Elliptic curve data - 43245.h3

Formats: - HTML - YAML - JSON - 2026-06-24T05:21:49.724662

• 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': '43245b', 'Clabel': '43245b7', 'Cnumber': 7, 'abc_quality': 1.0594919023465201, 'absD': 139254029583339603645, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 14880, 'ainvs': [1, -1, 0, -951570, -670580019], 'analytic_rank': 1, 'bad_primes': [3, 5, 31], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 43245, 'degree': 983040, 'elladic_images': ['16.48.0.134'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5571693550537294906358404050', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'intrinsic_torsion': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '43245.h', 'lmfdb_label': '43245.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': 93, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '16.48.0.u.2', '20.12.0.h.1', '40.48.0.bm.2', '80.192.5.?', '96.96.1.?', '372.12.0.?', '480.384.13.?', '744.48.0.?', '992.96.0.?', '1488.96.0.?', '1860.24.0.?', '2976.192.1.?', '3720.96.0.?', '4960.384.5.?', '7440.384.5.?', '14880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.450053304508797485396004012', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 4805], [5, 6, 8649], [31, 482, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562427', 'prec': 103}, 'szpiro_ratio': 5.074754544822501, '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, -1, 0, 0, -3, 0, -1, -4, 0, 2, 0, 0, -1, 2, 0, 4, 1], 'aplist': [1, 0, -1, 0, -4, 2, 2, 4, 0, -2, 0, 10, -10, -4, -8, -10, 4, 2, 12, 8, -10, 0, 12, -6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 43245, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '43245.h', 'trace_hash': 1424492937521391016}
• 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': '0.0060099508403697018864697386616', 'prec': 110}, 'conductor': 43245, 'gens': [[2825712283932547183, 2019307883902632767489313141, 45900118]], 'heights': [{'__RealLiteral__': 0, 'data': '39.450053304508797485396004012', 'prec': 100}], 'lmfdb_label': '43245.h3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.072617884919569061621397548233', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7295588618753700618304941688019702444', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[4899, -4899, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [17, 3], '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': 'a', '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '43245.h3'}
• ec_torsion_growth •

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

  
  
