Elliptic curve data - 22491.l1

Formats: - HTML - YAML - JSON - 2025-09-28T23:51:40.466242

• 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': '22491be', 'Clabel': '22491be1', 'Cnumber': 1, 'abc_quality': 0.9783237290308321, 'absD': 5352946322157, 'adelic_genus': 1, 'adelic_index': 12, 'adelic_level': 1428, 'ainvs': [1, -1, 1, -181040, -29603864], 'analytic_rank': 1, 'bad_primes': [3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 22491, 'degree': 68544, 'elladic_images': ['3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6132450170215296143073335781', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-602280721125, 4913], 'lmfdb_iso': '22491.l', 'lmfdb_label': '22491.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3695, 87364], 'min_quad_twist_disc': -7, 'modell_images': ['3Nn'], 'modm_images': ['3.3.0.a.1', '21.6.0.a.1', '204.6.0.?', '1428.12.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.514147614029390356433236268', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 49], [7, 20, 459], [17, 18, 1323]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12084066693698278737049228871', 'prec': 107}, 'szpiro_ratio': 4.783320146877656, '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, 0, -1, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, -1, -1, 0, 3, 0], 'aplist': [-1, 0, 0, 0, 2, 0, -1, 3, 4, -5, 0, 6, 6, 6, 6, -2, -6, -15, 4, -16, -6, -1, -12, -15, 3], 'class_deg': 1, 'class_size': 1, 'conductor': 22491, 'isogeny_matrix': [[1]], 'lmfdb_iso': '22491.l', 'trace_hash': 400504032077817142}
• 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': '0.039696588219274559750669675874', 'prec': 107}, 'conductor': 22491, 'gens': [[36725147, 221642021267, 46]], 'heights': [{'__RealLiteral__': 0, 'data': '14.514147614029390356433236268', 'prec': 100}], 'lmfdb_label': '22491.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11572465603897992465394629676', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3592894806650647065981474136548631477', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '22491.l1'}
• ec_torsion_growth •

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

  
  
  • id: 1142202
    {'degree': 3, 'field': [-44, -6, 0, 1], 'lmfdb_label': '22491.l1', 'torsion': [2]}
  • id: 1142203
    {'degree': 6, 'field': [51408, 0, 324, 0, -36, 0, 1], 'lmfdb_label': '22491.l1', 'torsion': [2, 2]}
  • id: 1142204
    {'degree': 8, 'field': [1, -5, 1, -2, 7, -5, 1, -2, 1], 'lmfdb_label': '22491.l1', 'torsion': [3]}
  • id: 1142205
    {'degree': 12, 'field': [-181088, -605424, -761112, -310000, 55188, -7488, 3696, -5256, 1368, -148, -6, 0, 1], 'lmfdb_label': '22491.l1', 'torsion': [4]}
  • id: 1142206
    {'degree': 16, 'field': [1, -5, 24, -1, -16, 63, -26, -11, 57, -38, 16, 21, -16, 8, 3, -2, 1], 'lmfdb_label': '22491.l1', 'torsion': [3, 3]}
• 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: 514180
    {'conductor': 22491, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '22491.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 514181
    {'conductor': 22491, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '22491.l1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 514182
    {'conductor': 22491, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '22491.l1', 'prime': 17, 'reduction_type': -1, '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: 1814454
    {'adelic_gens': [[208, 1, 7, 2], [760, 3, 501, 1426], [4, 953, 7, 478], [6, 5, 1417, 1419], [1, 6, 0, 1], [1423, 6, 1422, 7], [4, 3, 711, 1426], [1, 0, 6, 1]], 'adelic_image': '1428.12.1.?', 'conductor': 22491, 'lmfdb_label': '22491.l1', 'prime': 0}
  • id: 103917
    {'conductor': 22491, 'elladic_image': '3.3.0.1', 'lmfdb_label': '22491.l1', 'modell_image': '3Nn', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1059693
    {'lmfdb_iso': '22491.l', 'p': 11, 'prec': 20, 'unit': 18055666053476628834, 'val': 1}
  • id: 1059695
    {'lmfdb_iso': '22491.l', 'p': 19, 'prec': 20, 'unit': 512912638989768772335869, 'val': 1}
  • id: 1059698
    {'lmfdb_iso': '22491.l', 'p': 23, 'prec': 20, 'unit': 67195323954434313957698427, 'val': 1}
  • id: 1059691
    {'lmfdb_iso': '22491.l', 'p': 29, 'prec': 20, 'unit': 5211295471698162749052130812, 'val': 1}
  • id: 1059687
    {'lmfdb_iso': '22491.l', 'p': 37, 'prec': 20, 'unit': 587586284901666080550295769848, 'val': 1}
  • id: 1059689
    {'lmfdb_iso': '22491.l', 'p': 41, 'prec': 20, 'unit': 288128880620682770643414918741, 'val': 1}
  • id: 1059690
    {'lmfdb_iso': '22491.l', 'p': 43, 'prec': 20, 'unit': 8060417207615740593811981616345, 'val': 1}
  • id: 1059700
    {'lmfdb_iso': '22491.l', 'p': 47, 'prec': 20, 'unit': 25361341999019970117709624951855, 'val': 1}
  • id: 1059696
    {'lmfdb_iso': '22491.l', 'p': 53, 'prec': 20, 'unit': 47188735147766566672777348290021, 'val': 1}
  • id: 1059694
    {'lmfdb_iso': '22491.l', 'p': 59, 'prec': 20, 'unit': 4310894556632895586572334214143319, 'val': 1}
  • id: 1059701
    {'lmfdb_iso': '22491.l', 'p': 61, 'prec': 20, 'unit': 6171204399135073518774198942411736, 'val': 1}
  • id: 1059686
    {'lmfdb_iso': '22491.l', 'p': 67, 'prec': 20, 'unit': 32077015747547530643684442140713315, 'val': 1}
  • id: 1059688
    {'lmfdb_iso': '22491.l', 'p': 71, 'prec': 20, 'unit': 146047986461913706048065296290676029, 'val': 1}
  • id: 1059697
    {'lmfdb_iso': '22491.l', 'p': 73, 'prec': 20, 'unit': 183873963903067700106569525940727647, 'val': 1}
  • id: 1059692
    {'lmfdb_iso': '22491.l', 'p': 79, 'prec': 20, 'unit': 255987582295509416117724539914820210, 'val': 1}
  • id: 1059685
    {'lmfdb_iso': '22491.l', 'p': 83, 'prec': 20, 'unit': 613279614211305453823626061058617901, 'val': 1}
  • id: 1059699
    {'lmfdb_iso': '22491.l', 'p': 89, 'prec': 20, 'unit': 6356781433306304017387618070024510340, 'val': 1}
  • id: 1059684
    {'lmfdb_iso': '22491.l', 'p': 97, 'prec': 20, 'unit': 49683030244529568005154746704365959691, 'val': 1}