Elliptic curve data - 3328.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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3328d', 'Clabel': '3328d2', 'Cnumber': 2, 'abc_quality': 1.1142026061156065, 'absD': 190102016, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1040, 'ainvs': [0, -1, 0, -7, -661], 'analytic_rank': 2, 'bad_primes': [2, 13], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 3328, 'degree': 960, 'elladic_images': ['5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.26752207270656475500053541366', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 5, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 5], 'jinv': [-85184, 371293], 'lmfdb_iso': '3328.c', 'lmfdb_label': '3328.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7, -661], 'min_quad_twist_disc': 1, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '40.12.0.bp.2', '80.24.0.?', '104.2.0.?', '260.12.0.?', '520.24.1.?', '1040.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.38232559247018185324382778116', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 13], [5, 2, 256], [13, 14, 256]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25233831271339422706238867743', 'prec': 107}, 'szpiro_ratio': 3.269729903089772, '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, 0, -1, 0, -3, 0, -3, 0, -2, 0, 0, 0, 1, 0, 3, 0, -7, 0, -4, 0], 'aplist': [0, -1, -3, -3, 0, 1, -7, -4, -4, -4, -8, -7, -2, 1, -7, -4, 14, -10, 2, 3, -14, -10, 14, 0, 8], 'class_deg': 5, 'class_size': 2, 'conductor': 3328, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '3328.c', 'trace_hash': 1570996525553473406}
• 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': '0.58564343610269597812793508450', 'prec': 103}, 'conductor': 3328, 'gens': [[49, 338, 1], [10, 13, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.57071694214196577871931384991', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.71941539149150578423879932891', 'prec': 103}], 'lmfdb_label': '3328.c1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.81425285438867079872320282406', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1130970497468527730050324898354948126', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': [10, 17, 23, 34, 49, 175, 218, 673]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [2, 1], '7': [2, 0], '11': [2, 4, 0], '13': [3, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '3328.c1'}
• ec_torsion_growth •

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

  
  
  • id: 173579
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '3328.c1', 'torsion': [2]}
  • id: 173580
    {'degree': 4, 'field': [90, 0, 20, 0, 1], 'lmfdb_label': '3328.c1', 'torsion': [5]}
  • id: 173581
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '3328.c1', 'torsion': [2, 2]}
  • id: 173582
    {'degree': 8, 'field': [-1452, 0, 928, 0, -132, 0, 0, 0, 1], 'lmfdb_label': '3328.c1', 'torsion': [3]}
  • id: 173583
    {'degree': 12, 'field': [-26, 0, -36, 0, 85, 0, -20, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '3328.c1', 'torsion': [4]}
  • id: 173584
    {'degree': 12, 'field': [250, 0, 22500, 0, 10225, 0, 2800, 0, 370, 0, 20, 0, 1], 'lmfdb_label': '3328.c1', 'torsion': [10]}
  • id: 173585
    {'degree': 20, 'field': [32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3328.c1', 'torsion': [5]}
• 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: 60465
    {'conductor': 3328, 'conductor_valuation': 8, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3328.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 60466
    {'conductor': 3328, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '3328.c1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

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

  
  
  • id: 1685620
    {'adelic_gens': [[657, 790, 1000, 801], [1031, 10, 1030, 11], [6, 13, 985, 921], [1, 0, 10, 1], [911, 10, 395, 51], [1, 10, 0, 1], [783, 10, 755, 957], [561, 10, 725, 51]], 'adelic_image': '1040.48.1.?', 'conductor': 3328, 'lmfdb_label': '3328.c1', 'prime': 0}
  • id: 16685
    {'conductor': 3328, 'elladic_image': '5.6.0.1', 'lmfdb_label': '3328.c1', 'modell_image': '5B', 'prime': 5}
• ec_padic •

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

  
  
  • id: 110178
    {'lmfdb_iso': '3328.c', 'p': 5, 'prec': 20, 'unit': 676840321693, 'val': 2}
  • id: 110179
    {'lmfdb_iso': '3328.c', 'p': 7, 'prec': 20, 'unit': 1269976250275244, 'val': 2}
  • id: 110185
    {'lmfdb_iso': '3328.c', 'p': 17, 'prec': 20, 'unit': 120656273511948118265831, 'val': 2}
  • id: 110175
    {'lmfdb_iso': '3328.c', 'p': 19, 'prec': 20, 'unit': 784204492867162425691142, 'val': 2}
  • id: 110190
    {'lmfdb_iso': '3328.c', 'p': 23, 'prec': 20, 'unit': 10225290184571848201011591, 'val': 2}
  • id: 110183
    {'lmfdb_iso': '3328.c', 'p': 29, 'prec': 20, 'unit': 1256889248472779499897427398, 'val': 2}
  • id: 110180
    {'lmfdb_iso': '3328.c', 'p': 31, 'prec': 20, 'unit': 12149132650682592316353204004, 'val': 2}
  • id: 110194
    {'lmfdb_iso': '3328.c', 'p': 37, 'prec': 20, 'unit': 85427608866007880593221395266, 'val': 2}
  • id: 110181
    {'lmfdb_iso': '3328.c', 'p': 41, 'prec': 20, 'unit': 3275305543131019209277264322945, 'val': 2}
  • id: 110182
    {'lmfdb_iso': '3328.c', 'p': 43, 'prec': 20, 'unit': 48881501940342150716698730066, 'val': 0}
  • id: 110192
    {'lmfdb_iso': '3328.c', 'p': 47, 'prec': 20, 'unit': 30862757630073485600225146891810, 'val': 2}
  • id: 110187
    {'lmfdb_iso': '3328.c', 'p': 53, 'prec': 20, 'unit': 242285404528422315722457214222806, 'val': 2}
  • id: 110188
    {'lmfdb_iso': '3328.c', 'p': 59, 'prec': 20, 'unit': 2381261053655409075644792995293322, 'val': 2}
  • id: 110193
    {'lmfdb_iso': '3328.c', 'p': 61, 'prec': 20, 'unit': 8094197081177269957482664174232065, 'val': 2}
  • id: 110177
    {'lmfdb_iso': '3328.c', 'p': 67, 'prec': 20, 'unit': 38511763584225257501546196648523543, 'val': 2}
  • id: 110191
    {'lmfdb_iso': '3328.c', 'p': 71, 'prec': 20, 'unit': 132495507564534546866975991655354280, 'val': 2}
  • id: 110189
    {'lmfdb_iso': '3328.c', 'p': 73, 'prec': 20, 'unit': 210635782759910668663951364128532412, 'val': 2}
  • id: 110184
    {'lmfdb_iso': '3328.c', 'p': 79, 'prec': 20, 'unit': 123962179345492775521318776852146651, 'val': 2}
  • id: 110186
    {'lmfdb_iso': '3328.c', 'p': 83, 'prec': 20, 'unit': 2206402112120877083951018919836567330, 'val': 2}
  • id: 110176
    {'lmfdb_iso': '3328.c', 'p': 97, 'prec': 20, 'unit': 49165024590568691637703772398928610632, 'val': 2}