Elliptic curve data - 54390.cv6

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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': '54390cv', 'Clabel': '54390cv5', 'Cnumber': 5, 'abc_quality': 1.0675015979740146, 'absD': 12050069514200096417640, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 62160, 'ainvs': [1, 0, 0, 5707274, -593249140], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 54390, 'degree': 5308416, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9263476975271859810578963195', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [174751791402194852399, 102423900876336360], 'lmfdb_iso': '54390.cv', 'lmfdb_label': '54390.cv6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 116475, 1779507], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0.by.2', '28.12.0-4.c.1.1', '40.24.0.bl.1', '56.24.0-8.n.1.6', '120.48.0.?', '168.48.0.?', '280.48.0.?', '592.24.0.?', '840.96.0.?', '1776.48.0.?', '2960.48.0.?', '4144.48.0.?', '8880.96.1.?', '12432.96.0.?', '20720.96.0.?', '62160.192.1.?'], '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': '1.0609347622495193240038982126', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9533926229995293285052199478', 'prec': 100}, 'szpiro_ratio': 5.345350649452517, '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, -1, 1, 0, 1, 1, -1, 4, 1, 2, 0, -1, 1, -2, 1, -4, -1], 'aplist': [1, 1, -1, 0, 4, 2, -2, -4, -8, -2, -8, 1, -10, 12, 0, 6, -4, 10, -4, 8, 6, -8, 4, -10, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 54390, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '54390.cv', 'trace_hash': 278665550169842345}
• 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': '0.0028721471442036815535624204878', 'prec': 110}, 'conductor': 54390, 'gens': [[446, 44954, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0609347622495193240038982126', 'prec': 100}], 'lmfdb_label': '54390.cv6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.074672439806596876712001165635', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.408052552883689618238194960891641630', 'prec': 130}, 'tamagawa_product': 576, 'torsion_generators': [[415, -415, 2]], 'xcoord_integral_points': [446, 1586, 16874]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [2, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '54390.cv6'}
• ec_torsion_growth •

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

  
  
  • id: 2630044
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [4]}
  • id: 2630043
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [2, 2]}
  • id: 2630045
    {'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [4]}
  • id: 2630047
    {'degree': 4, 'field': [1, 0, -5, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [8]}
  • id: 2630046
    {'degree': 4, 'field': [289, 0, 6, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [2, 4]}
  • id: 2630048
    {'degree': 4, 'field': [1369, 0, 46, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [8]}
  • id: 2630052
    {'degree': 8, 'field': [-33760, 21344, -6472, 636, -48, 63, -14, -2, 1], 'lmfdb_label': '54390.cv6', 'torsion': [6]}
  • id: 2630050
    {'degree': 8, 'field': [106, -232, 236, -16, 29, -28, 14, -4, 1], 'lmfdb_label': '54390.cv6', 'torsion': [8]}
  • id: 2630051
    {'degree': 8, 'field': [22801, 0, 5370, 0, 527, 0, 30, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [2, 8]}
  • id: 2630049
    {'degree': 8, 'field': [129976, 7168, -6424, -1496, 769, -28, 14, -4, 1], 'lmfdb_label': '54390.cv6', 'torsion': [2, 4]}
  • id: 2630054
    {'degree': 16, 'field': [11236, 0, 3792, 0, 54420, 0, -3408, 0, 4909, 0, -372, 0, 30, 0, -12, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [2, 8]}
  • id: 2630058
    {'degree': 16, 'field': [360000, 0, -286272, 0, 73200, 0, 12761, 0, -6838, 0, -1015, 0, 25, 0, -14, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [12]}
  • id: 2630053
    {'degree': 16, 'field': [64416676, 0, -23546928, 0, 1820020, 0, 409392, 0, 82509, 0, -1332, 0, -290, 0, -12, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [4, 4]}
  • id: 2630059
    {'degree': 16, 'field': [2304000000, 0, 7272432000, 0, 1226409600, 0, 115031200, 0, 7194800, 0, 308680, 0, 8380, 0, 140, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [12]}
  • id: 2630055
    {'degree': 16, 'field': [3009503401, 4501507968, 2104104022, -5584582704, 863629528, 649645764, -103350686, -19066008, 296929, -179916, 146182, 13656, -992, -132, -80, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [16]}
  • id: 2630057
    {'degree': 16, 'field': [7937472160, -7979123840, 525005456, 2240380544, -826785488, -21843648, 70893912, -19667280, 3139770, -249600, 32625, -2820, 1528, -98, 56, -4, 1], 'lmfdb_label': '54390.cv6', 'torsion': [2, 6]}
  • id: 2630056
    {'degree': 16, 'field': [185266698235441, 0, -13785812456744, 0, 487505955112, 0, -1861281392, 0, 58872670, 0, -1973528, 0, 23272, 0, -176, 0, 1], 'lmfdb_label': '54390.cv6', 'torsion': [16]}
• 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: 1306117
    {'conductor': 54390, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '54390.cv6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1306118
    {'conductor': 54390, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '54390.cv6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1306119
    {'conductor': 54390, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '54390.cv6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1306120
    {'conductor': 54390, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '54390.cv6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1306121
    {'conductor': 54390, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '54390.cv6', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

