Elliptic curve data - 207200.k2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '207200q', 'Clabel': '207200q2', 'Cnumber': 2, 'abc_quality': 0.838377822693463, 'absD': 210366016000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1480, 'ainvs': [0, 1, 0, -2968, -67032], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207200, 'degree': 279552, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92211039605321928589787962875', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [-45194100328, 3286969], 'lmfdb_iso': '207200.k', 'lmfdb_label': '207200.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2968, -67032], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.a.1', '296.6.0.?', '740.6.0.?', '1480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9116348801964713270422313532', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [5, 10, 8288], [7, 8, 29600], [37, 38, 5600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.00010946747526478981523429564994', 'prec': 117}, 'szpiro_ratio': 2.9178966251164575, '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, 1, 0, 1, 0, 4, 0, -2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, -2, 0, 1, 4, -2, -6, 0, 8, 4, -6, -1, -2, -4, -8, -6, 8, 8, -10, -8, -4, 14, 14, 14, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 207200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '207200.k', 'trace_hash': 1877475939092411383}
• 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': '0.15814850345324785543467206016', 'prec': 103}, 'conductor': 207200, 'gens': [[98, 770, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9116348801964713270422313532', 'prec': 100}], 'lmfdb_label': '207200.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32205339617147669610113750835', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9251880432570205719868957232344687871', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[63, 0, 1]], 'xcoord_integral_points': [63, 98, 322]}
• lmfdb_label 207200.k2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9061955
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 2]}
  • id: 9061956
    {'degree': 4, 'field': [-160, 0, 10, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [4]}
  • id: 9061959
    {'degree': 8, 'field': [-3000000, 0, 3800000, 0, 6000, 0, 0, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [6]}
  • id: 9061958
    {'degree': 8, 'field': [256, 0, 416, 0, 16, 0, 26, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 4]}
  • id: 9061957
    {'degree': 8, 'field': [7921, 0, -2908, 0, 304, 0, -12, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 4]}
  • id: 9061961
    {'degree': 16, 'field': [2883690000, 0, -561960000, 0, -90996000, 0, 12736000, 0, 1487000, 0, 46000, 0, 2920, 0, 80, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 6]}
  • id: 9061960
    {'degree': 16, 'field': [200933441536, 0, 26705805312, 0, -9624084480, 0, 7912832, 0, 24396484, 0, 1967968, 0, 48420, 0, 368, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [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: 5132228
    {'conductor': 207200, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '207200.k2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5132229
    {'conductor': 207200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '207200.k2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5132230
    {'conductor': 207200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '207200.k2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5132231
    {'conductor': 207200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '207200.k2', 'prime': 37, '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: 2990034
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 739, 0], [556, 929, 185, 1296], [1188, 1, 1183, 0], [1001, 4, 522, 9], [1477, 4, 1476, 5]], 'adelic_image': '1480.12.0.?', 'conductor': 207200, 'lmfdb_label': '207200.k2', 'prime': 0}
  • id: 765328
    {'conductor': 207200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '207200.k2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 207200.k does not appear in ec_padic