Elliptic curve isogeny class data - 55650.bw

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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, 1, -1, 1, 0, -1, -1, 1, 1, 0, 0, -1, 2, -1, 0, 1, -2, 1, -4, 0], 'aplist': [1, -1, 0, -1, 0, 2, -2, -4, 8, 2, 4, 2, -10, -12, -8, 1, 8, 10, -4, 0, 6, -4, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 55650, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '55650.bw', 'trace_hash': 2266508207097414385}
• ec_padic •

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

  
  
  • id: 2816771
    {'lmfdb_iso': '55650.bw', 'p': 13, 'prec': 20, 'unit': 70757383912866467421, 'val': 1}
  • id: 2816773
    {'lmfdb_iso': '55650.bw', 'p': 17, 'prec': 20, 'unit': 91162678300029464718967, 'val': 1}
  • id: 2816774
    {'lmfdb_iso': '55650.bw', 'p': 19, 'prec': 20, 'unit': 42166324618918246511507, 'val': 2}
  • id: 2816777
    {'lmfdb_iso': '55650.bw', 'p': 23, 'prec': 20, 'unit': 53471669528388941087684181, 'val': 1}
  • id: 2816770
    {'lmfdb_iso': '55650.bw', 'p': 29, 'prec': 20, 'unit': 56760938608062640720476064, 'val': 2}
  • id: 2816781
    {'lmfdb_iso': '55650.bw', 'p': 31, 'prec': 20, 'unit': 255742668885732271349719222, 'val': 2}
  • id: 2816767
    {'lmfdb_iso': '55650.bw', 'p': 37, 'prec': 20, 'unit': 254775133388248047361658361567, 'val': 1}
  • id: 2816768
    {'lmfdb_iso': '55650.bw', 'p': 41, 'prec': 20, 'unit': 816309617154199970894256904551, 'val': 1}
  • id: 2816769
    {'lmfdb_iso': '55650.bw', 'p': 43, 'prec': 20, 'unit': 1230527441334139920942701860403, 'val': 1}
  • id: 2816779
    {'lmfdb_iso': '55650.bw', 'p': 47, 'prec': 20, 'unit': 32850347520504410269741224832956, 'val': 1}
  • id: 2816775
    {'lmfdb_iso': '55650.bw', 'p': 59, 'prec': 20, 'unit': 3578824907851093300237925383581625, 'val': 1}
  • id: 2816780
    {'lmfdb_iso': '55650.bw', 'p': 61, 'prec': 20, 'unit': 7742073762672145418468314144403373, 'val': 1}
  • id: 2816766
    {'lmfdb_iso': '55650.bw', 'p': 67, 'prec': 20, 'unit': 46170015146460395482870606959266278, 'val': 1}
  • id: 2816776
    {'lmfdb_iso': '55650.bw', 'p': 73, 'prec': 20, 'unit': 232925737224749355244176771313460335, 'val': 1}
  • id: 2816772
    {'lmfdb_iso': '55650.bw', 'p': 79, 'prec': 20, 'unit': 979060095396005696183397400140499169, 'val': 1}
  • id: 2816765
    {'lmfdb_iso': '55650.bw', 'p': 83, 'prec': 20, 'unit': 1236357934843761072123899889370234875, 'val': 1}
  • id: 2816778
    {'lmfdb_iso': '55650.bw', 'p': 89, 'prec': 20, 'unit': 6559737873993303065461222805647017672, 'val': 1}
  • id: 2816764
    {'lmfdb_iso': '55650.bw', 'p': 97, 'prec': 20, 'unit': 26576606960383047342374170122141833594, '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
  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[]

  
  
  • id: 369581
    {'Ciso': '55650bv', 'Clabel': '55650bv4', 'Cnumber': 4, 'abc_quality': 0.9875172218259044, 'absD': 7074358663591406250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [1, 1, 1, -17344088, -27808885969], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55650, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7648774435785819386859018824', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [36928196050908253259449, 452758954469850], 'lmfdb_iso': '55650.bw', 'lmfdb_label': '55650.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -693764, -222471088], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0-4.c.1.1', '120.24.0.?', '424.12.0.?', '1060.12.0.?', '1272.24.0.?', '2120.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '26.480999397995178604371510357', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1325], [3, 4, 18550], [5, 18, 742], [7, 8, 7950], [53, 54, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9601584873615317513855222158', 'prec': 100}, 'szpiro_ratio': 5.639316098134389, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 369580
    {'Ciso': '55650bv', 'Clabel': '55650bv3', 'Cnumber': 3, 'abc_quality': 0.974878203741737, 'absD': 1146874478356933593750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [1, 1, 1, -4089588, 2732912031], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55650, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7648774435785819386859018824', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [484108118865316036729, 73399966614843750], 'lmfdb_iso': '55650.bw', 'lmfdb_label': '55650.bw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -163584, 21863296], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.s.1', '40.12.0-4.c.1.2', '60.12.0-4.c.1.1', '120.24.0.?', '424.12.0.?', '1272.24.0.?', '2120.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6202498494987946510928775893', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 18550], [5, 18, 742], [7, 8, 7950], [53, 54, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9601584873615317513855222158', 'prec': 100}, 'szpiro_ratio': 5.242639342591425, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 369579
    {'Ciso': '55650bv', 'Clabel': '55650bv2', 'Cnumber': 2, 'abc_quality': 0.9576627180168358, 'absD': 15556664337539062500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [1, 1, 1, -1112838, -410535969], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55650, 'degree': 1474560, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4183038532986092839772858217', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2], 'jinv': [9754377335041367449, 995626517602500], 'lmfdb_iso': '55650.bw', 'lmfdb_label': '55650.bw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -44514, -3284288], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.b.1', '40.12.0-2.a.1.1', '60.12.0-2.a.1.1', '120.24.0.?', '424.12.0.?', '636.12.0.?', '1060.12.0.?', '1272.24.0.?', '2120.24.0.?', '3180.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.240499698997589302185755179', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 18550], [5, 18, 742], [7, 8, 7950], [53, 54, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6135848970815590966769061551', 'prec': 100}, 'szpiro_ratio': 4.885299702703687, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 369578
    {'Ciso': '55650bv', 'Clabel': '55650bv1', 'Cnumber': 1, 'abc_quality': 1.0087590487541898, 'absD': 464030450493750000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [1, 1, 1, 87662, -31177969], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55650, 'degree': 737280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0717302630186366292686697609', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [4768013769464231, 29697948831600], 'lmfdb_iso': '55650.bw', 'lmfdb_label': '55650.bw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3506, -249424], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0-4.c.1.4', '60.12.0-4.c.1.2', '120.24.0.?', '318.6.0.?', '424.12.0.?', '636.12.0.?', '1060.12.0.?', '1272.24.0.?', '2120.24.0.?', '3180.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6202498494987946510928775893', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3975], [3, 4, 18550], [5, 18, 742], [7, 8, 7950], [53, 54, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2670113068015864419682900943', 'prec': 100}, 'szpiro_ratio': 4.396142287408962, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}