Elliptic curve isogeny class data - 51425.m

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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, 0, -1, 0, 0, 4, 3, -3, 0, 0, 0, -2, -4, 0, -1, 1, 3, 4, 0], 'aplist': [-1, 0, 0, 4, 0, -2, 1, 4, -4, -6, 4, 2, 6, 4, 0, -6, -12, 10, -4, -4, -6, -12, -4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 51425, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '51425.m', 'trace_hash': 788062032746937227}
• ec_padic •

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

  
  
  • id: 2588265
    {'lmfdb_iso': '51425.m', 'p': 7, 'prec': 20, 'unit': 1521973580723751, 'val': 2}
  • id: 2588269
    {'lmfdb_iso': '51425.m', 'p': 13, 'prec': 20, 'unit': 1419346870813788269042, 'val': 1}
  • id: 2588261
    {'lmfdb_iso': '51425.m', 'p': 19, 'prec': 20, 'unit': 1565329222106697728522798, 'val': 1}
  • id: 2588274
    {'lmfdb_iso': '51425.m', 'p': 23, 'prec': 20, 'unit': 42654154555876528562085194, 'val': 1}
  • id: 2588268
    {'lmfdb_iso': '51425.m', 'p': 29, 'prec': 20, 'unit': 4438862224851787060221570953, 'val': 1}
  • id: 2588279
    {'lmfdb_iso': '51425.m', 'p': 31, 'prec': 20, 'unit': 3511149794932029702393038090, 'val': 1}
  • id: 2588264
    {'lmfdb_iso': '51425.m', 'p': 37, 'prec': 20, 'unit': 330727300653880009168714628295, 'val': 1}
  • id: 2588266
    {'lmfdb_iso': '51425.m', 'p': 41, 'prec': 20, 'unit': 416924309160559977172929129010, 'val': 1}
  • id: 2588267
    {'lmfdb_iso': '51425.m', 'p': 43, 'prec': 20, 'unit': 2504731044833548268804928576673, 'val': 1}
  • id: 2588272
    {'lmfdb_iso': '51425.m', 'p': 53, 'prec': 20, 'unit': 408867014150304812612496964852108, 'val': 1}
  • id: 2588277
    {'lmfdb_iso': '51425.m', 'p': 59, 'prec': 20, 'unit': 1328131598941817053212616206835978, 'val': 1}
  • id: 2588278
    {'lmfdb_iso': '51425.m', 'p': 61, 'prec': 20, 'unit': 7284409026215699911654645314295323, 'val': 1}
  • id: 2588263
    {'lmfdb_iso': '51425.m', 'p': 67, 'prec': 20, 'unit': 31397974471285818006873200013771815, 'val': 1}
  • id: 2588276
    {'lmfdb_iso': '51425.m', 'p': 71, 'prec': 20, 'unit': 41149000700943936625680764109047124, 'val': 1}
  • id: 2588273
    {'lmfdb_iso': '51425.m', 'p': 73, 'prec': 20, 'unit': 145073967330194399054596042485946276, 'val': 1}
  • id: 2588270
    {'lmfdb_iso': '51425.m', 'p': 79, 'prec': 20, 'unit': 1119023406858037462433714199742756741, 'val': 1}
  • id: 2588271
    {'lmfdb_iso': '51425.m', 'p': 83, 'prec': 20, 'unit': 1277220572205639957949622931697396238, 'val': 1}
  • id: 2588275
    {'lmfdb_iso': '51425.m', 'p': 89, 'prec': 20, 'unit': 7390523606569470098570632051639783281, 'val': 1}
  • id: 2588262
    {'lmfdb_iso': '51425.m', 'p': 97, 'prec': 20, 'unit': 31968932864674217170148187925556201762, '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: 341495
    {'Ciso': '51425u', 'Clabel': '51425u4', 'Cnumber': 4, 'abc_quality': 1.0313050753900588, 'absD': 470570890625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 59840, 'ainvs': [1, -1, 1, -274330, 55372672], 'analytic_rank': 1, 'bad_primes': [5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51425, 'degree': 184320, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6270304716748919783739184514', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '51425.m', 'lmfdb_label': '51425.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '32.48.0.f.2', '34.6.0.a.1', '68.12.0.g.1', '136.48.0.?', '220.12.0.?', '272.192.7.?', '440.24.0.?', '544.384.21.?', '880.48.0.?', '1088.768.53.?', '1760.96.0.?', '3740.24.0.?', '7480.96.0.?', '14960.384.7.?', '29920.768.21.?', '59840.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3566495650569279006344554764', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 14, 2057], [11, 62, 425], [17, 18, 3025]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300420', 'prec': 107}, 'szpiro_ratio': 4.533592004179279, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 341493
    {'Ciso': '51425u', 'Clabel': '51425u2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 7999705140625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 29920, 'ainvs': [1, -1, 1, -17205, 862172], 'analytic_rank': 1, 'bad_primes': [5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51425, 'degree': 92160, 'elladic_images': ['16.48.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2804568813949193236653023906', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '51425.m', 'lmfdb_label': '51425.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': -55, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.f.1', '16.48.0.c.2', '68.24.0.b.1', '136.96.3.?', '220.24.0.?', '272.384.21.?', '440.48.0.?', '544.768.53.?', '880.96.0.?', '3740.48.0.?', '7480.192.3.?', '14960.768.21.?', '29920.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6783247825284639503172277382', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3025], [5, 14, 2057], [11, 62, 425], [17, 18, 3025]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906500', 'prec': 107}, 'szpiro_ratio': 3.7677791026975704, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 341492
    {'Ciso': '51425u', 'Clabel': '51425u1', 'Cnumber': 1, 'abc_quality': 1.024323072883995, 'absD': 470570890625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 59840, 'ainvs': [1, -1, 1, -2080, -15078], 'analytic_rank': 1, 'bad_primes': [5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51425, 'degree': 46080, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93388329111494666895668632991', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [35937, 17], 'lmfdb_iso': '51425.m', 'lmfdb_label': '51425.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 0], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '32.48.0.f.2', '34.6.0.a.1', '68.12.0.g.1', '136.48.0.?', '220.12.0.?', '272.192.7.?', '440.24.0.?', '544.384.21.?', '880.48.0.?', '1088.768.53.?', '1760.96.0.?', '3740.24.0.?', '7480.96.0.?', '14960.384.7.?', '29920.768.21.?', '59840.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3566495650569279006344554764', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 14, 2057], [11, 62, 425], [17, 18, 3025]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'szpiro_ratio': 3.1834351693231904, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 341494
    {'Ciso': '51425u', 'Clabel': '51425u3', 'Cnumber': 3, 'abc_quality': 1.1807067659885138, 'absD': 2311914785640625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 59840, 'ainvs': [1, -1, 1, -2080, 2314172], 'analytic_rank': 1, 'bad_primes': [5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 51425, 'degree': 184320, 'elladic_images': ['16.48.0.76'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6270304716748919783739184514', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '51425.m', 'lmfdb_label': '51425.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.t.1', '16.48.0.m.2', '136.48.1.?', '220.24.0.?', '272.192.9.?', '440.48.0.?', '544.384.21.?', '880.96.0.?', '1088.768.53.?', '7480.96.1.?', '14960.384.9.?', '29920.768.21.?', '59840.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3391623912642319751586138691', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3025], [5, 14, 2057], [11, 62, 425], [17, 18, 3025]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300420', 'prec': 107}, 'szpiro_ratio': 3.948404898922372, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}