Elliptic curve isogeny class data - 4400.p

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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, 0, 0, 0, 0, 0, 0, -3, 0, 1, 0, -2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 0, 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': 4400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4400.p', 'trace_hash': 225023270854830990}
• ec_padic •

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

  
  
  • id: 156535
    {'lmfdb_iso': '4400.p', 'p': 13, 'prec': 20, 'unit': 71998101735890318732, 'val': 1}
  • id: 156537
    {'lmfdb_iso': '4400.p', 'p': 17, 'prec': 20, 'unit': 33831579172463933192542, 'val': 1}
  • id: 156538
    {'lmfdb_iso': '4400.p', 'p': 19, 'prec': 20, 'unit': 1632718491442015824402464, 'val': 1}
  • id: 156542
    {'lmfdb_iso': '4400.p', 'p': 23, 'prec': 20, 'unit': 16199065664555589864374240, 'val': 1}
  • id: 156534
    {'lmfdb_iso': '4400.p', 'p': 29, 'prec': 20, 'unit': 1292851152662728682848797942, 'val': 1}
  • id: 156546
    {'lmfdb_iso': '4400.p', 'p': 31, 'prec': 20, 'unit': 58626022419260386792360658, 'val': 1}
  • id: 156530
    {'lmfdb_iso': '4400.p', 'p': 37, 'prec': 20, 'unit': 490055976814464215333638327062, 'val': 1}
  • id: 156532
    {'lmfdb_iso': '4400.p', 'p': 41, 'prec': 20, 'unit': 1952924057407431686953537119591, 'val': 1}
  • id: 156533
    {'lmfdb_iso': '4400.p', 'p': 43, 'prec': 20, 'unit': 4220524986122926314345012126282, 'val': 1}
  • id: 156544
    {'lmfdb_iso': '4400.p', 'p': 47, 'prec': 20, 'unit': 45893283826340618123199125263466, 'val': 1}
  • id: 156539
    {'lmfdb_iso': '4400.p', 'p': 53, 'prec': 20, 'unit': 25773025617251809178166168890959, 'val': 1}
  • id: 156540
    {'lmfdb_iso': '4400.p', 'p': 59, 'prec': 20, 'unit': 296079117081707738309180555414421, 'val': 1}
  • id: 156545
    {'lmfdb_iso': '4400.p', 'p': 61, 'prec': 20, 'unit': 3804470563153220025737194414210655, 'val': 1}
  • id: 156529
    {'lmfdb_iso': '4400.p', 'p': 67, 'prec': 20, 'unit': 14404505647509565696117973756921501, 'val': 1}
  • id: 156531
    {'lmfdb_iso': '4400.p', 'p': 71, 'prec': 20, 'unit': 33192385092926395130160228424511636, 'val': 1}
  • id: 156541
    {'lmfdb_iso': '4400.p', 'p': 73, 'prec': 20, 'unit': 148650453669589398368448755312796343, 'val': 1}
  • id: 156536
    {'lmfdb_iso': '4400.p', 'p': 79, 'prec': 20, 'unit': 213152667005957960968320463618222660, 'val': 1}
  • id: 156528
    {'lmfdb_iso': '4400.p', 'p': 83, 'prec': 20, 'unit': 1479994285714462517350928064862441577, 'val': 1}
  • id: 156543
    {'lmfdb_iso': '4400.p', 'p': 89, 'prec': 20, 'unit': 9714545230705918260814757303754331851, 'val': 1}
  • id: 156527
    {'lmfdb_iso': '4400.p', 'p': 97, 'prec': 20, 'unit': 19323101737732167624722820746495421719, '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: 26942
    {'Ciso': '4400q', 'Clabel': '4400q3', 'Cnumber': 3, 'abc_quality': 1.0771710471613196, 'absD': 440000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -23675, -1401750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 6144, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2122006568022365960546243784', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [22930509321, 6875], 'lmfdb_iso': '4400.p', 'lmfdb_label': '4400.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -59, 190], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '20.12.0-4.c.1.1', '40.24.0-40.z.1.2', '44.12.0.h.1', '88.24.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6009492369241822740352406890', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740967', 'prec': 107}, 'szpiro_ratio': 4.986092942113602, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 26943
    {'Ciso': '4400q', 'Clabel': '4400q4', 'Cnumber': 4, 'abc_quality': 0.9459068014464316, 'absD': 4685120000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -11675, 474250], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 6144, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2122006568022365960546243784', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [2749884201, 73205], 'lmfdb_iso': '4400.p', 'lmfdb_label': '4400.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -29, -52], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '10.6.0.a.1', '20.24.0-20.g.1.2', '88.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1502373092310455685088101723', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740967', 'prec': 107}, 'szpiro_ratio': 4.733283484409926, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 26941
    {'Ciso': '4400q', 'Clabel': '4400q2', 'Cnumber': 2, 'abc_quality': 1.0555982735754514, 'absD': 193600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 220, 'ainvs': [0, 0, 0, -1675, -15750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 3072, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86562706652226394134600831770', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [8120601, 3025], 'lmfdb_iso': '4400.p', 'lmfdb_label': '4400.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4, 3], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '20.24.0-20.b.1.1', '44.24.0-44.a.1.3', '220.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3004746184620911370176203445', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63223907025473155537160347037', 'prec': 107}, 'szpiro_ratio': 4.038962339545881, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 26940
    {'Ciso': '4400q', 'Clabel': '4400q1', 'Cnumber': 1, 'abc_quality': 0.7920712085843463, 'absD': 3520000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, 325, -1750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4400, 'degree': 1536, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51905347624229128663739225697', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [59319, 55], 'lmfdb_iso': '4400.p', 'lmfdb_label': '4400.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 1, 0], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.z.1.12', '88.24.0.?', '110.6.0.?', '220.24.0.?', '440.48.0.?'], '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': '1.1502373092310455685088101723', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 18, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97881266053470421008021953110', 'prec': 107}, 'szpiro_ratio': 3.452597004003127, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}