Elliptic curve data - 28050.cy1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '28050do', 'Clabel': '28050do4', 'Cnumber': 4, 'abc_quality': 1.0294913049284855, 'absD': 4930966915089187500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 22440, 'ainvs': [1, 0, 0, -12098488, 16196019092], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 28050, 'degree': 1966080, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6949849453577400072064228228', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 4], 'jinv': [12534210458299016895673, 315581882565708], 'lmfdb_iso': '28050.cy', 'lmfdb_label': '28050.cy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483939, 129374577], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '220.12.0.?', '264.12.0.?', '340.12.0.?', '408.12.0.?', '748.12.0.?', '1320.24.0.?', '2040.24.0.?', '3740.24.0.?', '4488.24.0.?', '22440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63911562998375342831296882241', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8902659891406898199060431562', 'prec': 100}, 'szpiro_ratio': 5.9110417812148786, '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, 1, 1, 1, 0, 1, -4, 1, 1, 0, 1, 1, -6, -4, 0, 1, 1, 1, 4, 0], 'aplist': [1, 1, 0, -4, 1, -6, 1, 4, 0, 2, 0, 10, -10, 4, -4, 2, 0, 2, -12, 0, 10, 4, 12, -14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 28050, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '28050.cy', 'trace_hash': 795945991535206316}
• 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': '0.0045621106955561253808820380578', 'prec': 110}, 'conductor': 28050, 'gens': [[2072, 3914, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.63911562998375342831296882241', 'prec': 103}], 'lmfdb_label': '28050.cy1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22542826790314827617743593636', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6444837674240171798670515381046953848', 'prec': 130}, 'tamagawa_product': 240, 'torsion_generators': [[8063, -8063, 2]], 'xcoord_integral_points': [2072, 3656, 225272]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [2, 0], '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [2, 0], '19': [3, 0], '23': [1, 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': '28050.cy1'}
• ec_torsion_growth •

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

  
  
