Elliptic curve isogeny class data - 495.a

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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, -1, 0, 0, 3, 0, 1, 1, 0, 2, 0, 0, -1, -6, 0, -4, 1], 'aplist': [-1, 0, -1, 0, 1, 2, -6, -4, -4, -6, -8, -2, -2, 4, 12, 2, -4, -10, -16, -8, 14, 8, 4, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 495, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '495.a', 'trace_hash': 91216303966333709}
• ec_padic •

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

  
  
  • id: 7606
    {'lmfdb_iso': '495.a', 'p': 13, 'prec': 20, 'unit': 68673702297886553638, 'val': 2}
  • id: 7608
    {'lmfdb_iso': '495.a', 'p': 17, 'prec': 20, 'unit': 54768245293043587501371, 'val': 1}
  • id: 7609
    {'lmfdb_iso': '495.a', 'p': 19, 'prec': 20, 'unit': 749826309682637209024763, 'val': 1}
  • id: 7613
    {'lmfdb_iso': '495.a', 'p': 23, 'prec': 20, 'unit': 44716277298051597809380776, 'val': 1}
  • id: 7605
    {'lmfdb_iso': '495.a', 'p': 29, 'prec': 20, 'unit': 5346828069996644997365741420, 'val': 1}
  • id: 7617
    {'lmfdb_iso': '495.a', 'p': 31, 'prec': 20, 'unit': 8574796192999942819461844974, 'val': 1}
  • id: 7601
    {'lmfdb_iso': '495.a', 'p': 37, 'prec': 20, 'unit': 187397252322702975114073102669, 'val': 1}
  • id: 7603
    {'lmfdb_iso': '495.a', 'p': 41, 'prec': 20, 'unit': 2014852069761477169812703009560, 'val': 1}
  • id: 7604
    {'lmfdb_iso': '495.a', 'p': 43, 'prec': 20, 'unit': 9872797671136281335496024701535, 'val': 1}
  • id: 7615
    {'lmfdb_iso': '495.a', 'p': 47, 'prec': 20, 'unit': 16617134706163323985370139000688, 'val': 1}
  • id: 7610
    {'lmfdb_iso': '495.a', 'p': 53, 'prec': 20, 'unit': 436202646659668068909528047561578, 'val': 1}
  • id: 7611
    {'lmfdb_iso': '495.a', 'p': 59, 'prec': 20, 'unit': 545521419970160167854383977646721, 'val': 1}
  • id: 7616
    {'lmfdb_iso': '495.a', 'p': 61, 'prec': 20, 'unit': 3298084002508714388650150462155088, 'val': 1}
  • id: 7600
    {'lmfdb_iso': '495.a', 'p': 67, 'prec': 20, 'unit': 35500270315518656420449739118430552, 'val': 1}
  • id: 7602
    {'lmfdb_iso': '495.a', 'p': 71, 'prec': 20, 'unit': 80937299401459884745275101409393763, 'val': 1}
  • id: 7612
    {'lmfdb_iso': '495.a', 'p': 73, 'prec': 20, 'unit': 62013580246777389863234375273173470, 'val': 1}
  • id: 7607
    {'lmfdb_iso': '495.a', 'p': 79, 'prec': 20, 'unit': 542589791789418837739433238360144941, 'val': 1}
  • id: 7599
    {'lmfdb_iso': '495.a', 'p': 83, 'prec': 20, 'unit': 1723866979688825506868167638555852430, 'val': 1}
  • id: 7614
    {'lmfdb_iso': '495.a', 'p': 89, 'prec': 20, 'unit': 3363387975405420406007796396910791127, 'val': 1}
  • id: 7598
    {'lmfdb_iso': '495.a', 'p': 97, 'prec': 20, 'unit': 23244356651196206127831020878151587294, '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: 2197
    {'Ciso': '495a', 'Clabel': '495a3', 'Cnumber': 3, 'abc_quality': 1.0771710471613196, 'absD': 5011875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, -1, 1, -533, -4598], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 495, 'degree': 128, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.26364066435929594503463520882', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [22930509321, 6875], 'lmfdb_iso': '495.a', 'lmfdb_label': '495.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -59, 190], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0.z.1', '44.12.0.h.1', '120.24.0.?', '132.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3186317800226628430785586238', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 6, 55], [5, 6, 99], [11, 12, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'szpiro_ratio': 4.907264795124734, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2198
    {'Ciso': '495a', 'Clabel': '495a4', 'Cnumber': 4, 'abc_quality': 0.9459068014464316, 'absD': 53366445, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, -1, 1, -263, 1666], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 495, 'degree': 128, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.26364066435929594503463520882', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [2749884201, 73205], 'lmfdb_iso': '495.a', 'lmfdb_label': '495.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -29, -52], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '12.12.0-4.c.1.1', '20.12.0.g.1', '60.24.0-20.g.1.1', '88.12.0.?', '264.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.32965794500566571076963965595', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 55], [5, 6, 99], [11, 12, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'szpiro_ratio': 4.565433904396837, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2196
    {'Ciso': '495a', 'Clabel': '495a2', 'Cnumber': 2, 'abc_quality': 1.0555982735754514, 'absD': 2205225, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 660, 'ainvs': [1, -1, 1, -38, -44], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 495, 'degree': 64, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.082932925920676709673980851907', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [8120601, 3025], 'lmfdb_iso': '495.a', 'lmfdb_label': '495.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4, 3], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0.b.1', '44.12.0.a.1', '60.24.0-20.b.1.2', '132.24.0.?', '220.24.0.?', '660.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.65931589001133142153927931191', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 55], [5, 6, 99], [11, 12, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63223907025473155537160347037', 'prec': 107}, 'szpiro_ratio': 3.626622447120263, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2195
    {'Ciso': '495a', 'Clabel': '495a1', 'Cnumber': 1, 'abc_quality': 0.7920712085843463, 'absD': 40095, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, -1, 1, 7, -8], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 495, 'degree': 32, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.42950651620064936438259691264', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [59319, 55], 'lmfdb_iso': '495.a', 'lmfdb_label': '495.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 1, 0], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '40.12.0.z.1', '60.12.0-4.c.1.2', '88.12.0.?', '110.6.0.?', '120.24.0.?', '132.12.0.?', '220.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3186317800226628430785586238', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 55], [5, 6, 99], [11, 12, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97881266053470421008021953110', 'prec': 107}, 'szpiro_ratio': 2.8337811240101165, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}