Elliptic curve data - 111600.eq1

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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': '111600cv', 'Clabel': '111600cv1', 'Cnumber': 1, 'abc_quality': 1.1070685424336508, 'absD': 79153876684800, 'adelic_genus': 5, 'adelic_index': 120, 'adelic_level': 930, 'ainvs': [0, 0, 0, -45600, 3723440], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 111600, 'degree': 345600, 'elladic_images': ['5.30.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4967587053844356300637552911', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 120, 'isogeny_degrees': [1], 'jinv': [3792752640000, 28629151], 'lmfdb_iso': '111600.eq', 'lmfdb_label': '111600.eq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -2850, -58179], 'min_quad_twist_disc': -4, 'modell_images': ['5Ns.2.1'], 'modm_images': ['5.30.0.b.1', '15.60.0.b.1', '186.2.0.?', '310.60.2.?', '930.120.5.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2625196262606974986655510819', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2325], [3, 6, 12400], [5, 10, 144], [31, 32, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26071880058511283536425197154', 'prec': 103}, 'szpiro_ratio': 3.768201985477259, '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, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 1, 0], 'aplist': [0, 0, 0, 0, 5, 0, 5, 1, -5, -5, 1, -10, 0, -10, 0, 5, -10, 12, -5, 0, 0, 4, 15, -15, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 111600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '111600.eq', 'trace_hash': 666593468138392697}
• 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': '0.050110865870278974497519168228', 'prec': 107}, 'conductor': 111600, 'gens': [[409, 2883, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2625196262606974986655510819', 'prec': 100}], 'lmfdb_label': '111600.eq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.61324768076655527128524398169', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7423723272663089084966610976570277539', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 1, 0], '11': [3, 0], '13': [3, 3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [2, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '111600.eq1'}
• ec_torsion_growth •

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

  
  
  • id: 5136044
    {'degree': 3, 'field': [7, -13, -1, 1], 'lmfdb_label': '111600.eq1', 'torsion': [2]}
  • id: 5136045
    {'degree': 6, 'field': [-2289, -603, 556, 93, -44, -3, 1], 'lmfdb_label': '111600.eq1', 'torsion': [2, 2]}
  • id: 5136046
    {'degree': 8, 'field': [-675, 0, 1905, 0, 480, 0, 45, 0, 1], 'lmfdb_label': '111600.eq1', 'torsion': [3]}
  • id: 5136047
    {'degree': 8, 'field': [45, 0, 45, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '111600.eq1', 'torsion': [5]}
  • id: 5136048
    {'degree': 12, 'field': [334800, 0, -1360800, 0, -486000, 0, -37800, 0, -1800, 0, 0, 0, 1], 'lmfdb_label': '111600.eq1', 'torsion': [4]}
  • id: 5136049
    {'degree': 16, 'field': [2025, 0, 4050, 0, 7425, 0, 6075, 0, 2790, 0, 765, 0, 135, 0, 15, 0, 1], 'lmfdb_label': '111600.eq1', 'torsion': [5, 5]}
• 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: 2745059
    {'conductor': 111600, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '111600.eq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2745060
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '111600.eq1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2745061
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '111600.eq1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2745062
    {'conductor': 111600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '111600.eq1', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

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

  
  
  • id: 2395129
    {'adelic_gens': [[3, 10, 631, 37], [921, 10, 920, 11], [871, 10, 635, 51], [1, 0, 10, 1], [4, 5, 15, 19], [1, 10, 0, 1], [1, 289, 93, 94]], 'adelic_image': '930.120.5.?', 'conductor': 111600, 'lmfdb_label': '111600.eq1', 'prime': 0}
  • id: 442665
    {'conductor': 111600, 'elladic_image': '5.30.0.2', 'lmfdb_label': '111600.eq1', 'modell_image': '5Ns.2.1', 'prime': 5}
• ec_padic •

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

  
  
  • id: 5826984
    {'lmfdb_iso': '111600.eq', 'p': 11, 'prec': 20, 'unit': 4783393106781268040, 'val': 2}
  • id: 5826983
    {'lmfdb_iso': '111600.eq', 'p': 17, 'prec': 20, 'unit': 18067956227861217995182, 'val': 1}
  • id: 5826988
    {'lmfdb_iso': '111600.eq', 'p': 19, 'prec': 20, 'unit': 27396963227029617919477786, 'val': -1}
  • id: 5826990
    {'lmfdb_iso': '111600.eq', 'p': 23, 'prec': 20, 'unit': 28286215282839599145745781, 'val': 1}
  • id: 5826985
    {'lmfdb_iso': '111600.eq', 'p': 29, 'prec': 20, 'unit': 2446518810964505836996419160, 'val': 1}
  • id: 5826982
    {'lmfdb_iso': '111600.eq', 'p': 37, 'prec': 20, 'unit': 447976638171104302930307069431, 'val': 1}
  • id: 5826987
    {'lmfdb_iso': '111600.eq', 'p': 43, 'prec': 20, 'unit': 9706365246093243444822145855518, 'val': 1}
  • id: 5826989
    {'lmfdb_iso': '111600.eq', 'p': 53, 'prec': 20, 'unit': 41122803554940998438204733879096, 'val': 1}
  • id: 5826992
    {'lmfdb_iso': '111600.eq', 'p': 59, 'prec': 20, 'unit': 2348259278019751511407399608569486, 'val': 1}
  • id: 5826993
    {'lmfdb_iso': '111600.eq', 'p': 61, 'prec': 20, 'unit': 2659666073115676406636989045801868, 'val': 1}
  • id: 5826981
    {'lmfdb_iso': '111600.eq', 'p': 67, 'prec': 20, 'unit': 44489110806233232607004007702066423, 'val': 1}
  • id: 5826986
    {'lmfdb_iso': '111600.eq', 'p': 79, 'prec': 20, 'unit': 1134306926460167380786570953082084038, 'val': 1}
  • id: 5826980
    {'lmfdb_iso': '111600.eq', 'p': 83, 'prec': 20, 'unit': 644987397087553269118488307713914183, 'val': 1}
  • id: 5826991
    {'lmfdb_iso': '111600.eq', 'p': 89, 'prec': 20, 'unit': 5808390881856503516976888039000157817, 'val': 1}
  • id: 5826979
    {'lmfdb_iso': '111600.eq', 'p': 97, 'prec': 20, 'unit': 119351174288888417268557615244102669, 'val': 2}