Elliptic curve isogeny class data - 4400.e

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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, -2, 0, 0, 0, -4, 0, 1, 0, 1, 0, 4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -2, 0, -4, 1, 4, 0, 4, -6, -6, -8, -2, 6, 8, 6, 6, 12, 2, -10, 12, 16, -8, 0, 6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 4400, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '4400.e', 'trace_hash': 521309441253088293}
• ec_padic •

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

  
  
  • id: 156568
    {'lmfdb_iso': '4400.e', 'p': 7, 'prec': 20, 'unit': 5027888571184881, 'val': 1}
  • id: 156572
    {'lmfdb_iso': '4400.e', 'p': 13, 'prec': 20, 'unit': 1284158208903408644977, 'val': 1}
  • id: 156575
    {'lmfdb_iso': '4400.e', 'p': 19, 'prec': 20, 'unit': 417524761571815503166273, 'val': 1}
  • id: 156578
    {'lmfdb_iso': '4400.e', 'p': 23, 'prec': 20, 'unit': 71504136025889399882380242, 'val': 1}
  • id: 156571
    {'lmfdb_iso': '4400.e', 'p': 29, 'prec': 20, 'unit': 140263386299550414897466124, 'val': 1}
  • id: 156583
    {'lmfdb_iso': '4400.e', 'p': 31, 'prec': 20, 'unit': 21168298453981532766415948766, 'val': 1}
  • id: 156567
    {'lmfdb_iso': '4400.e', 'p': 37, 'prec': 20, 'unit': 407180557564570090023751472313, 'val': 1}
  • id: 156569
    {'lmfdb_iso': '4400.e', 'p': 41, 'prec': 20, 'unit': 49741808487682525259376647213, 'val': 1}
  • id: 156570
    {'lmfdb_iso': '4400.e', 'p': 43, 'prec': 20, 'unit': 10551173344623487113569828057107, 'val': 1}
  • id: 156581
    {'lmfdb_iso': '4400.e', 'p': 47, 'prec': 20, 'unit': 870489497335201212384230280090, 'val': 1}
  • id: 156576
    {'lmfdb_iso': '4400.e', 'p': 53, 'prec': 20, 'unit': 130233899118084495062646086244975, 'val': 1}
  • id: 156574
    {'lmfdb_iso': '4400.e', 'p': 59, 'prec': 20, 'unit': 1620080708467217607864336409615931, 'val': 1}
  • id: 156582
    {'lmfdb_iso': '4400.e', 'p': 61, 'prec': 20, 'unit': 7300336672238517915448099086216378, 'val': 1}
  • id: 156566
    {'lmfdb_iso': '4400.e', 'p': 67, 'prec': 20, 'unit': 9911630009115839358560862788786157, 'val': 1}
  • id: 156580
    {'lmfdb_iso': '4400.e', 'p': 71, 'prec': 20, 'unit': 1754408163583868186157109187191176, 'val': 2}
  • id: 156577
    {'lmfdb_iso': '4400.e', 'p': 73, 'prec': 20, 'unit': 76092482405339277950625656992080730, 'val': 1}
  • id: 156573
    {'lmfdb_iso': '4400.e', 'p': 79, 'prec': 20, 'unit': 672335215321129346690406591844353931, 'val': 1}
  • id: 156579
    {'lmfdb_iso': '4400.e', 'p': 89, 'prec': 20, 'unit': 833136089890604087670132073006890678, 'val': 1}
  • id: 156565
    {'lmfdb_iso': '4400.e', 'p': 97, 'prec': 20, 'unit': 52427782443753788772280138960091884825, '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
  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: 26951
    {'Ciso': '4400t', 'Clabel': '4400t4', 'Cnumber': 4, 'abc_quality': 0.9734387724171747, 'absD': 133100000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -177508, 28726488], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 20736, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5191692422224334026305820313', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154639330142416, 33275], 'lmfdb_iso': '4400.e', 'lmfdb_label': '4400.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7100, -232652], 'min_quad_twist_disc': -20, '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.1.8', '20.6.0.c.1', '44.6.0.a.1', '60.48.0-60.q.1.10', '132.48.0.?', '220.12.0.?', '330.24.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.91176087737768503070395567065', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 2, 400], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25235216563208634238538095038', 'prec': 103}, 'szpiro_ratio': 5.7065047352701574, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 26950
    {'Ciso': '4400t', 'Clabel': '4400t3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 2214451250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -11133, 442738], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 10368, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1725956519424607479219659706', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '4400.e', 'lmfdb_label': '4400.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0-6.a.1.4', '30.24.0.a.1', '44.6.0.b.1', '60.48.0-30.a.1.1', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.45588043868884251535197783533', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 2, 400], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13682763553876212414917559683', 'prec': 103}, 'szpiro_ratio': 4.716295468663709, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 26949
    {'Ciso': '4400t', 'Clabel': '4400t2', 'Cnumber': 2, 'abc_quality': 0.8781924989889901, 'absD': 687500000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -2508, 26488], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 6912, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96986309788837855693295941284', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [436334416, 171875], 'lmfdb_iso': '4400.e', 'lmfdb_label': '4400.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, -252], 'min_quad_twist_disc': -20, '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.1.2', '20.6.0.c.1', '44.6.0.a.1', '60.48.0-60.q.1.9', '132.48.0.?', '220.12.0.?', '330.24.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7352826321330550921118670120', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29695397870196850331224166808', 'prec': 107}, 'szpiro_ratio': 4.183361446995646, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 26948
    {'Ciso': '4400t', 'Clabel': '4400t1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 3781250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -1133, -14762], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 3456, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62328950760840590222434335211', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '4400.e', 'lmfdb_label': '4400.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0-6.a.1.10', '30.24.0.a.1', '44.6.0.b.1', '60.48.0-30.a.1.7', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3676413160665275460559335060', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702166', 'prec': 107}, 'szpiro_ratio': 3.8992675246699884, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}