Elliptic curve data - 9600.l2

Formats: - HTML - YAML - JSON - 2026-04-18T19:13:54.981887

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9600b', 'Clabel': '9600b2', 'Cnumber': 2, 'abc_quality': 0.9635631001560863, 'absD': 933120000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, -1, 0, -1133, -48363], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9600, 'degree': 9216, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98066675709903290180723220365', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [-628864, 3645], 'lmfdb_iso': '9600.l', 'lmfdb_label': '9600.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11, -45], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '24.6.0.d.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3496846714574747421780012751', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 3200], [5, 18, 384]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63272390977128681314658493800', 'prec': 107}, 'szpiro_ratio': 3.8291745696981687, '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, 0, 0, 0, 0, 1, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, -1, 0, 0, -2, -4, 0, 0, 0, 2, 10, -4, 6, 4, 0, -2, -6, 6, 4, 8, -14, 2, 4, 14, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 9600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9600.l', 'trace_hash': 2144839082039542345}
• 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': '0.14067070940263378239528779708', 'prec': 103}, 'conductor': 9600, 'gens': [[52, 175, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3496846714574747421780012751', 'prec': 100}], 'lmfdb_label': '9600.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36868277837290389656667123989', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4651530918926626660019613456242303495', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[47, 0, 1]], 'xcoord_integral_points': [47, 52, 1127]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 3, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '9600.l2'}
• ec_torsion_growth •

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

  
  
  • id: 498962
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '9600.l2', 'torsion': [2, 2]}
  • id: 498963
    {'degree': 4, 'field': [-20, 0, -4, 0, 1], 'lmfdb_label': '9600.l2', 'torsion': [4]}
  • id: 498966
    {'degree': 8, 'field': [-75, 0, 280, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '9600.l2', 'torsion': [6]}
  • id: 498965
    {'degree': 8, 'field': [414, -1008, 756, -240, 106, -16, 0, -4, 1], 'lmfdb_label': '9600.l2', 'torsion': [2, 4]}
  • id: 498964
    {'degree': 8, 'field': [441, 0, -76, 0, -34, 0, 4, 0, 1], 'lmfdb_label': '9600.l2', 'torsion': [2, 4]}
  • id: 498967
    {'degree': 16, 'field': [-71471, -160896, -78912, 141024, 231076, 119616, -9984, -43392, -24522, -7488, -1344, -96, 4, 0, 0, 0, 1], 'lmfdb_label': '9600.l2', 'torsion': [8]}
  • id: 498968
    {'degree': 16, 'field': [11664, 0, -20352, 0, 18880, 0, 11136, 0, 1320, 0, 224, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '9600.l2', '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: 202224
    {'conductor': 9600, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9600.l2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 202225
    {'conductor': 9600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '9600.l2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 202226
    {'conductor': 9600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '9600.l2', 'prime': 5, 'reduction_type': 0, '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: 1727502
    {'adelic_gens': [[41, 4, 82, 9], [1, 2, 2, 5], [76, 49, 17, 114], [117, 4, 116, 5], [3, 4, 8, 11], [61, 4, 2, 9], [74, 1, 23, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 9600, 'lmfdb_label': '9600.l2', 'prime': 0}
  • id: 46530
    {'conductor': 9600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9600.l2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 402447
    {'lmfdb_iso': '9600.l', 'p': 11, 'prec': 20, 'unit': 50407974051197729764, 'val': 1}
  • id: 402453
    {'lmfdb_iso': '9600.l', 'p': 13, 'prec': 20, 'unit': 126574724229077558942, 'val': 1}
  • id: 402452
    {'lmfdb_iso': '9600.l', 'p': 29, 'prec': 20, 'unit': 1445081305776305402947397632, 'val': 1}
  • id: 402461
    {'lmfdb_iso': '9600.l', 'p': 31, 'prec': 20, 'unit': 11549807819594663150584472508, 'val': 1}
  • id: 402448
    {'lmfdb_iso': '9600.l', 'p': 37, 'prec': 20, 'unit': 620683216619100202167895728434, 'val': 1}
  • id: 402450
    {'lmfdb_iso': '9600.l', 'p': 41, 'prec': 20, 'unit': 3334076193470599477994638943566, 'val': 1}
  • id: 402451
    {'lmfdb_iso': '9600.l', 'p': 43, 'prec': 20, 'unit': 5600345884030662302828440959464, 'val': 1}
  • id: 402456
    {'lmfdb_iso': '9600.l', 'p': 53, 'prec': 20, 'unit': 453705923909384308408650061249372, 'val': 1}
  • id: 402459
    {'lmfdb_iso': '9600.l', 'p': 59, 'prec': 20, 'unit': 859425324007690639867250966206710, 'val': 1}
  • id: 402460
    {'lmfdb_iso': '9600.l', 'p': 61, 'prec': 20, 'unit': 3762231568801459760138718437912408, 'val': 1}
  • id: 402446
    {'lmfdb_iso': '9600.l', 'p': 67, 'prec': 20, 'unit': 25160361981005386599199478436550439, 'val': 1}
  • id: 402449
    {'lmfdb_iso': '9600.l', 'p': 71, 'prec': 20, 'unit': 35716355548893863826754141473156169, 'val': 1}
  • id: 402457
    {'lmfdb_iso': '9600.l', 'p': 73, 'prec': 20, 'unit': 18233543989365949368003138933021131, 'val': 1}
  • id: 402454
    {'lmfdb_iso': '9600.l', 'p': 79, 'prec': 20, 'unit': 2223893739511600035212335066320360, 'val': 1}
  • id: 402455
    {'lmfdb_iso': '9600.l', 'p': 83, 'prec': 20, 'unit': 14971082775146673784667072558720781, 'val': 1}
  • id: 402458
    {'lmfdb_iso': '9600.l', 'p': 89, 'prec': 20, 'unit': 8757061894328166785655884967982022579, 'val': 1}
  • id: 402445
    {'lmfdb_iso': '9600.l', 'p': 97, 'prec': 20, 'unit': 39766829886002405608774084558053371725, 'val': 1}