Elliptic curve data - 422142.i1

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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': '422142i', 'Clabel': '422142i2', 'Cnumber': 2, 'abc_quality': 1.0901094733690062, 'absD': 13467120894108, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1596, 'ainvs': [1, 1, 0, -79625, -8679591], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 422142, 'degree': 1610752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5082425729350379054333010121', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [377149515625, 90972], 'lmfdb_iso': '422142.i', 'lmfdb_label': '422142.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -150, 648], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.a.1', '228.6.0.?', '1596.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3703], [3, 4, 140714], [7, 8, 60306], [19, 20, 22218], [23, 266, 798]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.059504535029536939970075403804', 'prec': 110}, 'szpiro_ratio': 3.510270380252492, '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, 0, 1, 1, -1, 1, 0, -2, -1, -4, -1, 0, 1, 0, -1, 1, 0], 'aplist': [-1, -1, 0, 1, -2, -4, 0, 1, 0, 6, -4, 6, -6, 0, -4, 10, -4, 2, 6, 12, -14, 14, -4, 14, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 422142, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '422142.i', 'trace_hash': 2195140538125932763}
• 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': '0.048973049329407909905251423428', 'prec': 107}, 'conductor': 422142, 'gens': [], 'heights': [], 'lmfdb_label': '422142.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28421223474697458339488680718', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1368489389878983335795472287277249363', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-661, 661, 2]], 'xcoord_integral_points': []}
• lmfdb_label 422142.i1 does not appear in ec_iwasawa
• lmfdb_label 422142.i1 does not appear in ec_torsion_growth
• 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: 10430043
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.i1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10430044
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10430045
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '422142.i1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10430046
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.i1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10430047
    {'conductor': 422142, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '422142.i1', 'prime': 23, 'reduction_type': 0, '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: 4273160
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [400, 1201, 1197, 400], [1, 4, 0, 1], [533, 4, 1066, 9], [1593, 4, 1592, 5], [230, 1, 683, 0], [1009, 4, 422, 9]], 'adelic_image': '1596.12.0.?', 'conductor': 422142, 'lmfdb_label': '422142.i1', 'prime': 0}
  • id: 1424132
    {'conductor': 422142, 'elladic_image': '2.3.0.1', 'lmfdb_label': '422142.i1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 422142.i does not appear in ec_padic