  • id: 2119117
    {'degree': 2, 'field': [-116, -1, 1], 'lmfdb_label': '43245.h3', 'torsion': [4]}
  • id: 2119116
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [2, 2]}
  • id: 2119118
    {'degree': 2, 'field': [93, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [4]}
  • id: 2119119
    {'degree': 4, 'field': [484, 0, 49, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [2, 4]}
  • id: 2119120
    {'degree': 4, 'field': [2209, 0, -92, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [8]}
  • id: 2119121
    {'degree': 4, 'field': [10609, 0, 166, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [8]}
  • id: 2119127
    {'degree': 8, 'field': [-97305, -2209, 1684, -876, 1318, -52, -51, -1, 1], 'lmfdb_label': '43245.h3', 'torsion': [6]}
  • id: 2119124
    {'degree': 8, 'field': [152100, 0, 45060, 0, 3589, 0, 106, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [2, 8]}
  • id: 2119123
    {'degree': 8, 'field': [274111, 50068, -46904, -6236, 2889, 272, -86, -4, 1], 'lmfdb_label': '43245.h3', 'torsion': [8]}
  • id: 2119122
    {'degree': 8, 'field': [285621, 47268, -44084, -6276, 2909, 272, -86, -4, 1], 'lmfdb_label': '43245.h3', 'torsion': [2, 4]}
  • id: 2119125
    {'degree': 8, 'field': [47320641, 0, 2849028, 0, 56194, 0, 412, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [16]}
  • id: 2119126
    {'degree': 8, 'field': [110649361, 0, 3626228, 0, 48594, 0, 332, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [16]}
  • id: 2119134
    {'degree': 16, 'field': [32455809, -94986081, -185597759, 17697923, 96256375, 5596923, -15192483, -2537469, 766123, 106565, -30443, -1659, 807, -99, 25, -7, 1], 'lmfdb_label': '43245.h3', 'torsion': [12]}
  • id: 2119133
    {'degree': 16, 'field': [4331310705, -1013158620, 12985002126, -461280942, -964026996, -80560392, 71340591, -1073014, -875422, 167734, -88287, 1886, 3526, -72, -61, -2, 1], 'lmfdb_label': '43245.h3', 'torsion': [2, 6]}
  • id: 2119135
    {'degree': 16, 'field': [24837913629, -731821068, -3095923167, -108251586, 320305887, -14544270, -25215702, -1425648, 3198568, -25346, -173633, 142, 5887, -2, -101, -2, 1], 'lmfdb_label': '43245.h3', 'torsion': [12]}
  • id: 2119132
    {'degree': 16, 'field': [71467808166, 24171379560, 26061670404, 6202256040, 3604123962, 587434800, 324982612, 22425600, 19934335, 226600, 752908, -4520, 16462, -80, 196, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [2, 16]}
  • id: 2119131
    {'degree': 16, 'field': [75771017577, 27401935824, -23179499124, -8078980968, 3144494476, 1019419128, -250877804, -72207680, 13134525, 3118536, -466592, -82392, 11002, 1232, -156, -8, 1], 'lmfdb_label': '43245.h3', 'torsion': [16]}
  • id: 2119130
    {'degree': 16, 'field': [76703699556, 27355215816, -23163444384, -8019671376, 3119837158, 1013575536, -249184706, -71991068, 13082613, 3116976, -466214, -82428, 11008, 1232, -156, -8, 1], 'lmfdb_label': '43245.h3', 'torsion': [16]}
  • id: 2119128
    {'degree': 16, 'field': [81579355641, 0, 27416896152, 0, 4198449970, 0, 370709492, 0, 20408259, 0, 712708, 0, 15390, 0, 188, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [4, 4]}
  • id: 2119129
    {'degree': 16, 'field': [93786612516, 0, -30954714864, 0, 4522534180, 0, -381541756, 0, 20281509, 0, -693956, 0, 14910, 0, -184, 0, 1], 'lmfdb_label': '43245.h3', 'torsion': [2, 8]}
• 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: 1027212
    {'conductor': 43245, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '43245.h3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1027213
    {'conductor': 43245, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '43245.h3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1027214
    {'conductor': 43245, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '43245.h3', 'prime': 31, '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: 1952382
    {'adelic_gens': [[1861, 992, 2356, 993], [11254, 2883, 8525, 3628], [1, 0, 32, 1], [23, 18, 12318, 12875], [12060, 31, 6479, 12804], [14849, 32, 14848, 33], [5, 28, 68, 381], [9919, 13888, 9424, 13887], [1, 32, 0, 1], [1919, 0, 0, 14879]], 'adelic_image': '14880.768.13.?', 'conductor': 43245, 'lmfdb_label': '43245.h3', 'prime': 0}
  • id: 188494
    {'conductor': 43245, 'elladic_image': '16.48.0.134', 'lmfdb_label': '43245.h3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2154745
    {'lmfdb_iso': '43245.h', 'p': 11, 'prec': 20, 'unit': 8528439006890365602, 'val': 1}
  • id: 2154751
    {'lmfdb_iso': '43245.h', 'p': 13, 'prec': 20, 'unit': 91019766265937701940, 'val': 1}
  • id: 2154753
    {'lmfdb_iso': '43245.h', 'p': 17, 'prec': 20, 'unit': 106672791533472340091900, 'val': 1}
  • id: 2154754
    {'lmfdb_iso': '43245.h', 'p': 19, 'prec': 20, 'unit': 1172681601897574558935740, 'val': 1}
  • id: 2154750
    {'lmfdb_iso': '43245.h', 'p': 29, 'prec': 20, 'unit': 2333558086307314696394629871, 'val': 1}
  • id: 2154746
    {'lmfdb_iso': '43245.h', 'p': 37, 'prec': 20, 'unit': 300267144351748247672201841909, 'val': 1}
  • id: 2154748
    {'lmfdb_iso': '43245.h', 'p': 41, 'prec': 20, 'unit': 678346464900754898308175025649, 'val': 1}
  • id: 2154749
    {'lmfdb_iso': '43245.h', 'p': 43, 'prec': 20, 'unit': 6732897146097364681540158455771, 'val': 1}
  • id: 2154752
    {'lmfdb_iso': '43245.h', 'p': 47, 'prec': 20, 'unit': 28100738167695341632130083028856, 'val': 1}
  • id: 2154755
    {'lmfdb_iso': '43245.h', 'p': 53, 'prec': 20, 'unit': 569899614897564935639449888707486, 'val': 1}
  • id: 2154759
    {'lmfdb_iso': '43245.h', 'p': 59, 'prec': 20, 'unit': 155726384228530535181060454879841, 'val': 1}
  • id: 2154760
    {'lmfdb_iso': '43245.h', 'p': 61, 'prec': 20, 'unit': 3830533036566971102000983128871859, 'val': 1}
  • id: 2154744
    {'lmfdb_iso': '43245.h', 'p': 67, 'prec': 20, 'unit': 37723382489779501791187691286598046, 'val': 1}
  • id: 2154747
    {'lmfdb_iso': '43245.h', 'p': 71, 'prec': 20, 'unit': 140899319315972701187340101151881571, 'val': 1}
  • id: 2154756
    {'lmfdb_iso': '43245.h', 'p': 73, 'prec': 20, 'unit': 65055391277909979163053202228752460, 'val': 1}
  • id: 2154757
    {'lmfdb_iso': '43245.h', 'p': 83, 'prec': 20, 'unit': 2671302986912034911200140245458427762, 'val': 1}
  • id: 2154758
    {'lmfdb_iso': '43245.h', 'p': 89, 'prec': 20, 'unit': 4928130200091689132728504681076990388, 'val': 1}
  • id: 2154743
    {'lmfdb_iso': '43245.h', 'p': 97, 'prec': 20, 'unit': 6812327709751938939915647636416173272, 'val': 1}