Elliptic curve isogeny class data - 11830.d

Formats: - HTML - YAML - JSON - 2026-02-02T22:14:03.548161

• 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, 1, 2, -1, -1, 1, -1, 0, -2, 0, 1, -2, 1, 0, -1, -2, 1], 'aplist': [-1, -2, 1, -1, 0, 0, 0, -2, 6, 6, 4, -2, 0, 8, 0, 12, -6, -10, 4, -6, -2, 8, -12, 0, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 11830, 'isogeny_matrix': [[1, 2, 3, 9, 6, 18], [2, 1, 6, 18, 3, 9], [3, 6, 1, 3, 2, 6], [9, 18, 3, 1, 6, 2], [6, 3, 2, 6, 1, 3], [18, 9, 6, 2, 3, 1]], 'lmfdb_iso': '11830.d', 'trace_hash': 1170046385420429560}
• lmfdb_iso 11830.d does not appear in ec_padic
• 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[]

  
  
  • id: 77029
    {'Ciso': '11830i', 'Clabel': '11830i6', 'Cnumber': 6, 'abc_quality': 1.0121384237365028, 'absD': 43564720512390136718750, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 1, -89408778, -325253059402], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11830, 'degree': 1741824, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2920204182150470559208462882', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [16375858190544687071329, 9025573730468750], 'lmfdb_iso': '11830.d', 'lmfdb_label': '11830.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -529046, -148084874], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '39.8.0-3.a.1.2', '56.6.0.a.1', '60.24.0-6.a.1.9', '78.24.0.?', '117.24.0.?', '168.24.0.?', '180.72.0.?', '234.72.0.?', '260.6.0.?', '504.72.1.?', '780.48.0.?', '819.72.0.?', '840.48.0.?', '1638.216.2.?', '2184.48.0.?', '2340.144.1.?', '2520.144.1.?', '3640.12.0.?', '6552.432.7.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1183], [3, 2, 2366], [5, 6, 2366], [7, 8, 1690], [13, 98, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0095457394842786878941025674', 'prec': 100}, 'szpiro_ratio': 7.095009187250619, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77028
    {'Ciso': '11830i', 'Clabel': '11830i5', 'Cnumber': 5, 'abc_quality': 1.0121276523788763, 'absD': 24020916664062500, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 1, -89396948, -325343468994], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11830, 'degree': 870912, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9454468279350744012122302275', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [16369358802802724130049, 4976562500], 'lmfdb_iso': '11830.d', 'lmfdb_label': '11830.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -528976, -148126020], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '30.24.0-6.a.1.4', '39.8.0-3.a.1.2', '56.6.0.d.1', '78.24.0.?', '90.72.0.?', '117.24.0.?', '130.6.0.?', '168.24.0.?', '234.72.0.?', '390.48.0.?', '504.72.1.?', '819.72.0.?', '840.48.0.?', '1170.144.1.?', '1638.216.2.?', '2184.48.0.?', '2520.144.1.?', '3640.12.0.?', '6552.432.7.?', '8190.432.7.?', '10920.96.1.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 2, 2366], [5, 6, 2366], [7, 8, 1690], [13, 98, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6629721492043060331854865067', 'prec': 100}, 'szpiro_ratio': 7.094966859410951, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77027
    {'Ciso': '11830i', 'Clabel': '11830i4', 'Cnumber': 4, 'abc_quality': 0.9816338064509004, 'absD': 998905399626372875000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 1, -3440168, 1928275806], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11830, 'degree': 580608, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7427142738809922102232236697', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [932829715460155969, 206949435875000], 'lmfdb_iso': '11830.d', 'lmfdb_label': '11830.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -20356, 876120], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '39.24.0-3.a.1.1', '56.6.0.a.1', '60.72.0-6.a.1.3', '78.72.0.?', '168.72.1.?', '260.6.0.?', '780.144.1.?', '819.72.0.?', '840.144.1.?', '1638.216.2.?', '2184.144.1.?', '3640.12.0.?', '6552.432.7.?', '10920.288.5.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1183], [3, 2, 169], [5, 6, 2366], [7, 8, 1690], [13, 98, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4602395951502238421964799489', 'prec': 100}, 'szpiro_ratio': 6.052922864128746, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77025
    {'Ciso': '11830i', 'Clabel': '11830i2', 'Cnumber': 2, 'abc_quality': 0.9752031162957147, 'absD': 73089472601600, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 1, -3230608, 2234714718], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11830, 'degree': 193536, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1934081295469373645256010513', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [772531501373731009, 15142400], 'lmfdb_iso': '11830.d', 'lmfdb_label': '11830.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -19116, 1015696], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '39.8.0-3.a.1.1', '56.6.0.a.1', '60.24.0-6.a.1.5', '78.24.0.?', '117.24.0.?', '168.24.0.?', '180.72.0.?', '234.72.0.?', '260.6.0.?', '504.72.1.?', '780.48.0.?', '819.72.0.?', '840.48.0.?', '1638.216.2.?', '2184.48.0.?', '2340.144.1.?', '2520.144.1.?', '3640.12.0.?', '6552.432.7.?', '10920.96.1.?', '16380.432.7.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1183], [3, 2, 5915], [5, 6, 2366], [7, 8, 1690], [13, 98, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91093345081616899649885733052', 'prec': 103}, 'szpiro_ratio': 6.032818154758181, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77026
    {'Ciso': '11830i', 'Clabel': '11830i3', 'Cnumber': 3, 'abc_quality': 0.9616074509807393, 'absD': 9980869973872616000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 1, -1121488, -431212962], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11830, 'degree': 290304, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3961406836010195555146076090', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [32318182904349889, 2067798824000], 'lmfdb_iso': '11830.d', 'lmfdb_label': '11830.d5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6636, -196784], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '30.72.0-6.a.1.2', '39.24.0-3.a.1.1', '56.6.0.d.1', '78.72.0.?', '130.6.0.?', '168.72.1.?', '390.144.1.?', '819.72.0.?', '840.144.1.?', '1638.216.2.?', '2184.144.1.?', '3640.12.0.?', '6552.432.7.?', '8190.432.7.?', '10920.288.5.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 2, 169], [5, 6, 2366], [7, 8, 1690], [13, 98, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1136660048702511874878638882', 'prec': 100}, 'szpiro_ratio': 5.694376115436029, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77024
    {'Ciso': '11830i', 'Clabel': '11830i1', 'Cnumber': 1, 'abc_quality': 0.931188760669257, 'absD': 4030041073909760, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 0, 1, -202128, 34826846], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11830, 'degree': 96768, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8468345392669647098169849906', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [189208196468929, 834928640], 'lmfdb_iso': '11830.d', 'lmfdb_label': '11830.d6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, 15760], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '30.24.0-6.a.1.3', '39.8.0-3.a.1.1', '56.6.0.d.1', '78.24.0.?', '90.72.0.?', '117.24.0.?', '130.6.0.?', '168.24.0.?', '234.72.0.?', '390.48.0.?', '504.72.1.?', '819.72.0.?', '840.48.0.?', '1170.144.1.?', '1638.216.2.?', '2184.48.0.?', '2520.144.1.?', '3640.12.0.?', '6552.432.7.?', '8190.432.7.?', '10920.96.1.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 2, 5915], [5, 6, 2366], [7, 8, 1690], [13, 98, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56435986053619634179024126982', 'prec': 103}, 'szpiro_ratio': 5.146250569076669, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}