Elliptic curve isogeny class data - 29040.b

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• 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, -1, 0, -4, 0, 1, 0, 0, 0, -2, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, -1, -1, -4, 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': 29040, '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': '29040.b', 'trace_hash': 290125493721757372}
• ec_padic •

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

  
  
  • id: 1400872
    {'lmfdb_iso': '29040.b', 'p': 7, 'prec': 20, 'unit': 1344481829657490, 'val': 2}
  • id: 1400876
    {'lmfdb_iso': '29040.b', 'p': 13, 'prec': 20, 'unit': 276950525371252110751, 'val': 1}
  • id: 1400878
    {'lmfdb_iso': '29040.b', 'p': 17, 'prec': 20, 'unit': 175294509513287937431662, 'val': 1}
  • id: 1400868
    {'lmfdb_iso': '29040.b', 'p': 19, 'prec': 20, 'unit': 1029451243691915521813329, 'val': 1}
  • id: 1400875
    {'lmfdb_iso': '29040.b', 'p': 29, 'prec': 20, 'unit': 2542558025288285723736509963, 'val': 1}
  • id: 1400884
    {'lmfdb_iso': '29040.b', 'p': 31, 'prec': 20, 'unit': 489270333534913019316466716, 'val': 2}
  • id: 1400871
    {'lmfdb_iso': '29040.b', 'p': 37, 'prec': 20, 'unit': 282100293206678302019643242878, 'val': 1}
  • id: 1400873
    {'lmfdb_iso': '29040.b', 'p': 41, 'prec': 20, 'unit': 1424165276739658361582848520606, 'val': 1}
  • id: 1400874
    {'lmfdb_iso': '29040.b', 'p': 43, 'prec': 20, 'unit': 1288945968464858149280322131984, 'val': 1}
  • id: 1400880
    {'lmfdb_iso': '29040.b', 'p': 53, 'prec': 20, 'unit': 395971180219883726880783376406002, 'val': 1}
  • id: 1400883
    {'lmfdb_iso': '29040.b', 'p': 61, 'prec': 20, 'unit': 1188496281461668397171294083626821, 'val': 1}
  • id: 1400870
    {'lmfdb_iso': '29040.b', 'p': 67, 'prec': 20, 'unit': 42105156510856337066622075748270307, 'val': 1}
  • id: 1400881
    {'lmfdb_iso': '29040.b', 'p': 73, 'prec': 20, 'unit': 132625125040906365597515605820595329, 'val': 1}
  • id: 1400877
    {'lmfdb_iso': '29040.b', 'p': 79, 'prec': 20, 'unit': 201954457775321712918282706999363437, 'val': 1}
  • id: 1400879
    {'lmfdb_iso': '29040.b', 'p': 83, 'prec': 20, 'unit': 2345900605243155577506300623694519073, 'val': 1}
  • id: 1400882
    {'lmfdb_iso': '29040.b', 'p': 89, 'prec': 20, 'unit': 3315741010018435902813853958025265251, 'val': 1}
  • id: 1400869
    {'lmfdb_iso': '29040.b', 'p': 97, 'prec': 20, 'unit': 45525886216146264099956797721660920950, '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: 193252
    {'Ciso': '29040ch', 'Clabel': '29040ch7', 'Cnumber': 7, 'abc_quality': 1.0818126452233845, 'absD': 587761422336000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -10325696, -12767623680], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 829440, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4562608021754822617374462320', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': 44, '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', '40.12.0.v.1', '60.48.0.c.3', '88.12.0.?', '120.192.5.?', '132.48.0.?', '220.12.0.?', '264.192.1.?', '440.24.0.?', '660.96.0.?', '1320.384.5.?'], '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': '7.5161523575625583727314364192', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [3, 4, 1936], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232156', 'prec': 103}, 'szpiro_ratio': 5.844835662263705, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193253
    {'Ciso': '29040ch', 'Clabel': '29040ch8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 42517464000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -878016, -42806784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 829440, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4562608021754822617374462320', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': 44, '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', '88.12.0.?', '120.192.5.?', '132.96.0.?', '264.192.1.?', '440.24.0.?', '1320.384.5.?'], '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': '7.5161523575625583727314364192', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 1936], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232156', 'prec': 103}, 'szpiro_ratio': 5.1253078336119495, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193251
    {'Ciso': '29040ch', 'Clabel': '29040ch6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 65306824704000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -645696, -199111680], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 414720, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1096872118955096070288301713', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': 44, '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', '40.12.0.a.1', '60.96.1.h.3', '88.12.0.?', '120.192.5.?', '132.96.0.?', '220.12.0.?', '264.192.1.?', '440.24.0.?', '660.192.1.?', '1320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7580761787812791863657182096', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 1936], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626086', 'prec': 103}, 'szpiro_ratio': 5.035587213356115, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 193250
    {'Ciso': '29040ch', 'Clabel': '29040ch5', 'Cnumber': 5, 'abc_quality': 1.0501740895315954, 'absD': 244900592640000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -558576, 160868160], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 276480, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9069546578414274160398236135', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': 44, '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', '88.12.0.?', '120.192.5.?', '132.96.0.?', '264.192.1.?', '440.24.0.?', '1320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5053841191875194575771454731', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 9680], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703060', 'prec': 107}, 'szpiro_ratio': 4.993275425003906, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193249
    {'Ciso': '29040ch', 'Clabel': '29040ch4', 'Cnumber': 4, 'abc_quality': 1.0339287621454463, 'absD': 38563026919464960, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -132656, -15973824], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 276480, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9069546578414274160398236135', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': 44, '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', '40.12.0.v.1', '60.48.0.c.4', '88.12.0.?', '120.192.5.?', '132.48.0.?', '220.12.0.?', '264.192.1.?', '440.24.0.?', '660.96.0.?', '1320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5053841191875194575771454731', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [3, 4, 9680], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703060', 'prec': 107}, 'szpiro_ratio': 4.57358798443936, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193247
    {'Ciso': '29040ch', 'Clabel': '29040ch2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 528985280102400, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -35856, 2379456], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 138240, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5603810675614547613312075528', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': 44, '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', '40.12.0.a.1', '60.96.1.h.1', '88.12.0.?', '120.192.5.?', '132.96.0.?', '220.12.0.?', '264.192.1.?', '440.24.0.?', '660.192.1.?', '1320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2526920595937597287885727365', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 9680], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635764', 'prec': 107}, 'szpiro_ratio': 4.191672763409699, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 193248
    {'Ciso': '29040ch', 'Clabel': '29040ch3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 11145698082816000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -26176, -5325824], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 207360, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7631136216155369523202141105', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': 44, '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', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.2', '88.12.0.?', '120.192.5.?', '132.96.0.?', '220.12.0.?', '264.192.1.?', '440.24.0.?', '660.192.1.?', '1320.384.5.?'], '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': '7.5161523575625583727314364192', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1815], [3, 4, 1936], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979994', 'prec': 107}, 'szpiro_ratio': 4.330548429392492, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 193246
    {'Ciso': '29040ch', 'Clabel': '29040ch1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 15673637928960, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [0, -1, 0, 2864, 180160], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 29040, 'degree': 69120, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2138074772814821066225914921', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '29040.b', 'lmfdb_label': '29040.b8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': 44, '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', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.4', '88.12.0.?', '120.192.5.?', '132.96.0.?', '220.12.0.?', '264.192.1.?', '440.24.0.?', '660.192.1.?', '1320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5053841191875194575771454731', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1815], [3, 4, 9680], [5, 6, 5808], [11, 62, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241834', 'prec': 107}, 'szpiro_ratio': 3.6721816743843214, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}