Elliptic curve data - 9600.q2

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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': '9600bn', 'Clabel': '9600bn1', 'Cnumber': 1, 'abc_quality': 1.0288287974277142, 'absD': 288000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, -1, 0, -3, 27], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9600, 'degree': 768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27270832322947104290683927272', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [-128, 9], 'lmfdb_iso': '9600.q', 'lmfdb_label': '9600.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -203], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '24.6.0.j.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.76839488136310807389123068175', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 4, 3200], [5, 10, 384]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1371659217112930095018505203', 'prec': 103}, 'szpiro_ratio': 2.184807494899702, '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, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, -1, 0, 0, 2, 2, 2, -4, 0, 2, -2, -6, -10, 8, -12, 8, -10, 10, -8, 0, 4, -10, 4, 6, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 9600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9600.q', 'trace_hash': 1689378921608959535}
• 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': '1.7253270840638740883763446578', 'prec': 100}, 'conductor': 9600, 'gens': [[2, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.76839488136310807389123068175', 'prec': 103}], 'lmfdb_label': '9600.q2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.5421973240981922573590037395', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9068228225040824914264567206652156244', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-3, 0, 1]], 'xcoord_integral_points': [-3, 2, 3, 117]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 3, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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.q2'}
• ec_torsion_growth •

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

  
  
  • id: 499505
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '9600.q2', 'torsion': [2, 2]}
  • id: 499506
    {'degree': 4, 'field': [-20, 0, 20, 0, 1], 'lmfdb_label': '9600.q2', 'torsion': [4]}
  • id: 499509
    {'degree': 8, 'field': [-300, 0, 2800, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '9600.q2', 'torsion': [6]}
  • id: 499508
    {'degree': 8, 'field': [81, 0, 18, 0, 24, 0, 2, 0, 1], 'lmfdb_label': '9600.q2', 'torsion': [2, 4]}
  • id: 499507
    {'degree': 8, 'field': [12321, 1332, -3228, -180, 316, 20, -12, -4, 1], 'lmfdb_label': '9600.q2', 'torsion': [2, 4]}
  • id: 499510
    {'degree': 16, 'field': [22201, 0, -525648, 0, -466820, 0, -125328, 0, 4794, 0, 5808, 0, 820, 0, 48, 0, 1], 'lmfdb_label': '9600.q2', 'torsion': [8]}
  • id: 499511
    {'degree': 16, 'field': [16402500, 0, 12150000, 0, 3969000, 0, 648000, 0, 42000, 0, -2600, 0, -420, 0, 0, 0, 1], 'lmfdb_label': '9600.q2', '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: 202449
    {'conductor': 9600, 'conductor_valuation': 7, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9600.q2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 202450
    {'conductor': 9600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9600.q2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 202451
    {'conductor': 9600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9600.q2', '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: 1727512
    {'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], [28, 1, 23, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 9600, 'lmfdb_label': '9600.q2', 'prime': 0}
  • id: 46540
    {'conductor': 9600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9600.q2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 402746
    {'lmfdb_iso': '9600.q', 'p': 11, 'prec': 20, 'unit': 416158424266526519, 'val': 3}
  • id: 402751
    {'lmfdb_iso': '9600.q', 'p': 13, 'prec': 20, 'unit': 1322217021539122008962, 'val': 1}
  • id: 402753
    {'lmfdb_iso': '9600.q', 'p': 17, 'prec': 20, 'unit': 8532518917979104300817, 'val': 1}
  • id: 402754
    {'lmfdb_iso': '9600.q', 'p': 19, 'prec': 20, 'unit': 329498240541798554436539, 'val': 1}
  • id: 402750
    {'lmfdb_iso': '9600.q', 'p': 29, 'prec': 20, 'unit': 310459767039124435186405581, 'val': 1}
  • id: 402762
    {'lmfdb_iso': '9600.q', 'p': 31, 'prec': 20, 'unit': 20405611063013294872666734094, 'val': 1}
  • id: 402747
    {'lmfdb_iso': '9600.q', 'p': 37, 'prec': 20, 'unit': 257329707686546274905171728154, 'val': 1}
  • id: 402748
    {'lmfdb_iso': '9600.q', 'p': 41, 'prec': 20, 'unit': 2054847908115554522755782348673, 'val': 1}
  • id: 402749
    {'lmfdb_iso': '9600.q', 'p': 43, 'prec': 20, 'unit': 1412103662835264082887586493450, 'val': 1}
  • id: 402760
    {'lmfdb_iso': '9600.q', 'p': 47, 'prec': 20, 'unit': 29422697073883085808766712597169, 'val': 1}
  • id: 402755
    {'lmfdb_iso': '9600.q', 'p': 53, 'prec': 20, 'unit': 22155946045560212731036213264976, 'val': 1}
  • id: 402756
    {'lmfdb_iso': '9600.q', 'p': 59, 'prec': 20, 'unit': 2271112068260942666707272058850764, 'val': 1}
  • id: 402761
    {'lmfdb_iso': '9600.q', 'p': 61, 'prec': 20, 'unit': 7814178066040667633350896202525912, 'val': 1}
  • id: 402745
    {'lmfdb_iso': '9600.q', 'p': 67, 'prec': 20, 'unit': 28359572709935831518662136005895217, 'val': 1}
  • id: 402757
    {'lmfdb_iso': '9600.q', 'p': 73, 'prec': 20, 'unit': 22737615249946391248029068621408424, 'val': 1}
  • id: 402752
    {'lmfdb_iso': '9600.q', 'p': 79, 'prec': 20, 'unit': 618544017924856092933272006557299540, 'val': 1}
  • id: 402758
    {'lmfdb_iso': '9600.q', 'p': 83, 'prec': 20, 'unit': 1023338645200849198120259864266119604, 'val': 1}
  • id: 402759
    {'lmfdb_iso': '9600.q', 'p': 89, 'prec': 20, 'unit': 10593399373568106212673081397868776786, 'val': 1}
  • id: 402744
    {'lmfdb_iso': '9600.q', 'p': 97, 'prec': 20, 'unit': 28805847712727033535554577955800239272, 'val': 1}