Elliptic curve data - 82800.fu1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '82800ba', 'Clabel': '82800ba2', 'Cnumber': 2, 'abc_quality': 0.8950584960350794, 'absD': 12340512000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [0, 0, 0, -7875, 209250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 82800, 'degree': 221184, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2244777643516969867282773391', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 150, 'isogeny_degrees': [1, 2], 'jinv': [2315250, 529], 'lmfdb_iso': '82800.fu', 'lmfdb_label': '82800.fu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -35, 62], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 6, 9200], [5, 14, 3312], [23, 24, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76493225171269124656885439064', 'prec': 107}, 'szpiro_ratio': 3.402271692868488, '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, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 2, 0, 0, 0, 6, 0, 6, 0], 'aplist': [0, 0, 0, 4, 6, 2, 6, 6, -1, 6, 0, 8, -6, -2, 8, -8, 4, -4, 2, -8, -6, -12, -10, -10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 82800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '82800.fu', 'trace_hash': 64004059260916695}
• 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': '0.086383764759654407326882329349', 'prec': 107}, 'conductor': 82800, 'gens': [], 'heights': [], 'lmfdb_label': '82800.fu1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.67078770027675575374333967045', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3663016022140460299467173636227602682', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[30, 0, 1]], 'xcoord_integral_points': [30]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '82800.fu1'}
• ec_torsion_growth •

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

  
  
  • id: 3886013
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '82800.fu1', 'torsion': [2, 2]}
  • id: 3886014
    {'degree': 4, 'field': [141, -39, -8, -1, 1], 'lmfdb_label': '82800.fu1', 'torsion': [4]}
  • id: 3886017
    {'degree': 8, 'field': [-1101, -3246, -282, 1056, -60, -162, 24, 0, 1], 'lmfdb_label': '82800.fu1', 'torsion': [6]}
  • id: 3886015
    {'degree': 8, 'field': [1, 0, -732, 0, -172, 0, -12, 0, 1], 'lmfdb_label': '82800.fu1', 'torsion': [2, 4]}
  • id: 3886016
    {'degree': 8, 'field': [13279, -12922, 2437, -58, 474, -50, -23, -2, 1], 'lmfdb_label': '82800.fu1', 'torsion': [2, 4]}
  • id: 3886019
    {'degree': 16, 'field': [-770729, 773816, 4570872, -3721880, 2606030, -1170132, 785254, -658828, 251784, -65308, 27184, -9672, 2360, -440, 42, -4, 1], 'lmfdb_label': '82800.fu1', 'torsion': [2, 6]}
  • id: 3886018
    {'degree': 16, 'field': [24542116, 0, 7268090, 0, -218113, 0, -307675, 0, 27829, 0, -2930, 0, 503, 0, -35, 0, 1], 'lmfdb_label': '82800.fu1', 'torsion': [8]}
• 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: 2015511
    {'conductor': 82800, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '82800.fu1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2015512
    {'conductor': 82800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '82800.fu1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2015513
    {'conductor': 82800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '82800.fu1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2015514
    {'conductor': 82800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '82800.fu1', 'prime': 23, 'reduction_type': -1, '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: 2209486
    {'adelic_gens': [[2, 1, 91, 0], [1, 2, 2, 5], [25, 162, 160, 23], [3, 4, 8, 11], [181, 4, 180, 5], [1, 4, 0, 1], [97, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 82800, 'lmfdb_label': '82800.fu1', 'prime': 0}
  • id: 338733
    {'conductor': 82800, 'elladic_image': '8.6.0.6', 'lmfdb_label': '82800.fu1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 82800.fu does not appear in ec_padic