Elliptic curve isogeny class data - 1200.k

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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, 0, 0, -4, 0, 1, 0, 0, 0, -2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 1, 0, -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': 1200, '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': '1200.k', 'trace_hash': 1060515526536690942}
• ec_padic •

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

  
  
  • id: 29618
    {'lmfdb_iso': '1200.k', 'p': 7, 'prec': 20, 'unit': 4479301866621222, 'val': 1}
  • id: 29622
    {'lmfdb_iso': '1200.k', 'p': 13, 'prec': 20, 'unit': 1426580148430129424684, 'val': 1}
  • id: 29624
    {'lmfdb_iso': '1200.k', 'p': 17, 'prec': 20, 'unit': 11296914599245843271025, 'val': 2}
  • id: 29614
    {'lmfdb_iso': '1200.k', 'p': 19, 'prec': 20, 'unit': 574682262168784720865354, 'val': 1}
  • id: 29621
    {'lmfdb_iso': '1200.k', 'p': 29, 'prec': 20, 'unit': 866255873847176441281463, 'val': 1}
  • id: 29630
    {'lmfdb_iso': '1200.k', 'p': 31, 'prec': 20, 'unit': 12835786089801502534144642134, 'val': 1}
  • id: 29617
    {'lmfdb_iso': '1200.k', 'p': 37, 'prec': 20, 'unit': 624107406841802359399580018221, 'val': 1}
  • id: 29619
    {'lmfdb_iso': '1200.k', 'p': 41, 'prec': 20, 'unit': 1964811669102606010125097917847, 'val': 1}
  • id: 29620
    {'lmfdb_iso': '1200.k', 'p': 43, 'prec': 20, 'unit': 903688038573451697105210062943, 'val': 1}
  • id: 29626
    {'lmfdb_iso': '1200.k', 'p': 53, 'prec': 20, 'unit': 189838945616838290213162051845198, 'val': 1}
  • id: 29629
    {'lmfdb_iso': '1200.k', 'p': 61, 'prec': 20, 'unit': 2586350387148562729456627345593690, 'val': 1}
  • id: 29616
    {'lmfdb_iso': '1200.k', 'p': 67, 'prec': 20, 'unit': 166350373518686871759124019862751, 'val': 1}
  • id: 29627
    {'lmfdb_iso': '1200.k', 'p': 73, 'prec': 20, 'unit': 182641148605892861646508793095049549, 'val': 1}
  • id: 29623
    {'lmfdb_iso': '1200.k', 'p': 79, 'prec': 20, 'unit': 1072511775348153478487376274871616774, 'val': 1}
  • id: 29625
    {'lmfdb_iso': '1200.k', 'p': 83, 'prec': 20, 'unit': 384677771885633866378418999966208148, 'val': 1}
  • id: 29628
    {'lmfdb_iso': '1200.k', 'p': 89, 'prec': 20, 'unit': 2320815966053971002532247238272111865, 'val': 1}
  • id: 29615
    {'lmfdb_iso': '1200.k', 'p': 97, 'prec': 20, 'unit': 42831665810636271500167232733109736897, '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: 6369
    {'Ciso': '1200p', 'Clabel': '1200p8', 'Cnumber': 8, 'abc_quality': 1.0818126452233845, 'absD': 5184000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -2133408, 1198675188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 13824, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0620321219933471770068541096', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.48.0-12.g.1.1', '24.192.1-24.dj.3.13', '40.24.0-40.v.1.3', '60.96.0-60.c.3.13', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3443530508869454452204179666', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232153', 'prec': 103}, 'szpiro_ratio': 7.8043297075987565, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 6368
    {'Ciso': '1200p', 'Clabel': '1200p7', 'Cnumber': 7, 'abc_quality': 1.1359972360691755, 'absD': 375000000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -181408, 3987188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 13824, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0620321219933471770068541096', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': -20, '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', '8.12.0-4.c.1.5', '12.48.0.c.3', '24.192.1-24.da.1.8', '40.24.0-40.bb.1.13', '60.96.0-12.c.3.8', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3774122035477817808816718666', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232153', 'prec': 103}, 'szpiro_ratio': 6.76143875544887, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6367
    {'Ciso': '1200p', 'Clabel': '1200p6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 576000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -133408, 18675188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 6912, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7154585317133745222982380489', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.1.14', '24.192.1-24.cp.2.10', '40.24.0-40.a.1.1', '60.192.1-60.h.3.8', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6887061017738908904408359333', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626083', 'prec': 103}, 'szpiro_ratio': 6.631396776028261, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 6365
    {'Ciso': '1200p', 'Clabel': '1200p4', 'Cnumber': 4, 'abc_quality': 1.0501740895315954, 'absD': 2160000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -115408, -15128812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 4608, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5127259776592923313092314912', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': -20, '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', '8.12.0-4.c.1.5', '12.48.0.c.4', '24.192.1-24.da.3.12', '40.24.0-40.bb.1.13', '60.96.0-12.c.4.8', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7924707345159272602938906222', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703129', 'prec': 107}, 'szpiro_ratio': 6.570069639697088, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6366
    {'Ciso': '1200p', 'Clabel': '1200p5', 'Cnumber': 5, 'abc_quality': 1.0339287621454463, 'absD': 340122240000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -27408, 1495188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 4608, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5127259776592923313092314912', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.48.0-12.g.1.1', '24.192.1-24.dj.4.13', '40.24.0-40.v.1.3', '60.96.0-60.c.4.9', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.44811768362898181507347265555', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703129', 'prec': 107}, 'szpiro_ratio': 5.961770395294205, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 6363
    {'Ciso': '1200p', 'Clabel': '1200p2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 4665600000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -7408, -224812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 2304, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1661523873793196766006154304', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.2.12', '24.192.1-24.cp.4.10', '40.24.0-40.a.1.1', '60.192.1-60.h.1.8', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.89623536725796363014694531109', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635767', 'prec': 107}, 'szpiro_ratio': 5.40821859001312, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 6364
    {'Ciso': '1200p', 'Clabel': '1200p3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 98304000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -5408, 499188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 3456, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3688849414334018675896219882', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.96.0-12.c.1.5', '24.192.1-24.dh.4.14', '30.24.0.b.1', '40.24.0-40.bb.1.10', '60.192.1-60.n.2.1', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3443530508869454452204179666', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979987', 'prec': 107}, 'szpiro_ratio': 5.609506392596976, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6362
    {'Ciso': '1200p', 'Clabel': '1200p1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 138240000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, 592, -16812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 1152, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81957879709934702189199936972', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '1200.k', 'lmfdb_label': '1200.k8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.96.0-12.c.2.5', '24.192.1-24.dh.3.14', '30.24.0.b.1', '40.24.0-40.bb.1.10', '60.192.1-60.n.4.1', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.44811768362898181507347265555', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241835', 'prec': 107}, 'szpiro_ratio': 4.655262922569059, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}