Elliptic curve data - 177450.bc1

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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': '177450ka', 'Clabel': '177450ka2', 'Cnumber': 2, 'abc_quality': 1.087925596676451, 'absD': 3266088242508000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [1, 1, 0, -457715427900, -119190635459550000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 177450, 'degree': 718502400, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.8850282634755593013862309588', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 28, 'isogeny_degrees': [1, 3], 'jinv': [-23763856998804796987128199384369, 7318708992000], 'lmfdb_iso': '177450.bc', 'lmfdb_label': '177450.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -18308617116, -953525083676400], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.1', '24.8.0-3.a.1.6', '120.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '383.77589467627710406778165835', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 12675], [3, 4, 8450], [5, 18, 2366], [7, 8, 25350], [11, 2, 88725], [13, 62, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2253261881046635354013554783', 'prec': 100}, 'szpiro_ratio': 7.625248774729215, '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, -1, -1, 1, 0, 1, -1, -1, 1, 0, 3, -1, 0, 1, 0, 1, -6, -1, 2, 0], 'aplist': [-1, -1, 0, -1, 3, 0, -6, 2, -3, 3, 5, 1, 6, 13, -3, 0, 3, 8, 4, 0, -2, 11, -12, 6, 16], 'class_deg': 3, 'class_size': 2, 'conductor': 177450, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '177450.bc', 'trace_hash': 1681819780179209371}
• 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': '0.000057137122171262264314872684174', 'prec': 117}, 'conductor': 177450, 'gens': [[3566247873049455001439976171834941361238106948457381006686478677970909596671055704961142760371380505087707928015928897737978314663535660801738296443290286540881609977375, 6149353793040266163535786198141761695373852267215117764985041348878884455480436821943197490216482202709597711505107530452857492875927945358492374017228919906203739624651109586327882659006171471391153804000072245312002616228188293563323879366873373162625, 1415436988926970891357397720788539251594733571863282973756403331673891301782117261]], 'heights': [{'__RealLiteral__': 0, 'data': '383.77589467627710406778165835', 'prec': 100}], 'lmfdb_label': '177450.bc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0029021554507515143928256918547', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4551092184071867669972350566440660951', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 177450.bc1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7862100
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '177450.bc1', 'torsion': [3]}
  • id: 7862101
    {'degree': 3, 'field': [51, 9, -1, 1], 'lmfdb_label': '177450.bc1', 'torsion': [2]}
  • id: 7862104
    {'degree': 6, 'field': [1156, 1598, 540, -77, -33, -1, 1], 'lmfdb_label': '177450.bc1', 'torsion': [6]}
  • id: 7862102
    {'degree': 6, 'field': [4896, -4272, 1618, -224, 3, -2, 1], 'lmfdb_label': '177450.bc1', 'torsion': [2, 2]}
  • id: 7862103
    {'degree': 6, 'field': [220895, -4215, 1404, -931, 0, -3, 1], 'lmfdb_label': '177450.bc1', 'torsion': [3]}
  • id: 7862107
    {'degree': 12, 'field': [166464, 0, 144600, 0, 61516, 0, 10434, 0, 1001, 0, 48, 0, 1], 'lmfdb_label': '177450.bc1', 'torsion': [2, 6]}
  • id: 7862106
    {'degree': 12, 'field': [65950561, 11124831, -3237147, -9506, -65037, -28545, 20450, -1407, -453, -10, 9, -3, 1], 'lmfdb_label': '177450.bc1', 'torsion': [3, 3]}
  • id: 7862105
    {'degree': 12, 'field': [90552684, 27383684, -13676043, -3063228, 1370879, -59024, -127087, 14160, 4481, 40, -49, -4, 1], 'lmfdb_label': '177450.bc1', 'torsion': [4]}
  • id: 7862109
    {'degree': 18, 'field': [-430308289, 876206079, -334047987, 686778636, 51777666, -283002642, 77849730, 12642840, -3559779, -535507, 675963, -148392, 20310, 3366, -1170, 132, 27, -9, 1], 'lmfdb_label': '177450.bc1', 'torsion': [6]}
  • id: 7862108
    {'degree': 18, 'field': [4698885350845440, -2267738056074240, 587927326406400, -45931672376640, 7589341020960, -1245049004160, 525913342236, -42245729640, 7245360036, 16015590, 158641560, -8079750, 2356435, -35880, 19125, -1510, 66, 0, 1], 'lmfdb_label': '177450.bc1', '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: 4391557
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '177450.bc1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4391558
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '177450.bc1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4391559
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '177450.bc1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4391560
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '177450.bc1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4391561
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '177450.bc1', 'prime': 13, 'reduction_type': 0, '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

  
  
  • id: 2806400
    {'adelic_gens': [[98, 27, 1, 106], [61, 6, 63, 19], [1, 0, 6, 1], [4, 3, 9, 7], [115, 6, 114, 7], [31, 6, 0, 1], [3, 4, 8, 11], [23, 114, 69, 101], [1, 6, 0, 1]], 'adelic_image': '120.16.0.?', 'conductor': 177450, 'lmfdb_label': '177450.bc1', 'prime': 0}
  • id: 666714
    {'conductor': 177450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '177450.bc1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 177450.bc does not appear in ec_padic