Elliptic curve data - 35550.j1

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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': '35550t', 'Clabel': '35550t1', 'Cnumber': 1, 'abc_quality': 0.9801992985830142, 'absD': 1490842091520000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, -1, 0, -247167, 47395341], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 35550, 'degree': 259920, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8363619199404980785687187859', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [-3665123505412225, 3272081408], 'lmfdb_iso': '35550.j', 'lmfdb_label': '35550.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -27463, -1755383], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4101008832495476584160499586', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 6, 3950], [5, 14, 1422], [19, 2, 17775], [79, 80, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75057647146174310800417638970', 'prec': 103}, 'szpiro_ratio': 4.663615391377397, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 1, 0, 0, -2, -1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, -1, 0], 'aplist': [-1, 0, 0, -2, 1, 2, 1, -1, 6, 6, -2, -10, -7, 8, -8, 12, 4, -10, -11, 6, 11, -1, -9, -15, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 35550, 'isogeny_matrix': [[1]], 'lmfdb_iso': '35550.j', 'trace_hash': 1737566664001153450}
• 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': '0.025407170544896503749348484663', 'prec': 107}, 'conductor': 35550, 'gens': [[289, 53, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4101008832495476584160499586', 'prec': 100}], 'lmfdb_label': '35550.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47466552884454492797512119804', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0159576888308386635491720592884584640', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-521, 289]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '79': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35550.j1'}
• ec_torsion_growth •

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

  
  
  • id: 1765958
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '35550.j1', 'torsion': [2]}
  • id: 1765959
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '35550.j1', 'torsion': [2, 2]}
  • id: 1765960
    {'degree': 8, 'field': [-2700, 0, -2328, 0, 192, 0, -21, 0, 1], 'lmfdb_label': '35550.j1', 'torsion': [3]}
  • id: 1765961
    {'degree': 12, 'field': [1251232, 1391824, 271706, -39006, 65255, 1512, -18072, -882, 1365, -52, -8, -6, 1], 'lmfdb_label': '35550.j1', 'torsion': [4]}
• 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: 837274
    {'conductor': 35550, 'conductor_valuation': 1, 'discriminant_valuation': 19, 'j_denominator_valuation': 19, 'kodaira_symbol': 23, 'lmfdb_label': '35550.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 837275
    {'conductor': 35550, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35550.j1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 837276
    {'conductor': 35550, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '35550.j1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 837277
    {'conductor': 35550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35550.j1', 'prime': 79, 'reduction_type': -1, '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: 1901907
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 35550, 'lmfdb_label': '35550.j1', 'prime': 0}
  • id: 158088
    {'conductor': 35550, 'elladic_image': '8.2.0.1', 'lmfdb_label': '35550.j1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1745820
    {'lmfdb_iso': '35550.j', 'p': 7, 'prec': 20, 'unit': 1407880355239578, 'val': 2}
  • id: 1745818
    {'lmfdb_iso': '35550.j', 'p': 11, 'prec': 20, 'unit': 89269909153545477091, 'val': -1}
  • id: 1745824
    {'lmfdb_iso': '35550.j', 'p': 13, 'prec': 20, 'unit': 708934739418048447274, 'val': 1}
  • id: 1745826
    {'lmfdb_iso': '35550.j', 'p': 17, 'prec': 20, 'unit': 2643823386529597016090849, 'val': -1}
  • id: 1745827
    {'lmfdb_iso': '35550.j', 'p': 19, 'prec': 20, 'unit': 565450086140080248096696, 'val': 1}
  • id: 1745830
    {'lmfdb_iso': '35550.j', 'p': 23, 'prec': 20, 'unit': 2920599837248392312450004, 'val': 1}
  • id: 1745823
    {'lmfdb_iso': '35550.j', 'p': 29, 'prec': 20, 'unit': 1525804683194127986755938923, 'val': 1}
  • id: 1745836
    {'lmfdb_iso': '35550.j', 'p': 31, 'prec': 20, 'unit': 5552661674344920434187411793, 'val': 1}
  • id: 1745819
    {'lmfdb_iso': '35550.j', 'p': 37, 'prec': 20, 'unit': 8937552392179213446943973950, 'val': 1}
  • id: 1745821
    {'lmfdb_iso': '35550.j', 'p': 41, 'prec': 20, 'unit': 702262097141697218061159529248, 'val': 1}
  • id: 1745822
    {'lmfdb_iso': '35550.j', 'p': 43, 'prec': 20, 'unit': 6094405698048957788486121005959, 'val': 1}
  • id: 1745825
    {'lmfdb_iso': '35550.j', 'p': 47, 'prec': 20, 'unit': 20918289801691267990227093067486, 'val': 1}
  • id: 1745828
    {'lmfdb_iso': '35550.j', 'p': 53, 'prec': 20, 'unit': 184195772014013569455582003321819, 'val': 1}
  • id: 1745833
    {'lmfdb_iso': '35550.j', 'p': 59, 'prec': 20, 'unit': 3960353778258149020708341960178666, 'val': 1}
  • id: 1745834
    {'lmfdb_iso': '35550.j', 'p': 61, 'prec': 20, 'unit': 1548350931358402071105318528755593, 'val': 1}
  • id: 1745817
    {'lmfdb_iso': '35550.j', 'p': 67, 'prec': 20, 'unit': 39469642097435989661259801623047048, 'val': 1}
  • id: 1745832
    {'lmfdb_iso': '35550.j', 'p': 71, 'prec': 20, 'unit': 16290664549227612927026305559374323, 'val': 1}
  • id: 1745829
    {'lmfdb_iso': '35550.j', 'p': 73, 'prec': 20, 'unit': 102047593717752283221477888398445607, 'val': 1}
  • id: 1745835
    {'lmfdb_iso': '35550.j', 'p': 83, 'prec': 20, 'unit': 1336493172710072206788811926162885258, 'val': 1}
  • id: 1745831
    {'lmfdb_iso': '35550.j', 'p': 89, 'prec': 20, 'unit': 278727148957190600034956292197134405, 'val': 1}
  • id: 1745816
    {'lmfdb_iso': '35550.j', 'p': 97, 'prec': 20, 'unit': 21673665154327517974445101009666075734, 'val': 1}