Elliptic curve data - 2304.h2

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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
  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[]

  
  {'Ciso': '2304k', 'Clabel': '2304k1', 'Cnumber': 1, 'abc_quality': 0.9029767420170889, 'absD': 373248, 'ainvs': [0, 0, 0, -30, 56], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': -8, 'conductor': 2304, 'degree': 192, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20124009630581192876727104788', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [8000, 1], 'lmfdb_iso': '2304.h', 'lmfdb_label': '2304.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3, 1], 'min_quad_twist_disc': 12, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0564386879975241787084950898', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 2, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2704066260598257565278177574', 'prec': 103}, 'szpiro_ratio': 2.8178845681528526, '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, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, 0, 0, -6, 0, 6, 2, 0, 0, 0, 0, -6, -10, 0, 0, -6, 0, -14, 0, -2, 0, -18, 18, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 2304, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2304.h', 'trace_hash': 1063291542949292010}
• 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': '1.4955293024018481001102570708', 'prec': 100}, 'conductor': 2304, 'gens': [[2, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0564386879975241787084950898', 'prec': 100}], 'lmfdb_label': '2304.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.9086064170891649431108606804', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0727643471708570018195951298796128367', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[4, 0, 1]], 'xcoord_integral_points': [-5, 2, 4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 3, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2304.h2'}
• ec_torsion_growth •

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

  
  
  • id: 116836
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 2]}
  • id: 116839
    {'degree': 4, 'field': [-2, 0, -4, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [6]}
  • id: 116838
    {'degree': 4, 'field': [6, 0, 4, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [6]}
  • id: 116837
    {'degree': 4, 'field': [18, 0, -12, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 4]}
  • id: 116843
    {'degree': 8, 'field': [1, 0, 0, 0, -4, 0, 0, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 6]}
  • id: 116842
    {'degree': 8, 'field': [9, 0, -24, 0, 16, 0, 0, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 6]}
  • id: 116841
    {'degree': 8, 'field': [36, 0, -24, 0, 10, 0, -4, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [3, 6]}
  • id: 116840
    {'degree': 8, 'field': [79, 80, 88, 24, 10, -8, 0, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 4]}
  • id: 116844
    {'degree': 12, 'field': [216, 0, -576, 0, 600, 0, -296, 0, 78, 0, -12, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [18]}
  • id: 116847
    {'degree': 16, 'field': [1, 0, 0, 0, -4, 0, 0, 0, 15, 0, 0, 0, -4, 0, 0, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [6, 6]}
  • id: 116846
    {'degree': 16, 'field': [4, 0, -368, 0, 1032, 0, -1120, 0, 608, 0, -184, 0, 36, 0, -8, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 8]}
  • id: 116849
    {'degree': 16, 'field': [4, 0, -48, 0, 152, 0, -224, 0, 192, 0, -104, 0, 36, 0, -8, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 12]}
  • id: 116848
    {'degree': 16, 'field': [18, 0, -120, 144, 232, -680, 512, 40, -126, -224, 316, -104, -12, -8, 20, -8, 1], 'lmfdb_label': '2304.h2', 'torsion': [2, 12]}
  • id: 116845
    {'degree': 16, 'field': [196, -1344, 4608, -8416, 10144, -9568, 7808, -5392, 3044, -1696, 1024, -496, 192, -80, 32, -8, 1], 'lmfdb_label': '2304.h2', 'torsion': [4, 4]}
  • id: 116850
    {'degree': 20, 'field': [20785248, 0, 13856832, 0, 3464208, 0, 769824, 0, 256608, 0, 38880, 0, 7452, 0, 1080, 0, 162, 0, 12, 0, 1], 'lmfdb_label': '2304.h2', 'torsion': [22]}
• 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: 38657
    {'conductor': 2304, 'conductor_valuation': 8, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2304.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 38658
    {'conductor': 2304, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2304.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• lmfdb_label 2304.h2 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 69397
    {'lmfdb_iso': '2304.h', 'p': 11, 'prec': 20, 'unit': 2688221618939604554, 'val': 1}
  • id: 69398
    {'lmfdb_iso': '2304.h', 'p': 17, 'prec': 20, 'unit': 230962659048162767860742, 'val': 1}
  • id: 69399
    {'lmfdb_iso': '2304.h', 'p': 19, 'prec': 20, 'unit': 61779407617639653497226, 'val': 1}
  • id: 69396
    {'lmfdb_iso': '2304.h', 'p': 41, 'prec': 20, 'unit': 2852096163652144240639872672645, 'val': 1}
  • id: 69400
    {'lmfdb_iso': '2304.h', 'p': 43, 'prec': 20, 'unit': 4360485994169234633567023607586, 'val': 1}
  • id: 69403
    {'lmfdb_iso': '2304.h', 'p': 59, 'prec': 20, 'unit': 2040067983614588645557830563034612, 'val': 1}
  • id: 69395
    {'lmfdb_iso': '2304.h', 'p': 67, 'prec': 20, 'unit': 13535538315478406812171583102609884, 'val': 1}
  • id: 69401
    {'lmfdb_iso': '2304.h', 'p': 73, 'prec': 20, 'unit': 1124051306084217762669813454445096, 'val': 1}
  • id: 69394
    {'lmfdb_iso': '2304.h', 'p': 83, 'prec': 20, 'unit': 1623740704039917791728171328823704808, 'val': 1}
  • id: 69402
    {'lmfdb_iso': '2304.h', 'p': 89, 'prec': 20, 'unit': 892553688592857718271289700041647686, 'val': 1}
  • id: 69393
    {'lmfdb_iso': '2304.h', 'p': 97, 'prec': 20, 'unit': 13678318527323224792473857340905988757, 'val': 1}