Elliptic curve isogeny class data - 16245.j

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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, 0, -1, -1, 0, 4, -3, 0, -1, -4, 0, -2, 4, 0, -1, -2, 0, 0, 1], 'aplist': [1, 0, -1, 4, -4, -2, -2, 0, 4, -2, 0, 6, -6, 8, 12, -14, 4, 14, 4, 0, -14, -16, 0, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 16245, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '16245.j', 'trace_hash': 1547756663941209101}
• ec_padic •

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

  
  
  • id: 734581
    {'lmfdb_iso': '16245.j', 'p': 7, 'prec': 20, 'unit': 1787171932905740, 'val': 1}
  • id: 734579
    {'lmfdb_iso': '16245.j', 'p': 11, 'prec': 20, 'unit': 30054673931234589746, 'val': 1}
  • id: 734585
    {'lmfdb_iso': '16245.j', 'p': 13, 'prec': 20, 'unit': 118305667112926822434, 'val': 1}
  • id: 734587
    {'lmfdb_iso': '16245.j', 'p': 17, 'prec': 20, 'unit': 37030495037389638266729, 'val': 1}
  • id: 734592
    {'lmfdb_iso': '16245.j', 'p': 23, 'prec': 20, 'unit': 24811985015490211438299868, 'val': 1}
  • id: 734584
    {'lmfdb_iso': '16245.j', 'p': 29, 'prec': 20, 'unit': 2486686969239907092596016917, 'val': 1}
  • id: 734580
    {'lmfdb_iso': '16245.j', 'p': 37, 'prec': 20, 'unit': 463466328141931248730425120374, 'val': 1}
  • id: 734582
    {'lmfdb_iso': '16245.j', 'p': 41, 'prec': 20, 'unit': 744534180244444429116441568448, 'val': 1}
  • id: 734583
    {'lmfdb_iso': '16245.j', 'p': 43, 'prec': 20, 'unit': 2338601185388940059489948582388, 'val': 1}
  • id: 734594
    {'lmfdb_iso': '16245.j', 'p': 47, 'prec': 20, 'unit': 3699973315359868709441784604362, 'val': 1}
  • id: 734589
    {'lmfdb_iso': '16245.j', 'p': 53, 'prec': 20, 'unit': 106210914927764063320115636951969, 'val': 1}
  • id: 734590
    {'lmfdb_iso': '16245.j', 'p': 59, 'prec': 20, 'unit': 4182458703080093695568035277040819, 'val': 1}
  • id: 734595
    {'lmfdb_iso': '16245.j', 'p': 61, 'prec': 20, 'unit': 1802453217065210719403837008243760, 'val': 1}
  • id: 734588
    {'lmfdb_iso': '16245.j', 'p': 67, 'prec': 20, 'unit': 20773652199411252677957507430566221, 'val': 1}
  • id: 734591
    {'lmfdb_iso': '16245.j', 'p': 73, 'prec': 20, 'unit': 112061997347305919894539478074018601, 'val': 1}
  • id: 734586
    {'lmfdb_iso': '16245.j', 'p': 79, 'prec': 20, 'unit': 961530444582007915589975286569977813, 'val': 1}
  • id: 734593
    {'lmfdb_iso': '16245.j', 'p': 89, 'prec': 20, 'unit': 3220594026467828441276400336647994713, 'val': 1}
  • id: 734578
    {'lmfdb_iso': '16245.j', 'p': 97, 'prec': 20, 'unit': 13942236398332173755762872884934962718, '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: 106843
    {'Ciso': '16245c', 'Clabel': '16245c3', 'Cnumber': 3, 'abc_quality': 1.0982581996716574, 'absD': 5028240714679045125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -19518435, -33185583684], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16245, 'degree': 829440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7756644887441290751344524954', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [23977812996389881, 146611125], 'lmfdb_iso': '16245.j', 'lmfdb_label': '16245.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6007, -181724], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '20.12.0.g.1', '24.12.0-4.c.1.3', '120.24.0.?', '152.12.0.?', '228.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.393764918362399239085844344', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 361], [5, 6, 3249], [19, 200, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616099', 'prec': 103}, 'szpiro_ratio': 6.392032840039494, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 106844
    {'Ciso': '16245c', 'Clabel': '16245c4', 'Cnumber': 4, 'abc_quality': 0.9810006384698988, 'absD': 1431809687397216796875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -4020705, 2513992950], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16245, 'degree': 829440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7756644887441290751344524954', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [209595169258201, 41748046875], 'lmfdb_iso': '16245.j', 'lmfdb_label': '16245.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1237, 13054], 'min_quad_twist_disc': 57, '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.z.1', '76.12.0.?', '120.24.0.?', '228.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.8484412295905998097714610860', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3249], [3, 8, 361], [5, 6, 3249], [19, 200, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616099', 'prec': 103}, 'szpiro_ratio': 5.903178573081198, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 106842
    {'Ciso': '16245c', 'Clabel': '16245c2', 'Cnumber': 2, 'abc_quality': 0.9556029786132598, 'absD': 15669725218875140625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -1242810, -497800809], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16245, 'degree': 414720, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4290908984641564204258364347', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [6189976379881, 456890625], 'lmfdb_iso': '16245.j', 'lmfdb_label': '16245.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -382, -2849], 'min_quad_twist_disc': 57, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0.b.1', '60.24.0-20.b.1.3', '76.12.0.?', '228.24.0.?', '380.24.0.?', '1140.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.696882459181199619542922172', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3249], [3, 8, 361], [5, 6, 3249], [19, 200, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40756526454688134472370010030', 'prec': 103}, 'szpiro_ratio': 5.539893343880787, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 106841
    {'Ciso': '16245c', 'Clabel': '16245c1', 'Cnumber': 1, 'abc_quality': 0.9487490541305785, 'absD': 534420102201636375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, 73035, -34360200], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16245, 'degree': 207360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0825173081841837657172203739', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [1256216039, 15582375], 'lmfdb_iso': '16245.j', 'lmfdb_label': '16245.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 23, -176], 'min_quad_twist_disc': 57, '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.z.1', '120.24.0.?', '152.12.0.?', '190.6.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.8484412295905998097714610860', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 361], [5, 6, 3249], [19, 200, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.060991674266908690015084039494', 'prec': 107}, 'szpiro_ratio': 4.974132353096974, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}