Elliptic curve data - 59290.cs1

Formats: - HTML - YAML - JSON - 2025-10-09T02:29:48.793386

• 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': '59290dd', 'Clabel': '59290dd1', 'Cnumber': 1, 'abc_quality': 0.9706848607140809, 'absD': 97648386140257568000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4620, 'ainvs': [1, 1, 1, -3601991, 2672356413], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 59290, 'degree': 2395008, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6302822037987162492207829953', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 70, 'isogeny_degrees': [1, 3], 'jinv': [-1693700041, 32000], 'lmfdb_iso': '59290.cs', 'lmfdb_label': '59290.cs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -608, 5806], 'min_quad_twist_disc': 77, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '20.2.0.a.1', '60.8.0.a.1', '231.8.0.?', '4620.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 29645], [3, 2, 11858], [5, 6, 11858], [7, 26, 1210], [11, 32, 490]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34091893139424919005017969139', 'prec': 107}, 'szpiro_ratio': 5.180683012354523, '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, -1, 1, -1, -1, 0, 1, -2, -1, 0, -1, -4, 0, 1, 1, 0, -2, -4, -1], 'aplist': [1, -1, -1, 0, 0, -4, 0, -4, 0, 6, 10, 8, -3, 1, -9, -12, -6, 11, -1, -6, 8, -14, -12, 15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 59290, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '59290.cs', 'trace_hash': 1400144526075689879}
• 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': '0.0051923732765929346738027382102', 'prec': 110}, 'conductor': 59290, 'gens': [], 'heights': [], 'lmfdb_label': '59290.cs1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18973547402005439670262630987', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5178837921604351736210104789576953244', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [0, 0], '5': [0, 0], '7': 'a', '11': 'a', '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '59290.cs1'}
• ec_torsion_growth •

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

  
  
  • id: 2852546
    {'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '59290.cs1', 'torsion': [3]}
  • id: 2852547
    {'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '59290.cs1', 'torsion': [2]}
  • id: 2852550
    {'degree': 6, 'field': [-68, 512, 130, -28, -17, -1, 1], 'lmfdb_label': '59290.cs1', 'torsion': [6]}
  • id: 2852548
    {'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '59290.cs1', 'torsion': [2, 2]}
  • id: 2852549
    {'degree': 6, 'field': [130, -148, 174, -83, 27, -1, 1], 'lmfdb_label': '59290.cs1', 'torsion': [3]}
  • id: 2852551
    {'degree': 12, 'field': [-27110324, 9331712, 13123570, -2909666, 751182, -583974, 97413, -1611, 773, 320, -79, -5, 1], 'lmfdb_label': '59290.cs1', 'torsion': [4]}
  • id: 2852553
    {'degree': 12, 'field': [77081, -104102, 66263, -92922, 72843, -10724, -3874, -564, 603, 58, -37, -2, 1], 'lmfdb_label': '59290.cs1', 'torsion': [2, 6]}
  • id: 2852552
    {'degree': 12, 'field': [85849, -88486, 85051, -34470, 17574, -3842, 2511, -214, 6, 78, -5, -2, 1], 'lmfdb_label': '59290.cs1', 'torsion': [3, 3]}
  • id: 2852554
    {'degree': 18, 'field': [183477116, 507212228, 112532500, -67898838, -228058286, -50600790, 21793219, 35610207, 2007268, -4854437, -529338, 284280, 22297, -13737, -81, 499, -23, -6, 1], 'lmfdb_label': '59290.cs1', 'torsion': [9]}
  • id: 2852555
    {'degree': 18, 'field': [696753304, 250528064, 568926332, 174010014, 170635230, 47050852, 30638382, 5781562, 4289902, 126413, 517421, -53736, 47132, -6964, 2750, -358, 86, -7, 1], 'lmfdb_label': '59290.cs1', 'torsion': [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: 1428720
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '59290.cs1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 1428721
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '59290.cs1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1428722
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '59290.cs1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1428723
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '59290.cs1', 'prime': 11, 'reduction_type': 0, '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: 2057637
    {'adelic_gens': [[4, 3, 9, 7], [4615, 6, 4614, 7], [3959, 0, 0, 4619], [2311, 1386, 693, 4159], [1926, 4081, 385, 771], [2099, 0, 0, 4619], [1, 6, 0, 1], [3, 4, 8, 11], [3697, 1386, 231, 4159], [1, 0, 6, 1]], 'adelic_image': '4620.16.0.?', 'conductor': 59290, 'lmfdb_label': '59290.cs1', 'prime': 0}
  • id: 251147
    {'conductor': 59290, 'elladic_image': '3.4.0.1', 'lmfdb_label': '59290.cs1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 59290.cs does not appear in ec_padic