Elliptic curve data - 17856.bs1

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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': '17856y', 'Clabel': '17856y2', 'Cnumber': 2, 'abc_quality': 1.0100188200478981, 'absD': 32826695738720256, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 0, 0, -803532, 277375088], 'analytic_rank': 1, 'bad_primes': [2, 3, 31], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 17856, 'degree': 153600, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1153672252670888538626717915', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 44, 'isogeny_degrees': [1, 5], 'jinv': [-300238092661681, 171774906], 'lmfdb_iso': '17856.bs', 'lmfdb_label': '17856.bs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1395, -20181], 'min_quad_twist_disc': -24, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '120.24.0.?', '620.24.0.?', '744.2.0.?', '3720.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.32430507168403762942054023912', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 279], [3, 8, 1984], [5, 2, 576], [31, 32, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52634031009311604403920099085', 'prec': 103}, 'szpiro_ratio': 5.3528498724708795, '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, 0, 0, 1, 0, -2, 0, 0, 0, -3, 0, 1, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, 0, 1, -2, -3, 1, -3, 5, -4, 0, 1, 2, -2, 6, 7, 14, 10, -7, 7, 3, -6, 15, -1, -10, 13], 'class_deg': 5, 'class_size': 2, 'conductor': 17856, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '17856.bs', 'trace_hash': 65675449003109914}
• 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': '0.014541706461351273931957665231', 'prec': 107}, 'conductor': 17856, 'gens': [[494, 992, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.32430507168403762942054023912', 'prec': 103}], 'lmfdb_label': '17856.bs1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36478880982933032151546572177', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7321144448494296206528527838636112282', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [], 'xcoord_integral_points': [308, 494]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 1, 0], '31': [2, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '17856.bs1'}
• ec_torsion_growth •

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

  
  
  • id: 914246
    {'degree': 3, 'field': [-6, -6, -1, 1], 'lmfdb_label': '17856.bs1', 'torsion': [2]}
  • id: 914247
    {'degree': 4, 'field': [180, 0, -30, 0, 1], 'lmfdb_label': '17856.bs1', 'torsion': [5]}
  • id: 914248
    {'degree': 6, 'field': [888, -696, 214, -20, -3, -2, 1], 'lmfdb_label': '17856.bs1', 'torsion': [2, 2]}
  • id: 914249
    {'degree': 8, 'field': [-768, 0, -282, 0, 180, 0, 28, 0, 1], 'lmfdb_label': '17856.bs1', 'torsion': [3]}
  • id: 914250
    {'degree': 10, 'field': [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '17856.bs1', 'torsion': [5]}
  • id: 914251
    {'degree': 12, 'field': [-6696, 0, 30276, 0, -2628, 0, -1428, 0, 138, 0, 1, 0, 1], 'lmfdb_label': '17856.bs1', 'torsion': [4]}
  • id: 914252
    {'degree': 12, 'field': [4500, 0, -9750, 0, 6025, 0, -1600, 0, 275, 0, -20, 0, 1], 'lmfdb_label': '17856.bs1', 'torsion': [10]}
• 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: 400337
    {'conductor': 17856, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '17856.bs1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 400338
    {'conductor': 17856, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17856.bs1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 400339
    {'conductor': 17856, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '17856.bs1', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1783146
    {'adelic_gens': [[1801, 10, 1565, 51], [6, 13, 3665, 3601], [1, 0, 10, 1], [2479, 3710, 1235, 3669], [2791, 10, 2795, 51], [1859, 3710, 1855, 3669], [3711, 10, 3710, 11], [937, 1870, 3680, 2361], [1, 10, 0, 1]], 'adelic_image': '3720.48.1.?', 'conductor': 17856, 'lmfdb_label': '17856.bs1', 'prime': 0}
  • id: 83589
    {'conductor': 17856, 'elladic_image': '5.12.0.2', 'lmfdb_label': '17856.bs1', 'modell_image': '5B.4.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 818590
    {'lmfdb_iso': '17856.bs', 'p': 5, 'prec': 20, 'unit': 76675718785634, 'val': 0}
  • id: 818591
    {'lmfdb_iso': '17856.bs', 'p': 7, 'prec': 20, 'unit': 641975262348556, 'val': 1}
  • id: 818596
    {'lmfdb_iso': '17856.bs', 'p': 11, 'prec': 20, 'unit': 44672045358733129059, 'val': 1}
  • id: 818594
    {'lmfdb_iso': '17856.bs', 'p': 13, 'prec': 20, 'unit': 17466258264199969680403, 'val': -1}
  • id: 818597
    {'lmfdb_iso': '17856.bs', 'p': 17, 'prec': 20, 'unit': 91061812249377648239299, 'val': 1}
  • id: 818598
    {'lmfdb_iso': '17856.bs', 'p': 19, 'prec': 20, 'unit': 99805948808462826195002, 'val': 2}
  • id: 818602
    {'lmfdb_iso': '17856.bs', 'p': 23, 'prec': 20, 'unit': 48255141993226604008055529, 'val': 1}
  • id: 818607
    {'lmfdb_iso': '17856.bs', 'p': 37, 'prec': 20, 'unit': 23819266687672938563814234660, 'val': 1}
  • id: 818592
    {'lmfdb_iso': '17856.bs', 'p': 41, 'prec': 20, 'unit': 552670139026445451326967530440, 'val': 1}
  • id: 818593
    {'lmfdb_iso': '17856.bs', 'p': 43, 'prec': 20, 'unit': 3799477699316432593543911869197, 'val': 1}
  • id: 818605
    {'lmfdb_iso': '17856.bs', 'p': 47, 'prec': 20, 'unit': 14554054509304185562083882383730, 'val': 1}
  • id: 818599
    {'lmfdb_iso': '17856.bs', 'p': 53, 'prec': 20, 'unit': 370232818563294185873273573334299, 'val': 1}
  • id: 818600
    {'lmfdb_iso': '17856.bs', 'p': 59, 'prec': 20, 'unit': 1891647900853795026871527602353125, 'val': 1}
  • id: 818606
    {'lmfdb_iso': '17856.bs', 'p': 61, 'prec': 20, 'unit': 549776572849337568995602341940222, 'val': 1}
  • id: 818589
    {'lmfdb_iso': '17856.bs', 'p': 67, 'prec': 20, 'unit': 24744912401124245017478640742147089, 'val': 1}
  • id: 818604
    {'lmfdb_iso': '17856.bs', 'p': 71, 'prec': 20, 'unit': 51383634162656065389373822172923518, 'val': 1}
  • id: 818601
    {'lmfdb_iso': '17856.bs', 'p': 73, 'prec': 20, 'unit': 195034991631740675547829359098620857, 'val': 1}
  • id: 818595
    {'lmfdb_iso': '17856.bs', 'p': 79, 'prec': 20, 'unit': 791072771760002400133481388812268679, 'val': 1}
  • id: 818588
    {'lmfdb_iso': '17856.bs', 'p': 83, 'prec': 20, 'unit': 1820598675288943500386244789773555031, 'val': 1}
  • id: 818603
    {'lmfdb_iso': '17856.bs', 'p': 89, 'prec': 20, 'unit': 9342034871254813438346512917503403970, 'val': 1}
  • id: 818587
    {'lmfdb_iso': '17856.bs', 'p': 97, 'prec': 20, 'unit': 1713740713179693657867682382458946456, 'val': 1}