Elliptic curve data - 147600.d1

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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': '147600bb', 'Clabel': '147600bb3', 'Cnumber': 3, 'abc_quality': 0.988826521190976, 'absD': 7235050896000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2460, 'ainvs': [0, 0, 0, -45921675, -119707415750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 41], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 147600, 'degree': 15925248, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1325579997563805230175331837', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [229545811016693569, 155072250000], 'lmfdb_iso': '147600.d', 'lmfdb_label': '147600.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12756, -555264], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.11', '20.6.0.b.1', '60.48.0-60.p.1.9', '82.6.0.?', '246.24.0.?', '492.48.0.?', '820.12.0.?', '2460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9225], [3, 8, 400], [5, 18, 5904], [41, 42, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0853857186453301806022987772', 'prec': 100}, 'szpiro_ratio': 5.422578563314935, '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, 0, 0, 0, 0, -4, 0, 0, 0, -6, 0, 4, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, 0, -4, -6, 4, 0, -2, 0, 6, 4, -2, 1, -4, 0, 12, 0, 2, 8, -6, -2, 10, 12, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 147600, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '147600.d', 'trace_hash': 73837978394848095}
• 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': '0.0019014928334182074816046496899', 'prec': 110}, 'conductor': 147600, 'gens': [], 'heights': [], 'lmfdb_label': '147600.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.057997962336207943188829714867', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3919510960689906365319131568106631300', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-3835, 0, 1]], 'xcoord_integral_points': [-3835]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '41': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '147600.d1'}
• ec_torsion_growth •

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

  
  
  • id: 6646701
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '147600.d1', 'torsion': [2, 2]}
  • id: 6646702
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '147600.d1', 'torsion': [6]}
  • id: 6646703
    {'degree': 4, 'field': [69, -6, 22, -2, 1], 'lmfdb_label': '147600.d1', 'torsion': [12]}
  • id: 6646704
    {'degree': 4, 'field': [230, 10, -9, -2, 1], 'lmfdb_label': '147600.d1', 'torsion': [2, 6]}
  • id: 6646705
    {'degree': 6, 'field': [-1500, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '147600.d1', 'torsion': [6]}
  • id: 6646706
    {'degree': 8, 'field': [100, 0, -2025, 0, -514, 0, -18, 0, 1], 'lmfdb_label': '147600.d1', 'torsion': [2, 4]}
  • id: 6646707
    {'degree': 8, 'field': [7636, 12632, 7036, 1772, 165, -92, 1, -2, 1], 'lmfdb_label': '147600.d1', 'torsion': [2, 12]}
  • id: 6646709
    {'degree': 12, 'field': [-1191500, 5559000, -5872500, 650000, -381000, 63060, -14299, -5406, 915, 280, -45, -6, 1], 'lmfdb_label': '147600.d1', 'torsion': [2, 6]}
  • id: 6646708
    {'degree': 12, 'field': [12769, 0, 27750, 0, 7575, 0, 2524, 0, 375, 0, 30, 0, 1], 'lmfdb_label': '147600.d1', 'torsion': [3, 6]}
  • id: 6646710
    {'degree': 16, 'field': [164025, 340200, 713700, 605700, 573960, 220560, 186460, 4980, -10794, -20056, 8572, 652, 520, -32, -28, -4, 1], 'lmfdb_label': '147600.d1', 'torsion': [24]}
  • id: 6646711
    {'degree': 16, 'field': [1138000, 869000, -382850, -893650, 273005, 149420, 35154, -46840, -17902, 15466, 858, -1760, -10, 112, 4, -8, 1], 'lmfdb_label': '147600.d1', 'torsion': [2, 12]}
  • id: 6646712
    {'degree': 18, 'field': [30823943660525, -19560195982800, 2955632144850, 1889561870490, -605479709520, -37714818420, 46169062671, -560573730, -1569156156, 144141240, 65436525, 2948310, 149700, 169740, 19665, -1230, -261, 0, 1], 'lmfdb_label': '147600.d1', 'torsion': [18]}
• 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: 3649207
    {'conductor': 147600, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '147600.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3649208
    {'conductor': 147600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '147600.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3649209
    {'conductor': 147600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '147600.d1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3649210
    {'conductor': 147600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '147600.d1', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2621978
    {'adelic_gens': [[201, 1022, 1414, 2239], [2110, 3, 453, 2452], [2449, 12, 2448, 13], [1, 0, 12, 1], [983, 2448, 978, 2387], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 2410, 2451], [1639, 2448, 1640, 2459]], 'adelic_image': '2460.96.1.?', 'conductor': 147600, 'lmfdb_label': '147600.d1', 'prime': 0}
  • id: 567461
    {'conductor': 147600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '147600.d1', 'modell_image': '2B', 'prime': 2}
  • id: 567462
    {'conductor': 147600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '147600.d1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 147600.d does not appear in ec_padic