Elliptic curve data - 11200.bq4

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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': '11200bu', 'Clabel': '11200bu1', 'Cnumber': 1, 'abc_quality': 1.0002264121867963, 'absD': 11468800000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 280, 'ainvs': [0, 0, 0, 3700, 138000], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11200, 'degree': 18432, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1902802181116590884067017116', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4], 'jinv': [1367631, 2800], 'lmfdb_iso': '11200.bq', 'lmfdb_label': '11200.bq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 2, -3], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '14.6.0.b.1', '28.12.0.g.1', '40.24.0-8.p.1.2', '56.24.0.bn.1', '280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 175], [5, 18, 448], [7, 8, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65415950894530906301952613720', 'prec': 107}, 'szpiro_ratio': 3.98911235881258, '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, -1, 0, -3, 0, 4, 0, -6, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 0, -1, 4, -6, -2, 0, 0, -6, -8, -10, 2, -4, 8, -2, -8, 14, 12, 16, -2, 8, -8, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 11200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '11200.bq', 'trace_hash': 1341923596981675502}
• 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': '0.092498723346050697017099802840', 'prec': 107}, 'conductor': 11200, 'gens': [], 'heights': [], 'lmfdb_label': '11200.bq4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.49564613954765504768035856475', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.99129227909531009536071712950905754658', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-30, 0, 1]], 'xcoord_integral_points': [-30]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '7': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '11200.bq4'}
• ec_torsion_growth •

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

  
  
  • id: 581450
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [4]}
  • id: 581449
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '11200.bq4', 'torsion': [2, 2]}
  • id: 581451
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [4]}
  • id: 581452
    {'degree': 4, 'field': [74, -24, 25, -2, 1], 'lmfdb_label': '11200.bq4', 'torsion': [2, 4]}
  • id: 581456
    {'degree': 8, 'field': [-10800, 0, -4320, 0, -360, 0, 0, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [6]}
  • id: 581455
    {'degree': 8, 'field': [14, 28, 30, 16, 7, -4, 2, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [8]}
  • id: 581454
    {'degree': 8, 'field': [25, 0, -290, 0, -9, 0, 2, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [8]}
  • id: 581453
    {'degree': 8, 'field': [64, 0, -10, 0, 41, 0, -10, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [2, 4]}
  • id: 581459
    {'degree': 16, 'field': [196, -784, 952, -280, 592, -544, 24, -148, 21, 184, 106, -104, 2, 0, 10, -4, 1], 'lmfdb_label': '11200.bq4', 'torsion': [2, 8]}
  • id: 581458
    {'degree': 16, 'field': [1225, 0, -1960, 0, 2534, 0, -2100, 0, 1255, 0, -444, 0, 150, 0, -20, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [2, 8]}
  • id: 581457
    {'degree': 16, 'field': [4096, 0, 0, 0, 144, 0, 0, 0, 1672, 0, 0, 0, 81, 0, 0, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [4, 4]}
  • id: 581462
    {'degree': 16, 'field': [640000, 0, 512000, 0, 102400, 0, 20000, 0, -800, 0, 1640, 0, 100, 0, 20, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [12]}
  • id: 581461
    {'degree': 16, 'field': [31360000, 0, -2576000, 0, -2452400, 0, 211000, 0, 15100, 0, -6350, 0, 820, 0, -50, 0, 1], 'lmfdb_label': '11200.bq4', 'torsion': [12]}
  • id: 581460
    {'degree': 16, 'field': [38794576, -88059904, 121453856, -72682176, 51411608, -19015424, 7868944, -1268208, 258313, 45576, -15284, 3032, -202, -168, 44, -8, 1], 'lmfdb_label': '11200.bq4', '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: 240421
    {'conductor': 11200, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '11200.bq4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 240422
    {'conductor': 11200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '11200.bq4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 240423
    {'conductor': 11200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11200.bq4', 'prime': 7, '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: 1738333
    {'adelic_gens': [[273, 8, 272, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [279, 60, 170, 89], [69, 130, 30, 229], [223, 0, 0, 279], [7, 6, 274, 275], [236, 225, 55, 6]], 'adelic_image': '280.48.0.?', 'conductor': 11200, 'lmfdb_label': '11200.bq4', 'prime': 0}
  • id: 53946
    {'conductor': 11200, 'elladic_image': '8.12.0.9', 'lmfdb_label': '11200.bq4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11200.bq does not appear in ec_padic