Elliptic curve data - 9408.g3

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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
  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': '9408ce', 'Clabel': '9408ce1', 'Cnumber': 1, 'abc_quality': 0.9673193989883411, 'absD': 4269246912, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, -1, 0, -604, 4978], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9408, 'degree': 6144, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56774825626097227778941137476', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [3241792, 567], 'lmfdb_iso': '9408.g', 'lmfdb_label': '9408.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -49, -95], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '24.24.0-24.bb.1.1', '28.12.0.h.1', '56.24.0-28.h.1.1', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0062519055101346244605719862', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75178040854665702947188105769', 'prec': 107}, 'szpiro_ratio': 3.3692116340016467, '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, -2, 0, 0, 0, 1, 0, -4, 0, -6, 0, 2, 0, 2, 0, -4, 0], 'aplist': [0, -1, -2, 0, -4, -6, 2, -4, 4, 2, 8, 10, 2, 8, 0, 10, 12, 10, -8, -12, -2, 0, -12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 9408, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '9408.g', 'trace_hash': 335772944373011141}
• 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': '0.32126257083900603252105584921', 'prec': 103}, 'conductor': 9408, 'gens': [[-9, 98, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0062519055101346244605719862', 'prec': 100}], 'lmfdb_label': '9408.g3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3187798420245438905932851713', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6540494579711032122459358627058480421', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[19, 0, 1]], 'xcoord_integral_points': [-9, 19, 163]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '9408.g3'}
• ec_torsion_growth •

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

  
  
  • id: 490142
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [4]}
  • id: 490140
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [2, 2]}
  • id: 490141
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [4]}
  • id: 490143
    {'degree': 4, 'field': [9, 0, -8, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [2, 4]}
  • id: 490147
    {'degree': 8, 'field': [-2352, 0, 1792, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [6]}
  • id: 490144
    {'degree': 8, 'field': [1, 0, 4, 0, -1, 0, 4, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [2, 4]}
  • id: 490146
    {'degree': 8, 'field': [100, 0, 184, 0, 96, 0, 4, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [8]}
  • id: 490145
    {'degree': 8, 'field': [289, 0, -732, 0, 290, 0, -36, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [8]}
  • id: 490150
    {'degree': 16, 'field': [-311, -1492, 8872, 140, -27376, 8024, 29748, -11644, -14047, 6568, 2928, -1700, -202, 196, -8, -8, 1], 'lmfdb_label': '9408.g3', 'torsion': [2, 8]}
  • id: 490148
    {'degree': 16, 'field': [16, 0, 0, 0, -24, 0, 0, 0, 73, 0, 0, 0, 15, 0, 0, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [4, 4]}
  • id: 490149
    {'degree': 16, 'field': [49, 196, 812, -280, -152, 1212, 440, -244, 967, 148, 200, 132, 40, -8, 20, -4, 1], 'lmfdb_label': '9408.g3', 'torsion': [2, 8]}
  • id: 490152
    {'degree': 16, 'field': [1764, 0, -28224, 0, 14112, 0, 12376, 0, 1484, 0, -56, 0, 4, 0, -4, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [12]}
  • id: 490153
    {'degree': 16, 'field': [86436, 0, -197568, 0, 127008, 0, -16856, 0, 2156, 0, -392, 0, 196, 0, -28, 0, 1], 'lmfdb_label': '9408.g3', 'torsion': [12]}
  • id: 490151
    {'degree': 16, 'field': [191781, -183384, -468630, 193248, 473238, 76260, -81738, -18456, -6085, -5144, 1502, 880, -64, 4, -8, -4, 1], 'lmfdb_label': '9408.g3', '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: 198049
    {'conductor': 9408, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9408.g3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 198050
    {'conductor': 9408, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9408.g3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 198051
    {'conductor': 9408, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '9408.g3', 'prime': 7, '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: 1726248
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [88, 165, 139, 166], [104, 13, 101, 72], [7, 6, 162, 163], [161, 8, 160, 9], [113, 8, 116, 33], [13, 18, 142, 61], [1, 4, 4, 17]], 'adelic_image': '168.48.0.?', 'conductor': 9408, 'lmfdb_label': '9408.g3', 'prime': 0}
  • id: 45703
    {'conductor': 9408, 'elladic_image': '8.12.0.8', 'lmfdb_label': '9408.g3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 394598
    {'lmfdb_iso': '9408.g', 'p': 5, 'prec': 20, 'unit': 693446689356, 'val': 1}
  • id: 394605
    {'lmfdb_iso': '9408.g', 'p': 11, 'prec': 20, 'unit': 25506755488984161565, 'val': 1}
  • id: 394603
    {'lmfdb_iso': '9408.g', 'p': 13, 'prec': 20, 'unit': 98165096855398497434, 'val': 1}
  • id: 394606
    {'lmfdb_iso': '9408.g', 'p': 17, 'prec': 20, 'unit': 13222911668245140850798, 'val': 1}
  • id: 394607
    {'lmfdb_iso': '9408.g', 'p': 19, 'prec': 20, 'unit': 1271691134800001403912735, 'val': 1}
  • id: 394610
    {'lmfdb_iso': '9408.g', 'p': 23, 'prec': 20, 'unit': 55355526871300800767740603, 'val': 1}
  • id: 394604
    {'lmfdb_iso': '9408.g', 'p': 29, 'prec': 20, 'unit': 3367778597649243902134935407, 'val': 1}
  • id: 394600
    {'lmfdb_iso': '9408.g', 'p': 31, 'prec': 20, 'unit': 19888635020104896610344971445, 'val': 1}
  • id: 394614
    {'lmfdb_iso': '9408.g', 'p': 37, 'prec': 20, 'unit': 596212939380349641348364956773, 'val': 1}
  • id: 394601
    {'lmfdb_iso': '9408.g', 'p': 41, 'prec': 20, 'unit': 840206585404539091360790142241, 'val': 1}
  • id: 394602
    {'lmfdb_iso': '9408.g', 'p': 43, 'prec': 20, 'unit': 3806893217712594154226946525479, 'val': 1}
  • id: 394608
    {'lmfdb_iso': '9408.g', 'p': 53, 'prec': 20, 'unit': 347849651441998884116194203458857, 'val': 1}
  • id: 394612
    {'lmfdb_iso': '9408.g', 'p': 59, 'prec': 20, 'unit': 1844380463238598739615005328291281, 'val': 1}
  • id: 394613
    {'lmfdb_iso': '9408.g', 'p': 61, 'prec': 20, 'unit': 7978627494845173782547082501308082, 'val': 1}
  • id: 394597
    {'lmfdb_iso': '9408.g', 'p': 67, 'prec': 20, 'unit': 17610706136832730348692523626162981, 'val': 1}
  • id: 394599
    {'lmfdb_iso': '9408.g', 'p': 71, 'prec': 20, 'unit': 54136541161146100545361850248741733, 'val': 1}
  • id: 394609
    {'lmfdb_iso': '9408.g', 'p': 73, 'prec': 20, 'unit': 164671171802808638309427047885666199, 'val': 1}
  • id: 394596
    {'lmfdb_iso': '9408.g', 'p': 83, 'prec': 20, 'unit': 624266522529554928377593974507564989, 'val': 1}
  • id: 394611
    {'lmfdb_iso': '9408.g', 'p': 89, 'prec': 20, 'unit': 2426897619938460016294283366651999432, 'val': 1}
  • id: 394595
    {'lmfdb_iso': '9408.g', 'p': 97, 'prec': 20, 'unit': 10532549016179699808763506682478374297, 'val': 1}