Elliptic curve isogeny class data - 12495.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, -1, 1, -1, -1, -1, 0, 3, 1, 1, 4, -1, -2, 0, -1, -1, -1, -1, -8, 1], 'aplist': [-1, 1, -1, 0, 4, -2, -1, -8, -4, 2, 8, 2, 6, 4, -4, 6, -12, 2, -12, -8, 14, 4, 0, -14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 12495, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '12495.d', 'trace_hash': 1694319321663549002}
• ec_padic •

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

  
  
  • id: 547349
    {'lmfdb_iso': '12495.d', 'p': 11, 'prec': 20, 'unit': 31582730894637572299, 'val': 1}
  • id: 547355
    {'lmfdb_iso': '12495.d', 'p': 13, 'prec': 20, 'unit': 50361779716843576812, 'val': 1}
  • id: 547358
    {'lmfdb_iso': '12495.d', 'p': 19, 'prec': 20, 'unit': 1520973547111689152284192, 'val': 1}
  • id: 547361
    {'lmfdb_iso': '12495.d', 'p': 23, 'prec': 20, 'unit': 44739618204429589121439405, 'val': 1}
  • id: 547354
    {'lmfdb_iso': '12495.d', 'p': 29, 'prec': 20, 'unit': 2384133130462199961656993772, 'val': 1}
  • id: 547365
    {'lmfdb_iso': '12495.d', 'p': 31, 'prec': 20, 'unit': 4600889082149041848829720091, 'val': 1}
  • id: 547350
    {'lmfdb_iso': '12495.d', 'p': 37, 'prec': 20, 'unit': 587030021288615712575402075346, 'val': 1}
  • id: 547352
    {'lmfdb_iso': '12495.d', 'p': 41, 'prec': 20, 'unit': 2511307385602264355729044137987, 'val': 1}
  • id: 547353
    {'lmfdb_iso': '12495.d', 'p': 43, 'prec': 20, 'unit': 124190529939725968026945979410, 'val': 2}
  • id: 547363
    {'lmfdb_iso': '12495.d', 'p': 47, 'prec': 20, 'unit': 17848133062687358898617259551514, 'val': 1}
  • id: 547359
    {'lmfdb_iso': '12495.d', 'p': 53, 'prec': 20, 'unit': 464946946976409562500977830826441, 'val': 1}
  • id: 547357
    {'lmfdb_iso': '12495.d', 'p': 59, 'prec': 20, 'unit': 2635873433164452379630931926751789, 'val': 1}
  • id: 547364
    {'lmfdb_iso': '12495.d', 'p': 61, 'prec': 20, 'unit': 5305538448232801400420732127187877, 'val': 1}
  • id: 547348
    {'lmfdb_iso': '12495.d', 'p': 67, 'prec': 20, 'unit': 33425500615066268215569983886105675, 'val': 1}
  • id: 547351
    {'lmfdb_iso': '12495.d', 'p': 71, 'prec': 20, 'unit': 67569563729817633924033114355310670, 'val': 1}
  • id: 547360
    {'lmfdb_iso': '12495.d', 'p': 73, 'prec': 20, 'unit': 238482383067582410447985542746585595, 'val': 1}
  • id: 547356
    {'lmfdb_iso': '12495.d', 'p': 79, 'prec': 20, 'unit': 968782085841299851957648789106007442, 'val': 1}
  • id: 547362
    {'lmfdb_iso': '12495.d', 'p': 89, 'prec': 20, 'unit': 985919648591353311085624867277521903, 'val': 1}
  • id: 547347
    {'lmfdb_iso': '12495.d', 'p': 97, 'prec': 20, 'unit': 14630540042212615735092979837229584717, '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: 81674
    {'Ciso': '12495k', 'Clabel': '12495k3', 'Cnumber': 3, 'abc_quality': 0.9276850280892978, 'absD': 3185003061683415, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 14280, 'ainvs': [1, 0, 0, -49736, -3298695], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12495, 'degree': 73728, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6866032374861308318246715365', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [115650783909361, 27072079335], 'lmfdb_iso': '12495.d', 'lmfdb_label': '12495.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1015, 9182], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '28.12.0-4.c.1.2', '60.12.0.h.1', '136.12.0.?', '420.24.0.?', '952.24.0.?', '2040.24.0.?', '14280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6794125469928982348318213412', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.71364816295847417927199516478', 'prec': 103}, 'szpiro_ratio': 4.670482941656745, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 81673
    {'Ciso': '12495k', 'Clabel': '12495k2', 'Cnumber': 2, 'abc_quality': 0.8988130820642394, 'absD': 30363350987025, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7140, 'ainvs': [1, 0, 0, -16661, 782760], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12495, 'degree': 36864, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3400296472061581771160554757', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [4347507044161, 258084225], 'lmfdb_iso': '12495.d', 'lmfdb_label': '12495.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -340, -2428], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '28.12.0-2.a.1.1', '60.12.0.a.1', '68.12.0-2.a.1.1', '420.24.0.?', '476.24.0.?', '1020.24.0.?', '7140.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83970627349644911741591067058', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36707457267850152456337910398', 'prec': 103}, 'szpiro_ratio': 4.322667462229716, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 81672
    {'Ciso': '12495k', 'Clabel': '12495k1', 'Cnumber': 1, 'abc_quality': 0.8969673060812705, 'absD': 1890031185, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 14280, 'ainvs': [1, 0, 0, -16416, 808191], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12495, 'degree': 18432, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99345605692618552240743941501', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [4158523459441, 16065], 'lmfdb_iso': '12495.d', 'lmfdb_label': '12495.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -335, -2500], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0-4.c.1.5', '68.12.0-4.c.1.2', '120.12.0.?', '420.12.0.?', '840.24.0.?', '952.24.0.?', '2040.24.0.?', '3570.6.0.?', '7140.24.0.?', '14280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6794125469928982348318213412', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.020500982398528869854763043288', 'prec': 107}, 'szpiro_ratio': 4.317956117071714, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 81675
    {'Ciso': '12495k', 'Clabel': '12495k4', 'Cnumber': 4, 'abc_quality': 0.950707336090725, 'absD': 4650185476794375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 14280, 'ainvs': [1, 0, 0, 12494, 3237611], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12495, 'degree': 73728, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6866032374861308318246715365', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [1833318007919, 39525924375], 'lmfdb_iso': '12495.d', 'lmfdb_label': '12495.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 255, -9330], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '28.12.0-4.c.1.1', '68.12.0-4.c.1.1', '120.12.0.?', '238.6.0.?', '476.24.0.?', '840.24.0.?', '2040.24.0.?', '14280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.41985313674822455870795533529', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.71364816295847417927199516478', 'prec': 103}, 'szpiro_ratio': 4.61176806315012, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}