Elliptic curve data - 17325.bl2

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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': '17325x', 'Clabel': '17325x1', 'Cnumber': 1, 'abc_quality': 0.8926246805538307, 'absD': 472745109375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [1, -1, 0, 783, -32184], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17325, 'degree': 18432, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92143194907898375335600476362', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [4657463, 41503], 'lmfdb_iso': '17325.bl', 'lmfdb_label': '17325.bl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4, 11], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '44.6.0.b.1', '308.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0685137470465373116591840595', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 6, 275], [5, 14, 693], [7, 8, 2475], [11, 12, 1575]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43259315147212127964199752145', 'prec': 107}, 'szpiro_ratio': 3.511242420052845, '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, 1, 0, -1, 0, 0, 1, -3, 0, 0, -1, 0, -4, 1, 0, -1, 4, 0, 0, 0], 'aplist': [1, 0, 0, 1, -1, -4, 4, 0, -4, 6, 10, 6, -4, -12, -10, -6, -2, 0, -8, 12, 8, 8, 0, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 17325, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17325.bl', 'trace_hash': 1594910632499684812}
• 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': '0.15836323985485822723537852929', 'prec': 103}, 'conductor': 17325, 'gens': [[124, 1338, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0685137470465373116591840595', 'prec': 100}], 'lmfdb_label': '17325.bl2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.46261483913868074382095071625', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7415509260765016539098916923406059778', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[24, -12, 1]], 'xcoord_integral_points': [24, 124]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [2, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 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': '17325.bl2'}
• ec_torsion_growth •

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

  
  
  • id: 884496
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '17325.bl2', 'torsion': [2, 2]}
  • id: 884497
    {'degree': 4, 'field': [-380, 140, 26, -2, 1], 'lmfdb_label': '17325.bl2', 'torsion': [4]}
  • id: 884500
    {'degree': 8, 'field': [-21, -22, -26, 12, 13, 11, -6, -1, 1], 'lmfdb_label': '17325.bl2', 'torsion': [6]}
  • id: 884498
    {'degree': 8, 'field': [18796, -6530, 2029, -1021, 261, -92, 13, -1, 1], 'lmfdb_label': '17325.bl2', 'torsion': [2, 4]}
  • id: 884499
    {'degree': 8, 'field': [37629, 13338, -4458, 144, 379, -40, 50, -2, 1], 'lmfdb_label': '17325.bl2', 'torsion': [2, 4]}
  • id: 884502
    {'degree': 16, 'field': [39439, -84624, 55077, 11985, -19466, 1653, -2098, 5742, -3102, 594, 737, -426, 163, -48, 18, -6, 1], 'lmfdb_label': '17325.bl2', 'torsion': [2, 6]}
  • id: 884501
    {'degree': 16, 'field': [91291765, 16729920, -271923906, 548859844, -372538988, 123159776, -50181294, 7983820, -2195655, 132752, -25578, -1300, 884, -336, 68, -8, 1], 'lmfdb_label': '17325.bl2', '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: 385813
    {'conductor': 17325, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17325.bl2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 385814
    {'conductor': 17325, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17325.bl2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 385815
    {'conductor': 17325, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17325.bl2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 385816
    {'conductor': 17325, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17325.bl2', 'prime': 11, '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: 1779134
    {'adelic_gens': [[1, 0, 4, 1], [90, 1, 263, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [81, 232, 76, 231], [57, 4, 114, 9], [305, 4, 304, 5]], 'adelic_image': '308.12.0.?', 'conductor': 17325, 'lmfdb_label': '17325.bl2', 'prime': 0}
  • id: 80930
    {'conductor': 17325, 'elladic_image': '2.3.0.1', 'lmfdb_label': '17325.bl2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 788930
    {'lmfdb_iso': '17325.bl', 'p': 13, 'prec': 20, 'unit': 250217242533634074280, 'val': 1}
  • id: 788932
    {'lmfdb_iso': '17325.bl', 'p': 17, 'prec': 20, 'unit': 83845640038210766176636, 'val': 1}
  • id: 788936
    {'lmfdb_iso': '17325.bl', 'p': 23, 'prec': 20, 'unit': 56586664920129553457996152, 'val': 1}
  • id: 788939
    {'lmfdb_iso': '17325.bl', 'p': 29, 'prec': 20, 'unit': 2962752840082538830717629923, 'val': 1}
  • id: 788940
    {'lmfdb_iso': '17325.bl', 'p': 31, 'prec': 20, 'unit': 5353412138295699806734954048, 'val': 1}
  • id: 788926
    {'lmfdb_iso': '17325.bl', 'p': 37, 'prec': 20, 'unit': 115108159352032597466885845748, 'val': 1}
  • id: 788928
    {'lmfdb_iso': '17325.bl', 'p': 41, 'prec': 20, 'unit': 950604255926805425774403928594, 'val': 1}
  • id: 788929
    {'lmfdb_iso': '17325.bl', 'p': 43, 'prec': 20, 'unit': 5704133811268031990543148515914, 'val': 1}
  • id: 788938
    {'lmfdb_iso': '17325.bl', 'p': 47, 'prec': 20, 'unit': 5446821677986955646501689427495, 'val': 1}
  • id: 788933
    {'lmfdb_iso': '17325.bl', 'p': 53, 'prec': 20, 'unit': 534465707816460967243176192756047, 'val': 1}
  • id: 788934
    {'lmfdb_iso': '17325.bl', 'p': 59, 'prec': 20, 'unit': 622132329816525598582540989267589, 'val': 1}
  • id: 788925
    {'lmfdb_iso': '17325.bl', 'p': 67, 'prec': 20, 'unit': 25092851447434571807634206716151533, 'val': 1}
  • id: 788927
    {'lmfdb_iso': '17325.bl', 'p': 71, 'prec': 20, 'unit': 54406111843819850670899688490598292, 'val': 1}
  • id: 788935
    {'lmfdb_iso': '17325.bl', 'p': 73, 'prec': 20, 'unit': 13039301823529936717744959279894846, 'val': 1}
  • id: 788931
    {'lmfdb_iso': '17325.bl', 'p': 79, 'prec': 20, 'unit': 441100215432317473387396110856554280, 'val': 1}
  • id: 788937
    {'lmfdb_iso': '17325.bl', 'p': 89, 'prec': 20, 'unit': 1728608070837841986088745893887782809, 'val': 1}
  • id: 788924
    {'lmfdb_iso': '17325.bl', 'p': 97, 'prec': 20, 'unit': 18242924270895887685138163342469619441, 'val': 1}