Elliptic curve data - 355488.s1

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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': '355488s', 'Clabel': '355488s2', 'Cnumber': 2, 'abc_quality': 1.024614455038471, 'absD': 38200365084672, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, -1, 0, -17633, -844911], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 355488, 'degree': 760320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3572036978498066030827269477', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [1000000, 63], 'lmfdb_iso': '355488.s', 'lmfdb_label': '355488.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -33, 81], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3337149744158427623067410753', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90369059067471355173788158966', 'prec': 107}, 'szpiro_ratio': 3.203618766577438, '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, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, -2, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, -1, 0, 1, 2, -2, -4, 4, 0, -2, 0, 6, 8, 8, -4, 6, 0, 14, -4, -2, -2, -4, -12, 0, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 355488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '355488.s', 'trace_hash': 1633651473585125682}
• 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': '0.066244197974151752219656471178', 'prec': 107}, 'conductor': 355488, 'gens': [[181, 1364, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3337149744158427623067410753', 'prec': 100}], 'lmfdb_label': '355488.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41593673419858943976427032049', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2102050136241969011147019532646487081', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-61, 0, 1]], 'xcoord_integral_points': [-61, 181]}
• lmfdb_label 355488.s1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14818004
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '355488.s1', 'torsion': [2, 2]}
  • id: 14818005
    {'degree': 4, 'field': [3703, 0, -115, 0, 1], 'lmfdb_label': '355488.s1', 'torsion': [4]}
  • id: 14818008
    {'degree': 8, 'field': [-29846110, -2533412, -1339660, -135080, -20716, -1904, -14, -4, 1], 'lmfdb_label': '355488.s1', 'torsion': [6]}
  • id: 14818007
    {'degree': 8, 'field': [40068, 72240, -4480, 4648, 484, 24, -148, -4, 1], 'lmfdb_label': '355488.s1', 'torsion': [2, 4]}
  • id: 14818006
    {'degree': 8, 'field': [49284, 45288, 51384, -9864, 1750, 320, -40, -2, 1], 'lmfdb_label': '355488.s1', 'torsion': [2, 4]}
  • id: 14818010
    {'degree': 16, 'field': [-741226976364, -2300057440128, -1008900480896, 178028184208, -81068516648, 3996741448, -767744816, -168764912, -13177204, -5201728, -1368688, 15856, -17576, 28, 16, -8, 1], 'lmfdb_label': '355488.s1', 'torsion': [2, 6]}
  • id: 14818009
    {'degree': 16, 'field': [9953954608, -18610362048, 13976466208, -2820146304, 713509216, 378883776, -14546144, 32552448, 4657276, 845184, 408304, 1248, 11896, -120, 172, 0, 1], 'lmfdb_label': '355488.s1', 'torsion': [8]}
• 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: 8800049
    {'conductor': 355488, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '355488.s1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8800050
    {'conductor': 355488, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '355488.s1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8800051
    {'conductor': 355488, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '355488.s1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8800052
    {'conductor': 355488, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '355488.s1', '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: 3881961
    {'adelic_gens': [[64, 25, 21, 64], [62, 1, 11, 0], [1, 4, 0, 1], [29, 4, 58, 9], [1, 0, 4, 1], [81, 4, 80, 5], [3, 4, 8, 11], [1, 2, 2, 5]], 'adelic_image': '84.12.0.?', 'conductor': 355488, 'lmfdb_label': '355488.s1', 'prime': 0}
  • id: 1227764
    {'conductor': 355488, 'elladic_image': '2.3.0.1', 'lmfdb_label': '355488.s1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 355488.s does not appear in ec_padic