Elliptic curve data - 33600.gq2

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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': '33600hj', 'Clabel': '33600hj2', 'Cnumber': 2, 'abc_quality': 1.0708823261718445, 'absD': 8674025472000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 1, 0, 511167, -16905537], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 33600, 'degree': 737280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3232967777659173445274517909', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2], 'jinv': [28849701763, 16941456], 'lmfdb_iso': '33600.gq', 'lmfdb_label': '33600.gq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 320, 400], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '84.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1910814645304519879421425471', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.076497572600424099451034108795', 'prec': 107}, 'szpiro_ratio': 4.897867775768565, '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, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, -6, 0, 0, 0, 4, 0, -6, 0], 'aplist': [0, 1, 0, 1, 2, -6, 4, -6, 8, -6, 2, -4, 2, 4, -8, -6, -8, 10, 8, 6, -14, 12, -8, -10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 33600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '33600.gq', 'trace_hash': 662106234333216561}
• 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': '0.0095942285353557947845910928413', 'prec': 110}, 'conductor': 33600, 'gens': [[47, 2688, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1910814645304519879421425471', 'prec': 100}], 'lmfdb_label': '33600.gq2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13633091397567185546814227036', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.1690913277101636911783503448233333106', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[33, 0, 1]], 'xcoord_integral_points': [33, 47, 36783]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '33600.gq2'}
• ec_torsion_growth •

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

  
  
  • id: 1673106
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '33600.gq2', 'torsion': [2, 2]}
  • id: 1673107
    {'degree': 4, 'field': [-20, 0, 40, 0, 1], 'lmfdb_label': '33600.gq2', 'torsion': [4]}
  • id: 1673110
    {'degree': 8, 'field': [-1200, 0, 50, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '33600.gq2', 'torsion': [6]}
  • id: 1673109
    {'degree': 8, 'field': [161, 308, 886, 184, -56, 32, 14, -4, 1], 'lmfdb_label': '33600.gq2', 'torsion': [2, 4]}
  • id: 1673108
    {'degree': 8, 'field': [52900, 0, -9700, 0, 885, 0, -40, 0, 1], 'lmfdb_label': '33600.gq2', 'torsion': [2, 4]}
  • id: 1673111
    {'degree': 16, 'field': [264096, 32256, 1545936, -3849216, 1821016, 908512, -368332, -168168, 103162, -27316, -12023, 1886, 61, 168, -61, -2, 1], 'lmfdb_label': '33600.gq2', 'torsion': [8]}
  • id: 1673112
    {'degree': 16, 'field': [1454436, 0, 336636, 0, -409131, 0, 56882, 0, 9059, 0, -556, 0, -89, 0, -2, 0, 1], 'lmfdb_label': '33600.gq2', 'torsion': [2, 6]}
• 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: 788685
    {'conductor': 33600, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '33600.gq2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 788686
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33600.gq2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 788687
    {'conductor': 33600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '33600.gq2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 788688
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '33600.gq2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1888747
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [316, 109, 105, 316], [1, 2, 2, 5], [281, 4, 142, 9], [1, 4, 0, 1], [417, 4, 416, 5], [88, 1, 83, 0], [241, 4, 62, 9]], 'adelic_image': '420.12.0.?', 'conductor': 33600, 'lmfdb_label': '33600.gq2', 'prime': 0}
  • id: 150000
    {'conductor': 33600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '33600.gq2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1642086
    {'lmfdb_iso': '33600.gq', 'p': 11, 'prec': 20, 'unit': 27331257096252973276, 'val': 1}
  • id: 1642092
    {'lmfdb_iso': '33600.gq', 'p': 13, 'prec': 20, 'unit': 62741216143627956329, 'val': 2}
  • id: 1642094
    {'lmfdb_iso': '33600.gq', 'p': 17, 'prec': 20, 'unit': 62450858947510687870780, 'val': 1}
  • id: 1642095
    {'lmfdb_iso': '33600.gq', 'p': 19, 'prec': 20, 'unit': 28434454142233860982382, 'val': 2}
  • id: 1642099
    {'lmfdb_iso': '33600.gq', 'p': 23, 'prec': 20, 'unit': 29427846313367825542501177, 'val': 1}
  • id: 1642091
    {'lmfdb_iso': '33600.gq', 'p': 29, 'prec': 20, 'unit': 6087541620058882260297659757, 'val': 1}
  • id: 1642104
    {'lmfdb_iso': '33600.gq', 'p': 31, 'prec': 20, 'unit': 4184351523746652916730021859, 'val': 1}
  • id: 1642087
    {'lmfdb_iso': '33600.gq', 'p': 37, 'prec': 20, 'unit': 30330281906220254033355738425, 'val': 1}
  • id: 1642089
    {'lmfdb_iso': '33600.gq', 'p': 41, 'prec': 20, 'unit': 578930261694915471607034602238, 'val': 1}
  • id: 1642090
    {'lmfdb_iso': '33600.gq', 'p': 43, 'prec': 20, 'unit': 7071154335378727863751896891867, 'val': 1}
  • id: 1642101
    {'lmfdb_iso': '33600.gq', 'p': 47, 'prec': 20, 'unit': 28223429154194191335688163844400, 'val': 1}
  • id: 1642096
    {'lmfdb_iso': '33600.gq', 'p': 53, 'prec': 20, 'unit': 351937205866189006274474332287902, 'val': 1}
  • id: 1642097
    {'lmfdb_iso': '33600.gq', 'p': 59, 'prec': 20, 'unit': 111287623376452011556402865570152, 'val': 1}
  • id: 1642102
    {'lmfdb_iso': '33600.gq', 'p': 61, 'prec': 20, 'unit': 4878872671313283382171063262992458, 'val': 1}
  • id: 1642085
    {'lmfdb_iso': '33600.gq', 'p': 67, 'prec': 20, 'unit': 36022003789798652197624301856894777, 'val': 1}
  • id: 1642088
    {'lmfdb_iso': '33600.gq', 'p': 71, 'prec': 20, 'unit': 83025525892653236972082335070804476, 'val': 1}
  • id: 1642098
    {'lmfdb_iso': '33600.gq', 'p': 73, 'prec': 20, 'unit': 103974055077135592415356743074078893, 'val': 1}
  • id: 1642093
    {'lmfdb_iso': '33600.gq', 'p': 79, 'prec': 20, 'unit': 343394545133954970514871376004980075, 'val': 1}
  • id: 1642103
    {'lmfdb_iso': '33600.gq', 'p': 83, 'prec': 20, 'unit': 2718844245744832231647111437746721804, 'val': 1}
  • id: 1642100
    {'lmfdb_iso': '33600.gq', 'p': 89, 'prec': 20, 'unit': 4021151097922798443956016352559933163, 'val': 1}
  • id: 1642084
    {'lmfdb_iso': '33600.gq', 'p': 97, 'prec': 20, 'unit': 1855641947466776584312092078815968835, 'val': 1}