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

  
  
  • id: 2025516
    {'adelic_gens': [[62145, 16, 62144, 17], [1, 16, 0, 1], [5, 4, 62156, 62157], [15, 2, 62062, 62147], [14813, 26656, 29344, 17445], [49736, 44401, 51583, 26650], [1, 0, 16, 1], [8401, 26656, 49448, 26769], [26639, 0, 0, 62159], [54398, 59941, 34489, 57730], [59956, 59941, 4599, 57730]], 'adelic_image': '62160.192.1.?', 'conductor': 54390, 'lmfdb_label': '54390.cv6', 'prime': 0}
  • id: 232023
    {'conductor': 54390, 'elladic_image': '8.12.0.5', 'lmfdb_label': '54390.cv6', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2749283
    {'lmfdb_iso': '54390.cv', 'p': 11, 'prec': 20, 'unit': 50887400744088188506, 'val': 1}
  • id: 2749281
    {'lmfdb_iso': '54390.cv', 'p': 13, 'prec': 20, 'unit': 1391710629195900494218, 'val': 1}
  • id: 2749284
    {'lmfdb_iso': '54390.cv', 'p': 17, 'prec': 20, 'unit': 14719197131098990020402, 'val': 1}
  • id: 2749285
    {'lmfdb_iso': '54390.cv', 'p': 19, 'prec': 20, 'unit': 670258843271989118965974, 'val': 1}
  • id: 2749288
    {'lmfdb_iso': '54390.cv', 'p': 23, 'prec': 20, 'unit': 10989645783910732911937858, 'val': 1}
  • id: 2749280
    {'lmfdb_iso': '54390.cv', 'p': 29, 'prec': 20, 'unit': 91406118306979092442387967, 'val': 2}
  • id: 2749292
    {'lmfdb_iso': '54390.cv', 'p': 31, 'prec': 20, 'unit': 16112167501796486238295933026, 'val': 1}
  • id: 2749278
    {'lmfdb_iso': '54390.cv', 'p': 41, 'prec': 20, 'unit': 4153094380790150031459020496016, 'val': 1}
  • id: 2749279
    {'lmfdb_iso': '54390.cv', 'p': 43, 'prec': 20, 'unit': 3738643525981312052931112884088, 'val': 1}
  • id: 2749286
    {'lmfdb_iso': '54390.cv', 'p': 53, 'prec': 20, 'unit': 86632596986827239910009694744378, 'val': 1}
  • id: 2749290
    {'lmfdb_iso': '54390.cv', 'p': 59, 'prec': 20, 'unit': 3012523042199379220145419034109442, 'val': 1}
  • id: 2749291
    {'lmfdb_iso': '54390.cv', 'p': 61, 'prec': 20, 'unit': 3273412671009720140378607514229253, 'val': 1}
  • id: 2749276
    {'lmfdb_iso': '54390.cv', 'p': 67, 'prec': 20, 'unit': 12325820674802591291986752468026721, 'val': 1}
  • id: 2749277
    {'lmfdb_iso': '54390.cv', 'p': 71, 'prec': 20, 'unit': 125026967422547423560678102247884173, 'val': 1}
  • id: 2749287
    {'lmfdb_iso': '54390.cv', 'p': 73, 'prec': 20, 'unit': 92204734901437876379442990922157046, 'val': 1}
  • id: 2749282
    {'lmfdb_iso': '54390.cv', 'p': 79, 'prec': 20, 'unit': 297869502958684820377876281445290557, 'val': 1}
  • id: 2749275
    {'lmfdb_iso': '54390.cv', 'p': 83, 'prec': 20, 'unit': 1087906339154764957573920979296353702, 'val': 1}
  • id: 2749289
    {'lmfdb_iso': '54390.cv', 'p': 89, 'prec': 20, 'unit': 8597217487553469759999388142763360624, 'val': 1}
  • id: 2749274
    {'lmfdb_iso': '54390.cv', 'p': 97, 'prec': 20, 'unit': 12892108118796829607931309032603291571, 'val': 1}