Elliptic curve data - 6336.o2

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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
  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[]

  
  {'Ciso': '6336ck', 'Clabel': '6336ck3', 'Cnumber': 3, 'abc_quality': 0.9538342535176972, 'absD': 2098454003712, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -3756, -54704], 'analytic_rank': 2, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6336, 'degree': 12288, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0652004557832456262265126040', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [122657188, 43923], 'lmfdb_iso': '6336.o', 'lmfdb_label': '6336.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -104, -288], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '12.12.0.h.1', '24.24.0-12.h.1.2', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 31, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.44336400231012971850031521209', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 704], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40830192929740296536075284307', 'prec': 107}, 'szpiro_ratio': 4.1474663453437755, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -2, 0, -4, 0, 0, 0, 1, 0, -6, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 0, -2, -4, 1, -6, -6, -8, 0, -6, 0, -6, 10, -8, 0, 6, -4, 2, -12, -8, 2, 4, 12, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 6336, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6336.o', 'trace_hash': 2032770719424507095}
• 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': '0.11878966015586165449599775673', 'prec': 103}, 'conductor': 6336, 'gens': [[-30, 176, 1], [-19, 99, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.55466741757410865951749701106', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.85567745024896375224450409687', 'prec': 103}], 'lmfdb_label': '6336.o2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.62795604257254766800843690243', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4546096689567190422013458923212514968', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-52, 0, 1]], 'xcoord_integral_points': [-52, -46, -36, -30, -19, -16, 69, 80, 98, 146, 173, 476, 674, 2060, 3666, 18450]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [2, 0], '11': [3, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [4, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '6336.o2'}
• ec_torsion_growth •

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

  
  
  • id: 331104
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [2, 2]}
  • id: 331106
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [4]}
  • id: 331105
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [4]}
  • id: 331107
    {'degree': 4, 'field': [1, 0, 4, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [2, 4]}
  • id: 331111
    {'degree': 8, 'field': [-27, 0, -78, 0, -18, 0, 0, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [6]}
  • id: 331108
    {'degree': 8, 'field': [-2, 16, -16, 4, -8, 8, 2, -4, 1], 'lmfdb_label': '6336.o2', 'torsion': [2, 4]}
  • id: 331109
    {'degree': 8, 'field': [9, 0, -24, 0, 55, 0, 14, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [8]}
  • id: 331110
    {'degree': 8, 'field': [16, 0, 26, 0, 33, 0, -10, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [8]}
  • id: 331112
    {'degree': 16, 'field': [1, -12, 68, -232, 488, -564, 194, 396, -665, 444, -62, -152, 162, -92, 34, -8, 1], 'lmfdb_label': '6336.o2', 'torsion': [4, 4]}
  • id: 331113
    {'degree': 16, 'field': [9, -72, 270, -528, 466, 168, -858, 788, 35, -844, 1106, -844, 444, -168, 44, -8, 1], 'lmfdb_label': '6336.o2', 'torsion': [2, 8]}
  • id: 331114
    {'degree': 16, 'field': [484, 0, -1716, 0, 949, 0, 1176, 0, 111, 0, 12, 0, 31, 0, 0, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [2, 8]}
  • id: 331117
    {'degree': 16, 'field': [5329, 0, -1004, 0, -560, 0, 27016, 0, 7894, 0, 436, 0, 76, 0, 16, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [12]}
  • id: 331116
    {'degree': 16, 'field': [30276, 0, 124248, 0, 123652, 0, -78816, 0, 34500, 0, -508, 0, 384, 0, 0, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [12]}
  • id: 331115
    {'degree': 16, 'field': [116964, 0, -315144, 0, 111060, 0, -26784, 0, 5364, 0, -1884, 0, 216, 0, -24, 0, 1], 'lmfdb_label': '6336.o2', 'torsion': [2, 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: 127131
    {'conductor': 6336, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '6336.o2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 127132
    {'conductor': 6336, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '6336.o2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 127133
    {'conductor': 6336, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6336.o2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1705589
    {'adelic_gens': [[32, 157, 29, 0], [172, 263, 65, 258], [145, 8, 52, 33], [1, 0, 8, 1], [257, 8, 256, 9], [29, 30, 86, 221], [1, 8, 0, 1], [7, 6, 258, 259], [1, 4, 4, 17]], 'adelic_image': '264.48.0.?', 'conductor': 6336, 'lmfdb_label': '6336.o2', 'prime': 0}
  • id: 31217
    {'conductor': 6336, 'elladic_image': '8.12.0.7', 'lmfdb_label': '6336.o2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 248705
    {'lmfdb_iso': '6336.o', 'p': 5, 'prec': 20, 'unit': 8112675126954, 'val': 2}
  • id: 248706
    {'lmfdb_iso': '6336.o', 'p': 7, 'prec': 20, 'unit': 348018086789929, 'val': 2}
  • id: 248710
    {'lmfdb_iso': '6336.o', 'p': 13, 'prec': 20, 'unit': 359242377803441543355, 'val': 2}
  • id: 248712
    {'lmfdb_iso': '6336.o', 'p': 17, 'prec': 20, 'unit': 214133229870771101314049, 'val': 2}
  • id: 248702
    {'lmfdb_iso': '6336.o', 'p': 19, 'prec': 20, 'unit': 1454462333706476870946334, 'val': 2}
  • id: 248709
    {'lmfdb_iso': '6336.o', 'p': 29, 'prec': 20, 'unit': 1734485493362467894073340663, 'val': 2}
  • id: 248720
    {'lmfdb_iso': '6336.o', 'p': 37, 'prec': 20, 'unit': 10662614617230521048873439289, 'val': 3}
  • id: 248707
    {'lmfdb_iso': '6336.o', 'p': 41, 'prec': 20, 'unit': 1069108640201093136348866403159, 'val': 2}
  • id: 248708
    {'lmfdb_iso': '6336.o', 'p': 43, 'prec': 20, 'unit': 3042519836223195035619799205664, 'val': 2}
  • id: 248714
    {'lmfdb_iso': '6336.o', 'p': 53, 'prec': 20, 'unit': 176405535005291263485767439548324, 'val': 2}
  • id: 248718
    {'lmfdb_iso': '6336.o', 'p': 59, 'prec': 20, 'unit': 3919100651641272265939348186640543, 'val': 2}
  • id: 248719
    {'lmfdb_iso': '6336.o', 'p': 61, 'prec': 20, 'unit': 6645738509712505456348206323885136, 'val': 2}
  • id: 248704
    {'lmfdb_iso': '6336.o', 'p': 67, 'prec': 20, 'unit': 8574704871768052970386738030904266, 'val': 2}
  • id: 248717
    {'lmfdb_iso': '6336.o', 'p': 71, 'prec': 20, 'unit': 100609277775057836672278553640928216, 'val': 2}
  • id: 248715
    {'lmfdb_iso': '6336.o', 'p': 73, 'prec': 20, 'unit': 214377007456749032223201770386417456, 'val': 2}
  • id: 248711
    {'lmfdb_iso': '6336.o', 'p': 79, 'prec': 20, 'unit': 553885748168805786950284694779359317, 'val': 2}
  • id: 248713
    {'lmfdb_iso': '6336.o', 'p': 83, 'prec': 20, 'unit': 2388654424090773164699776722689845450, 'val': 2}
  • id: 248716
    {'lmfdb_iso': '6336.o', 'p': 89, 'prec': 20, 'unit': 3576356492254728710740725623061811410, 'val': 2}
  • id: 248703
    {'lmfdb_iso': '6336.o', 'p': 97, 'prec': 20, 'unit': 18248332671338041872630644771999471775, 'val': 2}