Elliptic curve data - 9660.d2

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• 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[]

  
  {'Ciso': '9660e', 'Clabel': '9660e1', 'Cnumber': 1, 'abc_quality': 1.0396583211285242, 'absD': 525713215507200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 966, 'ainvs': [0, 1, 0, 17899, -600201], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 9660, 'degree': 38880, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5123802024419454973786965010', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [2477112820760576, 2053567248075], 'lmfdb_iso': '9660.d', 'lmfdb_label': '9660.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 17899, -600201], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '966.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 18, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.31806963648412334511625555494', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0502820820686486244338750867', 'prec': 100}, 'szpiro_ratio': 4.467324450722429, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 0, -1, 0, 1, 0, 1, 0, -3, 0, -4, 0, -1, 0, 6, 0, -1, 0], 'aplist': [0, 1, -1, 1, -3, -4, 6, -1, 1, -6, -4, 2, 3, 2, 9, 3, -3, -7, 14, -12, 2, -10, -12, -12, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 9660, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '9660.d', 'trace_hash': 1222458884518852508}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.048569456880697238888207358692', 'prec': 107}, 'conductor': 9660, 'gens': [[49, 630, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.31806963648412334511625555494', 'prec': 103}], 'lmfdb_label': '9660.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28823619902609830158796933013', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9506758844730117636903094599742500335', 'prec': 130}, 'tamagawa_product': 486, 'torsion_generators': [[85, 1242, 1]], 'xcoord_integral_points': [49, 85, 154, 274, 301, 637, 729, 2569, 155449]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [4, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9660.d2'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 501514
    {'degree': 3, 'field': [3, 7, -1, 1], 'lmfdb_label': '9660.d2', 'torsion': [6]}
  • id: 501516
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '9660.d2', 'torsion': [3, 3]}
  • id: 501515
    {'degree': 6, 'field': [1932, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '9660.d2', 'torsion': [2, 6]}
  • id: 501517
    {'degree': 9, 'field': [4623, 8142, 6141, 1601, -177, -186, 12, -15, -3, 1], 'lmfdb_label': '9660.d2', 'torsion': [9]}
  • id: 501518
    {'degree': 12, 'field': [-8802675, 0, -291654, 0, 931879, 0, -152164, 0, -789, 0, 74, 0, 1], 'lmfdb_label': '9660.d2', 'torsion': [12]}
  • id: 501519
    {'degree': 18, 'field': [8868, 18264, -53000, -15932, 199848, -247904, 107949, 3606, -9875, -11918, 16810, -11706, 6037, -2294, 606, -118, 25, -6, 1], 'lmfdb_label': '9660.d2', 'torsion': [3, 6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 203454
    {'conductor': 9660, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '9660.d2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 203455
    {'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '9660.d2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 203456
    {'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9660.d2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 203457
    {'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9660.d2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 203458
    {'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9660.d2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1727809
    {'adelic_gens': [[4, 3, 9, 7], [162, 811, 325, 180], [925, 6, 843, 19], [961, 6, 960, 7], [1, 6, 0, 1], [3, 4, 8, 11], [829, 6, 555, 19], [1, 0, 6, 1]], 'adelic_image': '966.16.0.?', 'conductor': 9660, 'lmfdb_label': '9660.d2', 'prime': 0}
  • id: 46708
    {'conductor': 9660, 'elladic_image': '3.8.0.1', 'lmfdb_label': '9660.d2', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 405469
    {'lmfdb_iso': '9660.d', 'p': 11, 'prec': 20, 'unit': 31029509391157451151, 'val': 1}
  • id: 405475
    {'lmfdb_iso': '9660.d', 'p': 13, 'prec': 20, 'unit': 1052648909122695925979, 'val': 1}
  • id: 405477
    {'lmfdb_iso': '9660.d', 'p': 17, 'prec': 20, 'unit': 34758666142435326333367, 'val': 1}
  • id: 405478
    {'lmfdb_iso': '9660.d', 'p': 19, 'prec': 20, 'unit': 1458085933217549968751443, 'val': 1}
  • id: 405474
    {'lmfdb_iso': '9660.d', 'p': 29, 'prec': 20, 'unit': 1798156932278106537183015002, 'val': 1}
  • id: 405486
    {'lmfdb_iso': '9660.d', 'p': 31, 'prec': 20, 'unit': 8051003260258623624073740686, 'val': 1}
  • id: 405470
    {'lmfdb_iso': '9660.d', 'p': 37, 'prec': 20, 'unit': 400586078644221164921676347598, 'val': 1}
  • id: 405472
    {'lmfdb_iso': '9660.d', 'p': 41, 'prec': 20, 'unit': 4152254312985401330207405837905, 'val': 1}
  • id: 405473
    {'lmfdb_iso': '9660.d', 'p': 43, 'prec': 20, 'unit': 4188626915506628859166193246733, 'val': 1}
  • id: 405484
    {'lmfdb_iso': '9660.d', 'p': 47, 'prec': 20, 'unit': 13692592015553983253591937307020, 'val': 1}
  • id: 405479
    {'lmfdb_iso': '9660.d', 'p': 53, 'prec': 20, 'unit': 366457934847017188071642293613562, 'val': 1}
  • id: 405480
    {'lmfdb_iso': '9660.d', 'p': 59, 'prec': 20, 'unit': 187909672755346970836844700841565, 'val': 1}
  • id: 405485
    {'lmfdb_iso': '9660.d', 'p': 61, 'prec': 20, 'unit': 1081776792564928541868805081465248, 'val': 1}
  • id: 405468
    {'lmfdb_iso': '9660.d', 'p': 67, 'prec': 20, 'unit': 47939329635544469607533717675060604, 'val': 1}
  • id: 405471
    {'lmfdb_iso': '9660.d', 'p': 71, 'prec': 20, 'unit': 115563691916923911916601861565574399, 'val': 1}
  • id: 405481
    {'lmfdb_iso': '9660.d', 'p': 73, 'prec': 20, 'unit': 107034049933607148418305046579360644, 'val': 1}
  • id: 405476
    {'lmfdb_iso': '9660.d', 'p': 79, 'prec': 20, 'unit': 196318337443102285986461757401333117, 'val': 1}
  • id: 405482
    {'lmfdb_iso': '9660.d', 'p': 83, 'prec': 20, 'unit': 99829748790522665883830510761774227, 'val': 1}
  • id: 405483
    {'lmfdb_iso': '9660.d', 'p': 89, 'prec': 20, 'unit': 10193346696374868410924457178571739050, 'val': 1}
  • id: 405467
    {'lmfdb_iso': '9660.d', 'p': 97, 'prec': 20, 'unit': 31475088360750502294676320613926313213, 'val': 1}