Elliptic curve data - 91091.s3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '91091f', 'Clabel': '91091f1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 6246561772451, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 50050, 'ainvs': [0, 1, 1, -2760, -133493], 'analytic_rank': 0, 'bad_primes': [7, 11, 13], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 91091, 'degree': 155520, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1427009559229717685900261644', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '91091.s', 'lmfdb_label': '91091.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': -91, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '110.24.1.?', '275.300.12.?', '455.24.0.?', '550.600.37.?', '2275.120.0.?', '10010.48.1.?', '25025.600.12.?', '50050.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 26, 1859], [11, 12, 8281], [13, 86, 539]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 3.2499274626848296, '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, 2, 1, 2, 1, 2, 0, 0, -2, 2, -1, 2, 0, 0, 1, -4, 2, -4, 0, 2], 'aplist': [2, 1, 1, 0, -1, 0, 2, 0, -1, 0, 7, -3, -8, -6, 8, -6, 5, -12, 7, 3, 4, -10, -6, 15, -7], 'class_deg': 25, 'class_size': 3, 'conductor': 91091, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '91091.s', 'trace_hash': 1367254378167536447}
• 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': '0.10173316612395380866527509406', 'prec': 103}, 'conductor': 91091, 'gens': [], 'heights': [], 'lmfdb_label': '91091.s3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30585106781891833990203797675', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8936170851026934384326076280376581707', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 7, 0], '3': [2, 0], '5': [2, 0], '7': 'a', '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '91091.s3'}
• ec_torsion_growth •

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

  
  
  • id: 4253237
    {'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '91091.s3', 'torsion': [5]}
  • id: 4253238
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '91091.s3', 'torsion': [2]}
  • id: 4253239
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '91091.s3', 'torsion': [2, 2]}
  • id: 4253240
    {'degree': 6, 'field': [11111, -349, 1566, -49, 70, -1, 1], 'lmfdb_label': '91091.s3', 'torsion': [10]}
  • id: 4253241
    {'degree': 8, 'field': [-1073869, -364276, -202747, 11871, -3309, 210, -2, -2, 1], 'lmfdb_label': '91091.s3', 'torsion': [3]}
  • id: 4253242
    {'degree': 10, 'field': [8914201, -911909, 1619869, -142113, 124700, -8780, 5070, -256, 109, -3, 1], 'lmfdb_label': '91091.s3', 'torsion': [25]}
  • id: 4253243
    {'degree': 12, 'field': [-23963676266, 1268719560, 868930068, 121466316, 63131404, 2048924, 594420, 53740, -13350, 178, 6, -2, 1], 'lmfdb_label': '91091.s3', 'torsion': [4]}
  • id: 4253244
    {'degree': 12, 'field': [125228492, -26268716, 37099492, -5790856, 4366606, -505722, 264033, -21892, 8677, -470, 147, -4, 1], 'lmfdb_label': '91091.s3', 'torsion': [2, 10]}
  • id: 4253245
    {'degree': 16, 'field': [72513334089, 0, 25152653232, 0, 3857207736, 0, 339572485, 0, 18706184, 0, 659131, 0, 14497, 0, 182, 0, 1], 'lmfdb_label': '91091.s3', 'torsion': [15]}
  • id: 4253246
    {'degree': 20, 'field': [159551406436304255, -12238943880474995, -31004744638639335, 1567797254230125, 2749586789557816, -81145128257457, -144573130644990, 1988183456700, 4951324493175, -12819274896, -114942929138, -564317875, 1825268195, 16802800, -19551033, -205999, 135420, 1240, -550, -3, 1], 'lmfdb_label': '91091.s3', 'torsion': [5]}
• 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: 2227380
    {'conductor': 91091, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '91091.s3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2227381
    {'conductor': 91091, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '91091.s3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2227382
    {'conductor': 91091, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '91091.s3', 'prime': 13, '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: 2263557
    {'adelic_gens': [[1, 0, 50, 1], [35491, 20930, 25935, 23661], [19566, 13195, 36127, 36037], [23099, 0, 0, 50049], [1, 50, 0, 1], [28599, 0, 0, 50049], [38, 41, 47491, 47289], [50001, 50, 50000, 51]], 'adelic_image': '50050.1200.37.?', 'conductor': 91091, 'lmfdb_label': '91091.s3', 'prime': 0}
  • id: 369236
    {'conductor': 91091, 'elladic_image': '25.60.0.1', 'lmfdb_label': '91091.s3', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 91091.s does not appear in ec_padic