Elliptic curve data - 10800.w2

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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': '10800cp', 'Clabel': '10800cp1', 'Cnumber': 1, 'abc_quality': 0.6989700043360189, 'absD': 1968300000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 12, 'ainvs': [0, 0, 0, -3375, -33750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 10800, 'degree': 12960, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0536398074088034939987784740', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [2160, 1], 'lmfdb_iso': '10800.w', 'lmfdb_label': '10800.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -15, -10], 'min_quad_twist_disc': 60, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '12.16.0-12.b.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0831139091017950546765096387', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 2, 40], [5, 14, 432]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3053761377549758972263164235', 'prec': 103}, 'szpiro_ratio': 3.8747590114644623, '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, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, -1, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, 0, -2, -3, -1, 6, -2, 3, 6, 4, -7, 0, -2, -3, -6, -15, 5, -2, -9, 2, 10, 12, 18, 17], 'class_deg': 3, 'class_size': 2, 'conductor': 10800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '10800.w', 'trace_hash': 1908731361650300810}
• 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': '0.12156822941840008010664907349', 'prec': 103}, 'conductor': 10800, 'gens': [[-50, 100, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0831139091017950546765096387', 'prec': 100}], 'lmfdb_label': '10800.w2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.65482025779513323759900624259', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0921955609239955510887001800904612791', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [-50]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 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, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10800.w2'}
• ec_torsion_growth •

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

  
  
  • id: 558486
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [3]}
  • id: 558487
    {'degree': 3, 'field': [-20, -15, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [2]}
  • id: 558488
    {'degree': 6, 'field': [-8, 0, 42, -10, -21, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [2, 2]}
  • id: 558489
    {'degree': 6, 'field': [-3, 0, 7, 0, -1, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [3]}
  • id: 558490
    {'degree': 6, 'field': [125, 0, 0, -20, 0, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [6]}
  • id: 558491
    {'degree': 12, 'field': [3, 0, 252, 0, -237, 0, 48, 0, 9, 0, -12, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [4]}
  • id: 558492
    {'degree': 12, 'field': [9, 0, 21, 0, 46, 0, 1, 0, -6, 0, 1, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [3, 3]}
  • id: 558493
    {'degree': 12, 'field': [64, -192, 288, -112, 84, -216, 368, -108, 21, -14, 18, -6, 1], 'lmfdb_label': '10800.w2', 'torsion': [2, 6]}
  • id: 558495
    {'degree': 18, 'field': [-3, 0, 33, 0, -108, 0, 124, 0, 18, 0, -78, 0, -16, 0, 0, 0, -3, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [2, 6]}
  • id: 558494
    {'degree': 18, 'field': [1, 0, 27, 0, -99, 0, 96, 0, 0, 0, 171, 0, 63, 0, -45, 0, 18, 0, 1], 'lmfdb_label': '10800.w2', 'torsion': [9]}
• 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: 230061
    {'conductor': 10800, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '10800.w2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 230062
    {'conductor': 10800, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '10800.w2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 230063
    {'conductor': 10800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '10800.w2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1735459
    {'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [7, 6, 6, 7], [3, 4, 8, 11], [10, 9, 11, 2], [1, 6, 0, 1], [9, 10, 2, 5], [5, 6, 3, 5]], 'adelic_image': '12.16.0.?', 'conductor': 10800, 'lmfdb_label': '10800.w2', 'prime': 0}
  • id: 51893
    {'conductor': 10800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '10800.w2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 461941
    {'lmfdb_iso': '10800.w', 'p': 7, 'prec': 20, 'unit': 3668679528468704, 'val': 1}
  • id: 461939
    {'lmfdb_iso': '10800.w', 'p': 11, 'prec': 20, 'unit': 21252049076073458454, 'val': 1}
  • id: 461945
    {'lmfdb_iso': '10800.w', 'p': 13, 'prec': 20, 'unit': 735994323647543929726, 'val': 1}
  • id: 461947
    {'lmfdb_iso': '10800.w', 'p': 17, 'prec': 20, 'unit': 65212540844612398938132, 'val': 1}
  • id: 461948
    {'lmfdb_iso': '10800.w', 'p': 19, 'prec': 20, 'unit': 916962969023805160902258, 'val': 1}
  • id: 461951
    {'lmfdb_iso': '10800.w', 'p': 23, 'prec': 20, 'unit': 53543725853308135622172140, 'val': 1}
  • id: 461944
    {'lmfdb_iso': '10800.w', 'p': 29, 'prec': 20, 'unit': 1384095460172716155696071843, 'val': 1}
  • id: 461957
    {'lmfdb_iso': '10800.w', 'p': 31, 'prec': 20, 'unit': 9823114846309176338699259317, 'val': 1}
  • id: 461940
    {'lmfdb_iso': '10800.w', 'p': 37, 'prec': 20, 'unit': 577300063328109341130886673507, 'val': 1}
  • id: 461943
    {'lmfdb_iso': '10800.w', 'p': 43, 'prec': 20, 'unit': 670462333174167599117956220055, 'val': 1}
  • id: 461955
    {'lmfdb_iso': '10800.w', 'p': 47, 'prec': 20, 'unit': 32035070258991122492940901627151, 'val': 1}
  • id: 461949
    {'lmfdb_iso': '10800.w', 'p': 53, 'prec': 20, 'unit': 125732455972324075659044918907207, 'val': 1}
  • id: 461950
    {'lmfdb_iso': '10800.w', 'p': 59, 'prec': 20, 'unit': 3018065759958644070686872683325763, 'val': 1}
  • id: 461956
    {'lmfdb_iso': '10800.w', 'p': 61, 'prec': 20, 'unit': 2963890082666436670806599373577860, 'val': 1}
  • id: 461938
    {'lmfdb_iso': '10800.w', 'p': 67, 'prec': 20, 'unit': 2359973356334699608755967059856637, 'val': 1}
  • id: 461954
    {'lmfdb_iso': '10800.w', 'p': 71, 'prec': 20, 'unit': 123892345870099087471869882788184712, 'val': 1}
  • id: 461942
    {'lmfdb_iso': '10800.w', 'p': 73, 'prec': 20, 'unit': 178523938707741608647657444017984534, 'val': 1}
  • id: 461946
    {'lmfdb_iso': '10800.w', 'p': 79, 'prec': 20, 'unit': 566099335319331052845929953255565673, 'val': 1}
  • id: 461952
    {'lmfdb_iso': '10800.w', 'p': 83, 'prec': 20, 'unit': 381225273159644046861771389673434966, 'val': 1}
  • id: 461953
    {'lmfdb_iso': '10800.w', 'p': 89, 'prec': 20, 'unit': 8454634205796734774738654879240106058, 'val': 1}
  • id: 461937
    {'lmfdb_iso': '10800.w', 'p': 97, 'prec': 20, 'unit': 95657528532668079506695863294111928, 'val': 1}