Elliptic curve data - 177450.bn1

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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': '177450ir', 'Clabel': '177450ir3', 'Cnumber': 3, 'abc_quality': 0.9876533568380934, 'absD': 584573027936625000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [1, 1, 0, -217475625, -1234513042875], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 177450, 'degree': 41803776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3168230748620778262659168738', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15082569606665230489, 7751016000], 'lmfdb_iso': '177450.bn', 'lmfdb_label': '177450.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51474, -4499228], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '56.6.0.c.1', '130.6.0.?', '168.48.0.?', '195.8.0.?', '390.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '12.332624020589890564381764741', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 4, 29575], [5, 18, 7098], [7, 8, 25350], [13, 98, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2296294399142592709387934864', 'prec': 100}, 'szpiro_ratio': 5.7259516640727846, '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, -1, 1, 0, 1, 1, -1, 1, 0, -6, -1, 0, -1, 0, 1, 0, -1, -8, 0], 'aplist': [-1, -1, 0, 1, -6, 0, 0, -8, 0, -6, -2, 2, 0, 10, -12, -12, 0, 2, -4, 0, 2, 8, -12, 0, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 177450, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '177450.bn', 'trace_hash': 1192322753312942582}
• 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': '0.0013153583384860385969000453121', 'prec': 110}, 'conductor': 177450, 'gens': [[33090, 5256255, 1], [77435, 10687865, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9488405823422216614514848696', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.5506674575163471871722775541', 'prec': 100}], 'lmfdb_label': '177450.bn1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.039313971718015474639576308428', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7575109112702280037850961514499096882', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-8510, 4255, 1]], 'xcoord_integral_points': [-8510, 29346, 33090, 179874]}
• lmfdb_label 177450.bn1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7861201
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '177450.bn1', 'torsion': [2, 2]}
  • id: 7861202
    {'degree': 2, 'field': [49, -1, 1], 'lmfdb_label': '177450.bn1', 'torsion': [6]}
  • id: 7861203
    {'degree': 4, 'field': [39, -10, 11, -2, 1], 'lmfdb_label': '177450.bn1', 'torsion': [4]}
  • id: 7861204
    {'degree': 4, 'field': [256, 16, 17, -1, 1], 'lmfdb_label': '177450.bn1', 'torsion': [2, 6]}
  • id: 7861205
    {'degree': 6, 'field': [-2626, -2847, 783, 53, -45, -3, 1], 'lmfdb_label': '177450.bn1', 'torsion': [2, 6]}
  • id: 7861206
    {'degree': 8, 'field': [-7604, -744, 3079, -718, -346, 184, -24, -2, 1], 'lmfdb_label': '177450.bn1', 'torsion': [2, 4]}
  • id: 7861207
    {'degree': 8, 'field': [3969, 4410, 119, 574, 1222, 102, -31, -2, 1], 'lmfdb_label': '177450.bn1', 'torsion': [2, 4]}
  • id: 7861208
    {'degree': 8, 'field': [71799, -39858, 15079, -3866, 1112, -206, 41, -2, 1], 'lmfdb_label': '177450.bn1', 'torsion': [12]}
  • id: 7861209
    {'degree': 12, 'field': [6895876, 7476222, 10161567, -1950845, 645810, -206853, 24251, -534, 1401, 29, 54, -3, 1], 'lmfdb_label': '177450.bn1', 'torsion': [6, 6]}
  • id: 7861211
    {'degree': 16, 'field': [715716, -1289304, 1037502, -1100100, 1065925, -514606, 292906, -254100, 110754, -29630, 8694, -1318, 510, -60, 28, -2, 1], 'lmfdb_label': '177450.bn1', 'torsion': [2, 12]}
  • id: 7861212
    {'degree': 16, 'field': [2235025, 0, 3311230, 0, 2684249, 0, 204690, 0, -65140, 0, -3054, 0, 905, 0, -50, 0, 1], 'lmfdb_label': '177450.bn1', 'torsion': [2, 12]}
  • id: 7861210
    {'degree': 16, 'field': [89451675999, -4447244088, 62224398936, 6041679840, 19696608324, 5287362912, 1613475756, 263951856, 82076553, 21656256, 2057968, 41992, 2834, 2128, 116, -8, 1], 'lmfdb_label': '177450.bn1', 'torsion': [8]}
  • id: 7861213
    {'degree': 18, 'field': [111938180719795, -149006933097945, 72778642074375, 6193934135920, -4357576426950, -401118851190, 263616552604, 22822087608, -8437176237, -603995135, 205055445, 11588808, -3932584, -170454, 51630, 2040, -327, -9, 1], 'lmfdb_label': '177450.bn1', 'torsion': [18]}
• 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: 4391157
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '177450.bn1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4391158
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '177450.bn1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4391159
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '177450.bn1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4391160
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '177450.bn1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4391161
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '177450.bn1', 'prime': 13, '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: 2806423
    {'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [3195, 5008, 3158, 4997], [7801, 12, 3126, 73], [1670, 10917, 4227, 8], [3641, 12, 9100, 1], [5461, 12, 6, 73], [10909, 12, 10908, 13], [1, 0, 12, 1], [11, 2, 10870, 10911], [10910, 10917, 6579, 8]], 'adelic_image': '10920.96.1.?', 'conductor': 177450, 'lmfdb_label': '177450.bn1', 'prime': 0}
  • id: 666734
    {'conductor': 177450, 'elladic_image': '2.3.0.1', 'lmfdb_label': '177450.bn1', 'modell_image': '2B', 'prime': 2}
  • id: 666735
    {'conductor': 177450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '177450.bn1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 177450.bn does not appear in ec_padic