Elliptic curve data - 9600.bm2

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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
  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': '9600bb', 'Clabel': '9600bb1', 'Cnumber': 1, 'abc_quality': 1.045848553729871, 'absD': 7776000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 1, 0, -1623, 24633], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9600, 'degree': 3840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45385666963598595538885851688', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2], 'jinv': [14784166784, 243], 'lmfdb_iso': '9600.bm', 'lmfdb_label': '9600.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6493, 203557], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.i.1', '40.6.0.c.1', '60.6.0.a.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.48145423998189002135483555788', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 3200], [5, 10, 128]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41060092884583601120615273073', 'prec': 107}, 'szpiro_ratio': 3.6850696431369534, '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, -4, 0, 2, 0, 0, 0, -2, 0, 2, 0], 'aplist': [0, 1, 0, 0, -4, 2, -2, 2, -6, -8, 8, 6, 2, 4, 6, -10, 8, 2, -4, 0, -4, 4, -16, -18, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 9600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9600.bm', 'trace_hash': 182351767623502319}
• 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': '0.40344571353421481826219739531', 'prec': 103}, 'conductor': 9600, 'gens': [[24, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.48145423998189002135483555788', 'prec': 103}], 'lmfdb_label': '9600.bm2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.1455915028229382732792286509', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1650206315160949231559682145647422228', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[23, 0, 1]], 'xcoord_integral_points': [23, 24, 33, 63, 192]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9600.bm2'}
• ec_torsion_growth •

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

  
  
  • id: 499333
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '9600.bm2', 'torsion': [2, 2]}
  • id: 499334
    {'degree': 4, 'field': [60, 0, -20, 0, 1], 'lmfdb_label': '9600.bm2', 'torsion': [4]}
  • id: 499337
    {'degree': 8, 'field': [-75, 0, 200, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '9600.bm2', 'torsion': [6]}
  • id: 499335
    {'degree': 8, 'field': [1, 0, -36, 0, 86, 0, -36, 0, 1], 'lmfdb_label': '9600.bm2', 'torsion': [2, 4]}
  • id: 499336
    {'degree': 8, 'field': [16, 0, 8, 0, -6, 0, 2, 0, 1], 'lmfdb_label': '9600.bm2', 'torsion': [2, 4]}
  • id: 499338
    {'degree': 16, 'field': [-25, 1400, 2400, -4400, -4520, 9560, 14400, 12800, 6806, 1880, 568, -80, -176, -40, -8, 0, 1], 'lmfdb_label': '9600.bm2', 'torsion': [8]}
  • id: 499339
    {'degree': 16, 'field': [9519876, -11320560, 6620112, -1473264, -242424, 28704, -38568, 84576, -47720, 11512, 448, -344, 28, -56, 28, -8, 1], 'lmfdb_label': '9600.bm2', '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: 202377
    {'conductor': 9600, 'conductor_valuation': 7, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9600.bm2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 202378
    {'conductor': 9600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '9600.bm2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 202379
    {'conductor': 9600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9600.bm2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1727448
    {'adelic_gens': [[76, 49, 105, 16], [61, 4, 2, 9], [1, 4, 0, 1], [82, 1, 79, 0], [28, 1, 23, 0], [1, 0, 4, 1], [117, 4, 116, 5], [3, 4, 8, 11], [1, 2, 2, 5]], 'adelic_image': '120.12.0.?', 'conductor': 9600, 'lmfdb_label': '9600.bm2', 'prime': 0}
  • id: 46476
    {'conductor': 9600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9600.bm2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 402686
    {'lmfdb_iso': '9600.bm', 'p': 11, 'prec': 20, 'unit': 44381926850080563577, 'val': 1}
  • id: 402691
    {'lmfdb_iso': '9600.bm', 'p': 13, 'prec': 20, 'unit': 856741013751050121624, 'val': 1}
  • id: 402693
    {'lmfdb_iso': '9600.bm', 'p': 17, 'prec': 20, 'unit': 179093227882071922908010, 'val': 1}
  • id: 402694
    {'lmfdb_iso': '9600.bm', 'p': 19, 'prec': 20, 'unit': 1582994743027392017086059, 'val': 1}
  • id: 402698
    {'lmfdb_iso': '9600.bm', 'p': 23, 'prec': 20, 'unit': 72884920140313182657587530, 'val': 1}
  • id: 402690
    {'lmfdb_iso': '9600.bm', 'p': 29, 'prec': 20, 'unit': 2781462911685853317645048214, 'val': 1}
  • id: 402703
    {'lmfdb_iso': '9600.bm', 'p': 31, 'prec': 20, 'unit': 20723990841324629122619471790, 'val': 1}
  • id: 402687
    {'lmfdb_iso': '9600.bm', 'p': 37, 'prec': 20, 'unit': 136119559730262421180887717388, 'val': 1}
  • id: 402688
    {'lmfdb_iso': '9600.bm', 'p': 41, 'prec': 20, 'unit': 3585613727639480267425347072401, 'val': 1}
  • id: 402689
    {'lmfdb_iso': '9600.bm', 'p': 43, 'prec': 20, 'unit': 2059539320041630988543260606304, 'val': 1}
  • id: 402700
    {'lmfdb_iso': '9600.bm', 'p': 47, 'prec': 20, 'unit': 15604053121582463179147207623408, 'val': 1}
  • id: 402695
    {'lmfdb_iso': '9600.bm', 'p': 53, 'prec': 20, 'unit': 494250820966672778746011268446823, 'val': 1}
  • id: 402696
    {'lmfdb_iso': '9600.bm', 'p': 59, 'prec': 20, 'unit': 469026659650255890312897119572244, 'val': 1}
  • id: 402701
    {'lmfdb_iso': '9600.bm', 'p': 61, 'prec': 20, 'unit': 1310007060798685828769583975613392, 'val': 1}
  • id: 402685
    {'lmfdb_iso': '9600.bm', 'p': 67, 'prec': 20, 'unit': 46861625290581272007674427339544517, 'val': 1}
  • id: 402697
    {'lmfdb_iso': '9600.bm', 'p': 73, 'prec': 20, 'unit': 42870768741575286275412271818795798, 'val': 1}
  • id: 402692
    {'lmfdb_iso': '9600.bm', 'p': 79, 'prec': 20, 'unit': 732902385044018314948290528811009241, 'val': 1}
  • id: 402702
    {'lmfdb_iso': '9600.bm', 'p': 83, 'prec': 20, 'unit': 1985134920880180653926040895436638616, 'val': 1}
  • id: 402699
    {'lmfdb_iso': '9600.bm', 'p': 89, 'prec': 20, 'unit': 6743346217489550201042595499298670872, 'val': 1}
  • id: 402684
    {'lmfdb_iso': '9600.bm', 'p': 97, 'prec': 20, 'unit': 3387908940458595103221175900136695411, 'val': 1}