Elliptic curve isogeny class data - 58800.cu

Formats: - HTML - YAML - JSON - 2025-10-05T18:32:55.393570

• 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, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, -1, 0, 0, 0, 2, 6, -4, 0, -6, 8, -2, 6, -4, 0, 6, 0, 10, -4, 0, 2, -8, -12, -18, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 58800, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '58800.cu', 'trace_hash': 333952743523737927}
• ec_padic •

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

  
  
  • id: 2983727
    {'lmfdb_iso': '58800.cu', 'p': 13, 'prec': 20, 'unit': 537129814955589547265, 'val': 1}
  • id: 2983729
    {'lmfdb_iso': '58800.cu', 'p': 17, 'prec': 20, 'unit': 146999476394620648125421, 'val': 1}
  • id: 2983720
    {'lmfdb_iso': '58800.cu', 'p': 19, 'prec': 20, 'unit': 202805352915195026730954, 'val': 1}
  • id: 2983726
    {'lmfdb_iso': '58800.cu', 'p': 29, 'prec': 20, 'unit': 1407213863551525585885689180, 'val': 1}
  • id: 2983735
    {'lmfdb_iso': '58800.cu', 'p': 31, 'prec': 20, 'unit': 17511616715362384192996254532, 'val': 1}
  • id: 2983723
    {'lmfdb_iso': '58800.cu', 'p': 37, 'prec': 20, 'unit': 399348848267083413783796271453, 'val': 1}
  • id: 2983724
    {'lmfdb_iso': '58800.cu', 'p': 41, 'prec': 20, 'unit': 2055648091244983296771472964540, 'val': 1}
  • id: 2983725
    {'lmfdb_iso': '58800.cu', 'p': 43, 'prec': 20, 'unit': 1994593680139517821762251143200, 'val': 1}
  • id: 2983731
    {'lmfdb_iso': '58800.cu', 'p': 53, 'prec': 20, 'unit': 280330571481142848810187634573797, 'val': 1}
  • id: 2983734
    {'lmfdb_iso': '58800.cu', 'p': 61, 'prec': 20, 'unit': 3522966122782436163040609071096249, 'val': 1}
  • id: 2983722
    {'lmfdb_iso': '58800.cu', 'p': 67, 'prec': 20, 'unit': 18483054671666137960229667810991806, 'val': 1}
  • id: 2983732
    {'lmfdb_iso': '58800.cu', 'p': 73, 'prec': 20, 'unit': 231085863613888523382174380947615831, 'val': 1}
  • id: 2983728
    {'lmfdb_iso': '58800.cu', 'p': 79, 'prec': 20, 'unit': 1003295178097962846941988282347556472, 'val': 1}
  • id: 2983730
    {'lmfdb_iso': '58800.cu', 'p': 83, 'prec': 20, 'unit': 5845217065855316391675752720611570, 'val': 1}
  • id: 2983733
    {'lmfdb_iso': '58800.cu', 'p': 89, 'prec': 20, 'unit': 5623176013107076226856430794918158789, 'val': 1}
  • id: 2983721
    {'lmfdb_iso': '58800.cu', 'p': 97, 'prec': 20, 'unit': 4078525021214620713227673217461516551, 'val': 1}
• 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: 389758
    {'Ciso': '58800fc', 'Clabel': '58800fc7', 'Cnumber': 7, 'abc_quality': 1.0818126452233845, 'absD': 609892416000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, -104537008, -411354663488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 3981312, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0349871965210038295595304814', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.3', '28.12.0-4.c.1.2', '40.12.0.v.1', '60.48.0.c.3', '84.48.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.572529323641367193323838189', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232161', 'prec': 103}, 'szpiro_ratio': 6.101747025672718, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389759
    {'Ciso': '58800fc', 'Clabel': '58800fc8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 44118375000000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, -8889008, -1385383488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 3981312, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0349871965210038295595304814', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.3', '24.96.1.da.1', '40.12.0.bb.1', '56.12.0-4.c.1.5', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.572529323641367193323838189', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232161', 'prec': 103}, 'szpiro_ratio': 5.428441048396509, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389757
    {'Ciso': '58800fc', 'Clabel': '58800fc6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 67765824000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, -6537008, -6418663488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 1990656, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6884136062410311748509144206', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': 140, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '24.96.1.cp.2', '28.12.0-2.a.1.1', '40.12.0.a.1', '60.96.1.h.3', '84.96.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2862646618206835966619190943', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626080', 'prec': 103}, 'szpiro_ratio': 5.344484003932534, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 389756
    {'Ciso': '58800fc', 'Clabel': '58800fc5', 'Cnumber': 5, 'abc_quality': 1.0501740895315954, 'absD': 254121840000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, -5655008, 5177872512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 1327104, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4856810521869489838619078629', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.4', '24.96.1.da.3', '40.12.0.bb.1', '56.12.0-4.c.1.5', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8575097745471223977746127295', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703104', 'prec': 107}, 'szpiro_ratio': 5.3048902886204115, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389755
    {'Ciso': '58800fc', 'Clabel': '58800fc4', 'Cnumber': 4, 'abc_quality': 1.0339287621454463, 'absD': 40015041413760000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, -1343008, -515535488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 1327104, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4856810521869489838619078629', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.4', '28.12.0-4.c.1.2', '40.12.0.v.1', '60.48.0.c.4', '84.48.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8575097745471223977746127295', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703104', 'prec': 107}, 'szpiro_ratio': 4.912163209739591, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389753
    {'Ciso': '58800fc', 'Clabel': '58800fc2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 548903174400000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, -363008, 76384512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 663552, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1391074619069763291532918022', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': 140, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '24.96.1.cp.4', '28.12.0-2.a.1.1', '40.12.0.a.1', '60.96.1.h.1', '84.96.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4287548872735611988873063648', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635759', 'prec': 107}, 'szpiro_ratio': 4.554781895365868, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 389754
    {'Ciso': '58800fc', 'Clabel': '58800fc3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 11565367296000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, -265008, -171751488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 995328, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3418400159610585201422983599', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.1', '24.96.1.dh.4', '28.12.0-4.c.1.1', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.2', '84.96.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.572529323641367193323838189', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979990', 'prec': 107}, 'szpiro_ratio': 4.684736307524796, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389752
    {'Ciso': '58800fc', 'Clabel': '58800fc1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 16263797760000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, 28992, 5824512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 331776, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7925338716270036744446757414', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '58800.cu', 'lmfdb_label': '58800.cu8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.2', '24.96.1.dh.3', '28.12.0-4.c.1.1', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.4', '84.96.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8575097745471223977746127295', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 19600], [5, 18, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241840', 'prec': 107}, 'szpiro_ratio': 4.068662468910992, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}