Elliptic curve data - 35904.ch2

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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': '35904cs', 'Clabel': '35904cs4', 'Cnumber': 4, 'abc_quality': 1.103954672669075, 'absD': 5322367231061579878367232, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, 1, 0, -1062042113, 13321841264127], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 35904, 'degree': 13271040, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8272392457789649156442933530', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-505369473241574671219626625, 20303219722982711328], 'lmfdb_iso': '35904.ch', 'lmfdb_label': '35904.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16594408, -26021295520], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '8.6.0.a.1', '24.48.0-24.p.1.3', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7875184749390469515184451708', 'prec': 100}, 'szpiro_ratio': 7.05184891833804, '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, -2, 0, 1, 0, 1, 0, 4, 0, 0, 0, -1, 0, 8, 0], 'aplist': [0, 1, 0, -2, 1, 4, -1, 8, -6, -6, 4, -2, -6, -4, -6, 12, 0, 4, -4, -6, 2, 10, 12, 18, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 35904, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '35904.ch', 'trace_hash': 1266794210830541073}
• 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': '0.00047391693627203234525908111585', 'prec': 113}, 'conductor': 35904, 'gens': [], 'heights': [], 'lmfdb_label': '35904.ch2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.071680189916683602781464408294', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5804868370006097001327186985866543058', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-37631, 0, 1]], 'xcoord_integral_points': [-37631]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '11': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '35904.ch2'}
• ec_torsion_growth •

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

  
  
  • id: 1782043
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [6]}
  • id: 1782042
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [2, 2]}
  • id: 1782044
    {'degree': 4, 'field': [-8, 0, 1, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [4]}
  • id: 1782045
    {'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [2, 6]}
  • id: 1782046
    {'degree': 6, 'field': [4364, 792, 12, -132, 6, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [2, 6]}
  • id: 1782047
    {'degree': 8, 'field': [16, 0, -32, 0, 26, 0, -8, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [2, 4]}
  • id: 1782049
    {'degree': 8, 'field': [36, 0, -84, 0, 37, 0, -8, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [12]}
  • id: 1782048
    {'degree': 8, 'field': [36, 0, 204, 0, 13, 0, 10, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [2, 4]}
  • id: 1782050
    {'degree': 12, 'field': [19044496, -3456288, 574896, -1161600, 78504, 11088, 26080, 0, 24, -264, -6, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [6, 6]}
  • id: 1782053
    {'degree': 16, 'field': [9, 0, -120, 0, 349, 0, 384, 0, 444, 0, 136, 0, 93, 0, 0, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [2, 12]}
  • id: 1782052
    {'degree': 16, 'field': [256, 0, 512, 0, 608, 0, 576, 0, 404, 0, 144, 0, 38, 0, 8, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [2, 12]}
  • id: 1782051
    {'degree': 16, 'field': [1251461376, 0, -892039104, 0, 96145764, 0, 15822708, 0, 2864185, 0, 70388, 0, -3210, 0, 8, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [8]}
  • id: 1782054
    {'degree': 18, 'field': [-4597552837872, -6211268469504, -2365956743040, 411032284848, 528801889608, 104716751184, -21210653108, -11711477304, -877405524, 374820228, 65260050, -5505048, -1697729, 38538, 25773, -90, -240, 0, 1], 'lmfdb_label': '35904.ch2', 'torsion': [18]}
• 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: 845865
    {'conductor': 35904, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '35904.ch2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 845866
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35904.ch2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 845867
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35904.ch2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 845868
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '35904.ch2', 'prime': 17, 'reduction_type': -1, '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: 1904094
    {'adelic_gens': [[254, 261, 159, 8], [145, 12, 78, 73], [253, 12, 252, 13], [1, 0, 12, 1], [11, 2, 214, 255], [1, 6, 6, 37], [1, 12, 0, 1], [54, 263, 187, 142], [89, 12, 226, 73]], 'adelic_image': '264.96.1.?', 'conductor': 35904, 'lmfdb_label': '35904.ch2', 'prime': 0}
  • id: 159363
    {'conductor': 35904, 'elladic_image': '8.6.0.5', 'lmfdb_label': '35904.ch2', 'modell_image': '2B', 'prime': 2}
  • id: 159364
    {'conductor': 35904, 'elladic_image': '3.4.0.1', 'lmfdb_label': '35904.ch2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 35904.ch does not appear in ec_padic