Elliptic curve data - 23534.o2

Formats: - HTML - YAML - JSON - 2026-10-05T12:24:55.344040

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '23534e', 'Clabel': '23534e5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 8716479283068928, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 20664, 'ainvs': [1, 1, 0, -286645, -59359827], 'analytic_rank': 1, 'bad_primes': [2, 7, 41], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 23534, 'degree': 207360, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9233134234952657048055479806', 'prec': 97}, 'faltings_index': 4, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '23534.o', 'lmfdb_label': '23534.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 41, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '72.72.1.?', '123.8.0.?', '126.216.7.?', '168.48.1.?', '246.24.0.?', '369.24.0.?', '504.432.21.?', '738.72.0.?', '984.48.0.?', '1722.48.0.?', '2583.72.0.?', '2952.144.1.?', '5166.432.7.?', '6888.96.1.?', '20664.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '51.357975090115553469098337216', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 11767], [3, 2, 11767], [7, 8, 3362], [41, 842, 14]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294081', 'prec': 97}, 'szpiro_ratio': 4.89930328026904, '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, 2, 1, 0, -2, -1, -1, 1, 0, 0, 2, 4, 1, 0, 1, -6, -1, -2, 0], 'aplist': [-1, 2, 0, -1, 0, 4, -6, -2, 0, 6, -4, 2, 0, 8, 12, -6, -6, 8, 4, 0, 2, -8, -6, 6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 23534, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '23534.o', 'trace_hash': 671420854757925317}
• 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': '0.021351637443756229158519146088', 'prec': 97}, 'conductor': 23534, 'gens': [[825190582731130437884401, 748738173618377083218273164448489331, 2095058040]], 'heights': [{'__RealLiteral__': 0, 'data': '51.357975090115553469098337216', 'prec': 97}], 'lmfdb_label': '23534.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10314454228889813408884290463', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2972948335546006637623160697143408741', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [[618, -309, 1]], 'xcoord_integral_points': [618]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 2], '5': [1, 5, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': 'a', '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '23534.o2'}
• ec_torsion_growth •

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

  
  
