Elliptic curve isogeny class data - 87120.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, 0, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, 0, -1, -4, 0, 2, -2, -8, 0, 2, 8, -10, -10, 0, 0, -14, -4, -14, 4, 8, -10, 12, -4, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 87120, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '87120.d', 'trace_hash': 2031684825235811046}
• ec_padic •

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

  
  
  • id: 4503999
    {'lmfdb_iso': '87120.d', 'p': 7, 'prec': 20, 'unit': 1490200968351406, 'val': 2}
  • id: 4504003
    {'lmfdb_iso': '87120.d', 'p': 13, 'prec': 20, 'unit': 382017433701701961829, 'val': 2}
  • id: 4504005
    {'lmfdb_iso': '87120.d', 'p': 17, 'prec': 20, 'unit': 230540356372623989670881, 'val': 2}
  • id: 4503995
    {'lmfdb_iso': '87120.d', 'p': 19, 'prec': 20, 'unit': 1223627720562531967289692, 'val': 2}
  • id: 4504002
    {'lmfdb_iso': '87120.d', 'p': 29, 'prec': 20, 'unit': 3521823886299447775885748221, 'val': 2}
  • id: 4504012
    {'lmfdb_iso': '87120.d', 'p': 31, 'prec': 20, 'unit': 1569525025848596051993378084, 'val': 2}
  • id: 4503998
    {'lmfdb_iso': '87120.d', 'p': 37, 'prec': 20, 'unit': 84039162332095028305752850055, 'val': 2}
  • id: 4504000
    {'lmfdb_iso': '87120.d', 'p': 41, 'prec': 20, 'unit': 4340667199568502179800508176130, 'val': 2}
  • id: 4504007
    {'lmfdb_iso': '87120.d', 'p': 53, 'prec': 20, 'unit': 481850482389741691658346075409422, 'val': 2}
  • id: 4504010
    {'lmfdb_iso': '87120.d', 'p': 59, 'prec': 20, 'unit': 435013911137093087985217673137525, 'val': 2}
  • id: 4504011
    {'lmfdb_iso': '87120.d', 'p': 61, 'prec': 20, 'unit': 1900194194702809923680689357288666, 'val': 2}
  • id: 4503997
    {'lmfdb_iso': '87120.d', 'p': 67, 'prec': 20, 'unit': 35569432306889448680333917450368245, 'val': 2}
  • id: 4504001
    {'lmfdb_iso': '87120.d', 'p': 71, 'prec': 20, 'unit': 89709439833875799097039706808322412, 'val': 2}
  • id: 4504008
    {'lmfdb_iso': '87120.d', 'p': 73, 'prec': 20, 'unit': 201578292468823834612471017057548461, 'val': 2}
  • id: 4504004
    {'lmfdb_iso': '87120.d', 'p': 79, 'prec': 20, 'unit': 250805565633445768028449206667399614, 'val': 2}
  • id: 4504006
    {'lmfdb_iso': '87120.d', 'p': 83, 'prec': 20, 'unit': 2180608412370162897293664721757119782, 'val': 2}
  • id: 4504009
    {'lmfdb_iso': '87120.d', 'p': 89, 'prec': 20, 'unit': 4196688217004805023000840164017509153, 'val': 2}
  • id: 4503996
    {'lmfdb_iso': '87120.d', 'p': 97, 'prec': 20, 'unit': 47415999923957979175030093176903387040, 'val': 2}
• 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: 574001
    {'Ciso': '87120ev', 'Clabel': '87120ev4', 'Cnumber': 4, 'abc_quality': 0.9948764903400649, 'absD': 23234620457937715200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -27922323, -56789992622], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 5898240, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8773943574082791953124419442', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [455129268177961, 4392300], 'lmfdb_iso': '87120.d', 'lmfdb_label': '87120.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1602, 24024], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '12.12.0.h.1', '24.24.0-12.h.1.4', '44.12.0-4.c.1.2', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '8.9717984836375063522627851877', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 9680], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43599339611509376816661541530', 'prec': 103}, 'szpiro_ratio': 5.542697379002631, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 573999
    {'Ciso': '87120ev', 'Clabel': '87120ev2', 'Cnumber': 2, 'abc_quality': 0.9457647825784831, 'absD': 57606497003151360000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 132, 'ainvs': [0, 0, 0, -1786323, -843271022], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 2949120, 'elladic_images': ['4.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5308207671283065406038258835', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [119168121961, 10890000], 'lmfdb_iso': '87120.d', 'lmfdb_label': '87120.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -102, 324], 'min_quad_twist_disc': -132, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.2', '12.24.0-12.a.1.4', '44.24.0-44.b.1.4', '132.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 21, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '8.9717984836375063522627851877', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 9680], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.089419805835121113457999354597', 'prec': 107}, 'szpiro_ratio': 4.817618592166424, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 573998
    {'Ciso': '87120ev', 'Clabel': '87120ev1', 'Cnumber': 1, 'abc_quality': 0.9075122139890862, 'absD': 1117216911576268800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -392403, 79782802], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 1474560, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1842471768483338858952098227', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [1263214441, 211200], 'lmfdb_iso': '87120.d', 'lmfdb_label': '87120.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -22, -44], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '12.12.0-4.c.1.1', '24.24.0-24.ba.1.5', '44.12.0-4.c.1.1', '66.6.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.2429496209093765880656962969', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 9680], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25715378444485154125061670620', 'prec': 107}, 'szpiro_ratio': 4.41789472595383, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 574000
    {'Ciso': '87120ev', 'Clabel': '87120ev3', 'Cnumber': 3, 'abc_quality': 0.9949953764457301, 'absD': 7364466946425600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, 2046957, -3971994158], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 5898240, 'elladic_images': ['8.12.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8773943574082791953124419442', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [179310732119, 1392187500], 'lmfdb_iso': '87120.d', 'lmfdb_label': '87120.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 118, 1776], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.1', '12.12.0-4.c.1.2', '22.6.0.a.1', '24.24.0-24.ba.1.13', '44.12.0.g.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '8.9717984836375063522627851877', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 9680], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43599339611509376816661541530', 'prec': 103}, 'szpiro_ratio': 5.074989172999637, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}