Elliptic curve data - 4400.v1

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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': '4400s', 'Clabel': '4400s2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 5324000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 660, 'ainvs': [0, 1, 0, -1933, 32263], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4400, 'degree': 2592, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70173127475893722519452293814', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '4400.v', 'lmfdb_label': '4400.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': -20, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '60.8.0-3.a.1.1', '66.8.0.a.1', '660.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54670486219032486097334541771', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 2, 400], [5, 14, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56508580183140983505067814278', 'prec': 107}, 'szpiro_ratio': 4.091617524534346, '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, 0, 0, 2, 0, -2, 0, 1, 0, 4, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 1, 0, 2, 1, 4, -6, -8, -3, 0, -5, 1, 0, -10, 0, 6, -3, -4, -1, -15, 4, -2, 6, -9, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 4400, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4400.v', 'trace_hash': 1857707142111421121}
• 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': '0.24574458629452047570755826883', 'prec': 103}, 'conductor': 4400, 'gens': [[27, 22, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.54670486219032486097334541771', 'prec': 103}], 'lmfdb_label': '4400.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3658215008072857871149014970', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4802075322525791125685975282616739445', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-6, 27]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '4400.v1'}
• ec_torsion_growth •

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

  
  
  • id: 228901
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '4400.v1', 'torsion': [3]}
  • id: 228902
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '4400.v1', 'torsion': [2]}
  • id: 228905
    {'degree': 6, 'field': [-686, -196, -28, -18, 18, -2, 1], 'lmfdb_label': '4400.v1', 'torsion': [6]}
  • id: 228903
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '4400.v1', 'torsion': [2, 2]}
  • id: 228904
    {'degree': 6, 'field': [54, 0, 0, -14, 0, 0, 1], 'lmfdb_label': '4400.v1', 'torsion': [3]}
  • id: 228906
    {'degree': 12, 'field': [-1034, 264, 660, 396, -788, -196, 276, 172, -102, -14, 6, -2, 1], 'lmfdb_label': '4400.v1', 'torsion': [4]}
  • id: 228907
    {'degree': 12, 'field': [2809, -6360, 6549, -3960, 1968, -912, 355, -66, 6, -18, 15, -6, 1], 'lmfdb_label': '4400.v1', 'torsion': [3, 3]}
  • id: 228908
    {'degree': 12, 'field': [829921, -67414, 50191, 34812, -17974, -322, 1877, -1714, 682, -180, 47, -6, 1], 'lmfdb_label': '4400.v1', 'torsion': [2, 6]}
  • id: 228909
    {'degree': 18, 'field': [-1808151, 27248544, -120876732, 162163638, -45788529, -66028392, 37365169, 1721700, -6129027, 1249942, 497304, -164790, 3006, 3102, 693, -320, -9, 0, 1], 'lmfdb_label': '4400.v1', 'torsion': [9]}
  • id: 228910
    {'degree': 18, 'field': [157464, 0, 0, 40824, 0, 0, 7668, 0, 0, 280, 0, 0, -34, 0, 0, -14, 0, 0, 1], 'lmfdb_label': '4400.v1', 'torsion': [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: 83232
    {'conductor': 4400, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4400.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 83233
    {'conductor': 4400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4400.v1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 83234
    {'conductor': 4400, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4400.v1', 'prime': 11, 'reduction_type': 1, '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: 1692572
    {'adelic_gens': [[4, 3, 9, 7], [655, 6, 654, 7], [329, 0, 0, 659], [599, 390, 600, 389], [514, 75, 485, 389], [263, 0, 0, 659], [1, 6, 0, 1], [3, 4, 8, 11], [541, 270, 435, 151], [1, 0, 6, 1]], 'adelic_image': '660.16.0.?', 'conductor': 4400, 'lmfdb_label': '4400.v1', 'prime': 0}
  • id: 21817
    {'conductor': 4400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4400.v1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 156551
    {'lmfdb_iso': '4400.v', 'p': 7, 'prec': 20, 'unit': 6622335824880897, 'val': 1}
  • id: 156554
    {'lmfdb_iso': '4400.v', 'p': 13, 'prec': 20, 'unit': 1177440726327430229455, 'val': 1}
  • id: 156556
    {'lmfdb_iso': '4400.v', 'p': 17, 'prec': 20, 'unit': 9809676256562239205465, 'val': 1}
  • id: 156547
    {'lmfdb_iso': '4400.v', 'p': 19, 'prec': 20, 'unit': 99830997253165117516446, 'val': 1}
  • id: 156559
    {'lmfdb_iso': '4400.v', 'p': 23, 'prec': 20, 'unit': 37416242412486361297107779, 'val': 1}
  • id: 156564
    {'lmfdb_iso': '4400.v', 'p': 31, 'prec': 20, 'unit': 21470417836137810632408555677, 'val': 1}
  • id: 156550
    {'lmfdb_iso': '4400.v', 'p': 37, 'prec': 20, 'unit': 2786004848656766128182785700968, 'val': 0}
  • id: 156553
    {'lmfdb_iso': '4400.v', 'p': 43, 'prec': 20, 'unit': 1572332465273024672849746955197, 'val': 1}
  • id: 156558
    {'lmfdb_iso': '4400.v', 'p': 53, 'prec': 20, 'unit': 356107161763508802951362606495901, 'val': 1}
  • id: 156562
    {'lmfdb_iso': '4400.v', 'p': 59, 'prec': 20, 'unit': 1740382707087690811375609404525270, 'val': 1}
  • id: 156563
    {'lmfdb_iso': '4400.v', 'p': 61, 'prec': 20, 'unit': 1441754348984488822045449648932974, 'val': 1}
  • id: 156549
    {'lmfdb_iso': '4400.v', 'p': 67, 'prec': 20, 'unit': 20550887870233072680792059774542110, 'val': 1}
  • id: 156561
    {'lmfdb_iso': '4400.v', 'p': 71, 'prec': 20, 'unit': 95932790707223737557686871591894284, 'val': 1}
  • id: 156552
    {'lmfdb_iso': '4400.v', 'p': 73, 'prec': 20, 'unit': 12089214365872393634204096652448164, 'val': 1}
  • id: 156555
    {'lmfdb_iso': '4400.v', 'p': 79, 'prec': 20, 'unit': 628567328430020996890214038239079559, 'val': 1}
  • id: 156557
    {'lmfdb_iso': '4400.v', 'p': 83, 'prec': 20, 'unit': 2354381024914824781506468992837795542, 'val': 1}
  • id: 156560
    {'lmfdb_iso': '4400.v', 'p': 89, 'prec': 20, 'unit': 6401559136317763919657930659639369380, 'val': 1}
  • id: 156548
    {'lmfdb_iso': '4400.v', 'p': 97, 'prec': 20, 'unit': 19415967000145369423975641369425477532, 'val': 1}