Elliptic curve isogeny class data - 7920.o

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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, 4, 0, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, -1, 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': 7920, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '7920.o', 'trace_hash': 540369841144865944}
• ec_padic •

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

  
  
  • id: 325257
    {'lmfdb_iso': '7920.o', 'p': 7, 'prec': 20, 'unit': 9344081657614345, 'val': 1}
  • id: 325261
    {'lmfdb_iso': '7920.o', 'p': 13, 'prec': 20, 'unit': 219503716672162608677, 'val': 1}
  • id: 325264
    {'lmfdb_iso': '7920.o', 'p': 19, 'prec': 20, 'unit': 1105271413841253774465408, 'val': 1}
  • id: 325267
    {'lmfdb_iso': '7920.o', 'p': 23, 'prec': 20, 'unit': 63905792460098207100874648, 'val': 1}
  • id: 325260
    {'lmfdb_iso': '7920.o', 'p': 29, 'prec': 20, 'unit': 1588578558590055208596157816, 'val': 1}
  • id: 325272
    {'lmfdb_iso': '7920.o', 'p': 31, 'prec': 20, 'unit': 17486964822900311555528186660, 'val': 1}
  • id: 325256
    {'lmfdb_iso': '7920.o', 'p': 37, 'prec': 20, 'unit': 449236465440334574432624690837, 'val': 1}
  • id: 325258
    {'lmfdb_iso': '7920.o', 'p': 41, 'prec': 20, 'unit': 4268271314778346064537492710761, 'val': 1}
  • id: 325259
    {'lmfdb_iso': '7920.o', 'p': 43, 'prec': 20, 'unit': 9744822928341897286546643838549, 'val': 1}
  • id: 325270
    {'lmfdb_iso': '7920.o', 'p': 47, 'prec': 20, 'unit': 50795721852313663697662551249696, 'val': 1}
  • id: 325265
    {'lmfdb_iso': '7920.o', 'p': 53, 'prec': 20, 'unit': 458305978822403472768783081863733, 'val': 1}
  • id: 325263
    {'lmfdb_iso': '7920.o', 'p': 59, 'prec': 20, 'unit': 3485583078830621897398636179410746, 'val': 1}
  • id: 325271
    {'lmfdb_iso': '7920.o', 'p': 61, 'prec': 20, 'unit': 4949158211938422107570888552536986, 'val': 1}
  • id: 325255
    {'lmfdb_iso': '7920.o', 'p': 67, 'prec': 20, 'unit': 24903267338498318649667988443573833, 'val': 1}
  • id: 325269
    {'lmfdb_iso': '7920.o', 'p': 71, 'prec': 20, 'unit': 96691020347762354323050635887253250, 'val': 1}
  • id: 325266
    {'lmfdb_iso': '7920.o', 'p': 73, 'prec': 20, 'unit': 74977804075328422306377464986901730, 'val': 1}
  • id: 325262
    {'lmfdb_iso': '7920.o', 'p': 79, 'prec': 20, 'unit': 160994964413363595334062486613648896, 'val': 1}
  • id: 325268
    {'lmfdb_iso': '7920.o', 'p': 89, 'prec': 20, 'unit': 7040229887097029166540228640495522126, 'val': 1}
  • id: 325254
    {'lmfdb_iso': '7920.o', 'p': 97, 'prec': 20, 'unit': 53202224489746939681776481669568310071, '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: 50795
    {'Ciso': '7920ba', 'Clabel': '7920ba4', 'Cnumber': 4, 'abc_quality': 0.9734387724171747, 'absD': 6209913600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 0, 0, -63903, -6217702], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 7920, 'degree': 20736, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2637564303394380610278249832', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154639330142416, 33275], 'lmfdb_iso': '7920.o', 'lmfdb_label': '7920.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7100, -232652], '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', '20.6.0.c.1', '44.6.0.a.1', '60.48.0-60.q.1.14', '66.24.0-6.a.1.3', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.690501637623905722666745289', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 2, 80], [5, 6, 1584], [11, 12, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25235216563208634238538095043', 'prec': 103}, 'szpiro_ratio': 4.991448883162661, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 50794
    {'Ciso': '7920ba', 'Clabel': '7920ba3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 103317437520, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 0, 0, -4008, -96433], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 7920, 'degree': 10368, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91718284005946540631920892242', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '7920.o', 'lmfdb_label': '7920.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], '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', '10.6.0.a.1', '12.24.0-6.a.1.3', '30.24.0.a.1', '44.6.0.b.1', '60.48.0-30.a.1.4', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3452508188119528613333726445', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 2, 80], [5, 6, 1584], [11, 12, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13682763553876212414917559681', 'prec': 103}, 'szpiro_ratio': 4.066074450582672, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 50793
    {'Ciso': '7920ba', 'Clabel': '7920ba2', 'Cnumber': 2, 'abc_quality': 0.8781924989889901, 'absD': 32076000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 0, 0, -903, -5902], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 7920, 'degree': 6912, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71445028600538321533020236469', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [436334416, 171875], 'lmfdb_iso': '7920.o', 'lmfdb_label': '7920.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, -252], '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', '20.6.0.c.1', '44.6.0.a.1', '60.48.0-60.q.1.13', '66.24.0-6.a.1.4', '132.48.0.?', '220.12.0.?', '660.96.1.?'], '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': '4.8968338792079685742222484297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 2, 176], [5, 6, 1584], [11, 12, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29695397870196850331224166808', 'prec': 107}, 'szpiro_ratio': 3.5680347588377366, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 50792
    {'Ciso': '7920ba', 'Clabel': '7920ba1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 176418000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 0, 0, -408, 3107], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 7920, 'degree': 3456, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36787669572541056062158630396', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '7920.o', 'lmfdb_label': '7920.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], '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', '10.6.0.a.1', '12.24.0-6.a.1.9', '30.24.0.a.1', '44.6.0.b.1', '60.48.0-30.a.1.10', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4484169396039842871111242148', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 2, 176], [5, 6, 1584], [11, 12, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702165', 'prec': 107}, 'szpiro_ratio': 3.302542139209472, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}