Elliptic curve isogeny class data - 6253.b

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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, 1, -2, 0, 0, 1, 0, -2, 0, -3, -2, 0, 0, 0, 4, 6, 0, -2, 0], 'aplist': [0, 1, 0, 1, -3, 0, 6, -2, 6, -6, 4, -1, 9, 8, -3, -3, -12, 8, 4, 15, -11, -10, -9, -6, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 6253, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '6253.b', 'trace_hash': 1591867577999885842}
• ec_padic •

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

  
  
  • id: 244166
    {'lmfdb_iso': '6253.b', 'p': 7, 'prec': 20, 'unit': 77813725216564600, 'val': -1}
  • id: 244171
    {'lmfdb_iso': '6253.b', 'p': 11, 'prec': 20, 'unit': 21926285192636764464, 'val': 1}
  • id: 244172
    {'lmfdb_iso': '6253.b', 'p': 17, 'prec': 20, 'unit': 156551905325087228781903, 'val': 1}
  • id: 244173
    {'lmfdb_iso': '6253.b', 'p': 19, 'prec': 20, 'unit': 1659541844218425737066561, 'val': 1}
  • id: 244177
    {'lmfdb_iso': '6253.b', 'p': 23, 'prec': 20, 'unit': 56839790480792128792469425, 'val': 1}
  • id: 244169
    {'lmfdb_iso': '6253.b', 'p': 29, 'prec': 20, 'unit': 2584180525341284393798174371, 'val': 1}
  • id: 244182
    {'lmfdb_iso': '6253.b', 'p': 31, 'prec': 20, 'unit': 4005773137382149391063555105, 'val': 1}
  • id: 244167
    {'lmfdb_iso': '6253.b', 'p': 41, 'prec': 20, 'unit': 3087171893093712466010364088443, 'val': 1}
  • id: 244168
    {'lmfdb_iso': '6253.b', 'p': 43, 'prec': 20, 'unit': 20886713315796072731270545626, 'val': 1}
  • id: 244180
    {'lmfdb_iso': '6253.b', 'p': 47, 'prec': 20, 'unit': 25798638862529818053535794687113, 'val': 1}
  • id: 244174
    {'lmfdb_iso': '6253.b', 'p': 53, 'prec': 20, 'unit': 142639802685748962139248604319601, 'val': 1}
  • id: 244175
    {'lmfdb_iso': '6253.b', 'p': 59, 'prec': 20, 'unit': 3246166969359202446207598137023024, 'val': 1}
  • id: 244181
    {'lmfdb_iso': '6253.b', 'p': 61, 'prec': 20, 'unit': 6198600168746743131745855490189148, 'val': 1}
  • id: 244165
    {'lmfdb_iso': '6253.b', 'p': 67, 'prec': 20, 'unit': 47487060484508474525043505425140153, 'val': 1}
  • id: 244179
    {'lmfdb_iso': '6253.b', 'p': 71, 'prec': 20, 'unit': 54787822402436635440809845399849273, 'val': 1}
  • id: 244176
    {'lmfdb_iso': '6253.b', 'p': 73, 'prec': 20, 'unit': 104809996170133837058720011756024884, 'val': 1}
  • id: 244170
    {'lmfdb_iso': '6253.b', 'p': 79, 'prec': 20, 'unit': 89378861827130988489165192058159642, 'val': 1}
  • id: 244164
    {'lmfdb_iso': '6253.b', 'p': 83, 'prec': 20, 'unit': 640684996555878504531584620319151549, 'val': 1}
  • id: 244178
    {'lmfdb_iso': '6253.b', 'p': 89, 'prec': 20, 'unit': 9454636706650277168140961749269732575, 'val': 1}
  • id: 244163
    {'lmfdb_iso': '6253.b', 'p': 97, 'prec': 20, 'unit': 15766423048377015167103922774249698210, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 39404
    {'Ciso': '6253a', 'Clabel': '6253a3', 'Cnumber': 3, 'abc_quality': 1.0859831071145252, 'absD': 178591933, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 25974, 'ainvs': [0, 1, 1, -316593, -68670260], 'analytic_rank': 1, 'bad_primes': [13, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 6253, 'degree': 12960, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5045562382544717230335287263', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [727057727488000, 37], 'lmfdb_iso': '6253.b', 'lmfdb_label': '6253.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1873, -31833], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '39.8.0-3.a.1.2', '74.2.0.?', '117.24.0.?', '222.8.0.?', '333.36.0.?', '351.72.0.?', '666.72.3.?', '999.324.16.?', '1998.648.43.?', '2886.16.0.?', '4329.72.0.?', '8658.144.3.?', '12987.648.16.?', '25974.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.4785254701742892535011512076', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22208155952370335500678500552', 'prec': 103}, 'szpiro_ratio': 5.675639388622995, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 39403
    {'Ciso': '6253a', 'Clabel': '6253a2', 'Cnumber': 2, 'abc_quality': 0.9727427413985318, 'absD': 244492356277, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 25974, 'ainvs': [0, 1, 1, -3943, -93609], 'analytic_rank': 1, 'bad_primes': [13, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 6253, 'degree': 4320, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95525009392041687733590610785', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [1404928000, 50653], 'lmfdb_iso': '6253.b', 'lmfdb_label': '6253.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -23, -50], 'min_quad_twist_disc': 13, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '39.24.0-3.a.1.1', '74.2.0.?', '117.72.0.?', '222.24.1.?', '333.108.4.?', '666.216.13.?', '999.324.16.?', '1998.648.43.?', '2886.48.1.?', '4329.216.4.?', '8658.432.13.?', '12987.648.16.?', '25974.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1595084900580964178337170692', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32722458481035149069083761293', 'prec': 107}, 'szpiro_ratio': 4.170428186614647, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 39402
    {'Ciso': '6253a', 'Clabel': '6253a1', 'Cnumber': 1, 'abc_quality': 0.8826782160855301, 'absD': 178591933, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 25974, 'ainvs': [0, 1, 1, -563, 4918], 'analytic_rank': 1, 'bad_primes': [13, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 6253, 'degree': 1440, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40594394958636203163828348939', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [4096000, 37], 'lmfdb_iso': '6253.b', 'lmfdb_label': '6253.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -3, 1], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '39.8.0-3.a.1.1', '74.2.0.?', '117.24.0.?', '222.8.0.?', '333.36.0.?', '351.72.0.?', '666.72.3.?', '999.324.16.?', '1998.648.43.?', '2886.16.0.?', '4329.72.0.?', '8658.144.3.?', '12987.648.16.?', '25974.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0531694966860321392779056897', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023139', 'prec': 107}, 'szpiro_ratio': 3.502558044052159, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}