Elliptic curve data - 64400.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
  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': '64400e', 'Clabel': '64400e2', 'Cnumber': 2, 'abc_quality': 0.845235809446266, 'absD': 4147360000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 6440, 'ainvs': [0, 1, 0, 3992, -12012], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 64400, 'degree': 98304, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1104947392098994059593218931', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [219804478, 129605], 'lmfdb_iso': '64400.d', 'lmfdb_label': '64400.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 160, 160], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.a.1', '644.6.0.?', '6440.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0606641393300685958038772430', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 18, 2576], [7, 8, 9200], [23, 24, 2800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32960913252043398164018721818', 'prec': 107}, 'szpiro_ratio': 3.295396678426066, '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, -2, 0, 0, 0, -1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -2, 0, -1, 0, -2, 2, 4, -1, 6, -2, 2, -6, -2, 12, -6, 8, 2, -14, 12, -4, -6, -12, 6, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 64400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '64400.d', 'trace_hash': 829007822473632246}
• 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': '0.10850169560587697912248872411', 'prec': 103}, 'conductor': 64400, 'gens': [[28, 350, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0606641393300685958038772430', 'prec': 100}], 'lmfdb_label': '64400.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.45750961632971890714204324070', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7710946390772404341064017228724707283', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[3, 0, 1]], 'xcoord_integral_points': [3, 28, 164]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '64400.d2'}
• ec_torsion_growth •

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

  
  
  • id: 3078262
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '64400.d2', 'torsion': [2, 2]}
  • id: 3078263
    {'degree': 4, 'field': [-160, 0, 2, 0, 1], 'lmfdb_label': '64400.d2', 'torsion': [4]}
  • id: 3078266
    {'degree': 8, 'field': [-300, 0, 20, 0, 60, 0, 0, 0, 1], 'lmfdb_label': '64400.d2', 'torsion': [6]}
  • id: 3078265
    {'degree': 8, 'field': [2561, -2040, 2072, -560, 374, -120, 8, 0, 1], 'lmfdb_label': '64400.d2', 'torsion': [2, 4]}
  • id: 3078264
    {'degree': 8, 'field': [6400, 0, 22240, 0, 324, 0, 44, 0, 1], 'lmfdb_label': '64400.d2', 'torsion': [2, 4]}
  • id: 3078268
    {'degree': 16, 'field': [18429849, 0, -10646316, 0, 25380, 0, 780652, 0, 56990, 0, 3052, 0, -188, 0, 20, 0, 1], 'lmfdb_label': '64400.d2', 'torsion': [2, 6]}
  • id: 3078267
    {'degree': 16, 'field': [2828112400, 0, -74987280, 0, -77708124, 0, -611256, 0, -189156, 0, 1468, 0, 241, 0, 10, 0, 1], 'lmfdb_label': '64400.d2', 'torsion': [8]}
• 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: 1555695
    {'conductor': 64400, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '64400.d2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1555696
    {'conductor': 64400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '64400.d2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1555697
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64400.d2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1555698
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64400.d2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2090843
    {'adelic_gens': [[1, 2, 2, 5], [5636, 809, 4025, 2416], [2, 1, 3219, 0], [2761, 4, 5522, 9], [1, 4, 0, 1], [281, 4, 562, 9], [1, 0, 4, 1], [5154, 1, 3863, 0], [3, 4, 8, 11], [6437, 4, 6436, 5]], 'adelic_image': '6440.12.0.?', 'conductor': 64400, 'lmfdb_label': '64400.d2', 'prime': 0}
  • id: 270437
    {'conductor': 64400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '64400.d2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3282996
    {'lmfdb_iso': '64400.d', 'p': 13, 'prec': 20, 'unit': 649981753857972532982, 'val': 1}
  • id: 3282998
    {'lmfdb_iso': '64400.d', 'p': 17, 'prec': 20, 'unit': 183044290177778982411073, 'val': 1}
  • id: 3282999
    {'lmfdb_iso': '64400.d', 'p': 19, 'prec': 20, 'unit': 667161709095838260530822, 'val': 1}
  • id: 3282995
    {'lmfdb_iso': '64400.d', 'p': 29, 'prec': 20, 'unit': 2677986694044991504874385778, 'val': 1}
  • id: 3283006
    {'lmfdb_iso': '64400.d', 'p': 31, 'prec': 20, 'unit': 8664152558413294730917067356, 'val': 1}
  • id: 3282991
    {'lmfdb_iso': '64400.d', 'p': 37, 'prec': 20, 'unit': 545768608466028746189790118814, 'val': 1}
  • id: 3282993
    {'lmfdb_iso': '64400.d', 'p': 41, 'prec': 20, 'unit': 921885859985290533622100882018, 'val': 1}
  • id: 3282994
    {'lmfdb_iso': '64400.d', 'p': 43, 'prec': 20, 'unit': 6893507248610305497682089124679, 'val': 1}
  • id: 3283004
    {'lmfdb_iso': '64400.d', 'p': 47, 'prec': 20, 'unit': 30793508380302519088458701970931, 'val': 1}
  • id: 3283000
    {'lmfdb_iso': '64400.d', 'p': 53, 'prec': 20, 'unit': 74901098736272145948118871714853, 'val': 1}
  • id: 3283001
    {'lmfdb_iso': '64400.d', 'p': 59, 'prec': 20, 'unit': 1212768772398076517823785939075950, 'val': 1}
  • id: 3283005
    {'lmfdb_iso': '64400.d', 'p': 61, 'prec': 20, 'unit': 390388993377869533764491630861778, 'val': 1}
  • id: 3282990
    {'lmfdb_iso': '64400.d', 'p': 67, 'prec': 20, 'unit': 37229092312222164807158248168468195, 'val': 1}
  • id: 3282992
    {'lmfdb_iso': '64400.d', 'p': 71, 'prec': 20, 'unit': 27443504982854950287827569268924903, 'val': 1}
  • id: 3283002
    {'lmfdb_iso': '64400.d', 'p': 73, 'prec': 20, 'unit': 176015929367719581694622908682894662, 'val': 1}
  • id: 3282997
    {'lmfdb_iso': '64400.d', 'p': 79, 'prec': 20, 'unit': 1094480504443661302132287632096102896, 'val': 1}
  • id: 3282989
    {'lmfdb_iso': '64400.d', 'p': 83, 'prec': 20, 'unit': 2020614577060322866894049212107533225, 'val': 1}
  • id: 3283003
    {'lmfdb_iso': '64400.d', 'p': 89, 'prec': 20, 'unit': 5592470966511944531708375000384145839, 'val': 1}
  • id: 3282988
    {'lmfdb_iso': '64400.d', 'p': 97, 'prec': 20, 'unit': 21663184296025890523134065864126836234, 'val': 1}