Elliptic curve data - 206400.gh1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '206400bg', 'Clabel': '206400bg2', 'Cnumber': 2, 'abc_quality': 1.074091800502521, 'absD': 28653619366440000000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5160, 'ainvs': [0, 1, 0, -111545633, -373248619137], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 206400, 'degree': 43352064, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6028050064752593179437158600', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 163, 'isogeny_degrees': [1, 2], 'jinv': [299786086083570891272, 55964100325078125], 'lmfdb_iso': '206400.gh', 'lmfdb_label': '206400.gh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1115456, 373583256], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '516.6.0.?', '5160.12.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9316520745582774938717960416', 'prec': 100}, 'szpiro_ratio': 5.4915664484577835, '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, 1, 0, 0, 0, -2, 0, 1, 0, -2, 0, -2, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, 1, 0, -2, -2, -2, 4, 2, -2, 6, 8, 10, 2, 1, 6, -6, -6, 0, 12, -8, 4, 16, 0, 2, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 206400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '206400.gh', 'trace_hash': 1323749500890095395}
• 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': '0.00074240917875014688942454812579', 'prec': 113}, 'conductor': 206400, 'gens': [], 'heights': [], 'lmfdb_label': '206400.gh1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.047055018082678488747622199063', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3879613019528511898287983325578789776', 'prec': 130}, 'tamagawa_product': 288, 'torsion_generators': [[-8087, 0, 1]], 'xcoord_integral_points': [-8087]}
• lmfdb_label 206400.gh1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9026820
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '206400.gh1', 'torsion': [2, 2]}
  • id: 9026821
    {'degree': 4, 'field': [10, 0, 13, 0, 1], 'lmfdb_label': '206400.gh1', 'torsion': [4]}
  • id: 9026824
    {'degree': 8, 'field': [-10800, 0, 11520, 0, -360, 0, 0, 0, 1], 'lmfdb_label': '206400.gh1', 'torsion': [6]}
  • id: 9026822
    {'degree': 8, 'field': [81, 0, -17108, 0, 1334, 0, -52, 0, 1], 'lmfdb_label': '206400.gh1', 'torsion': [2, 4]}
  • id: 9026823
    {'degree': 8, 'field': [57600, 0, -8520, 0, 529, 0, -14, 0, 1], 'lmfdb_label': '206400.gh1', 'torsion': [2, 4]}
  • id: 9026826
    {'degree': 16, 'field': [-11023776, -24364800, 22788864, 26437440, -39864000, 24651360, -7636768, -738240, 1298240, -383040, 47672, -5280, 1012, 0, -20, 0, 1], 'lmfdb_label': '206400.gh1', 'torsion': [2, 6]}
  • id: 9026825
    {'degree': 16, 'field': [25081056900, 0, -15174948600, 0, 4996173504, 0, -803775012, 0, 42927685, 0, 905660, 0, 5310, 0, -232, 0, 1], 'lmfdb_label': '206400.gh1', '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: 5110778
    {'conductor': 206400, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '206400.gh1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5110779
    {'conductor': 206400, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '206400.gh1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
  • id: 5110780
    {'conductor': 206400, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '206400.gh1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5110781
    {'conductor': 206400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '206400.gh1', 'prime': 43, '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: 2984927
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1034, 1, 2063, 0], [4561, 4, 3962, 9], [2, 1, 2579, 0], [1937, 3226, 3224, 1935], [5157, 4, 5156, 5], [1721, 4, 3442, 9]], 'adelic_image': '5160.12.0.?', 'conductor': 206400, 'lmfdb_label': '206400.gh1', 'prime': 0}
  • id: 762513
    {'conductor': 206400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '206400.gh1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 206400.gh does not appear in ec_padic