Elliptic curve data - 6660.f1

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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': '6660d', 'Clabel': '6660d1', 'Cnumber': 1, 'abc_quality': 1.0028616996197188, 'absD': 1769698530000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 888, 'ainvs': [0, 0, 0, -69132, 6995981], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6660, 'degree': 21504, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4228328406245058002868839549', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [3132662187311104, 151723125], 'lmfdb_iso': '6660.f', 'lmfdb_label': '6660.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7681, -256550], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '24.12.0-4.b.1.4', '74.6.0.?', '148.24.0.?', '888.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 333], [3, 8, 740], [5, 6, 1332], [37, 38, 180]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64247763610380251811685062929', 'prec': 103}, 'szpiro_ratio': 5.11648827830451, '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, 0, 0, 0, 1, 0, 4, 0, 0, 0, 4, 0, 2, 0, 0, 0, -2, 0, -2, 0], 'aplist': [0, 0, 1, 4, 4, 2, -2, -2, -6, 6, 10, -1, 2, -2, 4, -10, 10, 2, 4, -12, -2, 6, 0, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 6660, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6660.f', 'trace_hash': 1364767521645642581}
• 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': '0.058095580726233246240034260128', 'prec': 107}, 'conductor': 6660, 'gens': [], 'heights': [], 'lmfdb_label': '6660.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.78926356022446298462268083458', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1570542408978519384907233383062541134', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[151, 0, 1]], 'xcoord_integral_points': [151]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '37': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '6660.f1'}
• ec_torsion_growth •

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

  
  
  • id: 348376
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '6660.f1', 'torsion': [2, 2]}
  • id: 348377
    {'degree': 4, 'field': [85, 14, -16, -2, 1], 'lmfdb_label': '6660.f1', 'torsion': [4]}
  • id: 348378
    {'degree': 8, 'field': [-1188, -3312, -312, -912, -344, -64, -48, -4, 1], 'lmfdb_label': '6660.f1', 'torsion': [2, 4]}
  • id: 348380
    {'degree': 8, 'field': [-1040, -640, 520, 239, -116, -7, 7, -4, 1], 'lmfdb_label': '6660.f1', 'torsion': [6]}
  • id: 348379
    {'degree': 8, 'field': [441, -1008, 1152, 378, 7, 62, 2, -2, 1], 'lmfdb_label': '6660.f1', 'torsion': [2, 4]}
  • id: 348382
    {'degree': 16, 'field': [93529, -216336, 195608, -74824, 83388, -95856, 52968, -17944, -6738, 7248, 1480, -1752, -52, 176, -8, -8, 1], 'lmfdb_label': '6660.f1', 'torsion': [8]}
  • id: 348383
    {'degree': 16, 'field': [5244100, 0, -25289477, 0, 27301090, 0, -12134939, 0, 1043107, 0, -47375, 0, 2155, 0, -74, 0, 1], 'lmfdb_label': '6660.f1', 'torsion': [2, 6]}
  • id: 348381
    {'degree': 16, 'field': [5764801, -3294172, 941192, -638666, 1092455, -360836, 63210, 11256, -25367, 1608, 1290, -1052, 455, -38, 8, -4, 1], 'lmfdb_label': '6660.f1', 'torsion': [4, 4]}
• 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: 134996
    {'conductor': 6660, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '6660.f1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 134997
    {'conductor': 6660, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '6660.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 134998
    {'conductor': 6660, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6660.f1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 134999
    {'conductor': 6660, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6660.f1', 'prime': 37, '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: 1707885
    {'adelic_gens': [[1, 0, 8, 1], [673, 6, 882, 883], [295, 0, 0, 887], [1, 8, 0, 1], [16, 3, 861, 298], [1, 4, 4, 17], [881, 8, 880, 9], [445, 600, 0, 1], [3, 8, 28, 75], [5, 8, 48, 77]], 'adelic_image': '888.48.0.?', 'conductor': 6660, 'lmfdb_label': '6660.f1', 'prime': 0}
  • id: 32877
    {'conductor': 6660, 'elladic_image': '4.6.0.3', 'lmfdb_label': '6660.f1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6660.f does not appear in ec_padic