Elliptic curve data - 301665.n1

Formats: - HTML - YAML - JSON - 2024-06-02T22:16:22.337240

• 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': '301665n', 'Clabel': '301665n4', 'Cnumber': 4, 'abc_quality': 1.0526535814247333, 'absD': 22407297460935900483481875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [1, 1, 1, -70482045, -1791022680], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 301665, 'degree': 76382208, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5537541687006258966900560622', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [8022303494868395314009, 4642258987446136875], 'lmfdb_iso': '301665.n', 'lmfdb_label': '301665.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -417053, -975618], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '280.24.0.?', '364.24.0.?', '520.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2022075410795073590793720491', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2712794899698575286633123414', 'prec': 100}, 'szpiro_ratio': 5.217233171256575, '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, 1, 3, 1, -1, 4, 1, 0, -1, -1, -1, -1, -1, 8, -1], 'aplist': [-1, -1, 1, 1, 4, 0, -1, 8, 4, -2, -4, -2, 2, -8, 0, 14, -8, 14, 4, 0, -6, 8, 12, 2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 301665, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '301665.n', 'trace_hash': 391354114179537942}
• 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': '0.00081893295670968101625261504659', 'prec': 113}, 'conductor': 301665, 'gens': [[-79467, 30569607, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '6.2022075410795073590793720491', 'prec': 100}], 'lmfdb_label': '301665.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.057175641989696887634376334386', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6738431666329626414148320731920589343', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-33533, 33529, 2]], 'xcoord_integral_points': []}
• lmfdb_label 301665.n1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12758011
    {'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [2, 2]}
  • id: 12758013
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [4]}
  • id: 12758012
    {'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '301665.n1', 'torsion': [4]}
  • id: 12758015
    {'degree': 4, 'field': [-1288651, 0, 0, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [2, 4]}
  • id: 12758014
    {'degree': 4, 'field': [529, 0, -45, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [2, 4]}
  • id: 12758019
    {'degree': 8, 'field': [-3871, 784, -574, -421, 214, -7, 7, -4, 1], 'lmfdb_label': '301665.n1', 'torsion': [6]}
  • id: 12758017
    {'degree': 8, 'field': [2401, 0, 0, 0, 1358, 0, 0, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [8]}
  • id: 12758018
    {'degree': 8, 'field': [691637401, 0, 0, 0, 728858, 0, 0, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [8]}
  • id: 12758016
    {'degree': 8, 'field': [432273375625, 0, 0, 0, 1078259, 0, 0, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [4, 4]}
  • id: 12758020
    {'degree': 16, 'field': [55225, -159800, 231200, -372540, 876694, -1152844, 922152, -453548, 99303, 16708, -10584, 3836, -518, -84, 32, -8, 1], 'lmfdb_label': '301665.n1', 'torsion': [2, 8]}
  • id: 12758025
    {'degree': 16, 'field': [14984641, 0, -3829252, 0, -667184, 0, 466131, 0, 30396, 0, 1569, 0, 421, 0, 2, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [12]}
  • id: 12758023
    {'degree': 16, 'field': [106894921, 0, -416949428, 0, 141311296, 0, -6899040701, 0, 147985096, 0, -752339, 0, 7861, 0, -182, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [2, 6]}
  • id: 12758024
    {'degree': 16, 'field': [201820451, -71206723, -26056688, -61802468, 22643096, 1945083, 6807721, -1714301, 721760, -124061, 26622, -6158, 809, -168, 53, -4, 1], 'lmfdb_label': '301665.n1', 'torsion': [12]}
  • id: 12758022
    {'degree': 16, 'field': [723350250000000000, 0, -23690825609472000, 0, 76655271974400, 0, -33633976320, 0, 4065881344, 0, -61522496, 0, 98672, 0, 112, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [2, 8]}
  • id: 12758021
    {'degree': 16, 'field': [5690680216930062225, 0, -2043474375709980, 0, 340924728283726, 0, -113206690372, 0, 9863992299, 0, -285476, 0, 142794, 0, 8, 0, 1], 'lmfdb_label': '301665.n1', 'torsion': [2, 8]}
• 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: 7470537
    {'conductor': 301665, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '301665.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7470538
    {'conductor': 301665, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '301665.n1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7470539
    {'conductor': 301665, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '301665.n1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7470540
    {'conductor': 301665, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '301665.n1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7470541
    {'conductor': 301665, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '301665.n1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 3560696
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1457, 8, 2188, 33], [1368, 3193, 1393, 1440], [7, 6, 3634, 3635], [528, 3, 2605, 2], [1396, 3639, 1657, 3634], [459, 458, 1378, 3195], [3633, 8, 3632, 9]], 'adelic_image': '3640.48.0.?', 'conductor': 301665, 'lmfdb_label': '301665.n1', 'prime': 0}
  • id: 1062958
    {'conductor': 301665, 'elladic_image': '4.12.0.8', 'lmfdb_label': '301665.n1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 301665.n does not appear in ec_padic