  • id: 1191180
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 2]}
  • id: 1191181
    {'degree': 2, 'field': [31, -1, 1], 'lmfdb_label': '23534.o2', 'torsion': [6]}
  • id: 1191182
    {'degree': 4, 'field': [-761, 62, 21, -2, 1], 'lmfdb_label': '23534.o2', 'torsion': [4]}
  • id: 1191183
    {'degree': 4, 'field': [841, 0, 65, 0, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 6]}
  • id: 1191184
    {'degree': 6, 'field': [-734, -741, 291, 45, -27, -3, 1], 'lmfdb_label': '23534.o2', 'torsion': [6]}
  • id: 1191185
    {'degree': 6, 'field': [87121, -9603, 3270, -47, 54, -3, 1], 'lmfdb_label': '23534.o2', 'torsion': [18]}
  • id: 1191187
    {'degree': 8, 'field': [37121, -16786, 5317, -1382, 782, -114, 27, -2, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 4]}
  • id: 1191188
    {'degree': 8, 'field': [53161, -16902, 18863, 2794, 486, 178, -15, -2, 1], 'lmfdb_label': '23534.o2', 'torsion': [12]}
  • id: 1191186
    {'degree': 8, 'field': [690362, -111522, -21783, 222, 2373, -82, -41, -2, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 4]}
  • id: 1191189
    {'degree': 12, 'field': [538756, 543894, 762675, -149571, 98208, -24717, 6191, -210, 573, -9, 36, -3, 1], 'lmfdb_label': '23534.o2', 'torsion': [3, 6]}
  • id: 1191190
    {'degree': 12, 'field': [881644, 785094, -323211, -339776, 80697, 58950, -11185, -5478, 951, 272, -45, -6, 1], 'lmfdb_label': '23534.o2', 'torsion': [18]}
  • id: 1191191
    {'degree': 12, 'field': [1020776, 576858, -424695, -284340, 93705, 54018, -11285, -5406, 915, 280, -45, -6, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 6]}
  • id: 1191192
    {'degree': 12, 'field': [996696793, -182059446, 189008553, -34564154, 14910786, -2072526, 667505, -59358, 16290, -922, 201, -6, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 18]}
  • id: 1191194
    {'degree': 16, 'field': [605174236, 33137864, 20579450, -97956684, 26156767, 24979486, -4430076, -3117922, 516944, 152368, -8456, -11214, 1232, 266, -18, -8, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 12]}
  • id: 1191193
    {'degree': 16, 'field': [643934704, 927189824, 697964640, 199360256, -36167712, -29215040, -7004016, -897984, 379028, 152608, 17992, -32, -1460, -184, 8, 0, 1], 'lmfdb_label': '23534.o2', 'torsion': [8]}
  • id: 1191195
    {'degree': 16, 'field': [1608664324, -560241632, 655182762, -200162264, 126608681, -34190180, 15446996, -3720500, 1253382, -234784, 66770, -11504, 2524, -308, 64, -8, 1], 'lmfdb_label': '23534.o2', 'torsion': [2, 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: 538688
    {'conductor': 23534, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '23534.o2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 538689
    {'conductor': 23534, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '23534.o2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 538690
    {'conductor': 23534, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '23534.o2', 'prime': 41, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1821281
    {'adelic_gens': [[10333, 19188, 3034, 5905], [1, 36, 0, 1], [1, 18, 14, 253], [5167, 19188, 13366, 5905], [4429, 19188, 10168, 12629], [13900, 15129, 9799, 8242], [20629, 36, 20628, 37], [19, 36, 3240, 6139], [1, 0, 36, 1], [1511, 0, 0, 20663]], 'adelic_image': '20664.864.21.?', 'conductor': 23534, 'lmfdb_label': '23534.o2', 'prime': 0}
  • id: 108209
    {'conductor': 23534, 'elladic_image': '8.6.0.1', 'lmfdb_label': '23534.o2', 'modell_image': '2B', 'prime': 2}
  • id: 108210
    {'conductor': 23534, 'elladic_image': '9.12.0.1', 'lmfdb_label': '23534.o2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1112824
    {'lmfdb_iso': '23534.o', 'p': 13, 'prec': 20, 'unit': 946824394280136053040, 'val': 1}
  • id: 1112826
    {'lmfdb_iso': '23534.o', 'p': 17, 'prec': 20, 'unit': 233507998760460948479006, 'val': 1}
  • id: 1112827
    {'lmfdb_iso': '23534.o', 'p': 19, 'prec': 20, 'unit': 1355036420186538163978537, 'val': 1}
  • id: 1112823
    {'lmfdb_iso': '23534.o', 'p': 29, 'prec': 20, 'unit': 590147767477274811066252145, 'val': 1}
  • id: 1112833
    {'lmfdb_iso': '23534.o', 'p': 31, 'prec': 20, 'unit': 17544569052975586713826086315, 'val': 1}
  • id: 1112820
    {'lmfdb_iso': '23534.o', 'p': 37, 'prec': 20, 'unit': 267290967698117212820728667177, 'val': 1}
  • id: 1112822
    {'lmfdb_iso': '23534.o', 'p': 43, 'prec': 20, 'unit': 3761185374397112525780420896272, 'val': 1}
  • id: 1112831
    {'lmfdb_iso': '23534.o', 'p': 47, 'prec': 20, 'unit': 15283517949870183250296324677830, 'val': 1}
  • id: 1112828
    {'lmfdb_iso': '23534.o', 'p': 53, 'prec': 20, 'unit': 112542196251728714044622332991961, 'val': 1}
  • id: 1112829
    {'lmfdb_iso': '23534.o', 'p': 59, 'prec': 20, 'unit': 866607459840198300889629831127795, 'val': 1}
  • id: 1112832
    {'lmfdb_iso': '23534.o', 'p': 61, 'prec': 20, 'unit': 8072530881238757765236544122639597, 'val': 1}
  • id: 1112819
    {'lmfdb_iso': '23534.o', 'p': 67, 'prec': 20, 'unit': 16955096508346956715450957796293918, 'val': 1}
  • id: 1112821
    {'lmfdb_iso': '23534.o', 'p': 73, 'prec': 20, 'unit': 25661029480733206536552311174237388, 'val': 1}
  • id: 1112825
    {'lmfdb_iso': '23534.o', 'p': 79, 'prec': 20, 'unit': 454508656040455220372219304863986497, 'val': 1}
  • id: 1112818
    {'lmfdb_iso': '23534.o', 'p': 83, 'prec': 20, 'unit': 2512705244943643714183730929574923093, 'val': 1}
  • id: 1112830
    {'lmfdb_iso': '23534.o', 'p': 89, 'prec': 20, 'unit': 2453910791295547434933719229027964014, 'val': 1}
  • id: 1112817
    {'lmfdb_iso': '23534.o', 'p': 97, 'prec': 20, 'unit': 11201790673923025775912255821986640290, 'val': 1}