Elliptic curve data - 3520.e1

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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': '3520bb', 'Clabel': '3520bb2', 'Cnumber': 2, 'abc_quality': 0.8175916232802823, 'absD': 2478080, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -41, 55], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3520, 'degree': 768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.069197473819662736990896751340', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [1906624, 605], 'lmfdb_iso': '3520.e', 'lmfdb_label': '3520.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10, -12], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.b.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0867463666817550950536812035', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 704], [11, 12, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76234465437960804640812887280', 'prec': 107}, 'szpiro_ratio': 2.789371492785788, '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, -2, 0, -1, 0, 4, 0, 1, 0, 1, 0, -4, 0, 2, 0, 4, 0, -4, 0], 'aplist': [0, -2, -1, 4, 1, -4, 4, -4, -6, 10, -4, -2, -10, -8, 6, -2, -4, 10, -2, 0, 12, -8, 0, -10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 3520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3520.e', 'trace_hash': 161622129357795151}
• 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': '1.1484290300522521181708463713', 'prec': 100}, 'conductor': 3520, 'gens': [[1, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0867463666817550950536812035', 'prec': 100}], 'lmfdb_label': '3520.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.3801555932087769919675558365', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5866254430568958780157532251027951652', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[5, 0, 1]], 'xcoord_integral_points': [-6, 1, 5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [3, 0], '11': [2, 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]}, 'iwp0': 0, 'lmfdb_label': '3520.e1'}
• ec_torsion_growth •

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

  
  
  • id: 183267
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3520.e1', 'torsion': [2, 2]}
  • id: 183268
    {'degree': 4, 'field': [5, 0, -8, 0, 1], 'lmfdb_label': '3520.e1', 'torsion': [4]}
  • id: 183271
    {'degree': 8, 'field': [-7203, 0, -2656, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '3520.e1', 'torsion': [6]}
  • id: 183270
    {'degree': 8, 'field': [81, 0, -180, 0, 107, 0, -20, 0, 1], 'lmfdb_label': '3520.e1', 'torsion': [2, 4]}
  • id: 183269
    {'degree': 8, 'field': [121, 0, 198, 0, -21, 0, 12, 0, 1], 'lmfdb_label': '3520.e1', 'torsion': [2, 4]}
  • id: 183273
    {'degree': 16, 'field': [-3379, 35848, -27320, 5000, -49870, 35064, 24652, -31120, 7475, 680, -708, 416, -130, 0, 20, -8, 1], 'lmfdb_label': '3520.e1', 'torsion': [2, 6]}
  • id: 183272
    {'degree': 16, 'field': [48400, 0, 0, 0, -15840, 0, -42240, 0, 29016, 0, -7936, 0, 1096, 0, -64, 0, 1], 'lmfdb_label': '3520.e1', 'torsion': [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: 64461
    {'conductor': 3520, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '3520.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 64462
    {'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3520.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 64463
    {'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3520.e1', 'prime': 11, '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: 1686814
    {'adelic_gens': [[134, 1, 43, 0], [1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [169, 56, 164, 55], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 3520, 'lmfdb_label': '3520.e1', 'prime': 0}
  • id: 17516
    {'conductor': 3520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3520.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 118625
    {'lmfdb_iso': '3520.e', 'p': 7, 'prec': 20, 'unit': 484033945136685, 'val': 2}
  • id: 118629
    {'lmfdb_iso': '3520.e', 'p': 13, 'prec': 20, 'unit': 506195958026484531833, 'val': 1}
  • id: 118631
    {'lmfdb_iso': '3520.e', 'p': 17, 'prec': 20, 'unit': 1800103609266971429075, 'val': 1}
  • id: 118632
    {'lmfdb_iso': '3520.e', 'p': 19, 'prec': 20, 'unit': 1394275589997955419061179, 'val': 1}
  • id: 118636
    {'lmfdb_iso': '3520.e', 'p': 23, 'prec': 20, 'unit': 58071670153551857286778627, 'val': 1}
  • id: 118628
    {'lmfdb_iso': '3520.e', 'p': 29, 'prec': 20, 'unit': 4467479764069352627153150503, 'val': 1}
  • id: 118640
    {'lmfdb_iso': '3520.e', 'p': 31, 'prec': 20, 'unit': 17353381664338952801974333292, 'val': 1}
  • id: 118624
    {'lmfdb_iso': '3520.e', 'p': 37, 'prec': 20, 'unit': 211798843260468564851270680728, 'val': 1}
  • id: 118626
    {'lmfdb_iso': '3520.e', 'p': 41, 'prec': 20, 'unit': 2877387642019677231322928209811, 'val': 1}
  • id: 118627
    {'lmfdb_iso': '3520.e', 'p': 43, 'prec': 20, 'unit': 6358632049736817234670122687938, 'val': 1}
  • id: 118638
    {'lmfdb_iso': '3520.e', 'p': 47, 'prec': 20, 'unit': 45325996104723192717408741647642, 'val': 1}
  • id: 118633
    {'lmfdb_iso': '3520.e', 'p': 53, 'prec': 20, 'unit': 372305013576262479197972164709330, 'val': 1}
  • id: 118634
    {'lmfdb_iso': '3520.e', 'p': 59, 'prec': 20, 'unit': 2770228643170311182584567302598837, 'val': 1}
  • id: 118639
    {'lmfdb_iso': '3520.e', 'p': 61, 'prec': 20, 'unit': 7212263027470118256443600161098497, 'val': 1}
  • id: 118623
    {'lmfdb_iso': '3520.e', 'p': 67, 'prec': 20, 'unit': 20960362231757275669701354062535641, 'val': 1}
  • id: 118635
    {'lmfdb_iso': '3520.e', 'p': 73, 'prec': 20, 'unit': 245187565579398784596818393081639323, 'val': 1}
  • id: 118630
    {'lmfdb_iso': '3520.e', 'p': 79, 'prec': 20, 'unit': 955960662929206648179224148001089032, 'val': 1}
  • id: 118637
    {'lmfdb_iso': '3520.e', 'p': 89, 'prec': 20, 'unit': 2128361615853038556231316443717302698, 'val': 1}
  • id: 118622
    {'lmfdb_iso': '3520.e', 'p': 97, 'prec': 20, 'unit': 13071873972813041456226338231948235756, 'val': 1}