Elliptic curve data - 369600.fe1

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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': '369600fe', 'Clabel': '369600fe2', 'Cnumber': 2, 'abc_quality': 0.9521071944510072, 'absD': 982327500000000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1540, 'ainvs': [0, -1, 0, -3547633, -2082282863], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 369600, 'degree': 13271040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7443012392825837181034101462', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 134, 'isogeny_degrees': [1, 2], 'jinv': [19288565375865424, 3837216796875], 'lmfdb_iso': '369600.fe', 'lmfdb_label': '369600.fe1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -35476, -2071640], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '44.6.0.a.1', '140.6.0.?', '1540.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1309105724122640031495930046', 'prec': 100}, 'szpiro_ratio': 4.435116499639982, '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, -1, 0, 1, 0, 1, 0, 2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, -1, 1, 2, -2, 0, 6, 2, -6, 2, 0, -8, 4, 6, -6, -8, 10, 0, -6, 16, -12, -10, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 369600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '369600.fe', 'trace_hash': 2123489368050576768}
• 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': '0.0041336169578234425471348340226', 'prec': 110}, 'conductor': 369600, 'gens': [], 'heights': [], 'lmfdb_label': '369600.fe1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11153525166517607964553694211', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7845640266428172743285910738390409055', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-673, 0, 1]], 'xcoord_integral_points': [-673]}
• lmfdb_label 369600.fe1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15339477
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '369600.fe1', 'torsion': [2, 2]}
  • id: 15339478
    {'degree': 4, 'field': [44, 0, -6, 0, 1], 'lmfdb_label': '369600.fe1', 'torsion': [4]}
  • id: 15339481
    {'degree': 8, 'field': [-10800, 0, -24480, 0, -360, 0, 0, 0, 1], 'lmfdb_label': '369600.fe1', 'torsion': [6]}
  • id: 15339479
    {'degree': 8, 'field': [44521, 0, 11800, 0, 1067, 0, 40, 0, 1], 'lmfdb_label': '369600.fe1', 'torsion': [2, 4]}
  • id: 15339480
    {'degree': 8, 'field': [104769, -161316, 60228, 7308, -6566, 460, 20, -4, 1], 'lmfdb_label': '369600.fe1', 'torsion': [2, 4]}
  • id: 15339482
    {'degree': 16, 'field': [4825386225, 0, 940121600, 0, -12754830, 0, -6436980, 0, 174131, 0, 3148, 0, -666, 0, 12, 0, 1], 'lmfdb_label': '369600.fe1', 'torsion': [8]}
  • id: 15339483
    {'degree': 16, 'field': [95480382001, 0, -25476156088, 0, 1465432588, 0, 52356824, 0, -4387370, 0, -139336, 0, 2668, 0, -88, 0, 1], 'lmfdb_label': '369600.fe1', '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: 9142187
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '369600.fe1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9142188
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '369600.fe1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9142189
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '369600.fe1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9142190
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.fe1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9142191
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.fe1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3964172
    {'adelic_gens': [[661, 4, 1322, 9], [1, 2, 2, 5], [1, 4, 0, 1], [1156, 389, 385, 1156], [617, 4, 1234, 9], [1537, 4, 1536, 5], [422, 1, 559, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1540.12.0.?', 'conductor': 369600, 'lmfdb_label': '369600.fe1', 'prime': 0}
  • id: 1268726
    {'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.fe1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 369600.fe does not appear in ec_padic