Elliptic curve data - 9600.b1

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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': '9600bm', 'Clabel': '9600bm1', 'Cnumber': 1, 'abc_quality': 1.0166668507585968, 'absD': 7593750000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, -1, 0, -15158, -700938], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9600, 'degree': 23040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2635736086586483687042382914', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [192596360288, 3796875], 'lmfdb_iso': '9600.b', 'lmfdb_label': '9600.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -606, 5850], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '24.6.0.a.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 3200], [5, 18, 128]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.054518797114963417577139887270', 'prec': 107}, 'szpiro_ratio': 4.415992041243165, '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, -4, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, -1, 0, -4, -2, 0, 0, 0, -8, -2, 2, -8, -2, -4, 0, -6, -14, 14, 4, -8, 10, -6, 12, 14, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 9600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9600.b', 'trace_hash': 1089138652402223871}
• 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': '0.079886594615203276506778553100', 'prec': 107}, 'conductor': 9600, 'gens': [], 'heights': [], 'lmfdb_label': '9600.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.43078138673183730489054046848', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.43078138673183730489054046848477138058', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [[-63, 0, 1]], 'xcoord_integral_points': [-63]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a'}, 'iwp0': 3, 'lmfdb_label': '9600.b1'}
• ec_torsion_growth •

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

  
  
  • id: 499491
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '9600.b1', 'torsion': [2, 2]}
  • id: 499492
    {'degree': 4, 'field': [24, 0, -4, 0, 1], 'lmfdb_label': '9600.b1', 'torsion': [4]}
  • id: 499495
    {'degree': 8, 'field': [-7500, 0, -2000, 0, 300, 0, 0, 0, 1], 'lmfdb_label': '9600.b1', 'torsion': [6]}
  • id: 499493
    {'degree': 8, 'field': [-29, 72, -176, 168, 138, -48, -32, 0, 1], 'lmfdb_label': '9600.b1', 'torsion': [2, 4]}
  • id: 499494
    {'degree': 8, 'field': [46, -88, 196, -104, 38, -8, 4, -4, 1], 'lmfdb_label': '9600.b1', 'torsion': [2, 4]}
  • id: 499496
    {'degree': 16, 'field': [10201, 0, -45352, 0, 153348, 0, 3736, 0, 1390, 0, 136, 0, -12, 0, 8, 0, 1], 'lmfdb_label': '9600.b1', 'torsion': [8]}
  • id: 499497
    {'degree': 16, 'field': [9158355, -11747880, 541944, 6264144, -3275172, -257472, 760788, -248976, 22986, 4776, -5160, 1944, -296, 40, 12, -8, 1], 'lmfdb_label': '9600.b1', '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: 202443
    {'conductor': 9600, 'conductor_valuation': 7, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9600.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 202444
    {'conductor': 9600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '9600.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 202445
    {'conductor': 9600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '9600.b1', '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: 1727421
    {'adelic_gens': [[2, 1, 59, 0], [1, 2, 2, 5], [76, 49, 17, 114], [117, 4, 116, 5], [3, 4, 8, 11], [1, 4, 0, 1], [97, 4, 74, 9], [82, 1, 79, 0], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 9600, 'lmfdb_label': '9600.b1', 'prime': 0}
  • id: 46449
    {'conductor': 9600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9600.b1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9600.b does not appear in ec_padic