Elliptic curve data - 35280.fr2

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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': '35280ck', 'Clabel': '35280ck2', 'Cnumber': 2, 'abc_quality': 1.0917548251330267, 'absD': 548903174400, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 0, 0, -3087, 55566], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35280, 'degree': 36864, 'elladic_images': ['8.24.0.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97347384658554893080320299324', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 147, 'isogeny_degrees': [1, 2], 'jinv': [148176, 25], 'lmfdb_iso': '35280.fr', 'lmfdb_label': '35280.fr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, -6], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.g.1', '20.24.0.b.1', '40.96.3.bk.1', '84.24.0.?', '168.48.0.?', '420.48.0.?', '840.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0108854926494594403919174112', 'prec': 103}, 'szpiro_ratio': 3.411156926175775, '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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 1, 0, 4, 2, 2, 4, 4, 2, -8, 6, -6, 8, -4, -6, 4, 2, -8, 0, 6, 0, 16, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 35280, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35280.fr', 'trace_hash': 1153276756337352445}
• 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': '0.14270899913528678476858846518', 'prec': 103}, 'conductor': 35280, 'gens': [], 'heights': [], 'lmfdb_label': '35280.fr2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.88112273724171550328089994817', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5244909489668620131235997926770352329', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[21, 0, 1], [42, 0, 1]], 'xcoord_integral_points': [-63, 21, 42]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [5, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '35280.fr2'}
• ec_torsion_growth •

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

  
  
  • id: 1749444
    {'degree': 4, 'field': [16, 0, -13, 0, 1], 'lmfdb_label': '35280.fr2', 'torsion': [2, 4]}
  • id: 1749442
    {'degree': 4, 'field': [25, 0, 11, 0, 1], 'lmfdb_label': '35280.fr2', 'torsion': [2, 4]}
  • id: 1749443
    {'degree': 4, 'field': [505, -40, 41, -2, 1], 'lmfdb_label': '35280.fr2', 'torsion': [2, 4]}
  • id: 1749447
    {'degree': 8, 'field': [-2855, 2110, 640, 298, 94, 10, 16, -2, 1], 'lmfdb_label': '35280.fr2', 'torsion': [2, 6]}
  • id: 1749446
    {'degree': 8, 'field': [457, -538, 750, -450, 291, -82, 32, -4, 1], 'lmfdb_label': '35280.fr2', 'torsion': [2, 8]}
  • id: 1749445
    {'degree': 8, 'field': [1780, 700, -566, -254, 93, 38, -8, -4, 1], 'lmfdb_label': '35280.fr2', 'torsion': [4, 4]}
  • id: 1749449
    {'degree': 16, 'field': [-56759, 154676, 100262, -342456, -189956, 283336, 125118, -130264, -32767, 32944, 3298, -4488, 20, 308, -24, -8, 1], 'lmfdb_label': '35280.fr2', 'torsion': [2, 8]}
  • id: 1749450
    {'degree': 16, 'field': [748756, -49120, 714808, -16872, 431926, -113712, 224032, -82350, 70485, -22162, 11906, -2774, 1072, -166, 50, -4, 1], 'lmfdb_label': '35280.fr2', 'torsion': [4, 8]}
  • id: 1749448
    {'degree': 16, 'field': [2203525, -889300, 3728550, 860000, 2724435, 799740, 842250, 178960, 115926, 12120, 7284, -120, 326, -20, 24, 0, 1], 'lmfdb_label': '35280.fr2', 'torsion': [2, 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: 829274
    {'conductor': 35280, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35280.fr2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 829275
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35280.fr2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 829276
    {'conductor': 35280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35280.fr2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 829277
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35280.fr2', 'prime': 7, '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: 1899948
    {'adelic_gens': [[559, 0, 0, 839], [833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [799, 42, 294, 715], [599, 0, 0, 839], [419, 672, 0, 629], [505, 168, 588, 421]], 'adelic_image': '840.192.3.?', 'conductor': 35280, 'lmfdb_label': '35280.fr2', 'prime': 0}
  • id: 156826
    {'conductor': 35280, 'elladic_image': '8.24.0.35', 'lmfdb_label': '35280.fr2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 35280.fr does not appear in ec_padic