Elliptic curve data - 10944.l3

Formats: - HTML - YAML - JSON - 2024-05-02T09:44:25.305132

• 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': '10944bi', 'Clabel': '10944bi4', 'Cnumber': 4, 'abc_quality': 1.034713906926563, 'absD': 28017822302208, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, -876, 254864], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10944, 'degree': 24576, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2594700958716279655102992663', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3112136, 1172889], 'lmfdb_iso': '10944.l', 'lmfdb_label': '10944.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, 1188], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '12.12.0-4.c.1.2', '24.24.0-8.d.1.2', '152.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.76566969503136308684626797171', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15627002416235851695886350398', 'prec': 107}, 'szpiro_ratio': 4.130952482944126, '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, -2, 0, -4, 0, 0, 0, 4, 0, -2, 0, 0, 0, -2, 0, 1, 0], 'aplist': [0, 0, -2, -4, 4, -2, -2, 1, 4, -6, 0, -2, 6, 12, 4, 2, -12, 10, 4, 0, 10, -8, -12, 14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 10944, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '10944.l', 'trace_hash': 1947549799288619070}
• 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': '0.080544923706922288851382801080', 'prec': 107}, 'conductor': 10944, 'gens': [[-11, 513, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.76566969503136308684626797171', 'prec': 103}], 'lmfdb_label': '10944.l3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54015734457932480811115789319', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3086568743440202467287571868577527220', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-68, 0, 1]], 'xcoord_integral_points': [-68, -11, 76, 160]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [3, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10944.l3'}
• ec_torsion_growth •

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

  
  
  • id: 567966
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [4]}
  • id: 567967
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '10944.l3', 'torsion': [4]}
  • id: 567965
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [2, 2]}
  • id: 567968
    {'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [2, 4]}
  • id: 567972
    {'degree': 8, 'field': [-243, 0, 240, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [6]}
  • id: 567971
    {'degree': 8, 'field': [4, 0, -24, 0, 146, 0, 12, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [8]}
  • id: 567969
    {'degree': 8, 'field': [9, 0, 12, 0, 4, 0, -4, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [2, 4]}
  • id: 567970
    {'degree': 8, 'field': [190, -1216, 140, -144, 170, 24, -16, -4, 1], 'lmfdb_label': '10944.l3', 'torsion': [8]}
  • id: 567973
    {'degree': 16, 'field': [1, 0, -4, 0, 8, 0, -24, 0, 47, 0, -24, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [4, 4]}
  • id: 567978
    {'degree': 16, 'field': [59049, 0, 58320, 0, 44478, 0, 12960, 0, 3159, 0, 480, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [12]}
  • id: 567975
    {'degree': 16, 'field': [234256, 0, 375584, 0, 198944, 0, 29568, 0, -5380, 0, -1248, 0, 104, 0, -4, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [2, 8]}
  • id: 567976
    {'degree': 16, 'field': [851929, 0, 212464, 0, 50836, 0, 23728, 0, -1586, 0, 1360, 0, 4, 0, 16, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [2, 6]}
  • id: 567974
    {'degree': 16, 'field': [1336336, 0, 545632, 0, 164984, 0, 14352, 0, -544, 0, -744, 0, -34, 0, 4, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [2, 8]}
  • id: 567977
    {'degree': 16, 'field': [2368521, 0, -3158028, 0, 1052676, 0, 84564, 0, -37422, 0, -2268, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '10944.l3', 'torsion': [12]}
• 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: 234171
    {'conductor': 10944, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '10944.l3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 234172
    {'conductor': 10944, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '10944.l3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 234173
    {'conductor': 10944, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10944.l3', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1736618
    {'adelic_gens': [[449, 8, 448, 9], [56, 429, 285, 284], [1, 0, 8, 1], [56, 429, 15, 290], [1, 8, 0, 1], [97, 312, 84, 337], [1, 4, 4, 17], [7, 6, 450, 451], [151, 0, 0, 455]], 'adelic_image': '456.48.0.?', 'conductor': 10944, 'lmfdb_label': '10944.l3', 'prime': 0}
  • id: 52771
    {'conductor': 10944, 'elladic_image': '8.12.0.16', 'lmfdb_label': '10944.l3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 470194
    {'lmfdb_iso': '10944.l', 'p': 5, 'prec': 20, 'unit': 18331358846991, 'val': 1}
  • id: 470195
    {'lmfdb_iso': '10944.l', 'p': 7, 'prec': 20, 'unit': 3016106573466183, 'val': 1}
  • id: 470193
    {'lmfdb_iso': '10944.l', 'p': 11, 'prec': 20, 'unit': 3000583523819120504, 'val': 2}
  • id: 470199
    {'lmfdb_iso': '10944.l', 'p': 13, 'prec': 20, 'unit': 877325599052992718768, 'val': 1}
  • id: 470201
    {'lmfdb_iso': '10944.l', 'p': 17, 'prec': 20, 'unit': 194332191545248502806000, 'val': 1}
  • id: 470206
    {'lmfdb_iso': '10944.l', 'p': 23, 'prec': 20, 'unit': 2870687920882287477115976, 'val': 2}
  • id: 470198
    {'lmfdb_iso': '10944.l', 'p': 29, 'prec': 20, 'unit': 3695524780963631033503595865, 'val': 1}
  • id: 470210
    {'lmfdb_iso': '10944.l', 'p': 37, 'prec': 20, 'unit': 468065183832430356024515993201, 'val': 1}
  • id: 470196
    {'lmfdb_iso': '10944.l', 'p': 41, 'prec': 20, 'unit': 4274790819767708798434223340291, 'val': 1}
  • id: 470197
    {'lmfdb_iso': '10944.l', 'p': 43, 'prec': 20, 'unit': 3661199400046121191116996498268, 'val': 1}
  • id: 470208
    {'lmfdb_iso': '10944.l', 'p': 47, 'prec': 20, 'unit': 55799690640778252618969354221360, 'val': 1}
  • id: 470203
    {'lmfdb_iso': '10944.l', 'p': 53, 'prec': 20, 'unit': 172544792827533239183353682797973, 'val': 1}
  • id: 470204
    {'lmfdb_iso': '10944.l', 'p': 59, 'prec': 20, 'unit': 737708378766054796306088412989850, 'val': 1}
  • id: 470209
    {'lmfdb_iso': '10944.l', 'p': 61, 'prec': 20, 'unit': 1456977097359428930351589259265878, 'val': 1}
  • id: 470202
    {'lmfdb_iso': '10944.l', 'p': 67, 'prec': 20, 'unit': 731520046416520537695919541652548, 'val': 1}
  • id: 470205
    {'lmfdb_iso': '10944.l', 'p': 73, 'prec': 20, 'unit': 3167457604521827057519832449316306, 'val': 2}
  • id: 470200
    {'lmfdb_iso': '10944.l', 'p': 79, 'prec': 20, 'unit': 1028648019142106618641358216721891159, 'val': 1}
  • id: 470192
    {'lmfdb_iso': '10944.l', 'p': 83, 'prec': 20, 'unit': 384965412968680801441370670190733101, 'val': 1}
  • id: 470207
    {'lmfdb_iso': '10944.l', 'p': 89, 'prec': 20, 'unit': 8047574473180277841782636055282434369, 'val': 1}
  • id: 470191
    {'lmfdb_iso': '10944.l', 'p': 97, 'prec': 20, 'unit': 16818341947622941087335586749743418936, 'val': 1}