Elliptic curve isogeny class data - 4900.i

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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, 0, 0, 0, 0, -2, 0, 6, 0, -2, 0, 0, 0, 6, 0, 8, 0], 'aplist': [0, -1, 0, 0, 6, -2, 6, 8, -3, 3, 2, -8, -3, -5, 0, -12, 0, -1, 7, 0, 10, -4, -3, -3, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 4900, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4900.i', 'trace_hash': 2001321315712291955}
• lmfdb_iso 4900.i 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
  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: 30312
    {'Ciso': '4900b', 'Clabel': '4900b1', 'Cnumber': 1, 'abc_quality': 0.9234438251640616, 'absD': 1200500000000, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 1260, 'ainvs': [0, -1, 0, -24908, 1522312], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 10368, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2541065888474374615195340403', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-177953104, 125], 'lmfdb_iso': '4900.i', 'lmfdb_label': '4900.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -996, 11780], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.b.1', '12.8.0-3.a.1.3', '15.8.0-3.a.1.2', '20.2.0.a.1', '36.24.0-9.b.1.4', '45.24.0-9.b.1.1', '60.16.0-60.a.1.7', '63.36.0.h.2', '180.48.0.?', '252.72.0.?', '315.72.0.?', '1260.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 196], [7, 20, 100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66134720409468070042745128843', 'prec': 107}, 'szpiro_ratio': 4.941006968716311, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 30313
    {'Ciso': '4900b', 'Clabel': '4900b2', 'Cnumber': 2, 'abc_quality': 1.0096573935852708, 'absD': 18757812500000000, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 1260, 'ainvs': [0, -1, 0, 24092, 6422312], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 31104, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8034127331814923072171566588', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [161017136, 1953125], 'lmfdb_iso': '4900.i', 'lmfdb_label': '4900.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 964, 51764], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.b.1', '12.8.0-3.a.1.4', '15.8.0-3.a.1.1', '20.2.0.a.1', '36.24.0-9.b.1.3', '45.24.0-9.b.1.2', '60.16.0-60.a.1.6', '63.36.0.h.1', '180.48.0.?', '252.72.0.?', '315.72.0.?', '1260.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 196], [7, 20, 100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11204105976062585472982866993', 'prec': 107}, 'szpiro_ratio': 5.281425508462137, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}