Elliptic curve data - 6336.br1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6336y', 'Clabel': '6336y3', 'Cnumber': 3, 'abc_quality': 1.0929566831983986, 'absD': 513216, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 6600, 'ainvs': [0, 0, 0, -281532, 57496282], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 6336, 'degree': 12000, 'elladic_images': ['25.60.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3925888497126746230176040843', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'intrinsic_torsion': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 5, 25], 'jinv': [-52893159101157376, 11], 'lmfdb_iso': '6336.br', 'lmfdb_label': '6336.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7820, -263580], 'min_quad_twist_disc': -24, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '22.2.0.a.1', '25.60.0.a.2', '110.24.1.?', '120.24.0.?', '275.300.12.?', '550.600.37.?', '600.120.0.?', '1320.48.1.?', '6600.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3812291923370327801000768437', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 6, 704], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540511', 'prec': 103}, 'szpiro_ratio': 5.626866657167224, '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, 1, 0, -2, 0, 0, 0, 1, 0, -4, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 1, -2, 1, -4, 2, 0, 1, 0, 7, -3, 8, 6, -8, -6, 5, -12, 7, 3, 4, -10, -6, -15, -7], 'class_deg': 25, 'class_size': 3, 'conductor': 6336, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '6336.br', 'trace_hash': 2067410791502634155}
• 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': '0.061718120781865310590266890394', 'prec': 107}, 'conductor': 6336, 'gens': [[7659, 77, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3812291923370327801000768437', 'prec': 100}], 'lmfdb_label': '6336.br1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1911187799308335776114793979', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0274455902430043073432322308337523381', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [3, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6336.br1'}
• ec_torsion_growth •

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

  
  
  • id: 330138
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '6336.br1', 'torsion': [2]}
  • id: 330139
    {'degree': 4, 'field': [180, 0, -30, 0, 1], 'lmfdb_label': '6336.br1', 'torsion': [5]}
  • id: 330140
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '6336.br1', 'torsion': [2, 2]}
  • id: 330141
    {'degree': 8, 'field': [-48, 0, 0, 0, 24, 0, -10, 0, 1], 'lmfdb_label': '6336.br1', 'torsion': [3]}
  • id: 330142
    {'degree': 10, 'field': [7897, -3960, 6480, 1320, 2160, -22, 360, 0, 30, 0, 1], 'lmfdb_label': '6336.br1', 'torsion': [5]}
  • id: 330143
    {'degree': 12, 'field': [4999, 340, -9798, 8060, 2379, -2616, 706, 180, -177, 40, 4, -4, 1], 'lmfdb_label': '6336.br1', 'torsion': [4]}
  • id: 330144
    {'degree': 12, 'field': [364500, 0, 0, 0, -24300, 0, -2700, 0, 180, 0, 30, 0, 1], 'lmfdb_label': '6336.br1', 'torsion': [10]}
  • id: 330145
    {'degree': 20, 'field': [6870657751, -135909802490, -245137866775, 248291827740, 372554904425, -98428249348, -177663506935, 8067186600, 33676569610, 48037550, -3120483351, -14479080, 150501775, 234630, -3884800, -902, 53570, 0, -370, 0, 1], 'lmfdb_label': '6336.br1', 'torsion': [25]}
• 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: 126840
    {'conductor': 6336, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '6336.br1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 126841
    {'conductor': 6336, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6336.br1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 126842
    {'conductor': 6336, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6336.br1', 'prime': 11, '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: 1705505
    {'adelic_gens': [[6551, 50, 6550, 51], [2189, 4380, 1935, 4109], [2162, 4359, 4209, 1661], [4951, 0, 0, 1], [38, 41, 4041, 3839], [2701, 2250, 2700, 2251], [4399, 0, 0, 6599], [3299, 0, 0, 6599], [4840, 9, 4527, 2413], [1, 50, 0, 1], [1, 0, 50, 1]], 'adelic_image': '6600.1200.37.?', 'conductor': 6336, 'lmfdb_label': '6336.br1', 'prime': 0}
  • id: 31126
    {'conductor': 6336, 'elladic_image': '25.60.0.2', 'lmfdb_label': '6336.br1', 'modell_image': '5B.4.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 248183
    {'lmfdb_iso': '6336.br', 'p': 5, 'prec': 20, 'unit': 14906367369778, 'val': 1}
  • id: 248184
    {'lmfdb_iso': '6336.br', 'p': 7, 'prec': 20, 'unit': 650512614557773, 'val': 2}
  • id: 248188
    {'lmfdb_iso': '6336.br', 'p': 13, 'prec': 20, 'unit': 434988368144830591407, 'val': 1}
  • id: 248190
    {'lmfdb_iso': '6336.br', 'p': 17, 'prec': 20, 'unit': 37984418987454948657091, 'val': 1}
  • id: 248195
    {'lmfdb_iso': '6336.br', 'p': 23, 'prec': 20, 'unit': 1390560842057097328820599734, 'val': -1}
  • id: 248185
    {'lmfdb_iso': '6336.br', 'p': 31, 'prec': 20, 'unit': 2630970321693346434353508517, 'val': 1}
  • id: 248200
    {'lmfdb_iso': '6336.br', 'p': 37, 'prec': 20, 'unit': 492458546146866603920265993093, 'val': 1}
  • id: 248186
    {'lmfdb_iso': '6336.br', 'p': 41, 'prec': 20, 'unit': 3672737164004786720628277566142, 'val': 1}
  • id: 248187
    {'lmfdb_iso': '6336.br', 'p': 43, 'prec': 20, 'unit': 9137957258451910406715566988763, 'val': 1}
  • id: 248198
    {'lmfdb_iso': '6336.br', 'p': 47, 'prec': 20, 'unit': 58655798416408991171263760741444, 'val': 1}
  • id: 248192
    {'lmfdb_iso': '6336.br', 'p': 53, 'prec': 20, 'unit': 497242788174974090138773984433056, 'val': 1}
  • id: 248193
    {'lmfdb_iso': '6336.br', 'p': 59, 'prec': 20, 'unit': 414323310576819965390038110826690, 'val': 1}
  • id: 248199
    {'lmfdb_iso': '6336.br', 'p': 61, 'prec': 20, 'unit': 7559887508246772192737755259294274, 'val': 1}
  • id: 248182
    {'lmfdb_iso': '6336.br', 'p': 67, 'prec': 20, 'unit': 40771963770756072342791843345640774, 'val': 1}
  • id: 248197
    {'lmfdb_iso': '6336.br', 'p': 71, 'prec': 20, 'unit': 131603183755688736304783049045296220, 'val': 1}
  • id: 248194
    {'lmfdb_iso': '6336.br', 'p': 73, 'prec': 20, 'unit': 87077113979410295426363239072042458, 'val': 1}
  • id: 248189
    {'lmfdb_iso': '6336.br', 'p': 79, 'prec': 20, 'unit': 882135156747278151925895583146303506, 'val': 1}
  • id: 248191
    {'lmfdb_iso': '6336.br', 'p': 83, 'prec': 20, 'unit': 1010483229903260343965872068175959636, 'val': 1}
  • id: 248196
    {'lmfdb_iso': '6336.br', 'p': 89, 'prec': 20, 'unit': 659891325430219017900929856751001112, 'val': 1}
  • id: 248181
    {'lmfdb_iso': '6336.br', 'p': 97, 'prec': 20, 'unit': 38602030415984461127828287494834218505, 'val': 1}