Elliptic curve data - 6006.p4

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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': '6006r', 'Clabel': '6006r1', 'Cnumber': 1, 'abc_quality': 0.8985256371012424, 'absD': 2472321852, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24024, 'ainvs': [1, 0, 1, 234, 1972], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6006, 'degree': 3456, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48727663145000932505508883168', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1425727406375, 2472321852], 'lmfdb_iso': '6006.p', 'lmfdb_label': '6006.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 234, 1972], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '168.48.0.?', '286.6.0.?', '858.48.0.?', '24024.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8436934125743991607783353682', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48727663145000932505508883168', 'prec': 103}, 'szpiro_ratio': 3.296022632399288, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 0, -1, 1, -1, 1, 0, 1, 1, 1, -1, 0, 1, -6, -1, -4, 0], 'aplist': [-1, 1, 0, 1, 1, 1, -6, -4, 0, 6, 2, -4, -6, -10, 12, 6, -6, -10, -10, -6, 2, -4, 0, -6, -16], 'class_deg': 6, 'class_size': 4, 'conductor': 6006, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '6006.p', 'trace_hash': 2183688819471653873}
• 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': '0.37736089702582865056177420819', 'prec': 103}, 'conductor': 6006, 'gens': [[7, 59, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8436934125743991607783353682', 'prec': 100}], 'lmfdb_label': '6006.p4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.99234100177017095723588973942', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6591451359822887411845249048534278066', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[35, 213, 1]], 'xcoord_integral_points': [-7, 2, 7, 20, 35, 68, 497]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [2, 0], '5': [1, 3, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [1, 0], '19': [3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6006.p4'}
• ec_torsion_growth •

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

  
  
  • id: 312922
    {'degree': 2, 'field': [36, -1, 1], 'lmfdb_label': '6006.p4', 'torsion': [2, 6]}
  • id: 312923
    {'degree': 4, 'field': [7, -98, -27, -2, 1], 'lmfdb_label': '6006.p4', 'torsion': [12]}
  • id: 312924
    {'degree': 6, 'field': [729, -1647, 3694, -7, -60, -1, 1], 'lmfdb_label': '6006.p4', 'torsion': [3, 6]}
  • id: 312925
    {'degree': 8, 'field': [142884, 0, 46089, 0, 3555, 0, -113, 0, 1], 'lmfdb_label': '6006.p4', 'torsion': [2, 12]}
  • id: 312926
    {'degree': 8, 'field': [469417, 498082, 213391, 48710, 7382, 470, -47, -2, 1], 'lmfdb_label': '6006.p4', 'torsion': [2, 12]}
  • id: 312927
    {'degree': 9, 'field': [-22543, -371655, -34137, -13962, 14913, -1152, -81, -36, 0, 1], 'lmfdb_label': '6006.p4', 'torsion': [18]}
  • id: 312928
    {'degree': 12, 'field': [219988224, 0, -16882560, 0, 10088496, 0, -179277, 0, 7087, 0, -71, 0, 1], 'lmfdb_label': '6006.p4', 'torsion': [6, 6]}
  • id: 312929
    {'degree': 16, 'field': [200983696, 3114939392, 5549230800, -476379392, -454237708, -275937696, 67459180, 53995400, 2814075, -1920220, -172322, 45720, 7529, -680, -90, -4, 1], 'lmfdb_label': '6006.p4', 'torsion': [24]}
  • id: 312930
    {'degree': 18, 'field': [47351679543, -201296176515, 585629734032, -359640990839, 203717815080, -58660734729, 11312606036, -3713358585, 1009207716, -155452319, 26274897, -3978432, 774232, -57432, 6720, -1402, 51, -3, 1], 'lmfdb_label': '6006.p4', 'torsion': [2, 18]}
• 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: 119226
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6006.p4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 119227
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6006.p4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 119228
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6006.p4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 119229
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6006.p4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 119230
    {'conductor': 6006, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6006.p4', 'prime': 13, '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: 1703321
    {'adelic_gens': [[19666, 3, 2157, 24016], [3433, 12, 20598, 73], [12013, 12, 6, 73], [9250, 3, 11061, 24016], [16025, 2, 4008, 1], [1, 0, 12, 1], [24013, 12, 24012, 13], [1, 6, 6, 37], [1011, 5008, 974, 4997], [1, 12, 0, 1], [11, 2, 23974, 24015]], 'adelic_image': '24024.96.1.?', 'conductor': 6006, 'lmfdb_label': '6006.p4', 'prime': 0}
  • id: 29566
    {'conductor': 6006, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6006.p4', 'modell_image': '2B', 'prime': 2}
  • id: 29567
    {'conductor': 6006, 'elladic_image': '3.8.0.1', 'lmfdb_label': '6006.p4', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 232033
    {'lmfdb_iso': '6006.p', 'p': 17, 'prec': 20, 'unit': 39444096681100558888557, 'val': 1}
  • id: 232034
    {'lmfdb_iso': '6006.p', 'p': 19, 'prec': 20, 'unit': 87072271278980608800777, 'val': 2}
  • id: 232031
    {'lmfdb_iso': '6006.p', 'p': 29, 'prec': 20, 'unit': 5518147370700937022633701920, 'val': 1}
  • id: 232041
    {'lmfdb_iso': '6006.p', 'p': 31, 'prec': 20, 'unit': 2953580881991066422329124042, 'val': 1}
  • id: 232027
    {'lmfdb_iso': '6006.p', 'p': 37, 'prec': 20, 'unit': 271173357446206549228729406925, 'val': 1}
  • id: 232029
    {'lmfdb_iso': '6006.p', 'p': 41, 'prec': 20, 'unit': 3582705629178627338460084580924, 'val': 1}
  • id: 232030
    {'lmfdb_iso': '6006.p', 'p': 43, 'prec': 20, 'unit': 2215500881331151392058535566925, 'val': 1}
  • id: 232039
    {'lmfdb_iso': '6006.p', 'p': 47, 'prec': 20, 'unit': 55013800681595152065509491047755, 'val': 1}
  • id: 232035
    {'lmfdb_iso': '6006.p', 'p': 53, 'prec': 20, 'unit': 137788807983590651060583239451645, 'val': 1}
  • id: 232036
    {'lmfdb_iso': '6006.p', 'p': 59, 'prec': 20, 'unit': 206529688867579790081557977694938, 'val': 1}
  • id: 232040
    {'lmfdb_iso': '6006.p', 'p': 61, 'prec': 20, 'unit': 7699807959669176660372812175573654, 'val': 1}
  • id: 232026
    {'lmfdb_iso': '6006.p', 'p': 67, 'prec': 20, 'unit': 12595722179666608352941700454425495, 'val': 1}
  • id: 232028
    {'lmfdb_iso': '6006.p', 'p': 71, 'prec': 20, 'unit': 51016213035833754816336015462436170, 'val': 1}
  • id: 232037
    {'lmfdb_iso': '6006.p', 'p': 73, 'prec': 20, 'unit': 16339787937702594967594233423794995, 'val': 1}
  • id: 232032
    {'lmfdb_iso': '6006.p', 'p': 79, 'prec': 20, 'unit': 463917952266836428460358937137817712, 'val': 1}
  • id: 232038
    {'lmfdb_iso': '6006.p', 'p': 89, 'prec': 20, 'unit': 4267663392902966475806344243674667836, 'val': 1}
  • id: 232025
    {'lmfdb_iso': '6006.p', 'p': 97, 'prec': 20, 'unit': 49908009516484079441505882210358324446, 'val': 1}