Elliptic curve data - 6336.i1

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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': '6336cm', 'Clabel': '6336cm2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 15897378816, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 264, 'ainvs': [0, 0, 0, -2784, -56864], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 6336, 'degree': 5760, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79289205315591453830038195072', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '6336.i', 'lmfdb_label': '6336.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '24.8.0-3.a.1.4', '66.8.0.a.1', '264.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 6, 64], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56508580183140983505067814278', 'prec': 107}, 'szpiro_ratio': 4.046146804908434, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, -2, 0, 0, 0, 1, 0, 4, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, -3, -2, 1, 4, -6, 8, -3, 0, -5, 1, 0, -10, 0, -6, -3, 4, -1, 15, -4, -2, -6, 9, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 6336, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '6336.i', 'trace_hash': 219514740575838784}
• 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': '0.20478715524543372975629855736', 'prec': 103}, 'conductor': 6336, 'gens': [], 'heights': [], 'lmfdb_label': '6336.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32849547133044552323489379726', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.98548641399133656970468139176972447837', 'prec': 133}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [1, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '6336.i1'}
• ec_torsion_growth •

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

  
  
  • id: 331146
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '6336.i1', 'torsion': [3]}
  • id: 331147
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '6336.i1', 'torsion': [2]}
  • id: 331149
    {'degree': 6, 'field': [-6, 0, 12, 0, -6, 0, 1], 'lmfdb_label': '6336.i1', 'torsion': [3]}
  • id: 331148
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '6336.i1', 'torsion': [2, 2]}
  • id: 331150
    {'degree': 6, 'field': [2, 0, 0, 0, -2, 0, 1], 'lmfdb_label': '6336.i1', 'torsion': [6]}
  • id: 331152
    {'degree': 12, 'field': [4, 0, -24, 0, 60, 0, -44, 0, 0, 0, 6, 0, 1], 'lmfdb_label': '6336.i1', 'torsion': [3, 3]}
  • id: 331153
    {'degree': 12, 'field': [4, 0, -16, 0, 20, 0, -4, 0, 4, 0, 2, 0, 1], 'lmfdb_label': '6336.i1', 'torsion': [2, 6]}
  • id: 331151
    {'degree': 12, 'field': [4999, 340, -9798, 8060, 2379, -2616, 706, 180, -177, 40, 4, -4, 1], 'lmfdb_label': '6336.i1', 'torsion': [4]}
  • id: 331155
    {'degree': 18, 'field': [-216, 0, 0, 0, 648, 0, 540, 0, -72, 0, -72, 0, 6, 0, 12, 0, -6, 0, 1], 'lmfdb_label': '6336.i1', 'torsion': [6]}
  • id: 331154
    {'degree': 18, 'field': [133128, 0, 342576, 0, 292536, 0, 400008, 0, 199584, 0, 42504, 0, 5594, 0, 504, 0, 24, 0, 1], 'lmfdb_label': '6336.i1', 'torsion': [9]}
• 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: 127143
    {'conductor': 6336, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '6336.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 127144
    {'conductor': 6336, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6336.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 127145
    {'conductor': 6336, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6336.i1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1705576
    {'adelic_gens': [[131, 0, 0, 263], [4, 3, 9, 7], [259, 6, 258, 7], [14, 57, 43, 7], [61, 6, 60, 7], [67, 0, 0, 1], [251, 258, 225, 245], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '264.16.0.?', 'conductor': 6336, 'lmfdb_label': '6336.i1', 'prime': 0}
  • id: 31206
    {'conductor': 6336, 'elladic_image': '3.4.0.1', 'lmfdb_label': '6336.i1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 6336.i does not appear in ec_padic