Elliptic curve isogeny class data - 624.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, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, -1, 0, -2, 0, 1, -6, -2, 0, -6, -2, 2, -12, 4, 0, 6, -12, 2, 10, -12, 14, -8, -12, 0, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 624, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '624.b', 'trace_hash': 1262339467443706994}
• ec_padic •

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

  
  
  • id: 10878
    {'lmfdb_iso': '624.b', 'p': 7, 'prec': 20, 'unit': 104742178220285, 'val': 2}
  • id: 10883
    {'lmfdb_iso': '624.b', 'p': 17, 'prec': 20, 'unit': 2624478909966678747894, 'val': 2}
  • id: 10874
    {'lmfdb_iso': '624.b', 'p': 19, 'prec': 20, 'unit': 54541559874663475579318, 'val': 2}
  • id: 10881
    {'lmfdb_iso': '624.b', 'p': 29, 'prec': 20, 'unit': 4606254504758987719701565767, 'val': 1}
  • id: 10890
    {'lmfdb_iso': '624.b', 'p': 31, 'prec': 20, 'unit': 8676043514829903301395885365, 'val': 1}
  • id: 10877
    {'lmfdb_iso': '624.b', 'p': 37, 'prec': 20, 'unit': 473932488913320201553592457175, 'val': 1}
  • id: 10879
    {'lmfdb_iso': '624.b', 'p': 41, 'prec': 20, 'unit': 3243040339814057109673589289420, 'val': 1}
  • id: 10880
    {'lmfdb_iso': '624.b', 'p': 43, 'prec': 20, 'unit': 6053487101920896004830314508279, 'val': 1}
  • id: 10885
    {'lmfdb_iso': '624.b', 'p': 53, 'prec': 20, 'unit': 77550004945861061605183191060891, 'val': 1}
  • id: 10888
    {'lmfdb_iso': '624.b', 'p': 59, 'prec': 20, 'unit': 3196639609917141892645177542012205, 'val': 1}
  • id: 10889
    {'lmfdb_iso': '624.b', 'p': 61, 'prec': 20, 'unit': 5129518297072857460567493987297000, 'val': 1}
  • id: 10876
    {'lmfdb_iso': '624.b', 'p': 67, 'prec': 20, 'unit': 8408961049086563132348099371061392, 'val': 1}
  • id: 10887
    {'lmfdb_iso': '624.b', 'p': 71, 'prec': 20, 'unit': 98866800275080388949557912685352794, 'val': 1}
  • id: 10886
    {'lmfdb_iso': '624.b', 'p': 73, 'prec': 20, 'unit': 243205323650368543180747282465336477, 'val': 1}
  • id: 10882
    {'lmfdb_iso': '624.b', 'p': 79, 'prec': 20, 'unit': 655301202611172130425434622891397508, 'val': 1}
  • id: 10884
    {'lmfdb_iso': '624.b', 'p': 83, 'prec': 20, 'unit': 905127258604654010743816597939869320, 'val': 1}
  • id: 10875
    {'lmfdb_iso': '624.b', 'p': 97, 'prec': 20, 'unit': 32773573560464887155765741900784235283, '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: 2887
    {'Ciso': '624g', 'Clabel': '624g4', 'Cnumber': 4, 'abc_quality': 0.982009299339024, 'absD': 3706989312, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 156, 'ainvs': [0, -1, 0, -748, 7564], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 288, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.57945847283897452665919960952', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [181037698000, 14480427], 'lmfdb_iso': '624.b', 'lmfdb_label': '624.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -748, -7564], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '12.48.0-12.h.1.1', '52.6.0.c.1', '156.96.1.?'], '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': '0.88762628976485519924788705682', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 16], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11736035246567765371437819521', 'prec': 103}, 'szpiro_ratio': 4.889125760935334, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2886
    {'Ciso': '624g', 'Clabel': '624g3', 'Cnumber': 3, 'abc_quality': 1.1880168939497124, 'absD': 316368, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 156, 'ainvs': [0, -1, 0, -733, 7888], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 144, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23288488255900187195058354879', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2725888000000, 19773], 'lmfdb_iso': '624.b', 'lmfdb_label': '624.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -733, -7888], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.48.0-12.i.1.2', '26.6.0.b.1', '78.24.0.?', '156.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.44381314488242759962394352841', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 16], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0018358223723534354781728416373', 'prec': 110}, 'szpiro_ratio': 4.8796877461263, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2885
    {'Ciso': '624g', 'Clabel': '624g2', 'Cnumber': 2, 'abc_quality': 0.9334220298106218, 'absD': 1168128, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 156, 'ainvs': [0, -1, 0, -148, -644], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 96, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.030152328504919680961576991061', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1409938000, 4563], 'lmfdb_iso': '624.b', 'lmfdb_label': '624.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -148, 644], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '12.48.0-12.h.1.3', '52.6.0.c.1', '156.96.1.?'], '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': '2.6628788692945655977436611704', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 208], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43194579186837719198324442324', 'prec': 107}, 'szpiro_ratio': 4.1347680663278386, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2884
    {'Ciso': '624g', 'Clabel': '624g1', 'Cnumber': 1, 'abc_quality': 1.4888653961459486, 'absD': 151632, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 156, 'ainvs': [0, -1, 0, -13, 4], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 624, 'degree': 48, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.31642126177505297374703906967', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384000, 9477], 'lmfdb_iso': '624.b', 'lmfdb_label': '624.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -13, -4], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.48.0-12.i.1.4', '26.6.0.b.1', '78.24.0.?', '156.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3314394346472827988718305852', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 208], [13, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54747032196170141021944977682', 'prec': 107}, 'szpiro_ratio': 3.0118010642396027, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}