Elliptic curve data - 327184.bl1

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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': '327184bl', 'Clabel': '327184bl2', 'Cnumber': 2, 'abc_quality': 0.9654972318102282, 'absD': 4506474953417347484434432, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1716, 'ainvs': [0, -1, 0, -812404688, -8911791767360], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 327184, 'degree': 89413632, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7793219895558986780275177865', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 37, 'isogeny_degrees': [1, 3], 'jinv': [115636266625, 8788], 'lmfdb_iso': '327184.bl', 'lmfdb_label': '327184.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2483, -47827], 'min_quad_twist_disc': 572, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '26.2.0.a.1', '78.8.0.?', '132.8.0.?', '1716.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.090973368262809278933606106', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 20449], [11, 32, 2704], [13, 98, 1936]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19454593040012378613474437071', 'prec': 107}, 'szpiro_ratio': 5.761421399650764, '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, -1, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -3, 0, -8, 0], 'aplist': [0, -1, 0, -2, 0, 0, -3, -8, -3, 9, 8, -8, -6, -1, 12, -3, 6, 7, 14, -12, 2, -1, 0, -12, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 327184, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '327184.bl', 'trace_hash': 1819084721978600565}
• 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': '0.00052158204070318837294970156726', 'prec': 113}, 'conductor': 327184, 'gens': [[175605096, 122376015008, 73]], 'heights': [{'__RealLiteral__': 0, 'data': '15.090973368262809278933606106', 'prec': 100}], 'lmfdb_label': '327184.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.028278634181817197014791887251', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4140169226291974196254726110980511460', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 327184.bl1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13734332
    {'degree': 2, 'field': [429, 0, 1], 'lmfdb_label': '327184.bl1', 'torsion': [3]}
  • id: 13734333
    {'degree': 3, 'field': [2, -7, -1, 1], 'lmfdb_label': '327184.bl1', 'torsion': [2]}
  • id: 13734335
    {'degree': 6, 'field': [-96668, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '327184.bl1', 'torsion': [3]}
  • id: 13734334
    {'degree': 6, 'field': [-4, -20, 5, 29, -12, -3, 1], 'lmfdb_label': '327184.bl1', 'torsion': [2, 2]}
  • id: 13734336
    {'degree': 6, 'field': [61776, 0, 7128, 0, 165, 0, 1], 'lmfdb_label': '327184.bl1', 'torsion': [6]}
  • id: 13734337
    {'degree': 12, 'field': [4544, -29117, 20102, 9042, -6607, -2706, 310, 902, 26, -77, -28, 0, 1], 'lmfdb_label': '327184.bl1', 'torsion': [4]}
  • id: 13734339
    {'degree': 12, 'field': [85156569, -15472242, 17435637, -4059306, 2366490, -419850, 166369, -23334, 6702, -590, 129, -6, 1], 'lmfdb_label': '327184.bl1', 'torsion': [2, 6]}
  • id: 13734338
    {'degree': 12, 'field': [9344508889, 580002, 1450041, -3866770, 1450110, 579882, -193195, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '327184.bl1', 'torsion': [3, 3]}
  • id: 13734341
    {'degree': 18, 'field': [-86671, -413868, -609158, -806822, -1572946, -1645576, -768191, -236612, -51588, 10482, 10758, 8104, 1203, 276, 18, -16, -12, -4, 1], 'lmfdb_label': '327184.bl1', 'torsion': [6]}
  • id: 13734340
    {'degree': 18, 'field': [9066880717921, -3915904288764, 2864835121941, -326734247398, 181882137411, 33278012118, 2729715119, 2859828816, 268115049, 41932358, 12047388, 1532232, 24992, 39546, 8595, -130, -6, 0, 1], 'lmfdb_label': '327184.bl1', 'torsion': [9]}
• 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: 8098844
    {'conductor': 327184, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '327184.bl1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8098845
    {'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '327184.bl1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8098846
    {'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '327184.bl1', 'prime': 13, 'reduction_type': 0, '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: 3712836
    {'adelic_gens': [[4, 3, 9, 7], [848, 1419, 517, 1255], [1711, 6, 1710, 7], [67, 1254, 825, 331], [1, 6, 0, 1], [3, 4, 8, 11], [857, 0, 0, 1715], [1, 0, 6, 1], [395, 462, 396, 461], [779, 0, 0, 1715]], 'adelic_image': '1716.16.0.?', 'conductor': 327184, 'lmfdb_label': '327184.bl1', 'prime': 0}
  • id: 1140960
    {'conductor': 327184, 'elladic_image': '3.4.0.1', 'lmfdb_label': '327184.bl1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 327184.bl does not appear in ec_padic