Elliptic curve data - 20160.cv2

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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': '20160s', 'Clabel': '20160s2', 'Cnumber': 2, 'abc_quality': 1.1038759097637456, 'absD': 4664032767092824473600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, -1845612, -3424577616], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 20160, 'degree': 1290240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8412063365183820366290808921', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2], 'jinv': [-134745327251163, 903920796800], 'lmfdb_iso': '20160.cv', 'lmfdb_label': '20160.cv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3204, 248528], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '280.6.0.?', '420.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 2, 2240], [5, 6, 576], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97752634917738180395679878222', 'prec': 103}, 'szpiro_ratio': 5.794470065943591, '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, -1, 0, 0, 0, -4, 0, -6, 0, 0, 0, -4, 0, -6, 0], 'aplist': [0, 0, 1, -1, -4, -6, -4, -6, 0, -6, -4, -8, -10, 2, -10, 14, -4, 8, -6, 2, -10, 16, -8, -2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 20160, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '20160.cv', 'trace_hash': 909321243325100189}
• 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': '0.0034053325701411608025551634021', 'prec': 110}, 'conductor': 20160, 'gens': [], 'heights': [], 'lmfdb_label': '20160.cv2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.057600053676893732049072992273', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '0.23040021470757492819629196908966211390', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[1908, 0, 1]], 'xcoord_integral_points': [1908]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '20160.cv2'}
• ec_torsion_growth •

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

  
  
  • id: 1026869
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '20160.cv2', 'torsion': [2, 2]}
  • id: 1026870
    {'degree': 4, 'field': [-24, 0, -3, 0, 1], 'lmfdb_label': '20160.cv2', 'torsion': [4]}
  • id: 1026873
    {'degree': 8, 'field': [-768, 0, -288, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '20160.cv2', 'torsion': [6]}
  • id: 1026872
    {'degree': 8, 'field': [100, 0, 64, 0, 18, 0, -8, 0, 1], 'lmfdb_label': '20160.cv2', 'torsion': [2, 4]}
  • id: 1026871
    {'degree': 8, 'field': [900, 0, 3060, 0, 141, 0, 18, 0, 1], 'lmfdb_label': '20160.cv2', 'torsion': [2, 4]}
  • id: 1026875
    {'degree': 16, 'field': [64, 0, 760, 0, 2452, 0, 616, 0, 1720, 0, 4, 0, 40, 0, 22, 0, 1], 'lmfdb_label': '20160.cv2', 'torsion': [2, 6]}
  • id: 1026874
    {'degree': 16, 'field': [570025, 0, 1907600, 0, -6692110, 0, -533320, 0, 62866, 0, 25336, 0, -2014, 0, 16, 0, 1], 'lmfdb_label': '20160.cv2', 'torsion': [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: 456431
    {'conductor': 20160, 'conductor_valuation': 6, 'discriminant_valuation': 25, 'j_denominator_valuation': 7, 'kodaira_symbol': -19, 'lmfdb_label': '20160.cv2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 456432
    {'conductor': 20160, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '20160.cv2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 456433
    {'conductor': 20160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '20160.cv2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 456434
    {'conductor': 20160, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '20160.cv2', 'prime': 7, '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: 1798673
    {'adelic_gens': [[837, 4, 836, 5], [284, 1, 559, 0], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [241, 4, 482, 9], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 20160, 'lmfdb_label': '20160.cv2', 'prime': 0}
  • id: 93866
    {'conductor': 20160, 'elladic_image': '2.3.0.1', 'lmfdb_label': '20160.cv2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 20160.cv does not appear in ec_padic