Elliptic curve data - 6450.bh1

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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': '6450bf', 'Clabel': '6450bf1', 'Cnumber': 1, 'abc_quality': 1.0047908452218182, 'absD': 24074496000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1032, 'ainvs': [1, 0, 0, -47913, 4025817], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6450, 'degree': 25088, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4555259874371868795179664080', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [778510269523657, 1540767744], 'lmfdb_iso': '6450.bh', 'lmfdb_label': '6450.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1916, 31440], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '258.6.0.?', '1032.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 21, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.10029912094957997008677652049', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3225], [3, 4, 2150], [5, 14, 258], [7, 2, 1075], [43, 44, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.65080703122013669221758674139', 'prec': 103}, 'szpiro_ratio': 5.00978742990314, '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, -2, 1, 1, 0, 0, 1, -2, -2, 0, 1, -6, 1, 4, 0], 'aplist': [1, 1, 0, -2, 0, -2, -6, 4, -6, -2, 4, -4, -2, -1, -6, 4, -8, -12, -4, 0, 14, 8, -4, 10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 6450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6450.bh', 'trace_hash': 1413798428435570560}
• 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': '0.054418452902351438631122764752', 'prec': 107}, 'conductor': 6450, 'gens': [[102, 399, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.10029912094957997008677652049', 'prec': 103}], 'lmfdb_label': '6450.bh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.67447891811309883621037536265', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6296649734052193738304115562101677630', 'prec': 130}, 'tamagawa_product': 392, 'torsion_generators': [[122, -61, 1]], 'xcoord_integral_points': [-198, -78, 72, 102, 122, 132, 138, 186, 282, 606, 2082]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [6, 0], '5': 'a', '7': [5, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6450.bh1'}
• ec_torsion_growth •

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

  
  
  • id: 337859
    {'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '6450.bh1', 'torsion': [2, 2]}
  • id: 337860
    {'degree': 4, 'field': [214, 16, -25, -2, 1], 'lmfdb_label': '6450.bh1', 'torsion': [4]}
  • id: 337861
    {'degree': 8, 'field': [2704, 0, -145018, 0, 9213, 0, -184, 0, 1], 'lmfdb_label': '6450.bh1', 'torsion': [2, 4]}
  • id: 337863
    {'degree': 8, 'field': [68256, -29376, 54, -1086, 330, -141, 19, -1, 1], 'lmfdb_label': '6450.bh1', 'torsion': [6]}
  • id: 337862
    {'degree': 8, 'field': [155394, -192600, 91389, -22026, 3217, -268, -1, -2, 1], 'lmfdb_label': '6450.bh1', 'torsion': [2, 4]}
  • id: 337864
    {'degree': 16, 'field': [39576, -221760, 661272, -1102176, 1157926, -871080, 546448, -257312, 115923, -41400, 15760, -4704, 1330, -280, 60, -8, 1], 'lmfdb_label': '6450.bh1', 'torsion': [8]}
  • id: 337865
    {'degree': 16, 'field': [164561729536, -130112949248, -124789340160, 31432548352, 2293122304, -2057679648, 118029016, 51213820, -9199674, -720401, 220450, -20772, -2957, 523, -36, -2, 1], 'lmfdb_label': '6450.bh1', 'torsion': [2, 6]}
• 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: 130130
    {'conductor': 6450, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '6450.bh1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 130131
    {'conductor': 6450, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '6450.bh1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 130132
    {'conductor': 6450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6450.bh1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 130133
    {'conductor': 6450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6450.bh1', 'prime': 43, 'reduction_type': -1, '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: 1706424
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [866, 1, 599, 0], [649, 388, 128, 903], [517, 4, 2, 9], [1029, 4, 1028, 5], [346, 1, 343, 0]], 'adelic_image': '1032.12.0.?', 'conductor': 6450, 'lmfdb_label': '6450.bh1', 'prime': 0}
  • id: 31854
    {'conductor': 6450, 'elladic_image': '8.6.0.4', 'lmfdb_label': '6450.bh1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 255024
    {'lmfdb_iso': '6450.bh', 'p': 7, 'prec': 20, 'unit': 8601147091753075, 'val': 1}
  • id: 255028
    {'lmfdb_iso': '6450.bh', 'p': 13, 'prec': 20, 'unit': 678882087301116992028, 'val': 1}
  • id: 255030
    {'lmfdb_iso': '6450.bh', 'p': 17, 'prec': 20, 'unit': 120615592717793984561704, 'val': 1}
  • id: 255020
    {'lmfdb_iso': '6450.bh', 'p': 19, 'prec': 20, 'unit': 1582476318991610270701381, 'val': 1}
  • id: 255026
    {'lmfdb_iso': '6450.bh', 'p': 23, 'prec': 20, 'unit': 12199994337097408347143566, 'val': 1}
  • id: 255027
    {'lmfdb_iso': '6450.bh', 'p': 29, 'prec': 20, 'unit': 1733280206136869090601648714, 'val': 1}
  • id: 255038
    {'lmfdb_iso': '6450.bh', 'p': 31, 'prec': 20, 'unit': 10669994102335502253520882802, 'val': 1}
  • id: 255023
    {'lmfdb_iso': '6450.bh', 'p': 37, 'prec': 20, 'unit': 241633685871135546809373071469, 'val': 1}
  • id: 255025
    {'lmfdb_iso': '6450.bh', 'p': 41, 'prec': 20, 'unit': 2637827954172275452955039362820, 'val': 1}
  • id: 255036
    {'lmfdb_iso': '6450.bh', 'p': 47, 'prec': 20, 'unit': 11606331804214879847330518022789, 'val': 1}
  • id: 255032
    {'lmfdb_iso': '6450.bh', 'p': 53, 'prec': 20, 'unit': 537086692480362583254207124160024, 'val': 1}
  • id: 255033
    {'lmfdb_iso': '6450.bh', 'p': 59, 'prec': 20, 'unit': 4015761855698795519737127665572675, 'val': 1}
  • id: 255037
    {'lmfdb_iso': '6450.bh', 'p': 61, 'prec': 20, 'unit': 7350003980098692531064860218573142, 'val': 1}
  • id: 255022
    {'lmfdb_iso': '6450.bh', 'p': 67, 'prec': 20, 'unit': 19810440807391962499125974980867086, 'val': 1}
  • id: 255034
    {'lmfdb_iso': '6450.bh', 'p': 73, 'prec': 20, 'unit': 91769331107244432923242837174344432, 'val': 1}
  • id: 255029
    {'lmfdb_iso': '6450.bh', 'p': 79, 'prec': 20, 'unit': 837619251858344424139835920987721594, 'val': 1}
  • id: 255031
    {'lmfdb_iso': '6450.bh', 'p': 83, 'prec': 20, 'unit': 227646452308168202276336997662517733, 'val': 1}
  • id: 255035
    {'lmfdb_iso': '6450.bh', 'p': 89, 'prec': 20, 'unit': 5926976837918110496119926216840472044, 'val': 1}
  • id: 255021
    {'lmfdb_iso': '6450.bh', 'p': 97, 'prec': 20, 'unit': 22271284945167195011391583543450800307, 'val': 1}