Elliptic curve data - 8624.c1

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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': '8624l', 'Clabel': '8624l1', 'Cnumber': 1, 'abc_quality': 0.7866607319557362, 'absD': 331299584, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 22, 'ainvs': [0, 0, 0, -196, 1372], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8624, 'degree': 5760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.34374318980309257914476279791', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-27648, 11], 'lmfdb_iso': '8624.c', 'lmfdb_label': '8624.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -4, 4], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['22.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0631351367499681887370968128', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 539], [7, 26, 176], [11, 12, 784]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0913100050978609463527349881', 'prec': 103}, 'szpiro_ratio': 3.0865433613089293, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, 3, 0, 0, 0, 6, 0, 1, 0, 0, 0, -9, 0, 6, 0, 4, 0], 'aplist': [0, -3, 3, 0, 1, 0, 6, 4, -1, -8, -7, -1, -4, -6, -8, 2, -1, -4, 5, -3, -16, -2, -2, -15, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 8624, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8624.c', 'trace_hash': 1374147308402573781}
• 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': '0.50283842678169710614134752948', 'prec': 103}, 'conductor': 8624, 'gens': [[-7, 49, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0631351367499681887370968128', 'prec': 100}], 'lmfdb_label': '8624.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6073050839525949840325737073', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4175650204537223369244861388070022459', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [1, 0], '7': 'a', '11': [2, 0], '13': [1, 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': '8624.c1'}
• ec_torsion_growth •

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

  
  
  • id: 450541
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '8624.c1', 'torsion': [2]}
  • id: 450542
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '8624.c1', 'torsion': [2, 2]}
  • id: 450543
    {'degree': 8, 'field': [-677, 4142, 2716, 1292, -56, -82, -2, -4, 1], 'lmfdb_label': '8624.c1', 'torsion': [3]}
  • id: 450544
    {'degree': 12, 'field': [-6137, 10412, 3562, -12930, 4123, 808, 148, 64, -57, -32, 6, -2, 1], 'lmfdb_label': '8624.c1', 'torsion': [4]}
• 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: 180009
    {'conductor': 8624, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8624.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 180010
    {'conductor': 8624, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8624.c1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 180011
    {'conductor': 8624, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8624.c1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  {'adelic_gens': [[1, 1, 21, 0], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 20, 3], [13, 2, 13, 3]], 'adelic_image': '22.2.0.?', 'conductor': 8624, 'lmfdb_label': '8624.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 357259
    {'lmfdb_iso': '8624.c', 'p': 5, 'prec': 20, 'unit': 13258640485044, 'val': 1}
  • id: 357266
    {'lmfdb_iso': '8624.c', 'p': 17, 'prec': 20, 'unit': 6568894370648356009258, 'val': 1}
  • id: 357256
    {'lmfdb_iso': '8624.c', 'p': 19, 'prec': 20, 'unit': 1923253737023797718439313, 'val': 1}
  • id: 357271
    {'lmfdb_iso': '8624.c', 'p': 23, 'prec': 20, 'unit': 8390172136397588016448345, 'val': 1}
  • id: 357264
    {'lmfdb_iso': '8624.c', 'p': 29, 'prec': 20, 'unit': 3144604047402715933733581331, 'val': 1}
  • id: 357261
    {'lmfdb_iso': '8624.c', 'p': 31, 'prec': 20, 'unit': 6241392503206149462187386738, 'val': 1}
  • id: 357275
    {'lmfdb_iso': '8624.c', 'p': 37, 'prec': 20, 'unit': 175433889480991984459450133786, 'val': 1}
  • id: 357262
    {'lmfdb_iso': '8624.c', 'p': 41, 'prec': 20, 'unit': 1176209075008786951812945324362, 'val': 1}
  • id: 357263
    {'lmfdb_iso': '8624.c', 'p': 43, 'prec': 20, 'unit': 10210190333818633492902261151522, 'val': 1}
  • id: 357273
    {'lmfdb_iso': '8624.c', 'p': 47, 'prec': 20, 'unit': 49278068319163456365218467004841, 'val': 1}
  • id: 357268
    {'lmfdb_iso': '8624.c', 'p': 53, 'prec': 20, 'unit': 218429967618159875943248884268032, 'val': 1}
  • id: 357269
    {'lmfdb_iso': '8624.c', 'p': 59, 'prec': 20, 'unit': 2023457448752128733366863415925389, 'val': 1}
  • id: 357274
    {'lmfdb_iso': '8624.c', 'p': 61, 'prec': 20, 'unit': 1893640049821493987514994042503418, 'val': 1}
  • id: 357258
    {'lmfdb_iso': '8624.c', 'p': 67, 'prec': 20, 'unit': 35417952359319238290750689045415887, 'val': 1}
  • id: 357260
    {'lmfdb_iso': '8624.c', 'p': 71, 'prec': 20, 'unit': 68434225342806856491658202377251155, 'val': 1}
  • id: 357270
    {'lmfdb_iso': '8624.c', 'p': 73, 'prec': 20, 'unit': 71274394752953841474579222281381448, 'val': 1}
  • id: 357265
    {'lmfdb_iso': '8624.c', 'p': 79, 'prec': 20, 'unit': 529809643487435893221612104907837493, 'val': 1}
  • id: 357267
    {'lmfdb_iso': '8624.c', 'p': 83, 'prec': 20, 'unit': 1760268139238925123848531673312410995, 'val': 1}
  • id: 357272
    {'lmfdb_iso': '8624.c', 'p': 89, 'prec': 20, 'unit': 6313478537075115208168381342227736148, 'val': 1}
  • id: 357257
    {'lmfdb_iso': '8624.c', 'p': 97, 'prec': 20, 'unit': 1320345157747618930939609378416030651, 'val': 1}