Elliptic curve data - 67600.cy1

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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': '67600di', 'Clabel': '67600di2', 'Cnumber': 2, 'abc_quality': 0.9377878821365829, 'absD': 84835994984000000000, 'adelic_genus': 41, 'adelic_index': 1152, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -23526208, 43926990912], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 67600, 'degree': 3194880, 'elladic_images': ['16.24.0.22', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8861440369780718092437964338', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2], 'jinv': [16974593, 1], 'lmfdb_iso': '67600.cy', 'lmfdb_label': '67600.cy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -348, -2644], 'min_quad_twist_disc': -260, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '4.6.0.d.1', '6.9.0.a.1', '8.12.0.w.1', '12.18.0.k.1', '16.24.0.o.1', '24.72.2.hl.2', '30.18.0.c.1', '39.6.0.b.1', '40.24.0.el.2', '48.144.5.eo.1', '60.36.0.bz.1', '78.18.0.?', '80.48.1.?', '104.24.0.?', '120.144.5.?', '130.6.0.?', '156.36.1.?', '208.48.1.?', '240.288.13.?', '260.24.0.?', '312.144.7.?', '390.36.1.?', '520.96.1.?', '624.288.17.?', '780.144.3.?', '1040.192.5.?', '1560.576.17.?', '3120.1152.41.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 65], [5, 14, 2704], [13, 62, 400]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93779359600360133316412076875', 'prec': 107}, 'szpiro_ratio': 5.622914958992652, '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, 2, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 6, 0], 'aplist': [0, 2, 0, 0, -2, 0, 0, 6, -6, -6, 6, -6, 8, 6, -8, 12, 2, 6, -12, -2, -6, 0, -4, 8, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 67600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '67600.cy', 'trace_hash': 627737294662831975}
• 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': '0.0031126274384283115961428193998', 'prec': 110}, 'conductor': 67600, 'gens': [], 'heights': [], 'lmfdb_label': '67600.cy1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18162433101557352572763788483', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9059892962491764116422061572256420872', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[2817, 0, 1]], 'xcoord_integral_points': [2817]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '67600.cy1'}
• ec_torsion_growth •

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

  
  
  • id: 3219399
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '67600.cy1', 'torsion': [2, 2]}
  • id: 3219400
    {'degree': 4, 'field': [16, 4, -24, -1, 1], 'lmfdb_label': '67600.cy1', 'torsion': [2, 4]}
  • id: 3219402
    {'degree': 8, 'field': [-12675, 0, 4225, 0, -390, 0, 0, 0, 1], 'lmfdb_label': '67600.cy1', 'torsion': [6]}
  • id: 3219401
    {'degree': 8, 'field': [4096, 0, 2112, 0, 384, 0, 33, 0, 1], 'lmfdb_label': '67600.cy1', 'torsion': [2, 4]}
  • id: 3219403
    {'degree': 16, 'field': [4096, 1024, 1152, -12928, 1152, -1136, 4882, -34, 2405, -246, 84, -198, 2, -2, 2, 0, 1], 'lmfdb_label': '67600.cy1', 'torsion': [4, 4]}
  • id: 3219404
    {'degree': 16, 'field': [20736, -41472, 8064, 24192, 69464, -84872, -80174, 46504, 33659, 4196, 2026, -240, -428, -36, -20, 0, 1], 'lmfdb_label': '67600.cy1', 'torsion': [2, 8]}
  • id: 3219406
    {'degree': 16, 'field': [97880121, 60374856, -117803333, -6614786, 39942251, -6097670, -4571462, 1250210, 111057, -79170, 15978, 370, -1094, 134, 2, -4, 1], 'lmfdb_label': '67600.cy1', 'torsion': [2, 6]}
  • id: 3219405
    {'degree': 16, 'field': [160655625, 0, 53551875, 0, 12907375, 0, 1647750, 0, 164775, 0, 8450, 0, 390, 0, 0, 0, 1], 'lmfdb_label': '67600.cy1', 'torsion': [3, 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: 1635202
    {'conductor': 67600, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '67600.cy1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1635203
    {'conductor': 67600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '67600.cy1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1635204
    {'conductor': 67600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '67600.cy1', 'prime': 13, '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: 2111400
    {'adelic_gens': [[2117, 48, 660, 1313], [3073, 48, 3072, 49], [1, 24, 24, 577], [1, 0, 48, 1], [1424, 3103, 1, 256], [33, 16, 2000, 2577], [1, 48, 0, 1], [19, 18, 210, 199], [1393, 3072, 666, 2431], [2081, 48, 0, 1], [1216, 3093, 1203, 976]], 'adelic_image': '3120.1152.41.?', 'conductor': 67600, 'lmfdb_label': '67600.cy1', 'prime': 0}
  • id: 282513
    {'conductor': 67600, 'elladic_image': '16.24.0.22', 'lmfdb_label': '67600.cy1', 'modell_image': '2B', 'prime': 2}
  • id: 282514
    {'conductor': 67600, 'elladic_image': '3.3.0.1', 'lmfdb_label': '67600.cy1', 'modell_image': '3Nn', 'prime': 3}
• lmfdb_iso 67600.cy does not appear in ec_padic