Elliptic curve data - 59850.f4

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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': '59850bh', 'Clabel': '59850bh1', 'Cnumber': 1, 'abc_quality': 0.9290870949509372, 'absD': 89791877700000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 15960, 'ainvs': [1, -1, 0, -118917, 6454741], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 59850, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9466584220041941027935809552', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [16327137318409, 7882963200], 'lmfdb_iso': '59850.f', 'lmfdb_label': '59850.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -529, -1948], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '114.6.0.?', '168.12.0.?', '228.12.0.?', '840.24.0.?', '1064.12.0.?', '1140.24.0.?', '3192.24.0.?', '5320.24.0.?', '15960.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4275], [3, 6, 6650], [5, 18, 2394], [7, 8, 8550], [19, 20, 3150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59263332145308906979557867013', 'prec': 103}, 'szpiro_ratio': 4.243078372641267, '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, -1, 0, 1, 0, 0, -1, -1, 0, 0, -4, 0, 6, 1, 0, 1, -2, 0, -1, 0], 'aplist': [-1, 0, 0, -1, -4, 6, -2, -1, 0, 6, 0, 2, -6, 4, -4, -6, 4, -2, 16, 0, -2, 4, -8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 59850, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '59850.f', 'trace_hash': 2030280046519671137}
• 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': '0.020377644354461965727572401127', 'prec': 107}, 'conductor': 59850, 'gens': [], 'heights': [], 'lmfdb_label': '59850.f4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30211903215909156406509320504', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2084761286363662562603728201729123488', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[314, -157, 1]], 'xcoord_integral_points': [314]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [0, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '59850.f4'}
• ec_torsion_growth •

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

  
  
  • id: 2874849
    {'degree': 2, 'field': [-71, -1, 1], 'lmfdb_label': '59850.f4', 'torsion': [4]}
  • id: 2874848
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '59850.f4', 'torsion': [2, 2]}
  • id: 2874850
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '59850.f4', 'torsion': [4]}
  • id: 2874851
    {'degree': 4, 'field': [169, 0, -31, 0, 1], 'lmfdb_label': '59850.f4', 'torsion': [2, 4]}
  • id: 2874855
    {'degree': 8, 'field': [-187500, 0, 0, 0, 1500, 0, -65, 0, 1], 'lmfdb_label': '59850.f4', 'torsion': [6]}
  • id: 2874853
    {'degree': 8, 'field': [-1104, 5124, -4157, -1878, 800, 164, -50, -4, 1], 'lmfdb_label': '59850.f4', 'torsion': [8]}
  • id: 2874852
    {'degree': 8, 'field': [1024, 0, 3920, 0, 36, 0, 20, 0, 1], 'lmfdb_label': '59850.f4', 'torsion': [2, 4]}
  • id: 2874854
    {'degree': 8, 'field': [7225, 0, 490, 0, 219, 0, -14, 0, 1], 'lmfdb_label': '59850.f4', 'torsion': [8]}
  • id: 2874859
    {'degree': 16, 'field': [-2316660704, 12603809672, -11865234844, -1153860112, -214869684, 905009576, -228910196, -57452486, 8374407, 3757234, -519646, -122074, 16736, 1638, -214, -8, 1], 'lmfdb_label': '59850.f4', 'torsion': [2, 6]}
  • id: 2874857
    {'degree': 16, 'field': [16, 0, -10856, 0, 55145, 0, -85620, 0, 51548, 0, -13050, 0, 1460, 0, -68, 0, 1], 'lmfdb_label': '59850.f4', 'torsion': [2, 8]}
  • id: 2874861
    {'degree': 16, 'field': [21911, 108334, -59100, -70822, -26964, 58284, 1698, -6470, -10047, 3556, 3042, -1470, -210, 182, -6, -8, 1], 'lmfdb_label': '59850.f4', 'torsion': [12]}
  • id: 2874856
    {'degree': 16, 'field': [40401, 0, 92484, 0, 78738, 0, 12660, 0, -1805, 0, 28, 0, 90, 0, -8, 0, 1], 'lmfdb_label': '59850.f4', 'torsion': [4, 4]}
  • id: 2874858
    {'degree': 16, 'field': [487091749, -191283270, 283999490, -204222514, 151061636, -64393968, 31260764, -9158634, 3275749, -710520, 196708, -31682, 6888, -770, 130, -8, 1], 'lmfdb_label': '59850.f4', 'torsion': [2, 8]}
  • id: 2874860
    {'degree': 16, 'field': [4384091164, 4618949924, 1850166200, 217812172, -249364982, -154409802, -23199643, 4943470, 2299552, 206768, -49603, -5364, -155, 74, -34, -2, 1], 'lmfdb_label': '59850.f4', 'torsion': [12]}
• 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: 1441308
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '59850.f4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441309
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '59850.f4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1441310
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '59850.f4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441311
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '59850.f4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441312
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '59850.f4', '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: 2061212
    {'adelic_gens': [[7, 6, 15954, 15955], [7444, 9575, 2105, 15954], [2801, 9180, 5990, 4391], [1, 0, 8, 1], [15953, 8, 15952, 9], [1, 8, 0, 1], [1, 4, 4, 17], [13171, 13170, 1210, 15571], [13681, 3200, 460, 12801], [6383, 0, 0, 15959], [14456, 3195, 5045, 6386]], 'adelic_image': '15960.48.0.?', 'conductor': 59850, 'lmfdb_label': '59850.f4', 'prime': 0}
  • id: 253185
    {'conductor': 59850, 'elladic_image': '4.6.0.1', 'lmfdb_label': '59850.f4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 59850.f does not appear in ec_padic