Elliptic curve data - 226941.c2

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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': '226941e', 'Clabel': '226941e1', 'Cnumber': 1, 'abc_quality': 0.9182691001709974, 'absD': 530223252384969, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 39468, 'ainvs': [1, 1, 1, -4386479, 3534253076], 'analytic_rank': 2, 'bad_primes': [3, 11, 13, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 226941, 'degree': 3750912, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2919300363759954724786756625', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [63052870949070913, 3581721], 'lmfdb_iso': '226941.c', 'lmfdb_label': '226941.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -8292, -294084], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '6578.6.0.?', '39468.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.8974531655218643555502815672', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72418292841142062707529924659', 'prec': 103}, 'szpiro_ratio': 4.662150421179496, '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, -1, -1, -1, -2, 1, 2, 3, 1, 2, 1, 1, 1, -2, 2, -1, -2, -1, -6, 2], 'aplist': [-1, -1, -2, 2, 1, 1, -2, -6, 0, 4, -10, -6, 2, -4, 4, -12, -4, -2, -8, -4, 2, -16, 12, -2, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 226941, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '226941.c', 'trace_hash': 1186501687685359493}
• 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': '0.010215387952233898513482234157', 'prec': 107}, 'conductor': 226941, 'gens': [[1577, 22487, 1], [59816, 37780, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '0.97820303276427677964901029680', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.9935909687508957241058541357', 'prec': 100}], 'lmfdb_label': '226941.c2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.39169165041429182697092067290', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8094492744082399560504422938371060519', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1209, -605, 1]], 'xcoord_integral_points': [1209, 1212, 1401, 1577, 1738, 15492, 123776]}
• lmfdb_label 226941.c2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9852273
    {'degree': 2, 'field': [-822, -1, 1], 'lmfdb_label': '226941.c2', 'torsion': [2, 2]}
  • id: 9852274
    {'degree': 4, 'field': [184, -12, -31, 0, 1], 'lmfdb_label': '226941.c2', 'torsion': [4]}
  • id: 9852277
    {'degree': 8, 'field': [169, -2704, 2782, -157, 82, -7, 7, -4, 1], 'lmfdb_label': '226941.c2', 'torsion': [6]}
  • id: 9852276
    {'degree': 8, 'field': [14400, 0, -23868, 0, 3985, 0, -130, 0, 1], 'lmfdb_label': '226941.c2', 'torsion': [2, 4]}
  • id: 9852275
    {'degree': 8, 'field': [1579108644, 0, 10331681, 0, -34510, 0, 94, 0, 1], 'lmfdb_label': '226941.c2', 'torsion': [2, 4]}
  • id: 9852279
    {'degree': 16, 'field': [47775744, 0, 2560865697792, 0, -117218373120, 0, 1506940416, 0, -34277907, 0, 1500151, 0, -20310, 0, 0, 0, 1], 'lmfdb_label': '226941.c2', 'torsion': [2, 6]}
  • id: 9852278
    {'degree': 16, 'field': [925718044828356, 230326978831560, -212218254011556, -35702430094656, 16570960309194, 1515941533176, -471551492982, -28584267612, 6704509705, 291179368, -55055426, -1719980, 274348, 5656, -788, -8, 1], 'lmfdb_label': '226941.c2', '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: 5626723
    {'conductor': 226941, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '226941.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5626724
    {'conductor': 226941, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '226941.c2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5626725
    {'conductor': 226941, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '226941.c2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5626726
    {'conductor': 226941, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '226941.c2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3111311
    {'adelic_gens': [[29605, 9868, 29600, 9867], [1, 0, 4, 1], [3, 4, 8, 11], [3590, 1, 17939, 0], [1, 2, 2, 5], [1, 4, 0, 1], [12146, 1, 33395, 0], [29174, 1, 5147, 0], [13157, 4, 26314, 9], [39465, 4, 39464, 5]], 'adelic_image': '39468.12.0.?', 'conductor': 226941, 'lmfdb_label': '226941.c2', 'prime': 0}
  • id: 828984
    {'conductor': 226941, 'elladic_image': '2.3.0.1', 'lmfdb_label': '226941.c2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 226941.c does not appear in ec_padic