Elliptic curve data - 11760.a2

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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': '11760g', 'Clabel': '11760g2', 'Cnumber': 2, 'abc_quality': 1.019977122217451, 'absD': 20011282120772893440, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, -1, 0, -2241276, 1310048496], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 11760, 'degree': 322560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5042274851325852787548905513', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-120527903507632, 1937102445], 'lmfdb_iso': '11760.a', 'lmfdb_label': '11760.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -45740, 3832452], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.d.1', '70.6.0.a.1', '84.6.0.?', '420.12.0.?'], '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': '0.58269675296780342698105457941', 'prec': 103}, 'szpiro_ratio': 5.9225293309885485, '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, -1, 0, 0, 0, 1, 0, -4, 0, -2, 0, 1, 0, -6, 0, 2, 0], 'aplist': [0, -1, -1, 0, -4, -2, -6, 2, -2, -2, -2, 10, -6, -8, -8, -4, -8, 0, 8, -12, 10, -8, -4, 10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 11760, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '11760.a', 'trace_hash': 1868647614756853800}
• 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': '0.0066812180164367090068258384208', 'prec': 110}, 'conductor': 11760, 'gens': [], 'heights': [], 'lmfdb_label': '11760.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21679762938611524393566889263', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.43359525877223048787133778525725284060', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-1731, 0, 1]], 'xcoord_integral_points': [-1731]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '11760.a2'}
• ec_torsion_growth •

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

  
  
  • id: 607243
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '11760.a2', 'torsion': [2, 2]}
  • id: 607244
    {'degree': 4, 'field': [-5, 10, -4, -1, 1], 'lmfdb_label': '11760.a2', 'torsion': [4]}
  • id: 607247
    {'degree': 8, 'field': [-588, 0, 196, 0, -84, 0, 0, 0, 1], 'lmfdb_label': '11760.a2', 'torsion': [6]}
  • id: 607246
    {'degree': 8, 'field': [109, -130, -6, 71, -28, -2, 4, -3, 1], 'lmfdb_label': '11760.a2', 'torsion': [2, 4]}
  • id: 607245
    {'degree': 8, 'field': [2041, -3008, 3100, -1018, 599, -22, 10, -2, 1], 'lmfdb_label': '11760.a2', 'torsion': [2, 4]}
  • id: 607248
    {'degree': 16, 'field': [-38825, -31700, 54600, -26800, -3360, -66360, -35030, 50240, -9462, -8012, 4618, -120, -429, 112, -6, -4, 1], 'lmfdb_label': '11760.a2', 'torsion': [8]}
  • id: 607249
    {'degree': 16, 'field': [22359929, 13938260, -10085148, -7755420, 3935010, 108648, -312224, 196948, 855, -34040, 7072, 324, -418, 140, 0, -8, 1], 'lmfdb_label': '11760.a2', '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: 252772
    {'conductor': 11760, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11760.a2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 252773
    {'conductor': 11760, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '11760.a2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 252774
    {'conductor': 11760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11760.a2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 252775
    {'conductor': 11760, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '11760.a2', 'prime': 7, 'reduction_type': 0, '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: 1741882
    {'adelic_gens': [[281, 4, 142, 9], [1, 2, 2, 5], [124, 1, 179, 0], [1, 4, 0, 1], [317, 106, 104, 315], [417, 4, 416, 5], [1, 0, 4, 1], [3, 4, 8, 11], [254, 1, 83, 0]], 'adelic_image': '420.12.0.?', 'conductor': 11760, 'lmfdb_label': '11760.a2', 'prime': 0}
  • id: 56225
    {'conductor': 11760, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11760.a2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11760.a does not appear in ec_padic