  • id: 1405664
    {'degree': 2, 'field': [-187, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [2, 2]}
  • id: 1405665
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [4]}
  • id: 1405666
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '28050.cy1', 'torsion': [4]}
  • id: 1405667
    {'degree': 4, 'field': [1089, 0, -121, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [2, 4]}
  • id: 1405671
    {'degree': 8, 'field': [-8524, 2248, 440, 177, -90, -15, 13, -4, 1], 'lmfdb_label': '28050.cy1', 'torsion': [6]}
  • id: 1405668
    {'degree': 8, 'field': [176614, -51628, 54308, -5446, 2939, -262, 92, -4, 1], 'lmfdb_label': '28050.cy1', 'torsion': [2, 4]}
  • id: 1405670
    {'degree': 8, 'field': [409140, -26640, 29694, -6192, 3307, -256, 90, -4, 1], 'lmfdb_label': '28050.cy1', 'torsion': [8]}
  • id: 1405669
    {'degree': 8, 'field': [2455489, 0, -446680, 0, 22734, 0, -280, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [8]}
  • id: 1405676
    {'degree': 16, 'field': [944784, 0, 1399680, 0, -2703132, 0, -155520, 0, -666120, 0, -36640, 0, 2856, 0, 0, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [12]}
  • id: 1405677
    {'degree': 16, 'field': [10673289, 0, 4168692, 0, 436626, 0, -468072, 0, 1815, 0, 9944, 0, -726, 0, 0, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [12]}
  • id: 1405672
    {'degree': 16, 'field': [249292521, 0, 834088360, 0, 370627330, 0, 38723048, 0, 3085043, 0, 154280, 0, 5246, 0, 112, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [4, 4]}
  • id: 1405674
    {'degree': 16, 'field': [22090548969, 54591165612, -22391769882, -60599462004, 20993551660, 10634331196, -2670998506, -719768148, 143920117, 23303588, -3955622, -377068, 56596, 2856, -388, -8, 1], 'lmfdb_label': '28050.cy1', 'torsion': [2, 8]}
  • id: 1405673
    {'degree': 16, 'field': [1393523586576, 0, 116436454992, 0, 46093253580, 0, -317526924, 0, -14594447, 0, 274256, 0, 8850, 0, 92, 0, 1], 'lmfdb_label': '28050.cy1', 'torsion': [2, 8]}
  • id: 1405675
    {'degree': 16, 'field': [2506186612836, 0, 735276267216, 0, 211782880152, 0, -9329009032, 0, 181923056, 0, -3104980, 0, 47461, 0, -374, 0, 1], 'lmfdb_label': '28050.cy1', '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: 649693
    {'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '28050.cy1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 649694
    {'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '28050.cy1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 649695
    {'conductor': 28050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '28050.cy1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 649696
    {'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '28050.cy1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 649697
    {'conductor': 28050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28050.cy1', 'prime': 17, '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: 1851254
    {'adelic_gens': [[1, 8, 0, 1], [16736, 17955, 2045, 13466], [13463, 0, 0, 22439], [1, 0, 8, 1], [7, 6, 22434, 22435], [7481, 17960, 16460, 4521], [8416, 15155, 17395, 12936], [8716, 13465, 15335, 6], [1, 4, 4, 17], [22433, 8, 22432, 9], [3931, 3930, 20770, 571]], 'adelic_image': '22440.48.0.?', 'conductor': 28050, 'lmfdb_label': '28050.cy1', 'prime': 0}
  • id: 126809
    {'conductor': 28050, 'elladic_image': '4.6.0.1', 'lmfdb_label': '28050.cy1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1347103
    {'lmfdb_iso': '28050.cy', 'p': 7, 'prec': 20, 'unit': 1010647297909770, 'val': 1}
  • id: 1347107
    {'lmfdb_iso': '28050.cy', 'p': 13, 'prec': 20, 'unit': 844433477734877733568, 'val': 1}
  • id: 1347109
    {'lmfdb_iso': '28050.cy', 'p': 19, 'prec': 20, 'unit': 80851283660658199594103, 'val': 2}
  • id: 1347106
    {'lmfdb_iso': '28050.cy', 'p': 29, 'prec': 20, 'unit': 719049463941759620598403985, 'val': 1}
  • id: 1347102
    {'lmfdb_iso': '28050.cy', 'p': 37, 'prec': 20, 'unit': 400303657812474701586339645227, 'val': 1}
  • id: 1347104
    {'lmfdb_iso': '28050.cy', 'p': 41, 'prec': 20, 'unit': 3551906141634963721160669762496, 'val': 1}
  • id: 1347105
    {'lmfdb_iso': '28050.cy', 'p': 43, 'prec': 20, 'unit': 4140775658578839144669859167302, 'val': 1}
  • id: 1347108
    {'lmfdb_iso': '28050.cy', 'p': 47, 'prec': 20, 'unit': 5992183487094911649520183473506, 'val': 1}
  • id: 1347110
    {'lmfdb_iso': '28050.cy', 'p': 53, 'prec': 20, 'unit': 7072549341893562397983780961143, 'val': 2}
  • id: 1347114
    {'lmfdb_iso': '28050.cy', 'p': 61, 'prec': 20, 'unit': 6879891672644679640725975974089591, 'val': 1}
  • id: 1347101
    {'lmfdb_iso': '28050.cy', 'p': 67, 'prec': 20, 'unit': 2457719513104678948936555988936636, 'val': 1}
  • id: 1347111
    {'lmfdb_iso': '28050.cy', 'p': 73, 'prec': 20, 'unit': 117013239220051563091628469380713955, 'val': 1}
  • id: 1347113
    {'lmfdb_iso': '28050.cy', 'p': 79, 'prec': 20, 'unit': 414351156236836035482899795264994864, 'val': 1}
  • id: 1347100
    {'lmfdb_iso': '28050.cy', 'p': 83, 'prec': 20, 'unit': 133460195486366115726330836399281448, 'val': 1}
  • id: 1347112
    {'lmfdb_iso': '28050.cy', 'p': 89, 'prec': 20, 'unit': 10280253192978294792995290269361672457, 'val': 1}
  • id: 1347099
    {'lmfdb_iso': '28050.cy', 'p': 97, 'prec': 20, 'unit': 41272700982306972365215591424254284724, 'val': 1}