Elliptic curve isogeny class data - 117600.hz

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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, 0, 0, 1, 0, 4, 0, 6, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 1, 0, 0, 4, 6, -6, -4, 8, 10, -4, 6, -6, -4, -12, -6, -4, 2, -4, 0, -2, -8, -12, -14, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 117600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '117600.hz', 'trace_hash': 5224248595671677}
• ec_padic •

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

  
  
  • id: 6143537
    {'lmfdb_iso': '117600.hz', 'p': 11, 'prec': 20, 'unit': 36519137995771698105, 'val': 1}
  • id: 6143542
    {'lmfdb_iso': '117600.hz', 'p': 13, 'prec': 20, 'unit': 756146035042313985254, 'val': 1}
  • id: 6143544
    {'lmfdb_iso': '117600.hz', 'p': 17, 'prec': 20, 'unit': 197513315030964254123383, 'val': 1}
  • id: 6143545
    {'lmfdb_iso': '117600.hz', 'p': 19, 'prec': 20, 'unit': 1817023727880278807103261, 'val': 1}
  • id: 6143549
    {'lmfdb_iso': '117600.hz', 'p': 23, 'prec': 20, 'unit': 60788832315938133544847748, 'val': 1}
  • id: 6143541
    {'lmfdb_iso': '117600.hz', 'p': 29, 'prec': 20, 'unit': 3353139961645980579658461046, 'val': 1}
  • id: 6143554
    {'lmfdb_iso': '117600.hz', 'p': 31, 'prec': 20, 'unit': 8002987884718409182094299567, 'val': 1}
  • id: 6143538
    {'lmfdb_iso': '117600.hz', 'p': 37, 'prec': 20, 'unit': 439372136570423496611523716421, 'val': 1}
  • id: 6143539
    {'lmfdb_iso': '117600.hz', 'p': 41, 'prec': 20, 'unit': 2929384710309959692638643029022, 'val': 1}
  • id: 6143540
    {'lmfdb_iso': '117600.hz', 'p': 43, 'prec': 20, 'unit': 182649158282570215290279965166, 'val': 2}
  • id: 6143551
    {'lmfdb_iso': '117600.hz', 'p': 47, 'prec': 20, 'unit': 12840892880116291490392469560898, 'val': 1}
  • id: 6143546
    {'lmfdb_iso': '117600.hz', 'p': 53, 'prec': 20, 'unit': 181501649549022161528714448774022, 'val': 1}
  • id: 6143547
    {'lmfdb_iso': '117600.hz', 'p': 59, 'prec': 20, 'unit': 385583981935777165428244978184615, 'val': 1}
  • id: 6143552
    {'lmfdb_iso': '117600.hz', 'p': 61, 'prec': 20, 'unit': 6754090878532208914406661844877660, 'val': 1}
  • id: 6143536
    {'lmfdb_iso': '117600.hz', 'p': 67, 'prec': 20, 'unit': 23612296945717144927813233670518144, 'val': 1}
  • id: 6143548
    {'lmfdb_iso': '117600.hz', 'p': 73, 'prec': 20, 'unit': 248318248252534798006117738957030818, 'val': 1}
  • id: 6143543
    {'lmfdb_iso': '117600.hz', 'p': 79, 'prec': 20, 'unit': 612358799001910789009220209222358138, 'val': 1}
  • id: 6143553
    {'lmfdb_iso': '117600.hz', 'p': 83, 'prec': 20, 'unit': 519865375176147248073519681189777, 'val': 2}
  • id: 6143550
    {'lmfdb_iso': '117600.hz', 'p': 89, 'prec': 20, 'unit': 9277743914454818605165173928608230331, 'val': 1}
  • id: 6143535
    {'lmfdb_iso': '117600.hz', 'p': 97, 'prec': 20, 'unit': 26389265999539891963774745496497433808, '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: 768920
    {'Ciso': '117600dd', 'Clabel': '117600dd4', 'Cnumber': 4, 'abc_quality': 0.9498145704728139, 'absD': 98825160000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -1372408, -619289812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 117600, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0412596714088229488398779833', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 207, 'isogeny_degrees': [1, 2, 4], 'jinv': [303735479048, 105], 'lmfdb_iso': '117600.hz', 'lmfdb_label': '117600.hz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1120, -14060], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.4', '40.12.0-4.c.1.1', '56.12.0.bb.1', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.477802902012640900684485125', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 39200], [5, 18, 4704], [7, 32, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25627474475584287307610214613', 'prec': 107}, 'szpiro_ratio': 4.626092592385242, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 768919
    {'Ciso': '117600dd', 'Clabel': '117600dd3', 'Cnumber': 3, 'abc_quality': 0.9841207261734332, 'absD': 271176239040000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -178033, 14372063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 117600, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0412596714088229488398779833', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 207, 'isogeny_degrees': [1, 2, 4], 'jinv': [82881856, 36015], 'lmfdb_iso': '117600.hz', 'lmfdb_label': '117600.hz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -145, 385], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.4', '40.12.0-4.c.1.4', '56.12.0.bb.1', '60.12.0.h.1', '84.12.0.?', '120.24.0.?', '140.12.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6194507255031602251711212813', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 39200], [5, 18, 4704], [7, 32, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42956153989582920043041017649', 'prec': 107}, 'szpiro_ratio': 4.101293320698828, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 768917
    {'Ciso': '117600dd', 'Clabel': '117600dd1', 'Cnumber': 1, 'abc_quality': 0.9653881815131621, 'absD': 1297080225000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -86158, -9607312], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 117600, 'degree': 884736, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6946860811288502941312619226', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 207, 'isogeny_degrees': [1, 2], 'jinv': [601211584, 11025], 'lmfdb_iso': '117600.hz', 'lmfdb_label': '117600.hz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -70, -200], 'min_quad_twist_disc': 140, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.2', '40.12.0-2.a.1.1', '56.12.0.a.1', '60.12.0.a.1', '84.12.0.?', '120.24.0.?', '140.12.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.2389014510063204503422425625', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 39200], [5, 18, 4704], [7, 32, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42956153989582920043041017647', 'prec': 107}, 'szpiro_ratio': 3.914797041029495, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 768918
    {'Ciso': '117600dd', 'Clabel': '117600dd2', 'Cnumber': 2, 'abc_quality': 1.2585717066877196, 'absD': 333534915000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -408, -27786312], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 117600, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0412596714088229488398779833', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 207, 'isogeny_degrees': [1, 2, 4], 'jinv': [-8, 354375], 'lmfdb_iso': '117600.hz', 'lmfdb_label': '117600.hz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -648], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.4', '40.12.0-4.c.1.2', '56.12.0.v.1', '120.24.0.?', '140.12.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6194507255031602251711212813', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 39200], [5, 18, 4704], [7, 32, 2400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25627474475584287307610214613', 'prec': 107}, 'szpiro_ratio': 4.094480725072432, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}