Elliptic curve isogeny class data - 1600.e

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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, -2, 0, 0, 0, 2, 0, 1, 0, 4, 0, -6, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, -2, 0, 2, 4, -6, -2, -8, 6, 2, 4, 2, -10, -2, 2, 2, 0, -2, -6, -12, -10, -8, -10, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 1600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1600.e', 'trace_hash': 1343408300769158213}
• ec_padic •

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

  
  
  • id: 42968
    {'lmfdb_iso': '1600.e', 'p': 7, 'prec': 20, 'unit': 7747938491253586, 'val': 1}
  • id: 42966
    {'lmfdb_iso': '1600.e', 'p': 11, 'prec': 20, 'unit': 14091663676191753522, 'val': 1}
  • id: 42972
    {'lmfdb_iso': '1600.e', 'p': 13, 'prec': 20, 'unit': 394242706919745083229, 'val': 1}
  • id: 42974
    {'lmfdb_iso': '1600.e', 'p': 17, 'prec': 20, 'unit': 15522160101620236631420, 'val': 1}
  • id: 42975
    {'lmfdb_iso': '1600.e', 'p': 19, 'prec': 20, 'unit': 1158216163266891018082552, 'val': 1}
  • id: 42978
    {'lmfdb_iso': '1600.e', 'p': 23, 'prec': 20, 'unit': 22561946550014271903499407, 'val': 1}
  • id: 42971
    {'lmfdb_iso': '1600.e', 'p': 29, 'prec': 20, 'unit': 598499210438280798041815176, 'val': 1}
  • id: 42984
    {'lmfdb_iso': '1600.e', 'p': 31, 'prec': 20, 'unit': 5523119501647090644093637963, 'val': 1}
  • id: 42967
    {'lmfdb_iso': '1600.e', 'p': 37, 'prec': 20, 'unit': 430860835641522200704448087661, 'val': 1}
  • id: 42969
    {'lmfdb_iso': '1600.e', 'p': 41, 'prec': 20, 'unit': 1827902015077660430075058570646, 'val': 1}
  • id: 42970
    {'lmfdb_iso': '1600.e', 'p': 43, 'prec': 20, 'unit': 9848660821497654965876889761181, 'val': 1}
  • id: 42973
    {'lmfdb_iso': '1600.e', 'p': 47, 'prec': 20, 'unit': 57765632310178591814028641078591, 'val': 1}
  • id: 42976
    {'lmfdb_iso': '1600.e', 'p': 53, 'prec': 20, 'unit': 202641010550858525772418755713393, 'val': 1}
  • id: 42982
    {'lmfdb_iso': '1600.e', 'p': 61, 'prec': 20, 'unit': 2323868459725255747022721282032153, 'val': 1}
  • id: 42965
    {'lmfdb_iso': '1600.e', 'p': 67, 'prec': 20, 'unit': 6853767305059345459750963288969248, 'val': 1}
  • id: 42980
    {'lmfdb_iso': '1600.e', 'p': 71, 'prec': 20, 'unit': 132888595927880007587496019973420961, 'val': 1}
  • id: 42977
    {'lmfdb_iso': '1600.e', 'p': 73, 'prec': 20, 'unit': 83110057521751224355344670074015466, 'val': 1}
  • id: 42981
    {'lmfdb_iso': '1600.e', 'p': 79, 'prec': 20, 'unit': 1116480060363995282788341181296649757, 'val': 1}
  • id: 42983
    {'lmfdb_iso': '1600.e', 'p': 83, 'prec': 20, 'unit': 2546219875859935329704210087820745525, 'val': 1}
  • id: 42979
    {'lmfdb_iso': '1600.e', 'p': 89, 'prec': 20, 'unit': 289065603110273075634542565820311637, 'val': 1}
  • id: 42964
    {'lmfdb_iso': '1600.e', 'p': 97, 'prec': 20, 'unit': 4642506516601579059474896176285432086, '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: 8747
    {'Ciso': '1600f', 'Clabel': '1600f2', 'Cnumber': 2, 'abc_quality': 0.8781324098347327, 'absD': 320000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 40, 'ainvs': [0, 1, 0, -633, 5863], 'analytic_rank': 1, 'bad_primes': [2, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1600, 'degree': 768, 'elladic_images': ['8.12.0.23'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44524760176345532504539926011', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [438976, 5], 'lmfdb_iso': '1600.e', 'lmfdb_label': '1600.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6, 4], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.1', '10.6.0.a.1', '20.12.0.e.1', '40.48.0-40.br.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63256159353279442549068313954', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0526185350135401716722125280', 'prec': 103}, 'szpiro_ratio': 4.197289996512108, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 8746
    {'Ciso': '1600f', 'Clabel': '1600f1', 'Cnumber': 1, 'abc_quality': 1.0921945706283556, 'absD': 25000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 40, 'ainvs': [0, 1, 0, -8, 238], 'analytic_rank': 1, 'bad_primes': [2, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1600, 'degree': 384, 'elladic_images': ['4.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.098674011483482670336783199384', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [-64, 25], 'lmfdb_iso': '1600.e', 'lmfdb_label': '1600.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1, 15], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.a.1.2', '20.24.0-20.d.1.2', '40.48.0-40.t.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2651231870655888509813662791', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0526185350135401716722125280', 'prec': 103}, 'szpiro_ratio': 3.3195157258465517, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}