Elliptic curve isogeny class data - 2550.d

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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, -1, -1, 1, 0, 1, 0, -1, 1, 0, 4, -1, -2, 0, 0, 1, -1, -1, -4, 0], 'aplist': [-1, -1, 0, 0, 4, -2, -1, -4, -4, 2, -4, 6, -10, 8, 0, -6, -8, 10, 8, 8, 2, 4, -4, -14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 2550, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2550.d', 'trace_hash': 12408190999987839}
• ec_padic •

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

  
  
  • id: 79314
    {'lmfdb_iso': '2550.d', 'p': 11, 'prec': 20, 'unit': 46820051736995722712, 'val': 1}
  • id: 79312
    {'lmfdb_iso': '2550.d', 'p': 13, 'prec': 20, 'unit': 833169699385561403119, 'val': 1}
  • id: 79315
    {'lmfdb_iso': '2550.d', 'p': 19, 'prec': 20, 'unit': 240231097635156656378062, 'val': 1}
  • id: 79318
    {'lmfdb_iso': '2550.d', 'p': 23, 'prec': 20, 'unit': 31642217972783411149710785, 'val': 1}
  • id: 79311
    {'lmfdb_iso': '2550.d', 'p': 29, 'prec': 20, 'unit': 3379385159739321880958329034, 'val': 1}
  • id: 79322
    {'lmfdb_iso': '2550.d', 'p': 31, 'prec': 20, 'unit': 2440913622113522891951854746, 'val': 1}
  • id: 79307
    {'lmfdb_iso': '2550.d', 'p': 37, 'prec': 20, 'unit': 133087582592213513468251431751, 'val': 1}
  • id: 79309
    {'lmfdb_iso': '2550.d', 'p': 41, 'prec': 20, 'unit': 1737722352221282101715934252940, 'val': 1}
  • id: 79310
    {'lmfdb_iso': '2550.d', 'p': 43, 'prec': 20, 'unit': 1883721451538757622406204289335, 'val': 1}
  • id: 79316
    {'lmfdb_iso': '2550.d', 'p': 53, 'prec': 20, 'unit': 55266751132498924208065897440442, 'val': 1}
  • id: 79320
    {'lmfdb_iso': '2550.d', 'p': 59, 'prec': 20, 'unit': 1620493129547645129371598140952993, 'val': 1}
  • id: 79321
    {'lmfdb_iso': '2550.d', 'p': 61, 'prec': 20, 'unit': 2839751336330776027630514229286884, 'val': 1}
  • id: 79306
    {'lmfdb_iso': '2550.d', 'p': 67, 'prec': 20, 'unit': 23596292234904038462917580978078220, 'val': 1}
  • id: 79308
    {'lmfdb_iso': '2550.d', 'p': 71, 'prec': 20, 'unit': 110762569157325874056747631245221488, 'val': 1}
  • id: 79317
    {'lmfdb_iso': '2550.d', 'p': 73, 'prec': 20, 'unit': 213735345055220058618568940056105697, 'val': 1}
  • id: 79313
    {'lmfdb_iso': '2550.d', 'p': 79, 'prec': 20, 'unit': 102532260233689236501270819407804517, 'val': 1}
  • id: 79305
    {'lmfdb_iso': '2550.d', 'p': 83, 'prec': 20, 'unit': 2168807918985047805824352726307082978, 'val': 1}
  • id: 79319
    {'lmfdb_iso': '2550.d', 'p': 89, 'prec': 20, 'unit': 4857445286382480803890137107201146835, 'val': 1}
  • id: 79304
    {'lmfdb_iso': '2550.d', 'p': 97, 'prec': 20, 'unit': 3500150488685803669888600266000693872, '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: 14898
    {'Ciso': '2550a', 'Clabel': '2550a3', 'Cnumber': 3, 'abc_quality': 1.0096978115255335, 'absD': 26894531250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -4650, -123750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2550, 'degree': 3072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88009339708413742428479991016', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [711882749089, 1721250], 'lmfdb_iso': '2550.d', 'lmfdb_label': '2550.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -186, -990], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '40.12.0-4.c.1.1', '120.24.0.?', '136.12.0.?', '340.12.0.?', '408.24.0.?', '680.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8230752486000770207559839242', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 425], [3, 4, 850], [5, 18, 102], [17, 18, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.075374440867087236984420243547', 'prec': 107}, 'szpiro_ratio': 4.710418091374451, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 14899
    {'Ciso': '2550a', 'Clabel': '2550a4', 'Cnumber': 4, 'abc_quality': 0.9394020799048373, 'absD': 39150468750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -4150, 100750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2550, 'degree': 3072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88009339708413742428479991016', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [506071034209, 2505630], 'lmfdb_iso': '2550.d', 'lmfdb_label': '2550.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -166, 806], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.2', '120.24.0.?', '136.12.0.?', '408.24.0.?', '680.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8230752486000770207559839242', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 850], [5, 18, 102], [17, 18, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.075374440867087236984420243547', 'prec': 107}, 'szpiro_ratio': 4.666914424730677, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 14897
    {'Ciso': '2550a', 'Clabel': '2550a2', 'Cnumber': 2, 'abc_quality': 1.067452515474607, 'absD': 4064062500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -400, -500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2550, 'degree': 1536, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53351980680416476957618384943', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [454756609, 260100], 'lmfdb_iso': '2550.d', 'lmfdb_label': '2550.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16, -4], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '40.12.0-2.a.1.1', '120.24.0.?', '136.12.0.?', '340.12.0.?', '408.24.0.?', '680.24.0.?', '1020.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.91153762430003851037799196209', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 850], [5, 18, 102], [17, 18, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27119914941288541772419581718', 'prec': 107}, 'szpiro_ratio': 3.7726251166023985, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 14896
    {'Ciso': '2550a', 'Clabel': '2550a1', 'Cnumber': 1, 'abc_quality': 0.9196558505806328, 'absD': 63750000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, 100, 0], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2550, 'degree': 768, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18694621652419211486756778870', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [6967871, 4080], 'lmfdb_iso': '2550.d', 'lmfdb_label': '2550.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 4, 0], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0-4.c.1.4', '120.24.0.?', '136.12.0.?', '340.12.0.?', '408.24.0.?', '510.6.0.?', '680.24.0.?', '1020.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8230752486000770207559839242', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1275], [3, 4, 850], [5, 18, 102], [17, 18, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61777273969285807243281187791', 'prec': 107}, 'szpiro_ratio': 3.2399207240095773, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}