Elliptic curve isogeny class data - 162450.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, -1, 0, 1, 0, 0, -2, -1, 0, 0, -6, 0, -4, 2, 0, 1, -6, 0, 0, 0], 'aplist': [-1, 0, 0, -2, -6, -4, -6, 0, 0, 0, -8, 8, -12, -2, 0, 6, -12, 2, -16, 0, 10, -8, 0, -12, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 162450, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '162450.i', 'trace_hash': 523224733466096721}
• lmfdb_iso 162450.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
  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: 1051746
    {'Ciso': '162450dg', 'Clabel': '162450dg4', 'Cnumber': 4, 'abc_quality': 1.0531544430296054, 'absD': 2019075379493731498718261718750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -37625939667, 1793801850972741], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 1194393600, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0926040112199457488419300661', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [10993009831928446009969, 3767761230468750000], 'lmfdb_iso': '162450.i', 'lmfdb_label': '162450.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -463231, 77449961], 'min_quad_twist_disc': 285, '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.1.6', '60.48.0-60.t.1.8', '76.6.0.?', '228.48.0.?', '285.8.0.?', '570.24.0.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1115057123272807389698432057', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 81225], [3, 8, 18050], [5, 18, 6498], [19, 200, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2663594210856204858394140651', 'prec': 100}, 'szpiro_ratio': 7.056642418472406, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051744
    {'Ciso': '162450dg', 'Clabel': '162450dg2', 'Cnumber': 2, 'abc_quality': 1.0425519890633115, 'absD': 475040090845899000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -33707645667, 2382002636910741], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 398131200, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5432978668858909031443074476', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7903870428425797297009, 886464000000], 'lmfdb_iso': '162450.i', 'lmfdb_label': '162450.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -414991, 102863225], 'min_quad_twist_disc': 285, '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.1.12', '60.48.0-60.t.1.7', '76.6.0.?', '228.48.0.?', '285.8.0.?', '570.24.0.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3705019041090935796566144019', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 81225], [3, 2, 9025], [5, 18, 6498], [19, 200, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7170532767515656401417914466', 'prec': 100}, 'szpiro_ratio': 7.029145870557428, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051743
    {'Ciso': '162450dg', 'Clabel': '162450dg1', 'Cnumber': 1, 'abc_quality': 1.0164002037838358, 'absD': 10953931860738146304000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, -2101373667, 37417773678741], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 199065600, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1967242766059182484356913869', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1914980734749238129, 20440940544000], 'lmfdb_iso': '162450.i', 'lmfdb_label': '162450.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25871, 1614201], 'min_quad_twist_disc': 285, '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.1.12', '30.24.0.b.1', '60.48.0-30.b.1.3', '76.6.0.?', '114.24.0.?', '228.48.0.?', '285.8.0.?', '570.48.0.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7410038082181871593132288038', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 81225], [3, 2, 9025], [5, 18, 6498], [19, 200, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3704796864715929854331753859', 'prec': 100}, 'szpiro_ratio': 6.336777447121086, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051745
    {'Ciso': '162450dg', 'Clabel': '162450dg3', 'Cnumber': 3, 'abc_quality': 1.0444928492259786, 'absD': 37816560374981985210937500000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1140, 'ainvs': [1, -1, 0, 6943842333, 194771782158741], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 597196800, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7460304209399730941333140054', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [69096190760262356111, 70568821500000000], 'lmfdb_iso': '162450.i', 'lmfdb_label': '162450.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 85489, 8420985], 'min_quad_twist_disc': 285, '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.1.6', '30.24.0.b.1', '60.48.0-30.b.1.5', '76.6.0.?', '114.24.0.?', '228.48.0.?', '285.8.0.?', '570.48.0.?', '1140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2230114246545614779396864114', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 81225], [3, 8, 18050], [5, 18, 6498], [19, 200, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9197858308056478311307980044', 'prec': 100}, 'szpiro_ratio': 6.634116811466535, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}