Elliptic curve data - 6160.f2

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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': '6160d', 'Clabel': '6160d4', 'Cnumber': 4, 'abc_quality': 0.9447685706248564, 'absD': 131183360000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 0, 0, -1307, -5206], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6160, 'degree': 4096, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82473706072130439789368770072', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [120564797922, 64054375], 'lmfdb_iso': '6160.f', 'lmfdb_label': '6160.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1307, 5206], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '56.24.0-56.s.1.4', '440.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1807358028327007736910132096', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [5, 6, 1232], [7, 8, 880], [11, 12, 560]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18935214520802119759455825605', 'prec': 103}, 'szpiro_ratio': 3.797926886388459, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 0, 0, 1, 0, -1, 0, -3, 0, 1, 0, -2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 1, -1, 1, -2, 2, 0, 4, 2, -8, 2, 6, -12, 0, 10, 4, -2, -12, -8, -6, -4, 12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 6160, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6160.f', 'trace_hash': 608313941200879806}
• 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': '0.19215093010983607125369122901', 'prec': 103}, 'conductor': 6160, 'gens': [[-7, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1807358028327007736910132096', 'prec': 100}], 'lmfdb_label': '6160.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.84341240834654083246205654980', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9833889083524581948543971731174724857', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-17, 110, 1]], 'xcoord_integral_points': [-17, -7, 38, 49, 313]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [2, 0], '7': [3, 0], '11': [2, 0], '13': [3, 0], '17': [1, 0], '19': [1, 3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '6160.f2'}
• ec_torsion_growth •

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

  
  
  • id: 321334
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '6160.f2', 'torsion': [2, 4]}
  • id: 321335
    {'degree': 4, 'field': [56, 0, -2, 0, 1], 'lmfdb_label': '6160.f2', 'torsion': [8]}
  • id: 321339
    {'degree': 8, 'field': [-3, 0, 888, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '6160.f2', 'torsion': [12]}
  • id: 321336
    {'degree': 8, 'field': [225, 0, -164, 0, 34, 0, 4, 0, 1], 'lmfdb_label': '6160.f2', 'torsion': [4, 4]}
  • id: 321338
    {'degree': 8, 'field': [3136, 6272, 5992, 2744, 774, 116, -3, -2, 1], 'lmfdb_label': '6160.f2', 'torsion': [2, 8]}
  • id: 321337
    {'degree': 8, 'field': [1731856, 0, -321440, 0, 16968, 0, -280, 0, 1], 'lmfdb_label': '6160.f2', 'torsion': [2, 8]}
  • id: 321341
    {'degree': 16, 'field': [116208400, 0, -66404800, 0, 9615760, 0, 773024, 0, 27832, 0, -3136, 0, 3136, 0, -112, 0, 1], 'lmfdb_label': '6160.f2', 'torsion': [2, 12]}
  • id: 321340
    {'degree': 16, 'field': [116208400, 0, -33202400, 0, 2393160, 0, -43120, 0, 24696, 0, -3304, 0, 226, 0, -4, 0, 1], 'lmfdb_label': '6160.f2', '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: 122917
    {'conductor': 6160, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '6160.f2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 122918
    {'conductor': 6160, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6160.f2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 122919
    {'conductor': 6160, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6160.f2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 122920
    {'conductor': 6160, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6160.f2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1704361
    {'adelic_gens': [[2696, 1163, 1929, 1958], [1152, 2687, 1127, 1080], [617, 8, 2468, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2521, 8, 844, 33], [2208, 3, 1765, 2], [3073, 8, 3072, 9], [7, 6, 3074, 3075]], 'adelic_image': '3080.48.0.?', 'conductor': 6160, 'lmfdb_label': '6160.f2', 'prime': 0}
  • id: 30321
    {'conductor': 6160, 'elladic_image': '4.12.0.7', 'lmfdb_label': '6160.f2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 239488
    {'lmfdb_iso': '6160.f', 'p': 13, 'prec': 20, 'unit': 89055538893054536908, 'val': 2}
  • id: 239490
    {'lmfdb_iso': '6160.f', 'p': 17, 'prec': 20, 'unit': 85150370171856993110049, 'val': 1}
  • id: 239494
    {'lmfdb_iso': '6160.f', 'p': 23, 'prec': 20, 'unit': 12605853368982039820362468, 'val': 1}
  • id: 239487
    {'lmfdb_iso': '6160.f', 'p': 29, 'prec': 20, 'unit': 1978152783900154728368676182, 'val': 1}
  • id: 239498
    {'lmfdb_iso': '6160.f', 'p': 31, 'prec': 20, 'unit': 11176593958201618325485410948, 'val': 1}
  • id: 239483
    {'lmfdb_iso': '6160.f', 'p': 37, 'prec': 20, 'unit': 403942203695405526529740930094, 'val': 1}
  • id: 239485
    {'lmfdb_iso': '6160.f', 'p': 41, 'prec': 20, 'unit': 276728823183851418361720382381, 'val': 1}
  • id: 239486
    {'lmfdb_iso': '6160.f', 'p': 43, 'prec': 20, 'unit': 4306415503386500703828407262134, 'val': 1}
  • id: 239492
    {'lmfdb_iso': '6160.f', 'p': 53, 'prec': 20, 'unit': 575378876200788507901075960995347, 'val': 1}
  • id: 239496
    {'lmfdb_iso': '6160.f', 'p': 59, 'prec': 20, 'unit': 3832712882082496061989489277620927, 'val': 1}
  • id: 239497
    {'lmfdb_iso': '6160.f', 'p': 61, 'prec': 20, 'unit': 7895885225788981341103806498594102, 'val': 1}
  • id: 239482
    {'lmfdb_iso': '6160.f', 'p': 67, 'prec': 20, 'unit': 25497791340350470371591767401197478, 'val': 1}
  • id: 239484
    {'lmfdb_iso': '6160.f', 'p': 71, 'prec': 20, 'unit': 56844297511104181413924206930253289, 'val': 1}
  • id: 239493
    {'lmfdb_iso': '6160.f', 'p': 73, 'prec': 20, 'unit': 122405840795670434409731285629741691, 'val': 1}
  • id: 239489
    {'lmfdb_iso': '6160.f', 'p': 79, 'prec': 20, 'unit': 49050892881493516562067995691589003, 'val': 1}
  • id: 239491
    {'lmfdb_iso': '6160.f', 'p': 83, 'prec': 20, 'unit': 1765965915222212249066843424962594981, 'val': 1}
  • id: 239495
    {'lmfdb_iso': '6160.f', 'p': 89, 'prec': 20, 'unit': 100585417191489752228080251642124603, 'val': 1}
  • id: 239481
    {'lmfdb_iso': '6160.f', 'p': 97, 'prec': 20, 'unit': 24169383048054362763507833275937435678, 'val': 1}