Elliptic curve data - 260100.e1

Formats: - HTML - YAML - JSON - 2024-06-11T14:30:24.750801

• 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': '260100e', 'Clabel': '260100e2', 'Cnumber': 2, 'absD': 34325958427800750000, 'ainvs': [0, 0, 0, 0, -281883375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 260100, 'degree': 9517824, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4274187005142203641623781842', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '260100.e', 'lmfdb_label': '260100.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 17], 'min_quad_twist_disc': -255, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7975944996557010748836114688', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 103}, 'szpiro_ratio': 4.205461895569042, '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, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, -7, 0], 'aplist': [0, 0, 0, -5, 0, 7, 0, -7, 0, 0, 11, -11, 0, 13, 0, 0, 0, -13, -5, 0, 10, -4, 0, 0, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 260100, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '260100.e', 'trace_hash': 567223466382515181}
• 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': '0.0077905999938782861276526740169', 'prec': 110}, 'conductor': 260100, 'gens': [[1734, 70227, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7975944996557010748836114688', 'prec': 100}], 'lmfdb_label': '260100.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.094846244033322957188775654211', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1378231171429333689940369575000159340', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [1734]}
• lmfdb_label 260100.e1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11151932
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '260100.e1', 'torsion': [3]}
  • id: 11151933
    {'degree': 3, 'field': [-12, 6, -1, 1], 'lmfdb_label': '260100.e1', 'torsion': [2]}
  • id: 11151934
    {'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '260100.e1', 'torsion': [2, 2]}
  • id: 11151936
    {'degree': 6, 'field': [96, -24, -8, 12, 5, -3, 1], 'lmfdb_label': '260100.e1', 'torsion': [6]}
  • id: 11151935
    {'degree': 6, 'field': [4895, -615, 204, -131, 0, -3, 1], 'lmfdb_label': '260100.e1', 'torsion': [3]}
  • id: 11151937
    {'degree': 12, 'field': [-9794, -11956, 27024, -18086, 5911, -2238, 814, -48, -87, -10, 16, -6, 1], 'lmfdb_label': '260100.e1', 'torsion': [4]}
  • id: 11151940
    {'degree': 12, 'field': [400, -900, 695, -45, -144, 63, -77, 60, 21, -15, 8, -3, 1], 'lmfdb_label': '260100.e1', 'torsion': [2, 6]}
  • id: 11151938
    {'degree': 12, 'field': [23961025, -3010425, -620355, 1157030, -38949, -41409, 25106, 609, -597, 262, 9, -3, 1], 'lmfdb_label': '260100.e1', 'torsion': [3, 3]}
  • id: 11151939
    {'degree': 12, 'field': [61931311, 21314918, -6896142, 1546749, 910987, -287664, 61781, 2496, -1701, 433, -7, -3, 1], 'lmfdb_label': '260100.e1', 'torsion': [7]}
  • id: 11151942
    {'degree': 18, 'field': [-4444, 119160, -44184, 133716, -170622, 31380, -46233, 57699, 19365, -22978, 417, 2355, -120, 129, 27, -18, -3, -3, 1], 'lmfdb_label': '260100.e1', 'torsion': [6]}
  • id: 11151941
    {'degree': 18, 'field': [220348864, -179489472, -52533504, 108486048, 23022240, -32983488, 9702420, 3671580, -1431108, -95461, 324597, 4257, -7854, 1734, 603, -147, 21, 0, 1], 'lmfdb_label': '260100.e1', '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: 6447307
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '260100.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6447308
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '260100.e1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6447309
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '260100.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6447310
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '260100.e1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• lmfdb_label 260100.e1 does not appear in ec_galrep
• lmfdb_iso 260100.e does not appear in ec_padic