Elliptic curve isogeny class data - 65520.cs

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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, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, 1, -1, 0, 1, 0, -2, -6, -6, -8, -10, 12, 4, 0, 12, 6, 2, 4, -6, -10, 16, 0, 12, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 65520, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '65520.cs', 'trace_hash': 621616059147674881}
• ec_padic •

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

  
  
  • id: 3343890
    {'lmfdb_iso': '65520.cs', 'p': 19, 'prec': 20, 'unit': 1014245773331896894252009, 'val': 1}
  • id: 3343893
    {'lmfdb_iso': '65520.cs', 'p': 23, 'prec': 20, 'unit': 46212132861687054498644466, 'val': 1}
  • id: 3343888
    {'lmfdb_iso': '65520.cs', 'p': 29, 'prec': 20, 'unit': 744711187756146486967672221, 'val': 1}
  • id: 3343897
    {'lmfdb_iso': '65520.cs', 'p': 31, 'prec': 20, 'unit': 14104552673242434387264314164, 'val': 1}
  • id: 3343884
    {'lmfdb_iso': '65520.cs', 'p': 37, 'prec': 20, 'unit': 462652753432434260537662145425, 'val': 1}
  • id: 3343886
    {'lmfdb_iso': '65520.cs', 'p': 41, 'prec': 20, 'unit': 432423010002436763574895523191, 'val': 1}
  • id: 3343887
    {'lmfdb_iso': '65520.cs', 'p': 43, 'prec': 20, 'unit': 578575527727016511370498830296, 'val': 1}
  • id: 3343891
    {'lmfdb_iso': '65520.cs', 'p': 53, 'prec': 20, 'unit': 340718612352917814177622621689561, 'val': 1}
  • id: 3343895
    {'lmfdb_iso': '65520.cs', 'p': 59, 'prec': 20, 'unit': 2765835458959390680043349709447067, 'val': 1}
  • id: 3343896
    {'lmfdb_iso': '65520.cs', 'p': 61, 'prec': 20, 'unit': 6203784440293094133704895060239573, 'val': 1}
  • id: 3343883
    {'lmfdb_iso': '65520.cs', 'p': 67, 'prec': 20, 'unit': 2928763863256216172063627266503254, 'val': 1}
  • id: 3343885
    {'lmfdb_iso': '65520.cs', 'p': 71, 'prec': 20, 'unit': 98681682895452886882518894309727671, 'val': 1}
  • id: 3343892
    {'lmfdb_iso': '65520.cs', 'p': 73, 'prec': 20, 'unit': 54180479989552743679683650694791118, 'val': 1}
  • id: 3343889
    {'lmfdb_iso': '65520.cs', 'p': 79, 'prec': 20, 'unit': 715556211459445479005789391326512343, 'val': 1}
  • id: 3343894
    {'lmfdb_iso': '65520.cs', 'p': 89, 'prec': 20, 'unit': 10365954680380341761822536422509861231, 'val': 1}
  • id: 3343882
    {'lmfdb_iso': '65520.cs', 'p': 97, 'prec': 20, 'unit': 38042559411172733758060524240270087973, '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: 433702
    {'Ciso': '65520dr', 'Clabel': '65520dr4', 'Cnumber': 4, 'abc_quality': 0.9716236650013821, 'absD': 21636066816000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -2112267, -1181581126], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 65520, 'degree': 995328, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2531712709452058250088586157', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [349046010201856969, 7245875000], 'lmfdb_iso': '65520.cs', 'lmfdb_label': '65520.cs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14669, -685008], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.3', '56.6.0.a.1', '168.48.0.?', '260.6.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1018981715824315660336948244', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 6, 208], [5, 6, 13104], [7, 8, 9360], [13, 14, 5040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0107179460512056698940038758', 'prec': 100}, 'szpiro_ratio': 4.9867329051234845, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 433701
    {'Ciso': '65520dr', 'Clabel': '65520dr3', 'Cnumber': 3, 'abc_quality': 0.9299956493074025, 'absD': 36534995288064000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -136587, -17115334], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 65520, 'degree': 497664, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9065976806652331703002425550', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [94376601570889, 12235496000], 'lmfdb_iso': '65520.cs', 'lmfdb_label': '65520.cs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -949, -9984], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.3', '56.6.0.d.1', '130.6.0.?', '168.48.0.?', '390.24.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0509490857912157830168474122', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 585], [3, 6, 208], [5, 6, 13104], [7, 8, 9360], [13, 14, 5040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66414435577123301518538781508', 'prec': 103}, 'szpiro_ratio': 4.245922821465191, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 433700
    {'Ciso': '65520dr', 'Clabel': '65520dr2', 'Cnumber': 2, 'abc_quality': 0.9448924965191774, 'absD': 5044471055769600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -43707, 832106], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 65520, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7038651266111509793112359972', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3092354182009, 1689383150], 'lmfdb_iso': '65520.cs', 'lmfdb_label': '65520.cs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -304, 456], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.9', '56.6.0.a.1', '168.48.0.?', '260.6.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3672993905274771886778982748', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 2, 560], [5, 6, 13104], [7, 8, 9360], [13, 14, 5040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46141180171715082419638125728', 'prec': 103}, 'szpiro_ratio': 3.9376878008743987, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 433699
    {'Ciso': '65520dr', 'Clabel': '65520dr1', 'Cnumber': 1, 'abc_quality': 0.895954553441358, 'absD': 6429002711040, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -33627, 2370314], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 65520, 'degree': 165888, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3572915363311783246026199365', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1408317602329, 2153060], 'lmfdb_iso': '65520.cs', 'lmfdb_label': '65520.cs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -234, 1352], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.9', '56.6.0.d.1', '130.6.0.?', '168.48.0.?', '390.24.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68364969526373859433894913740', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 585], [3, 2, 560], [5, 6, 13104], [7, 8, 9360], [13, 14, 5040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11483821143717816948776519658', 'prec': 103}, 'szpiro_ratio': 3.8667654368095636, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}