Elliptic curve data - 59850.m2

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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': '59850l', 'Clabel': '59850l1', 'Cnumber': 1, 'abc_quality': 0.9203014472342582, 'absD': 229824000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 15960, 'ainvs': [1, -1, 0, 14583, 265741], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 59850, 'degree': 207360, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4444227434161940227220090582', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 3], 'jinv': [812949929037, 544768000], 'lmfdb_iso': '59850.m', 'lmfdb_label': '59850.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 5250, -59500], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.2', '3192.8.0.?', '15960.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36505071503211641257281808236', 'prec': 103}, 'szpiro_ratio': 3.670716368808253, '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, -1, 0, 1, 0, 0, -1, -1, 0, 0, -3, 0, 1, 1, 0, 1, 0, 0, 1, 0], 'aplist': [-1, 0, 0, -1, -3, 1, 0, 1, 3, 6, -7, 10, -12, 1, 6, 9, 15, -1, 4, 3, 1, -4, 3, 0, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 59850, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '59850.m', 'trace_hash': 1358015908113175888}
• 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': '0.055640413133792137763899719132', 'prec': 107}, 'conductor': 59850, 'gens': [], 'heights': [], 'lmfdb_label': '59850.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35078973147060619884266237490', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4031589258824247953706494995892638885', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0, 0], '19': [1, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '59850.m2'}
• ec_torsion_growth •

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

  
  
  • id: 2874472
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '59850.m2', 'torsion': [3]}
  • id: 2874473
    {'degree': 3, 'field': [10, 14, -1, 1], 'lmfdb_label': '59850.m2', 'torsion': [2]}
  • id: 2874476
    {'degree': 6, 'field': [25, -575, 210, -45, 24, -1, 1], 'lmfdb_label': '59850.m2', 'torsion': [6]}
  • id: 2874474
    {'degree': 6, 'field': [15960, 0, 1681, 0, 82, 0, 1], 'lmfdb_label': '59850.m2', 'torsion': [2, 2]}
  • id: 2874475
    {'degree': 6, 'field': [19216, -2841, -339, 241, 15, -3, 1], 'lmfdb_label': '59850.m2', 'torsion': [3]}
  • id: 2874479
    {'degree': 12, 'field': [636804, 1273608, -631218, -1297548, 682291, -44690, 22341, -6374, 1592, -10, 13, -6, 1], 'lmfdb_label': '59850.m2', 'torsion': [2, 6]}
  • id: 2874477
    {'degree': 12, 'field': [832560, -6328320, -14693712, -9680256, -1501196, 196160, 92188, 8240, 511, -280, -68, -4, 1], 'lmfdb_label': '59850.m2', 'torsion': [4]}
  • id: 2874478
    {'degree': 12, 'field': [331968400, -21864000, -5829780, 9032040, -153999, -158799, 100961, 1194, -1182, 522, 9, -3, 1], 'lmfdb_label': '59850.m2', 'torsion': [3, 3]}
  • id: 2874481
    {'degree': 18, 'field': [8158362731716, -3027945631878, -482870390544, 413539762109, -69361875855, -17512520556, 8612465338, -630701553, -150662685, 51927179, 517839, -978777, 168167, 25137, -4125, 378, 78, -9, 1], 'lmfdb_label': '59850.m2', 'torsion': [6]}
  • id: 2874480
    {'degree': 18, 'field': [35689555590625, 26849557884375, 19042299185625, 14423083020000, 7393974522750, 2000719883250, 297611194350, 60629956200, 9597975975, 852466545, 151632135, 7707240, 750126, 96786, -9090, 0, -135, -9, 1], 'lmfdb_label': '59850.m2', '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: 1441098
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '59850.m2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1441099
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '59850.m2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441100
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '59850.m2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441101
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '59850.m2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1441102
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '59850.m2', 'prime': 19, '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: 2061303
    {'adelic_gens': [[7981, 6, 7983, 19], [4, 3, 9, 7], [13681, 6, 9123, 19], [6383, 15954, 3189, 15941], [15955, 6, 15954, 7], [1, 6, 0, 1], [3991, 6, 0, 1], [4201, 6, 12603, 19], [3, 4, 8, 11], [8646, 7321, 5323, 12654], [1, 0, 6, 1]], 'adelic_image': '15960.16.0.?', 'conductor': 59850, 'lmfdb_label': '59850.m2', 'prime': 0}
  • id: 253247
    {'conductor': 59850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '59850.m2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 59850.m does not appear in ec_padic