Elliptic curve data - 10944.s1

Formats: - HTML - YAML - JSON - 2024-05-05T05:06:41.353438

• 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': '10944bc', 'Clabel': '10944bc1', 'Cnumber': 1, 'abc_quality': 0.796650567962325, 'absD': 226934784, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, 0, 0, -48, -736], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 10944, 'degree': 3072, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28440065936472071636396207683', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [-1024, 19], 'lmfdb_iso': '10944.s', 'lmfdb_label': '10944.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1, 3], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3448084193709853549638856510', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0735771956226036569870980167', 'prec': 103}, 'szpiro_ratio': 2.873552148055403, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 0, -3, 0, 0, 0, -3, 0, 4, 0, 0, 0, -5, 0, 1, 0], 'aplist': [0, 0, -1, -3, -3, 4, -5, 1, 0, 2, 8, 10, -6, 7, 9, -8, 14, 5, 0, 6, -15, -4, 4, 0, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 10944, 'isogeny_matrix': [[1]], 'lmfdb_iso': '10944.s', 'trace_hash': 2211935608108395304}
• 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': '0.56620372989719181273919537918', 'prec': 103}, 'conductor': 10944, 'gens': [[25, 117, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3448084193709853549638856510', 'prec': 100}], 'lmfdb_label': '10944.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.76085823292337052948229517521', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5681335810128989220096896842927989405', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [25]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10944.s1'}
• ec_torsion_growth •

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

  
  
  • id: 567757
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '10944.s1', 'torsion': [2]}
  • id: 567758
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '10944.s1', 'torsion': [2, 2]}
  • id: 567759
    {'degree': 8, 'field': [-12, 0, 72, 0, -48, 0, 10, 0, 1], 'lmfdb_label': '10944.s1', 'torsion': [3]}
  • id: 567760
    {'degree': 12, 'field': [-13851, 0, -6804, 0, -1053, 0, -540, 0, -117, 0, 0, 0, 1], 'lmfdb_label': '10944.s1', 'torsion': [4]}
• 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: 234114
    {'conductor': 10944, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '10944.s1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 234115
    {'conductor': 10944, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '10944.s1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 234116
    {'conductor': 10944, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10944.s1', 'prime': 19, '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

  
  {'adelic_gens': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 10944, 'lmfdb_label': '10944.s1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 470038
    {'lmfdb_iso': '10944.s', 'p': 5, 'prec': 20, 'unit': 9395050365447, 'val': 1}
  • id: 470039
    {'lmfdb_iso': '10944.s', 'p': 7, 'prec': 20, 'unit': 8176137502605265, 'val': 1}
  • id: 470037
    {'lmfdb_iso': '10944.s', 'p': 11, 'prec': 20, 'unit': 22766218292772202128, 'val': 1}
  • id: 470044
    {'lmfdb_iso': '10944.s', 'p': 13, 'prec': 20, 'unit': 418418121665615770550, 'val': 1}
  • id: 470046
    {'lmfdb_iso': '10944.s', 'p': 17, 'prec': 20, 'unit': 6946200102279836584919, 'val': 1}
  • id: 470043
    {'lmfdb_iso': '10944.s', 'p': 29, 'prec': 20, 'unit': 961888339811996473959195083, 'val': 1}
  • id: 470040
    {'lmfdb_iso': '10944.s', 'p': 31, 'prec': 20, 'unit': 14813529601972658404014263867, 'val': 1}
  • id: 470054
    {'lmfdb_iso': '10944.s', 'p': 37, 'prec': 20, 'unit': 120340565872503989907852343184, 'val': 1}
  • id: 470041
    {'lmfdb_iso': '10944.s', 'p': 41, 'prec': 20, 'unit': 127898737310718776576271711302, 'val': 1}
  • id: 470042
    {'lmfdb_iso': '10944.s', 'p': 43, 'prec': 20, 'unit': 3356375409526777532024419035932, 'val': 1}
  • id: 470052
    {'lmfdb_iso': '10944.s', 'p': 47, 'prec': 20, 'unit': 54772380434526734926794479139817, 'val': 1}
  • id: 470048
    {'lmfdb_iso': '10944.s', 'p': 53, 'prec': 20, 'unit': 327222667418486592922090556038533, 'val': 1}
  • id: 470049
    {'lmfdb_iso': '10944.s', 'p': 59, 'prec': 20, 'unit': 3974957626067112405674620170064594, 'val': 1}
  • id: 470053
    {'lmfdb_iso': '10944.s', 'p': 61, 'prec': 20, 'unit': 6444655646098192398458355728917952, 'val': 1}
  • id: 470051
    {'lmfdb_iso': '10944.s', 'p': 71, 'prec': 20, 'unit': 1221086958634376398217138856746594, 'val': 2}
  • id: 470050
    {'lmfdb_iso': '10944.s', 'p': 73, 'prec': 20, 'unit': 3272368509236393531832519910863331, 'val': 2}
  • id: 470045
    {'lmfdb_iso': '10944.s', 'p': 79, 'prec': 20, 'unit': 524342436089560181038997730319218667, 'val': 1}
  • id: 470047
    {'lmfdb_iso': '10944.s', 'p': 83, 'prec': 20, 'unit': 1489621040427520314662625091875429838, 'val': 1}
  • id: 470036
    {'lmfdb_iso': '10944.s', 'p': 97, 'prec': 20, 'unit': 42112850868947388603464302929131050218, 'val': 1}