Elliptic curve data - 990.a1

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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': '990a', 'Clabel': '990a1', 'Cnumber': 1, 'abc_quality': 1.0701017651285518, 'absD': 29700, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, -1, 0, -15, 25], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 990, 'degree': 64, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.39707004747095572035572425891', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [14348907, 1100], 'lmfdb_iso': '990.a', 'lmfdb_label': '990.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -15, 25], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '66.6.0.a.1', '88.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.24613108623345381631855792004', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 33], [3, 6, 110], [5, 6, 198], [11, 12, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67172311963798314320453556814', 'prec': 107}, 'szpiro_ratio': 2.866898679933458, '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, 0, 1, -1, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 1, -2, 0, 2, -1], 'aplist': [-1, 0, -1, 0, -1, 0, -2, 2, -6, -2, 0, -6, -2, -2, 2, -2, -8, 4, -4, 2, -10, 4, -12, 0, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 990, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '990.a', 'trace_hash': 2161984435124342380}
• 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': '2.2125376062749419642989427538', 'prec': 100}, 'conductor': 990, 'gens': [[0, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.24613108623345381631855792004', 'prec': 103}], 'lmfdb_label': '990.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.6418359797132290754197190610', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7927380911417830975402379329306258909', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[2, -1, 1]], 'xcoord_integral_points': [-4, 0, 2, 3, 5, 51]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '990.a1'}
• ec_torsion_growth •

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

  
  
  • id: 47940
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '990.a1', 'torsion': [2, 2]}
  • id: 47941
    {'degree': 4, 'field': [15, -12, 0, 0, 1], 'lmfdb_label': '990.a1', 'torsion': [4]}
  • id: 47944
    {'degree': 8, 'field': [-12, 0, 0, 0, -12, 0, 7, 0, 1], 'lmfdb_label': '990.a1', 'torsion': [6]}
  • id: 47942
    {'degree': 8, 'field': [4, 0, 58, 0, 33, 0, 4, 0, 1], 'lmfdb_label': '990.a1', 'torsion': [2, 4]}
  • id: 47943
    {'degree': 8, 'field': [2104, -2248, 1088, -820, 148, 106, -31, -2, 1], 'lmfdb_label': '990.a1', 'torsion': [2, 4]}
  • id: 47946
    {'degree': 16, 'field': [-512, 1328, 6620, -22560, 45608, -58532, 49996, -28884, 9379, -210, -1442, 782, -184, 6, 14, -2, 1], 'lmfdb_label': '990.a1', 'torsion': [2, 6]}
  • id: 47945
    {'degree': 16, 'field': [4900, 25760, 52688, 63744, 80994, 106264, 88984, 48344, 25507, 6372, -1098, -928, 87, 96, -14, -4, 1], 'lmfdb_label': '990.a1', '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: 13689
    {'conductor': 990, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '990.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 13690
    {'conductor': 990, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '990.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 13691
    {'conductor': 990, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '990.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 13692
    {'conductor': 990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '990.a1', '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: 1670808
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [92, 1, 175, 0], [261, 4, 260, 5], [26, 1, 119, 0], [133, 4, 2, 9], [233, 34, 32, 231]], 'adelic_image': '264.12.0.?', 'conductor': 990, 'lmfdb_label': '990.a1', 'prime': 0}
  • id: 4629
    {'conductor': 990, 'elladic_image': '2.3.0.1', 'lmfdb_label': '990.a1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 22221
    {'lmfdb_iso': '990.a', 'p': 17, 'prec': 20, 'unit': 223415711807357795053261, 'val': 1}
  • id: 22212
    {'lmfdb_iso': '990.a', 'p': 19, 'prec': 20, 'unit': 218553754914013840276560, 'val': 1}
  • id: 22226
    {'lmfdb_iso': '990.a', 'p': 23, 'prec': 20, 'unit': 12448959086578857464956849, 'val': 1}
  • id: 22219
    {'lmfdb_iso': '990.a', 'p': 29, 'prec': 20, 'unit': 570211209576079419581683680, 'val': 1}
  • id: 22215
    {'lmfdb_iso': '990.a', 'p': 37, 'prec': 20, 'unit': 5868034664907903729001079231, 'val': 2}
  • id: 22217
    {'lmfdb_iso': '990.a', 'p': 41, 'prec': 20, 'unit': 4352032461878680493465172190587, 'val': 1}
  • id: 22218
    {'lmfdb_iso': '990.a', 'p': 43, 'prec': 20, 'unit': 5162279810334821900067381932731, 'val': 1}
  • id: 22227
    {'lmfdb_iso': '990.a', 'p': 47, 'prec': 20, 'unit': 17228603842860298373599621776666, 'val': 1}
  • id: 22223
    {'lmfdb_iso': '990.a', 'p': 53, 'prec': 20, 'unit': 167743306167163141563025429806882, 'val': 1}
  • id: 22224
    {'lmfdb_iso': '990.a', 'p': 59, 'prec': 20, 'unit': 1419100061591392144809624491614876, 'val': 1}
  • id: 22228
    {'lmfdb_iso': '990.a', 'p': 61, 'prec': 20, 'unit': 4036386366240947470764876220247006, 'val': 1}
  • id: 22214
    {'lmfdb_iso': '990.a', 'p': 67, 'prec': 20, 'unit': 7306052492255241322609783570039648, 'val': 1}
  • id: 22216
    {'lmfdb_iso': '990.a', 'p': 71, 'prec': 20, 'unit': 71257295927454109929003003536126207, 'val': 1}
  • id: 22225
    {'lmfdb_iso': '990.a', 'p': 73, 'prec': 20, 'unit': 229953110167940458322018049956266377, 'val': 1}
  • id: 22220
    {'lmfdb_iso': '990.a', 'p': 79, 'prec': 20, 'unit': 953956979280148832155422261185234741, 'val': 1}
  • id: 22222
    {'lmfdb_iso': '990.a', 'p': 83, 'prec': 20, 'unit': 1053176956467475328335673937602419133, 'val': 1}
  • id: 22213
    {'lmfdb_iso': '990.a', 'p': 97, 'prec': 20, 'unit': 14237359042512989492870572520716694554, 'val': 1}