Elliptic curve data - 111600.gn2

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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': '111600eh', 'Clabel': '111600eh1', 'Cnumber': 1, 'abc_quality': 1.0471286196381777, 'absD': 21838942332518400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1240, 'ainvs': [0, 0, 0, -49131075, 132741405250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 111600, 'degree': 9584640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1823220300286409657771147876', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 169, 'isogeny_degrees': [1, 2], 'jinv': [-281115640967896441, 468084326400], 'lmfdb_iso': '111600.gn', 'lmfdb_label': '111600.gn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13648, 613406], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '62.6.0.b.1', '1240.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.4667391299546734598283232534', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1351497489175906233618803811', 'prec': 100}, 'szpiro_ratio': 5.57070344277224, '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, 0, 0, 4, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 0, 4, 2, -2, 0, 0, 6, 0, -1, 2, 10, -4, -4, 6, -4, 0, 4, -16, -4, -4, -8, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 111600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '111600.gn', 'trace_hash': 268574967236618534}
• 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': '0.0017213540490308687393423324446', 'prec': 110}, 'conductor': 111600, 'gens': [[577970, 150869250, 13]], 'heights': [{'__RealLiteral__': 0, 'data': '9.4667391299546734598283232534', 'prec': 100}], 'lmfdb_label': '111600.gn2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12075720476480956367290730740', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.1454156445677730970219727401477573849', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-8095, 0, 1]], 'xcoord_integral_points': [-8095]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 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': '111600.gn2'}
• ec_torsion_growth •

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

  
  
  • id: 5136478
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '111600.gn2', 'torsion': [2, 2]}
  • id: 5136479
    {'degree': 4, 'field': [-279, 0, -18, 0, 1], 'lmfdb_label': '111600.gn2', 'torsion': [4]}
  • id: 5136482
    {'degree': 8, 'field': [-6075, 0, -2760, 0, -270, 0, 0, 0, 1], 'lmfdb_label': '111600.gn2', 'torsion': [6]}
  • id: 5136481
    {'degree': 8, 'field': [10000, 0, 5360, 0, 1041, 0, -58, 0, 1], 'lmfdb_label': '111600.gn2', 'torsion': [2, 4]}
  • id: 5136480
    {'degree': 8, 'field': [820615, -114580, -67111, 4430, 3076, 4, -79, -2, 1], 'lmfdb_label': '111600.gn2', 'torsion': [2, 4]}
  • id: 5136483
    {'degree': 16, 'field': [-63191400, -38673600, 86816800, -25616400, -13677820, 8430560, -986580, -1026560, 273321, 57720, -27456, 1600, 2226, -40, -76, 0, 1], 'lmfdb_label': '111600.gn2', 'torsion': [8]}
  • id: 5136484
    {'degree': 16, 'field': [4784176, 7411904, 8697728, -53290752, 80782136, -69077336, 29974540, -6146856, 1784389, -179952, 51760, -9808, 2666, -504, 92, -8, 1], 'lmfdb_label': '111600.gn2', '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: 2745299
    {'conductor': 111600, 'conductor_valuation': 4, 'discriminant_valuation': 38, 'j_denominator_valuation': 26, 'kodaira_symbol': -34, 'lmfdb_label': '111600.gn2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2745300
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '111600.gn2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2745301
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '111600.gn2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2745302
    {'conductor': 111600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '111600.gn2', 'prime': 31, '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: 2395208
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1122, 1, 679, 0], [1, 2, 2, 5], [1, 4, 0, 1], [497, 4, 994, 9], [621, 4, 2, 9], [777, 466, 464, 775], [1237, 4, 1236, 5]], 'adelic_image': '1240.12.0.?', 'conductor': 111600, 'lmfdb_label': '111600.gn2', 'prime': 0}
  • id: 442719
    {'conductor': 111600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '111600.gn2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5827621
    {'lmfdb_iso': '111600.gn', 'p': 7, 'prec': 20, 'unit': 283056527460108, 'val': 2}
  • id: 5827619
    {'lmfdb_iso': '111600.gn', 'p': 11, 'prec': 20, 'unit': 47474677810406973254, 'val': 1}
  • id: 5827624
    {'lmfdb_iso': '111600.gn', 'p': 13, 'prec': 20, 'unit': 84180866950379384912, 'val': 1}
  • id: 5827630
    {'lmfdb_iso': '111600.gn', 'p': 23, 'prec': 20, 'unit': 28106246126609944698015039, 'val': 1}
  • id: 5827620
    {'lmfdb_iso': '111600.gn', 'p': 37, 'prec': 20, 'unit': 524296900086026181561819016845, 'val': 1}
  • id: 5827622
    {'lmfdb_iso': '111600.gn', 'p': 41, 'prec': 20, 'unit': 279541789370082400828637615781, 'val': 1}
  • id: 5827623
    {'lmfdb_iso': '111600.gn', 'p': 43, 'prec': 20, 'unit': 7372524447323016446865247395816, 'val': 1}
  • id: 5827633
    {'lmfdb_iso': '111600.gn', 'p': 47, 'prec': 20, 'unit': 40573618481330132189353401023712, 'val': 1}
  • id: 5827628
    {'lmfdb_iso': '111600.gn', 'p': 53, 'prec': 20, 'unit': 50798623063766667188831553492635, 'val': 1}
  • id: 5827626
    {'lmfdb_iso': '111600.gn', 'p': 59, 'prec': 20, 'unit': 3497727689942910822705485101212704, 'val': 1}
  • id: 5827618
    {'lmfdb_iso': '111600.gn', 'p': 67, 'prec': 20, 'unit': 10749450301181846254265259928350452, 'val': 1}
  • id: 5827632
    {'lmfdb_iso': '111600.gn', 'p': 71, 'prec': 20, 'unit': 23313109788101753276477209252779640, 'val': 1}
  • id: 5827629
    {'lmfdb_iso': '111600.gn', 'p': 73, 'prec': 20, 'unit': 154957481990585513778008472082323500, 'val': 1}
  • id: 5827625
    {'lmfdb_iso': '111600.gn', 'p': 79, 'prec': 20, 'unit': 897837109236618758029876427787374623, 'val': 1}
  • id: 5827627
    {'lmfdb_iso': '111600.gn', 'p': 83, 'prec': 20, 'unit': 1230123232464242668095375615812876719, 'val': 1}
  • id: 5827631
    {'lmfdb_iso': '111600.gn', 'p': 89, 'prec': 20, 'unit': 3294017396478304394607556396968373899, 'val': 1}
  • id: 5827617
    {'lmfdb_iso': '111600.gn', 'p': 97, 'prec': 20, 'unit': 52562101656048005393205705144981933832, 'val': 1}