Elliptic curve data - 146523.y2

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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
  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': '146523s', 'Clabel': '146523s4', 'Cnumber': 4, 'abc_quality': 0.9639015803583432, 'absD': 10789618024276259223855969, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1768, 'ainvs': [1, 0, 1, -67841167, -145885371955], 'analytic_rank': 0, 'bad_primes': [3, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 146523, 'degree': 24772608, 'elladic_images': ['8.48.0.111'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5076637057417816273047893844', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4], 'jinv': [296380748763217, 92608836489], 'lmfdb_iso': '146523.y', 'lmfdb_label': '146523.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1389, -14094], 'min_quad_twist_disc': 221, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.d.2.14', '52.24.0.c.1', '68.24.0-4.b.1.2', '104.96.0.?', '136.96.0.?', '884.48.0.?', '1768.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 48841], [3, 4, 48841], [13, 98, 867], [17, 162, 507]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80858235498290521915327835468', 'prec': 103}, 'szpiro_ratio': 5.524336820359142, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 1, -1, -2, 1, 0, -3, 1, -2, 4, -1, 0, 0, -2, -1, 0, 1, 4, 2], 'aplist': [1, 1, -2, 0, 4, 0, 0, 4, 0, 2, -8, -2, 2, -4, -8, -10, -4, -14, 4, 0, -14, 8, 4, 6, -6], 'class_deg': 8, 'class_size': 6, 'conductor': 146523, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '146523.y', 'trace_hash': 1140591548021187017}
• 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': '0.00089801174428109983461221583453', 'prec': 113}, 'conductor': 146523, 'gens': [], 'heights': [], 'lmfdb_label': '146523.y2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.053893940532936840902591168793', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7246060970539789088829174013694770062', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-2339, 1169, 1], [9153, -4577, 1]], 'xcoord_integral_points': [-2339, 9153]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 2], '3': [1, 0], '13': 'a', '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '146523.y2'}
• ec_torsion_growth •

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

  
  
  • id: 6606031
    {'degree': 2, 'field': [221, 0, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 4]}
  • id: 6606032
    {'degree': 4, 'field': [1, 0, -15, 0, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 4]}
  • id: 6606033
    {'degree': 4, 'field': [1, 0, 15, 0, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 4]}
  • id: 6606038
    {'degree': 8, 'field': [-18243, -26928, -2961, 16721, 10657, 866, 151, -1, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 6]}
  • id: 6606035
    {'degree': 8, 'field': [-212, 932, -862, -124, 23, 44, -10, -4, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 8]}
  • id: 6606037
    {'degree': 8, 'field': [342, -444, 866, -804, 303, 116, -34, -4, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 8]}
  • id: 6606036
    {'degree': 8, 'field': [1377, 612, -60, -1060, 421, 128, -38, -4, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 8]}
  • id: 6606034
    {'degree': 8, 'field': [3137, 334, -220, -226, 109, 2, 4, -4, 1], 'lmfdb_label': '146523.y2', 'torsion': [4, 4]}
  • id: 6606040
    {'degree': 16, 'field': [247009, 0, -287216, 0, 180106, 0, -46128, 0, 16923, 0, -3888, 0, 478, 0, -32, 0, 1], 'lmfdb_label': '146523.y2', 'torsion': [4, 8]}
  • id: 6606041
    {'degree': 16, 'field': [983025, -909840, 1376974, -1015980, 704144, -211904, 29666, 37708, -10323, -2864, 3710, -1316, -84, 112, 4, -8, 1], 'lmfdb_label': '146523.y2', 'torsion': [4, 8]}
  • id: 6606039
    {'degree': 16, 'field': [1127844, 0, -974808, 0, 261544, 0, -45036, 0, 13613, 0, 4176, 0, 602, 0, 36, 0, 1], 'lmfdb_label': '146523.y2', 'torsion': [4, 8]}
  • id: 6606042
    {'degree': 16, 'field': [298571537889, 0, 93267467415, 0, 11054786121, 0, 796499388, 0, 34500042, 0, 940455, 0, 16759, 0, 187, 0, 1], 'lmfdb_label': '146523.y2', 'torsion': [2, 12]}
• 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: 3624038
    {'conductor': 146523, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '146523.y2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 3624039
    {'conductor': 146523, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '146523.y2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3624040
    {'conductor': 146523, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '146523.y2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2615642
    {'adelic_gens': [[5, 4, 1764, 1765], [129, 1766, 426, 5], [1, 0, 8, 1], [1, 8, 0, 1], [1761, 8, 1760, 9], [7, 448, 1762, 1321], [889, 444, 464, 893], [1663, 1764, 0, 1767]], 'adelic_image': '1768.192.1.?', 'conductor': 146523, 'lmfdb_label': '146523.y2', 'prime': 0}
  • id: 564159
    {'conductor': 146523, 'elladic_image': '8.48.0.111', 'lmfdb_label': '146523.y2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 146523.y does not appear in ec_padic