Elliptic curve isogeny class data - 81144.bt

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• 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, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 2, 0, 4, 2, -2, 0, -1, 2, 0, -10, -6, 8, -8, 6, -4, -14, 8, 8, 6, 12, -12, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 81144, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '81144.bt', 'trace_hash': 2285818668783865639}
• ec_padic •

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

  
  
  • id: 4181263
    {'lmfdb_iso': '81144.bt', 'p': 5, 'prec': 20, 'unit': 7108859311259, 'val': 1}
  • id: 4181247
    {'lmfdb_iso': '81144.bt', 'p': 11, 'prec': 20, 'unit': 50508423474464196621, 'val': 1}
  • id: 4181253
    {'lmfdb_iso': '81144.bt', 'p': 13, 'prec': 20, 'unit': 835077218835380846204, 'val': 1}
  • id: 4181255
    {'lmfdb_iso': '81144.bt', 'p': 17, 'prec': 20, 'unit': 13086360094264999438466, 'val': 2}
  • id: 4181252
    {'lmfdb_iso': '81144.bt', 'p': 29, 'prec': 20, 'unit': 2056675145792035105176533877, 'val': 1}
  • id: 4181248
    {'lmfdb_iso': '81144.bt', 'p': 37, 'prec': 20, 'unit': 285169846017513486768552387667, 'val': 1}
  • id: 4181250
    {'lmfdb_iso': '81144.bt', 'p': 41, 'prec': 20, 'unit': 2252837874753930355618434700301, 'val': 1}
  • id: 4181251
    {'lmfdb_iso': '81144.bt', 'p': 43, 'prec': 20, 'unit': 8272057824108773010957604601922, 'val': 1}
  • id: 4181261
    {'lmfdb_iso': '81144.bt', 'p': 47, 'prec': 20, 'unit': 24898496205338052318606735417638, 'val': 1}
  • id: 4181257
    {'lmfdb_iso': '81144.bt', 'p': 53, 'prec': 20, 'unit': 260433755138405442703865151226712, 'val': 1}
  • id: 4181258
    {'lmfdb_iso': '81144.bt', 'p': 59, 'prec': 20, 'unit': 3315982131583824444586187467494091, 'val': 1}
  • id: 4181262
    {'lmfdb_iso': '81144.bt', 'p': 61, 'prec': 20, 'unit': 7721000773389665835090328865992050, 'val': 1}
  • id: 4181256
    {'lmfdb_iso': '81144.bt', 'p': 67, 'prec': 20, 'unit': 36442427678520932475523405766489032, 'val': 1}
  • id: 4181249
    {'lmfdb_iso': '81144.bt', 'p': 71, 'prec': 20, 'unit': 39293329897604866381912606632106958, 'val': 1}
  • id: 4181259
    {'lmfdb_iso': '81144.bt', 'p': 73, 'prec': 20, 'unit': 180605081706692995637080539685390712, 'val': 1}
  • id: 4181254
    {'lmfdb_iso': '81144.bt', 'p': 79, 'prec': 20, 'unit': 390989271887717787704252084335197572, 'val': 1}
  • id: 4181246
    {'lmfdb_iso': '81144.bt', 'p': 83, 'prec': 20, 'unit': 298209761638152887673687440762120013, 'val': 1}
  • id: 4181260
    {'lmfdb_iso': '81144.bt', 'p': 89, 'prec': 20, 'unit': 9770781942882062808734254979445176372, 'val': 1}
  • id: 4181245
    {'lmfdb_iso': '81144.bt', 'p': 97, 'prec': 20, 'unit': 32403072769065970075912430991880857448, 'val': 1}
• 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[]

  
  
  • id: 534761
    {'Ciso': '81144q', 'Clabel': '81144q4', 'Cnumber': 4, 'abc_quality': 0.9626262468353085, 'absD': 663576249141808128, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3864, 'ainvs': [0, 0, 0, -331779, 62245582], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81144, 'degree': 884736, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1413322527105694526669357054', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 4], 'jinv': [45989074372, 7555707], 'lmfdb_iso': '81144.bt', 'lmfdb_label': '81144.bt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -752, 6972], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '28.12.0-4.c.1.1', '84.24.0.?', '184.12.0.?', '552.24.0.?', '1288.24.0.?', '3864.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9169901572834227954488734120', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 2, 9016], [7, 26, 1656], [23, 24, 3528]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.041448383382236863235609947334', 'prec': 107}, 'szpiro_ratio': 4.401128924268457, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 534759
    {'Ciso': '81144q', 'Clabel': '81144q2', 'Cnumber': 2, 'abc_quality': 1.111576621893251, 'absD': 8467182763151616, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1932, 'ainvs': [0, 0, 0, -93639, -10101350], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81144, 'degree': 442368, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7947586624305967979583196447', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2], 'jinv': [4135597648, 385641], 'lmfdb_iso': '81144.bt', 'lmfdb_label': '81144.bt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -212, -1020], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '28.12.0-2.a.1.1', '84.24.0.?', '92.12.0.?', '276.24.0.?', '644.24.0.?', '1932.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.8339803145668455908977468239', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 2, 9016], [7, 26, 1656], [23, 24, 3528]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18960067680441157323680075979', 'prec': 107}, 'szpiro_ratio': 4.065400609887032, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 534758
    {'Ciso': '81144q', 'Clabel': '81144q1', 'Cnumber': 1, 'abc_quality': 1.0662343776302834, 'absD': 852172178256, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3864, 'ainvs': [0, 0, 0, -91434, -10641575], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81144, 'degree': 221184, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4481850721506241432497035840', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 4], 'jinv': [61604313088, 621], 'lmfdb_iso': '81144.bt', 'lmfdb_label': '81144.bt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -207, -1080], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '28.12.0-4.c.1.2', '138.6.0.?', '168.24.0.?', '184.12.0.?', '276.12.0.?', '552.24.0.?', '1288.24.0.?', '1932.24.0.?', '3864.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.667960629133691181795493648', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 10143], [3, 2, 9016], [7, 26, 1656], [23, 24, 3528]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30512520689773579147300611334', 'prec': 107}, 'szpiro_ratio': 4.059076405094085, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 534760
    {'Ciso': '81144q', 'Clabel': '81144q3', 'Cnumber': 3, 'abc_quality': 0.9866077545749458, 'absD': 1073491519015222272, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3864, 'ainvs': [0, 0, 0, 109221, -47873882], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 81144, 'degree': 884736, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1413322527105694526669357054', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 4], 'jinv': [1640689628, 12223143], 'lmfdb_iso': '81144.bt', 'lmfdb_label': '81144.bt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 248, -5252], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '46.6.0.a.1', '56.12.0-4.c.1.5', '84.12.0.?', '92.12.0.?', '168.24.0.?', '552.24.0.?', '1288.24.0.?', '1932.24.0.?', '3864.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.667960629133691181795493648', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 10143], [3, 2, 9016], [7, 26, 1656], [23, 24, 3528]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.041448383382236863235609947334', 'prec': 107}, 'szpiro_ratio': 4.32514071194186, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}