Elliptic curve data - 17328.h2

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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': '17328t', 'Clabel': '17328t2', 'Cnumber': 2, 'abc_quality': 0.9917505328388966, 'absD': 8215448895553609728, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 456, 'ainvs': [0, -1, 0, -493968, -191860416], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17328, 'degree': 345600, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3312496252621154311180564659', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [-69173457625, 42633378], 'lmfdb_iso': '17328.h', 'lmfdb_label': '17328.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -85, -473], 'min_quad_twist_disc': 76, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '228.6.0.?', '456.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3914668987298374818592818170', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 361], [3, 4, 5776], [5, 2, 5776], [19, 200, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16588295511894989169631062850', 'prec': 103}, 'szpiro_ratio': 5.293954968071246, '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, -1, 0, 0, 0, -4, 0, 1, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, -4, -4, 0, -2, 0, 2, 6, 6, 8, -10, 12, -10, -2, 4, -10, 0, -16, -2, 10, 16, 2, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 17328, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17328.h', 'trace_hash': 1021005093452683886}
• 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': '0.0094428328809359921769303708803', 'prec': 110}, 'conductor': 17328, 'gens': [[709090, 596362614, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '8.3914668987298374818592818170', 'prec': 100}], 'lmfdb_label': '17328.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.087587721854289293012189806887', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9399578747016983359501566336991332049', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[849, 0, 1]], 'xcoord_integral_points': [849]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 1, 0], '7': [5, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': 'a', '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': '17328.h2'}
• ec_torsion_growth •

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

  
  
  • id: 885175
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '17328.h2', 'torsion': [2, 2]}
  • id: 885176
    {'degree': 4, 'field': [-2, 0, -7, 0, 1], 'lmfdb_label': '17328.h2', 'torsion': [4]}
  • id: 885179
    {'degree': 8, 'field': [-17328, 0, 5092, 0, -456, 0, 0, 0, 1], 'lmfdb_label': '17328.h2', 'torsion': [6]}
  • id: 885178
    {'degree': 8, 'field': [256, 0, 360, 0, 41, 0, -6, 0, 1], 'lmfdb_label': '17328.h2', 'torsion': [2, 4]}
  • id: 885177
    {'degree': 8, 'field': [43681, 0, 2052, 0, -344, 0, -12, 0, 1], 'lmfdb_label': '17328.h2', 'torsion': [2, 4]}
  • id: 885180
    {'degree': 16, 'field': [4096, 0, 10752, 0, 14464, 0, 3648, 0, -6816, 0, -456, 0, 226, 0, -21, 0, 1], 'lmfdb_label': '17328.h2', 'torsion': [8]}
  • id: 885181
    {'degree': 16, 'field': [58081, 0, 19261636, 0, 7089892, 0, -700020, 0, 52518, 0, -5940, 0, 292, 0, 4, 0, 1], 'lmfdb_label': '17328.h2', '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: 386108
    {'conductor': 17328, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '17328.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 386109
    {'conductor': 17328, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '17328.h2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 386110
    {'conductor': 17328, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '17328.h2', 'prime': 19, 'reduction_type': 0, '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: 1779241
    {'adelic_gens': [[1, 2, 2, 5], [305, 4, 154, 9], [1, 4, 0, 1], [97, 4, 194, 9], [172, 289, 57, 400], [453, 4, 452, 5], [2, 1, 227, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '456.12.0.?', 'conductor': 17328, 'lmfdb_label': '17328.h2', 'prime': 0}
  • id: 81026
    {'conductor': 17328, 'elladic_image': '8.6.0.5', 'lmfdb_label': '17328.h2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 789421
    {'lmfdb_iso': '17328.h', 'p': 7, 'prec': 20, 'unit': 870210909449927, 'val': 2}
  • id: 789419
    {'lmfdb_iso': '17328.h', 'p': 11, 'prec': 20, 'unit': 8048993218886868626, 'val': 1}
  • id: 789426
    {'lmfdb_iso': '17328.h', 'p': 17, 'prec': 20, 'unit': 150134170340900670097456, 'val': 1}
  • id: 789431
    {'lmfdb_iso': '17328.h', 'p': 23, 'prec': 20, 'unit': 46846519644765777640133941, 'val': 1}
  • id: 789424
    {'lmfdb_iso': '17328.h', 'p': 29, 'prec': 20, 'unit': 5482606581543980573560491460, 'val': 1}
  • id: 789436
    {'lmfdb_iso': '17328.h', 'p': 31, 'prec': 20, 'unit': 7269389346936362483980794597, 'val': 1}
  • id: 789420
    {'lmfdb_iso': '17328.h', 'p': 37, 'prec': 20, 'unit': 104713641924937523715366405893, 'val': 1}
  • id: 789422
    {'lmfdb_iso': '17328.h', 'p': 41, 'prec': 20, 'unit': 1665292590587010259105030755379, 'val': 1}
  • id: 789423
    {'lmfdb_iso': '17328.h', 'p': 43, 'prec': 20, 'unit': 5446738868642445951287971657183, 'val': 1}
  • id: 789434
    {'lmfdb_iso': '17328.h', 'p': 47, 'prec': 20, 'unit': 49761605075535705508463384179436, 'val': 1}
  • id: 789428
    {'lmfdb_iso': '17328.h', 'p': 53, 'prec': 20, 'unit': 317274285457125779110538537809779, 'val': 1}
  • id: 789429
    {'lmfdb_iso': '17328.h', 'p': 59, 'prec': 20, 'unit': 4038157552705615255290276889823094, 'val': 1}
  • id: 789435
    {'lmfdb_iso': '17328.h', 'p': 61, 'prec': 20, 'unit': 2338329779730351515844277692887527, 'val': 1}
  • id: 789433
    {'lmfdb_iso': '17328.h', 'p': 71, 'prec': 20, 'unit': 25792595670140942527597697921016812, 'val': 1}
  • id: 789430
    {'lmfdb_iso': '17328.h', 'p': 73, 'prec': 20, 'unit': 140112779402868108592003508317537940, 'val': 1}
  • id: 789425
    {'lmfdb_iso': '17328.h', 'p': 79, 'prec': 20, 'unit': 763354200736823695939264026844723, 'val': 2}
  • id: 789427
    {'lmfdb_iso': '17328.h', 'p': 83, 'prec': 20, 'unit': 1791773075644898057539676479340473665, 'val': 1}
  • id: 789432
    {'lmfdb_iso': '17328.h', 'p': 89, 'prec': 20, 'unit': 6108474017829901197814849941624604079, 'val': 1}
  • id: 789418
    {'lmfdb_iso': '17328.h', 'p': 97, 'prec': 20, 'unit': 974733665780718535064867780363502898, 'val': 1}