Elliptic curve data - 289800.cs3

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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': '289800cs', 'Clabel': '289800cs2', 'Cnumber': 2, 'abc_quality': 0.9046466342741584, 'absD': 15306091290000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19320, 'ainvs': [0, 0, 0, -2421075, -1437705250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 289800, 'degree': 7864320, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5006975710704509892471314869', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2], 'jinv': [134555337776164, 1312250625], 'lmfdb_iso': '289800.cs', 'lmfdb_label': '289800.cs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10760, 422400], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '28.12.0.b.1', '60.12.0-2.a.1.1', '184.12.0.?', '420.24.0.?', '1288.24.0.?', '2760.24.0.?', '19320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3565768600467188645685691554', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56904982005272486506810243395', 'prec': 103}, 'szpiro_ratio': 4.429753320689736, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 0, 0, 1, 0, 0, 0, -4, 0, -2, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, 0, 0, 1, -4, -2, -2, -8, 1, 2, -4, -6, 6, -4, -12, -10, -12, -2, 4, 8, 14, 8, 0, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 289800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '289800.cs', 'trace_hash': 2169491467704710817}
• 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': '0.0067285531596781875235510170494', 'prec': 110}, 'conductor': 289800, 'gens': [[1979, 39008, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3565768600467188645685691554', 'prec': 100}], 'lmfdb_label': '289800.cs3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12110252679651767750056034438', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1895599418513143394300976331265506478', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-830, 0, 1], [1795, 0, 1]], 'xcoord_integral_points': [-965, -830, 1795, 1979, 41170]}
• lmfdb_label 289800.cs3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12305290
    {'degree': 4, 'field': [274, 26, -25, -2, 1], 'lmfdb_label': '289800.cs3', 'torsion': [2, 4]}
  • id: 12305289
    {'degree': 4, 'field': [2454, 84, -83, -2, 1], 'lmfdb_label': '289800.cs3', 'torsion': [2, 4]}
  • id: 12305288
    {'degree': 4, 'field': [8464, 0, -506, 0, 1], 'lmfdb_label': '289800.cs3', 'torsion': [2, 4]}
  • id: 12305291
    {'degree': 8, 'field': [-3030075, 0, -36840, 0, -6030, 0, 0, 0, 1], 'lmfdb_label': '289800.cs3', 'torsion': [2, 6]}
  • id: 12305294
    {'degree': 16, 'field': [1679616, 0, 559872, 0, 26964576, 0, -5036688, 0, 133598689, 0, -139908, 0, 20806, 0, 12, 0, 1], 'lmfdb_label': '289800.cs3', 'torsion': [2, 8]}
  • id: 12305295
    {'degree': 16, 'field': [278768644, 604738008, 118572972, -196890876, 111789217, -21323280, 6348885, 149394, -234270, 31620, -10581, 330, -92, -84, 39, -6, 1], 'lmfdb_label': '289800.cs3', 'torsion': [2, 8]}
  • id: 12305292
    {'degree': 16, 'field': [115351253956, 0, 18523829368, 0, 1071765872, 0, 57957108, 0, 2333333, 0, 17424, 0, 2858, 0, -44, 0, 1], 'lmfdb_label': '289800.cs3', 'torsion': [4, 4]}
  • id: 12305293
    {'degree': 16, 'field': [1076720993296, 2489790180096, -1060662510112, -2831095977472, 1348384960496, 78552423264, -22826189512, -2783896848, 579054169, 76373688, -13709948, -843080, 131838, 3976, -548, -8, 1], 'lmfdb_label': '289800.cs3', 'torsion': [2, 8]}
• 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: 7179406
    {'conductor': 289800, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '289800.cs3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7179407
    {'conductor': 289800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '289800.cs3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7179408
    {'conductor': 289800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '289800.cs3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7179409
    {'conductor': 289800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '289800.cs3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7179410
    {'conductor': 289800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '289800.cs3', 'prime': 23, '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: 3489959
    {'adelic_gens': [[2761, 2580, 6810, 5161], [1, 4, 0, 1], [19317, 4, 19316, 5], [4831, 1290, 0, 1], [6439, 0, 0, 19319], [9661, 1290, 0, 1], [1, 0, 4, 1], [3863, 0, 0, 19319], [6721, 1290, 0, 1]], 'adelic_image': '19320.48.0.?', 'conductor': 289800, 'lmfdb_label': '289800.cs3', 'prime': 0}
  • id: 1026789
    {'conductor': 289800, 'elladic_image': '2.6.0.1', 'lmfdb_label': '289800.cs3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 289800.cs does not appear in ec_padic