Elliptic curve data - 235200.c1

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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': '235200c', 'Clabel': '235200c1', 'Cnumber': 1, 'abc_quality': 1.0244474458248836, 'absD': 215796940800000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, -1, 0, -1709633, -490108863], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 235200, 'degree': 10321920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6004540923306105395068462950', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [393349474783, 153600000], 'lmfdb_iso': '235200.c', 'lmfdb_label': '235200.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1068, -8112], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '120.6.0.?', '210.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 4, 78400], [5, 14, 9408], [7, 20, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26953682800981406180428026034', 'prec': 103}, 'szpiro_ratio': 4.420126539631997, '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, -6, 0, -6, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, -1, 0, 0, -6, -6, 0, -4, 0, 8, -2, 4, 10, -6, -2, 10, -4, 14, 14, 8, 6, -8, 8, 18, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 235200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '235200.c', 'trace_hash': 1347532229739947110}
• 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': '0.0055115566359120941517040662177', 'prec': 110}, 'conductor': 235200, 'gens': [], 'heights': [], 'lmfdb_label': '235200.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13650237492164029828289888457', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0920189993731223862631910765846055467', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-303, 0, 1]], 'xcoord_integral_points': [-303]}
• lmfdb_label 235200.c1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10169249
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '235200.c1', 'torsion': [2, 2]}
  • id: 10169250
    {'degree': 4, 'field': [60, -4, 5, -2, 1], 'lmfdb_label': '235200.c1', 'torsion': [4]}
  • id: 10169253
    {'degree': 8, 'field': [-367500, 0, -143570, 0, 2100, 0, 0, 0, 1], 'lmfdb_label': '235200.c1', 'torsion': [6]}
  • id: 10169252
    {'degree': 8, 'field': [400, 0, -10, 0, -99, 0, 32, 0, 1], 'lmfdb_label': '235200.c1', 'torsion': [2, 4]}
  • id: 10169251
    {'degree': 8, 'field': [7921, 0, -12044, 0, -954, 0, -44, 0, 1], 'lmfdb_label': '235200.c1', 'torsion': [2, 4]}
  • id: 10169254
    {'degree': 16, 'field': [1251720, 100800, -7811560, 2423280, 21997766, -31057160, 18899744, -6457144, 1268045, -73736, -32112, 10192, -556, -208, 72, -8, 1], 'lmfdb_label': '235200.c1', 'torsion': [8]}
  • id: 10169255
    {'degree': 16, 'field': [299997440920, -228606205200, 783652940, 32332062160, -4530296720, -942835360, -49863996, 71125816, 2868456, -1878836, -104094, 6800, 7144, -476, -19, -6, 1], 'lmfdb_label': '235200.c1', '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: 5827599
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 32, 'j_denominator_valuation': 14, 'kodaira_symbol': -26, 'lmfdb_label': '235200.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5827600
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '235200.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5827601
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '235200.c1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5827602
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '235200.c1', 'prime': 7, '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: 3160654
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [124, 1, 599, 0], [562, 1, 559, 0], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 235200, 'lmfdb_label': '235200.c1', 'prime': 0}
  • id: 854633
    {'conductor': 235200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '235200.c1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235200.c does not appear in ec_padic