Elliptic curve data - 11550.bh2

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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': '11550bh', 'Clabel': '11550bh1', 'Cnumber': 1, 'abc_quality': 0.8904473898013473, 'absD': 21656250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4620, 'ainvs': [1, 0, 1, -701, -952], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 11550, 'degree': 12800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67303778492021840841608225810', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [19465109, 11088], 'lmfdb_iso': '11550.bh', 'lmfdb_label': '11550.bh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -28, -19], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '770.6.0.?', '924.6.0.?', '4620.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 385], [3, 4, 3850], [5, 14, 462], [7, 8, 1650], [11, 12, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53404064940535687253448724182', 'prec': 107}, 'szpiro_ratio': 3.342698542885261, '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, 1, -1, 1, 0, -1, 1, 4, -1, 0, 1, -6, -1, 0, 0], 'aplist': [-1, 1, 0, 1, -1, 4, -6, 0, 2, 8, -10, 8, 10, 4, 0, -10, 0, 2, 16, -8, -12, -10, -6, 0, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 11550, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '11550.bh', 'trace_hash': 414570885088458636}
• 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': '0.26025962985669254624745801760', 'prec': 103}, 'conductor': 11550, 'gens': [], 'heights': [], 'lmfdb_label': '11550.bh2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0035260460951763293760206400', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0070520921903526587520412800473840897', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[27, -14, 1]], 'xcoord_integral_points': [27]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [3, 0], '5': 'a', '7': [1, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '11550.bh2'}
• ec_torsion_growth •

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

  
  
  • id: 597163
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '11550.bh2', 'torsion': [2, 2]}
  • id: 597164
    {'degree': 4, 'field': [36, 12, -26, -2, 1], 'lmfdb_label': '11550.bh2', 'torsion': [4]}
  • id: 597167
    {'degree': 8, 'field': [-166194, -35091, 33642, 2897, -1445, -7, 7, -4, 1], 'lmfdb_label': '11550.bh2', 'torsion': [6]}
  • id: 597166
    {'degree': 8, 'field': [129600, 0, -42000, 0, 4180, 0, -140, 0, 1], 'lmfdb_label': '11550.bh2', 'torsion': [2, 4]}
  • id: 597165
    {'degree': 8, 'field': [129600, 0, 31300, 0, -2545, 0, 20, 0, 1], 'lmfdb_label': '11550.bh2', 'torsion': [2, 4]}
  • id: 597168
    {'degree': 16, 'field': [10653696, 0, -15501312, 0, 5994240, 0, 41088, 0, -196016, 0, -15808, 0, 780, 0, 32, 0, 1], 'lmfdb_label': '11550.bh2', 'torsion': [8]}
  • id: 597169
    {'degree': 16, 'field': [970018780416, 1236591124944, 672650283872, 198114162316, 29756240528, -1069701164, -1670788612, -307541144, 5808114, 7177695, 171060, -72553, 7627, 665, -185, -4, 1], 'lmfdb_label': '11550.bh2', '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: 247955
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '11550.bh2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 247956
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11550.bh2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 247957
    {'conductor': 11550, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '11550.bh2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 247958
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11550.bh2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 247959
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11550.bh2', 'prime': 11, '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: 1740475
    {'adelic_gens': [[1, 0, 4, 1], [1541, 4, 3082, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1322, 1, 3959, 0], [928, 1, 923, 0], [3469, 1156, 3464, 1155], [4617, 4, 4616, 5], [422, 1, 2099, 0]], 'adelic_image': '4620.12.0.?', 'conductor': 11550, 'lmfdb_label': '11550.bh2', 'prime': 0}
  • id: 55311
    {'conductor': 11550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11550.bh2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11550.bh does not appear in ec_padic