Elliptic curve data - 265200.u2

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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': '265200u', 'Clabel': '265200u2', 'Cnumber': 2, 'abc_quality': 0.9855824332080022, 'absD': 5079740778406027500000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2652, 'ainvs': [0, -1, 0, -75387508, 274310462512], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 265200, 'degree': 48660480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4789880710329166957170244813', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [-11845731628994222232016, 1269935194601506875], 'lmfdb_iso': '265200.u', 'lmfdb_label': '265200.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3015500, -2193277500], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '52.6.0.c.1', '102.6.0.?', '2652.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2121709944425696354718234004', 'prec': 100}, 'szpiro_ratio': 5.300828420854156, '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, -2, 0, 1, 0, -4, 0, -1, 0, 0, 0, 1, 0, 0, 0], 'aplist': [0, -1, 0, -2, -4, -1, 1, 0, 8, 6, 2, -4, -2, -4, 2, -10, -10, 14, -12, 8, -8, 0, 14, -8, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 265200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '265200.u', 'trace_hash': 2227581911621751471}
• 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': '0.00095101935623573241871856491811', 'prec': 113}, 'conductor': 265200, 'gens': [], 'heights': [], 'lmfdb_label': '265200.u2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.074695747851677286535565665212', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.89634897422012743842678798254867513007', 'prec': 133}, 'tamagawa_product': 48, 'torsion_generators': [[-10123, 0, 1]], 'xcoord_integral_points': [-10123]}
• lmfdb_label 265200.u2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11351728
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '265200.u2', 'torsion': [2, 2]}
  • id: 11351729
    {'degree': 4, 'field': [-81, -33, -15, -1, 1], 'lmfdb_label': '265200.u2', 'torsion': [4]}
  • id: 11351732
    {'degree': 8, 'field': [-300, 0, 820, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '265200.u2', 'torsion': [6]}
  • id: 11351731
    {'degree': 8, 'field': [13689, 22815, 16809, 1404, 217, 202, -6, -2, 1], 'lmfdb_label': '265200.u2', 'torsion': [2, 4]}
  • id: 11351730
    {'degree': 8, 'field': [9259420, -3687320, 38176, 104656, -1094, -656, -80, -2, 1], 'lmfdb_label': '265200.u2', 'torsion': [2, 4]}
  • id: 11351734
    {'degree': 16, 'field': [343256401, -1290315776, 1525775328, -495308352, 310695126, -81566616, 37438600, -9574616, 3413259, -732192, 200400, -31368, 6866, -784, 132, -8, 1], 'lmfdb_label': '265200.u2', 'torsion': [2, 6]}
  • id: 11351733
    {'degree': 16, 'field': [19698403201, 0, -412519454896, 0, -17257430166, 0, 2154212188, 0, 41135863, 0, -532916, 0, -7974, 0, 68, 0, 1], 'lmfdb_label': '265200.u2', '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: 6572991
    {'conductor': 265200, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '265200.u2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6572992
    {'conductor': 265200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '265200.u2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6572993
    {'conductor': 265200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '265200.u2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6572994
    {'conductor': 265200, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '265200.u2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6572995
    {'conductor': 265200, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '265200.u2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3342697
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [665, 1990, 1988, 663], [2649, 4, 2648, 5], [1094, 1, 779, 0], [613, 4, 1226, 9], [886, 1, 883, 0]], 'adelic_image': '2652.12.0.?', 'conductor': 265200, 'lmfdb_label': '265200.u2', 'prime': 0}
  • id: 950450
    {'conductor': 265200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '265200.u2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 265200.u does not appear in ec_padic