Elliptic curve data - 203280.fj4

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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': '203280bn', 'Clabel': '203280bn4', 'Cnumber': 4, 'abc_quality': 1.0150912911963035, 'absD': 48803858129241600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 1, 0, 9092384, -1266546316], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 203280, 'degree': 17694720, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0429007496758084289814395287', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 4], 'jinv': [11456208593737991, 6725709375000], 'lmfdb_iso': '203280.fj', 'lmfdb_label': '203280.fj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4697, -12947], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.v.1.6', '88.24.0.?', '132.12.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0442791563760854389491505031', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 67760], [5, 6, 40656], [7, 8, 29040], [11, 72, 1680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1508059327166778475332356183', 'prec': 100}, 'szpiro_ratio': 4.883062317206355, '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, -1, 0, 1, 0, 1, 0, 0, 0, 6, 0, -1, 0, -6, 0, 0, 0], 'aplist': [0, 1, -1, 1, 0, 6, -6, 0, 4, -2, 0, -2, 2, -8, -12, -6, -4, -2, 12, 4, 6, 8, 12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 203280, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '203280.fj', 'trace_hash': 253202504266914700}
• 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': '0.0022749402302279669332793875900', 'prec': 110}, 'conductor': 203280, 'gens': [[113491, 157552500, 13]], 'heights': [{'__RealLiteral__': 0, 'data': '9.0442791563760854389491505031', 'prec': 100}], 'lmfdb_label': '203280.fj4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.066395048965993585821419948867', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.6079257191952856353406659330733601603', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[139, 0, 1]], 'xcoord_integral_points': [139]}
• lmfdb_label 203280.fj4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8899934
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '203280.fj4', 'torsion': [4]}
  • id: 8899933
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [2, 2]}
  • id: 8899935
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [4]}
  • id: 8899937
    {'degree': 4, 'field': [-206, 170, -51, -1, 1], 'lmfdb_label': '203280.fj4', 'torsion': [8]}
  • id: 8899936
    {'degree': 4, 'field': [16, 0, 14, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [2, 4]}
  • id: 8899941
    {'degree': 8, 'field': [-907500, 0, 110825, 0, -3300, 0, 0, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [6]}
  • id: 8899939
    {'degree': 8, 'field': [36, 0, 0, 0, 76, 0, 0, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [8]}
  • id: 8899940
    {'degree': 8, 'field': [3844, 0, -350, 0, -159, 0, 28, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [2, 8]}
  • id: 8899938
    {'degree': 8, 'field': [78841, -31752, 27440, -2352, 750, -168, -16, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [2, 4]}
  • id: 8899943
    {'degree': 16, 'field': [961, 0, -2848, 0, 3416, 0, -840, 0, -178, 0, 0, 0, 56, 0, 8, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [2, 8]}
  • id: 8899946
    {'degree': 16, 'field': [589824, 0, -4537344, 0, 3605056, 0, -567168, 0, -69936, 0, 54649, 0, -984, 0, 0, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [12]}
  • id: 8899945
    {'degree': 16, 'field': [2928649689, 0, -295915572, 0, 121856220, 0, 17258724, 0, 831150, 0, -3804, 0, -1620, 0, 12, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [2, 6]}
  • id: 8899947
    {'degree': 16, 'field': [4121254809, 0, 436574124, 0, 38552220, 0, 1953988, 0, -278290, 0, 32068, 0, -20, 0, 44, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [12]}
  • id: 8899942
    {'degree': 16, 'field': [5535062404, -3899645568, 1373718528, 230325312, 107611780, -43925616, 9031680, -192192, 281013, -132216, 14112, -3024, 1258, -168, 0, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [4, 4]}
  • id: 8899944
    {'degree': 16, 'field': [4753725532416, 0, -5667145223040, 0, 1512467179272, 0, -5001754968, 0, -365890056, 0, 4712232, 0, -24276, 0, -42, 0, 1], 'lmfdb_label': '203280.fj4', 'torsion': [16]}
• 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: 5032086
    {'conductor': 203280, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '203280.fj4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5032087
    {'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '203280.fj4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5032088
    {'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '203280.fj4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5032089
    {'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '203280.fj4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5032090
    {'conductor': 203280, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '203280.fj4', 'prime': 11, '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: 2965552
    {'adelic_gens': [[1, 0, 8, 1], [232, 107, 169, 198], [1, 8, 0, 1], [7, 6, 258, 259], [1, 4, 4, 17], [257, 8, 256, 9], [119, 256, 212, 231], [92, 1, 199, 6], [29, 32, 142, 27]], 'adelic_image': '264.48.0.?', 'conductor': 203280, 'lmfdb_label': '203280.fj4', 'prime': 0}
  • id: 752334
    {'conductor': 203280, 'elladic_image': '8.12.0.6', 'lmfdb_label': '203280.fj4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 203280.fj does not appear in ec_padic