427613}
• lmfdb_iso 17328.u 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: 114093
    {'Ciso': '17328bg', 'Clabel': '17328bg3', 'Cnumber': 3, 'abc_quality': 0.9811108308373943, 'absD': 296565190078464, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 1, 0, -586384, 172633556], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17328, 'degree': 138240, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9203580079403394457523134675', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4], 'jinv': [115714886617, 1539], 'lmfdb_iso': '17328.u', 'lmfdb_label': '17328.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -102, 385], 'min_quad_twist_disc': 76, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.z.1.9', '76.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 361], [3, 4, 5776], [19, 200, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236990', 'prec': 107}, 'szpiro_ratio': 5.272374878566319, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 114092
    {'Ciso': '17328bg', 'Clabel': '17328bg2', 'Cnumber': 2, 'abc_quality': 0.9072668607940285, 'absD': 626082067943424, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 228, 'ainvs': [0, 1, 0, -37664, 2530356], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17328, 'degree': 69120, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5737844176603667910436974068', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [30664297, 3249], 'lmfdb_iso': '17328.u', 'lmfdb_label': '17328.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7, 5], 'min_quad_twist_disc': 76, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.b.1.3', '76.24.0.?', '228.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 361], [3, 4, 5776], [19, 200, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59158225248279874837804843060', 'prec': 107}, 'szpiro_ratio': 4.428551218648667, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 114091
    {'Ciso': '17328bg', 'Clabel': '17328bg1', 'Cnumber': 1, 'abc_quality': 0.9626725733934746, 'absD': 10983895928832, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 1, 0, -8784, -276780], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17328, 'degree': 34560, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2272108273803941363350813461', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4], 'jinv': [389017, 57], 'lmfdb_iso': '17328.u', 'lmfdb_label': '17328.u3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2, -1], 'min_quad_twist_disc': 76, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.z.1.1', '114.6.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1083], [3, 4, 5776], [19, 200, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93815584276277140308666449130', 'prec': 107}, 'szpiro_ratio': 3.981092621034983, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 114094
    {'Ciso': '17328bg', 'Clabel': '17328bg4', 'Cnumber': 4, 'abc_quality': 0.9747386105988611, 'absD': 75338542175858688, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 1, 0, 48976, 12545940], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17328, 'degree': 138240, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9203580079403394457523134675', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 390963], 'lmfdb_iso': '17328.u', 'lmfdb_label': '17328.u4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 8, 29], 'min_quad_twist_disc': 76, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0-4.c.1.5', '12.12.0.g.1', '24.24.0-12.g.1.6', '76.12.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1083], [3, 4, 5776], [19, 200, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236990', 'prec': 107}, 'szpiro_ratio': 4.734629385904011, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}