Elliptic curve data - 207214.t2

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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': '207214e', 'Clabel': '207214e1', 'Cnumber': 1, 'abc_quality': 0.8918288761510615, 'absD': 726308612825824, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 130872, 'ainvs': [1, 1, 1, -28707, -1362335], 'analytic_rank': 2, 'bad_primes': [2, 7, 19, 41], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 207214, 'degree': 829440, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5589081884730983614595774300', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [55611739513, 15438304], 'lmfdb_iso': '207214.t', 'lmfdb_label': '207214.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -80, 190], 'min_quad_twist_disc': -19, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '57.8.0-3.a.1.1', '2296.2.0.?', '6888.8.0.?', '130872.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.8405539583722518961645973336', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.086688698889878131455063714057', 'prec': 107}, 'szpiro_ratio': 3.4643032761089545, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, -1, 1, -3, -1, 1, 1, -2, -3, 0, -1, -2, 1, 3, 1, -3, -2, 0, -3], 'aplist': [1, -1, -3, 1, 0, -2, -3, 0, -6, 3, 1, 4, -1, -1, -6, -9, 6, -1, -8, -3, -10, 1, -12, -3, 1], 'class_deg': 3, 'class_size': 2, 'conductor': 207214, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '207214.t', 'trace_hash': 609393017352403009}
• 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': '0.044253696382631926937969532428', 'prec': 107}, 'conductor': 207214, 'gens': [[-97, 770, 1], [-59, 390, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2743716409000481531739361301', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.4812672274130835658228471257', 'prec': 100}], 'lmfdb_label': '207214.t2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.37446086583358521057321847854', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.784308577310119919935793892857665651', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': [-97, -59, 193, 245, 767, 967]}
• lmfdb_label 207214.t2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9062638
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '207214.t2', 'torsion': [3]}
  • id: 9062639
    {'degree': 3, 'field': [-14, -14, -1, 1], 'lmfdb_label': '207214.t2', 'torsion': [2]}
  • id: 9062641
    {'degree': 6, 'field': [-5034, -456, 628, 17, -33, -1, 1], 'lmfdb_label': '207214.t2', 'torsion': [3]}
  • id: 9062640
    {'degree': 6, 'field': [8, -8, -94, 144, -47, -2, 1], 'lmfdb_label': '207214.t2', 'torsion': [2, 2]}
  • id: 9062642
    {'degree': 6, 'field': [2267, -1159, 252, 47, -14, -1, 1], 'lmfdb_label': '207214.t2', 'torsion': [6]}
  • id: 9062644
    {'degree': 12, 'field': [784, 9408, 35672, -23520, 3528, 546, -1163, 219, 90, 39, -10, -3, 1], 'lmfdb_label': '207214.t2', 'torsion': [3, 3]}
  • id: 9062645
    {'degree': 12, 'field': [2298401, 745374, 1372953, 408378, 333994, 81574, 38645, 5902, 1510, -46, -67, -2, 1], 'lmfdb_label': '207214.t2', 'torsion': [2, 6]}
  • id: 9062643
    {'degree': 12, 'field': [39366537232, 56284971872, 18471834904, -4208131568, -1823962860, 185884632, -6162454, -389404, -58768, -6108, 31, -2, 1], 'lmfdb_label': '207214.t2', 'torsion': [4]}
  • id: 9062647
    {'degree': 18, 'field': [108695393044, -307407599324, 96391805636, 48258651630, -28173676958, 2303771316, 2596331674, 32765944, -147273696, -1977315, 6088157, -15188, -177486, -4074, 3654, 40, -82, -1, 1], 'lmfdb_label': '207214.t2', 'torsion': [6]}
  • id: 9062646
    {'degree': 18, 'field': [160206471364, -56425670676, 21794955408, -25508196070, 19913856468, -7587830208, 1597802723, -130498020, 69716856, -12800389, 5539950, -811116, 284225, -47634, 5568, -1064, 117, -3, 1], 'lmfdb_label': '207214.t2', 'torsion': [9]}
• 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: 5132684
    {'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '207214.t2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 5132685
    {'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '207214.t2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5132686
    {'conductor': 207214, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '207214.t2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5132687
    {'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '207214.t2', 'prime': 41, '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: 2990177
    {'adelic_gens': [[4, 3, 9, 7], [93481, 48222, 108243, 13795], [65437, 48222, 24111, 13795], [130867, 6, 130866, 7], [117095, 0, 0, 130871], [19153, 48222, 16131, 13795], [1, 6, 0, 1], [32719, 48222, 56829, 13795], [3, 4, 8, 11], [5454, 42769, 27265, 54531], [1, 0, 6, 1]], 'adelic_image': '130872.16.0.?', 'conductor': 207214, 'lmfdb_label': '207214.t2', 'prime': 0}
  • id: 765411
    {'conductor': 207214, 'elladic_image': '3.4.0.1', 'lmfdb_label': '207214.t2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 207214.t does not appear in ec_padic