Elliptic curve data - 3520.c1

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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': '3520c', 'Clabel': '3520c2', 'Cnumber': 2, 'abc_quality': 0.8298641323760774, 'absD': 4505600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -241, 1359], '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': '0.14750003223518935156930691722', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [94875856, 275], 'lmfdb_iso': '3520.c', 'lmfdb_label': '3520.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -60, 200], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '44.6.0.a.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.45480683706913444009581935232', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 11], [5, 6, 704], [11, 12, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66117167841808017608413055781', 'prec': 107}, 'szpiro_ratio': 3.4375945261018828, '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, 0, 0, 1, 0, -1, 0, 0, 0, 2, 0, -4, 0, 4, 0], 'aplist': [0, -2, -1, 0, -1, 0, -4, 4, 6, -2, 0, 6, -10, -4, 10, -2, 4, 14, -2, 4, -4, -8, -12, 6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 3520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3520.c', 'trace_hash': 1790584396823299164}
• 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': '0.74453153946567750405311367873', 'prec': 103}, 'conductor': 3520, 'gens': [[7, 8, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.45480683706913444009581935232', 'prec': 103}], 'lmfdb_label': '3520.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.4582282008623929005971602612', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2360379856567476353324495077418716516', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[9, 0, 1]], 'xcoord_integral_points': [-1, 7, 9, 10, 29]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [3, 1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3520.c1'}
• ec_torsion_growth •

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

  
  
  • id: 182701
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '3520.c1', 'torsion': [2, 2]}
  • id: 182702
    {'degree': 4, 'field': [44, 0, -14, 0, 1], 'lmfdb_label': '3520.c1', 'torsion': [4]}
  • id: 182705
    {'degree': 8, 'field': [-108, 0, 126, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '3520.c1', 'torsion': [6]}
  • id: 182704
    {'degree': 8, 'field': [81, 0, -180, 0, 107, 0, -20, 0, 1], 'lmfdb_label': '3520.c1', 'torsion': [2, 4]}
  • id: 182703
    {'degree': 8, 'field': [1400, 1840, 808, 176, 104, 0, 12, -4, 1], 'lmfdb_label': '3520.c1', 'torsion': [2, 4]}
  • id: 182706
    {'degree': 16, 'field': [-60659, 41684, 189924, -196116, -109334, 205012, -41224, -49068, 20102, 5668, -3684, -252, 286, 36, -16, -4, 1], 'lmfdb_label': '3520.c1', 'torsion': [8]}
  • id: 182707
    {'degree': 16, 'field': [848241, 0, 2877048, 0, 2969884, 0, 497064, 0, -56394, 0, 1064, 0, 1164, 0, -72, 0, 1], 'lmfdb_label': '3520.c1', 'torsion': [2, 6]}
• 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: 64287
    {'conductor': 3520, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '3520.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 64288
    {'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3520.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 64289
    {'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3520.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1686808
    {'adelic_gens': [[1, 2, 2, 5], [202, 1, 119, 0], [217, 4, 216, 5], [56, 169, 165, 56], [3, 4, 8, 11], [177, 4, 134, 9], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 3520, 'lmfdb_label': '3520.c1', 'prime': 0}
  • id: 17506
    {'conductor': 3520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3520.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 118471
    {'lmfdb_iso': '3520.c', 'p': 17, 'prec': 20, 'unit': 32892757652349436430907, 'val': 1}
  • id: 118462
    {'lmfdb_iso': '3520.c', 'p': 19, 'prec': 20, 'unit': 538707778265610087639970, 'val': 1}
  • id: 118476
    {'lmfdb_iso': '3520.c', 'p': 23, 'prec': 20, 'unit': 31068542800461261941551412, 'val': 1}
  • id: 118469
    {'lmfdb_iso': '3520.c', 'p': 29, 'prec': 20, 'unit': 273488854732873474088656744, 'val': 1}
  • id: 118465
    {'lmfdb_iso': '3520.c', 'p': 37, 'prec': 20, 'unit': 538545550934177944552389542553, 'val': 1}
  • id: 118467
    {'lmfdb_iso': '3520.c', 'p': 41, 'prec': 20, 'unit': 1536655342634047497624387961140, 'val': 1}
  • id: 118468
    {'lmfdb_iso': '3520.c', 'p': 43, 'prec': 20, 'unit': 6215065088801359846290982471055, 'val': 1}
  • id: 118478
    {'lmfdb_iso': '3520.c', 'p': 47, 'prec': 20, 'unit': 20512966679664069781302826738157, 'val': 1}
  • id: 118473
    {'lmfdb_iso': '3520.c', 'p': 53, 'prec': 20, 'unit': 165794358936384512649060949895121, 'val': 1}
  • id: 118474
    {'lmfdb_iso': '3520.c', 'p': 59, 'prec': 20, 'unit': 1883079020557230341791960213812836, 'val': 1}
  • id: 118479
    {'lmfdb_iso': '3520.c', 'p': 61, 'prec': 20, 'unit': 464519552264219805116734296668878, 'val': 1}
  • id: 118464
    {'lmfdb_iso': '3520.c', 'p': 67, 'prec': 20, 'unit': 41741978859471526895912916734143962, 'val': 1}
  • id: 118466
    {'lmfdb_iso': '3520.c', 'p': 71, 'prec': 20, 'unit': 100876488678071888313286367806243471, 'val': 1}
  • id: 118475
    {'lmfdb_iso': '3520.c', 'p': 73, 'prec': 20, 'unit': 92591075694379107701858405369086505, 'val': 1}
  • id: 118470
    {'lmfdb_iso': '3520.c', 'p': 79, 'prec': 20, 'unit': 1054059316723226133285768050441014240, 'val': 1}
  • id: 118472
    {'lmfdb_iso': '3520.c', 'p': 83, 'prec': 20, 'unit': 1586137942997307626407468248138417337, 'val': 1}
  • id: 118477
    {'lmfdb_iso': '3520.c', 'p': 89, 'prec': 20, 'unit': 3065178643736565950771880242353757273, 'val': 1}
  • id: 118463
    {'lmfdb_iso': '3520.c', 'p': 97, 'prec': 20, 'unit': 4320091795178617102788388900127358426, 'val': 1}