Elliptic curve data - 2850.r2

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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': '2850s', 'Clabel': '2850s1', 'Cnumber': 1, 'abc_quality': 0.8465472958452559, 'absD': 51300, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1140, 'ainvs': [1, 1, 1, 7, 11], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 2850, 'degree': 288, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.41048745695815895801502747255', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 3], 'jinv': [1503815, 2052], 'lmfdb_iso': '2850.r', 'lmfdb_label': '2850.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 7, 11], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.2', '228.8.0.?', '1140.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83559686546427893175427622519', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1425], [3, 4, 950], [5, 10, 114], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67872710903050902044848736142', 'prec': 107}, 'szpiro_ratio': 2.2310710838213996, '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, 1, -1, 1, 0, -1, -2, 1, 1, 0, 3, -1, -2, -2, 0, 1, -6, 1, 1, 0], 'aplist': [1, -1, 0, -2, 3, -2, -6, 1, -3, 3, -7, -2, -6, 10, -12, 9, 6, -1, -5, 0, 1, -13, -15, -15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 2850, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '2850.r', 'trace_hash': 1035422289684443027}
• 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': '2.2727144587781410648475576744', 'prec': 100}, 'conductor': 2850, 'gens': [[-1, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.83559686546427893175427622519', 'prec': 103}], 'lmfdb_label': '2850.r2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.4005942833463535081645276627', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0118581168313601001029970457940969430', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-1]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 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': '2850.r2'}
• ec_torsion_growth •

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

  
  
  • id: 148168
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '2850.r2', 'torsion': [3]}
  • id: 148169
    {'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '2850.r2', 'torsion': [2]}
  • id: 148172
    {'degree': 6, 'field': [284, 52, -60, 0, -5, -3, 1], 'lmfdb_label': '2850.r2', 'torsion': [6]}
  • id: 148171
    {'degree': 6, 'field': [1084, -128, 130, -5, 5, -3, 1], 'lmfdb_label': '2850.r2', 'torsion': [3]}
  • id: 148170
    {'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '2850.r2', 'torsion': [2, 2]}
  • id: 148173
    {'degree': 12, 'field': [38376, -76668, 49749, 3250, -18950, 6892, 1429, -1452, 165, 100, -26, -2, 1], 'lmfdb_label': '2850.r2', 'torsion': [4]}
  • id: 148175
    {'degree': 12, 'field': [113104, -84512, 114052, -65700, 50245, -23272, 11851, -3706, 1180, -180, 47, -6, 1], 'lmfdb_label': '2850.r2', 'torsion': [2, 6]}
  • id: 148174
    {'degree': 12, 'field': [1175056, -138752, -124536, -5800, 10840, -2622, 1159, 627, -120, -5, 4, -3, 1], 'lmfdb_label': '2850.r2', 'torsion': [3, 3]}
  • id: 148176
    {'degree': 18, 'field': [-991591, 765576, -2823912, 3599463, -307485, -2371014, 1823784, -1014273, 404442, -83935, -2727, 14427, -5739, 1701, -315, -12, 27, -9, 1], 'lmfdb_label': '2850.r2', 'torsion': [9]}
  • id: 148177
    {'degree': 18, 'field': [32559616, -180882432, 405017984, -319046176, 33370080, 59961568, -7889656, -1359408, 1129472, -330685, 12689, 4992, 3116, 1786, -630, 44, 32, -9, 1], 'lmfdb_label': '2850.r2', '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: 50706
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2850.r2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 50707
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2850.r2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 50708
    {'conductor': 2850, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '2850.r2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 50709
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2850.r2', 'prime': 19, '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: 1682585
    {'adelic_gens': [[4, 3, 9, 7], [231, 2, 10, 7], [1135, 6, 1134, 7], [666, 481, 763, 114], [571, 6, 573, 19], [781, 6, 63, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1140.16.0.?', 'conductor': 2850, 'lmfdb_label': '2850.r2', 'prime': 0}
  • id: 14256
    {'conductor': 2850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2850.r2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 91677
    {'lmfdb_iso': '2850.r', 'p': 7, 'prec': 20, 'unit': 3062574294062228, 'val': 1}
  • id: 91675
    {'lmfdb_iso': '2850.r', 'p': 11, 'prec': 20, 'unit': 19159265837317819493, 'val': 1}
  • id: 91681
    {'lmfdb_iso': '2850.r', 'p': 13, 'prec': 20, 'unit': 1351763818283036105174, 'val': 1}
  • id: 91683
    {'lmfdb_iso': '2850.r', 'p': 17, 'prec': 20, 'unit': 116356114423655480796440, 'val': 1}
  • id: 91688
    {'lmfdb_iso': '2850.r', 'p': 23, 'prec': 20, 'unit': 5054932580688836653116260, 'val': 1}
  • id: 91680
    {'lmfdb_iso': '2850.r', 'p': 29, 'prec': 20, 'unit': 1777414316827416647911177040, 'val': 1}
  • id: 91692
    {'lmfdb_iso': '2850.r', 'p': 31, 'prec': 20, 'unit': 16506045738040947656124962487, 'val': 1}
  • id: 91676
    {'lmfdb_iso': '2850.r', 'p': 37, 'prec': 20, 'unit': 120139588177212889089984633505, 'val': 1}
  • id: 91678
    {'lmfdb_iso': '2850.r', 'p': 41, 'prec': 20, 'unit': 1151017422581461251846224020198, 'val': 1}
  • id: 91679
    {'lmfdb_iso': '2850.r', 'p': 43, 'prec': 20, 'unit': 524091883646524842147981438667, 'val': 1}
  • id: 91690
    {'lmfdb_iso': '2850.r', 'p': 47, 'prec': 20, 'unit': 14034699692725693785463908126601, 'val': 1}
  • id: 91685
    {'lmfdb_iso': '2850.r', 'p': 53, 'prec': 20, 'unit': 322751187728847142484553148994540, 'val': 1}
  • id: 91686
    {'lmfdb_iso': '2850.r', 'p': 59, 'prec': 20, 'unit': 3982333025515104345303491559954197, 'val': 1}
  • id: 91691
    {'lmfdb_iso': '2850.r', 'p': 61, 'prec': 20, 'unit': 4297046694604054176373451068301515, 'val': 1}
  • id: 91684
    {'lmfdb_iso': '2850.r', 'p': 67, 'prec': 20, 'unit': 8737640945648756612860502944063814, 'val': 1}
  • id: 91687
    {'lmfdb_iso': '2850.r', 'p': 73, 'prec': 20, 'unit': 17143297051555663831224148937947918825, 'val': -1}
  • id: 91682
    {'lmfdb_iso': '2850.r', 'p': 79, 'prec': 20, 'unit': 779675481761578836392471584406340407, 'val': 1}
  • id: 91674
    {'lmfdb_iso': '2850.r', 'p': 83, 'prec': 20, 'unit': 1914840716240595768495721797561887541, 'val': 1}
  • id: 91689
    {'lmfdb_iso': '2850.r', 'p': 89, 'prec': 20, 'unit': 8605166451550913617479956043422164090, 'val': 1}
  • id: 91673
    {'lmfdb_iso': '2850.r', 'p': 97, 'prec': 20, 'unit': 31716948711835993138551452908206020713, 'val': 1}