Elliptic curve data - 2541.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2541a', 'Clabel': '2541a1', 'Cnumber': 1, 'abc_quality': 0.9949069283037906, 'absD': 18384729725270601, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 168, 'ainvs': [1, 1, 0, -389622, -93997647], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 2541, 'degree': 28512, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9931586670641512762457284193', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [-30515071121161, 85766121], 'lmfdb_iso': '2541.i', 'lmfdb_label': '2541.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3220, 69158], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '168.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39456181853190424687109936732', 'prec': 103}, 'szpiro_ratio': 6.407556571902373, '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, 1, -1, -1, -3, 1, 1, 0, 1, -5, -1, -1, -1, 7, 1, 6, -1], 'aplist': [1, -1, 1, -1, 0, -5, 7, 6, -4, -9, -2, 9, 7, 6, 2, 3, 2, -6, 8, 6, 10, 14, 0, -9, 17], 'class_deg': 1, 'class_size': 1, 'conductor': 2541, 'isogeny_matrix': [[1]], 'lmfdb_iso': '2541.i', 'trace_hash': 2005146061577169771}
• 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': '0.018567967986598976752786303243', 'prec': 107}, 'conductor': 2541, 'gens': [], 'heights': [], 'lmfdb_label': '2541.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.095529045390286617094851438189', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5284647262445858735176230110200788998', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [0, 0], '5': [2, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '2541.i1'}
• ec_torsion_growth •

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

  
  
  • id: 131364
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '2541.i1', 'torsion': [2]}
  • id: 131365
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '2541.i1', 'torsion': [2, 2]}
  • id: 131366
    {'degree': 8, 'field': [-1, 1, 2, -7, 7, -7, 7, -4, 1], 'lmfdb_label': '2541.i1', 'torsion': [3]}
  • id: 131367
    {'degree': 12, 'field': [-1764, 0, -2903, 0, -1015, 0, 514, 0, -50, 0, -7, 0, 1], 'lmfdb_label': '2541.i1', 'torsion': [4]}
• 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: 43969
    {'conductor': 2541, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2541.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 43970
    {'conductor': 2541, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2541.i1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 43971
    {'conductor': 2541, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '2541.i1', 'prime': 11, 'reduction_type': 0, '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: 1680548
    {'adelic_gens': [[3, 4, 64, 11], [2, 3, 163, 161], [51, 4, 80, 11], [87, 4, 8, 11], [165, 164, 160, 157], [1, 4, 0, 1], [1, 0, 4, 1], [165, 4, 164, 5], [85, 25, 0, 43], [1, 2, 2, 5]], 'adelic_image': '168.4.0.?', 'conductor': 2541, 'lmfdb_label': '2541.i1', 'prime': 0}
  • id: 12684
    {'conductor': 2541, 'elladic_image': '4.2.0.1', 'lmfdb_label': '2541.i1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 2541.i does not appear in ec_padic