Elliptic curve isogeny class data - 7440.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, 0, -1, 0, -1, 0, -4, 0, 1, 0, 4, 0, 2, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, -1, -1, -4, 4, 2, 2, -4, -4, -2, 1, -6, 10, 4, -8, -6, -8, 10, 12, 0, 14, 8, -4, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 7440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7440.a', 'trace_hash': 1262306510967425391}
• ec_padic •

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

  
  
  • id: 302740
    {'lmfdb_iso': '7440.a', 'p': 7, 'prec': 20, 'unit': 2359857490781340, 'val': 1}
  • id: 302738
    {'lmfdb_iso': '7440.a', 'p': 11, 'prec': 20, 'unit': 45927691530578607146, 'val': 1}
  • id: 302744
    {'lmfdb_iso': '7440.a', 'p': 13, 'prec': 20, 'unit': 379646241161572703114, 'val': 1}
  • id: 302746
    {'lmfdb_iso': '7440.a', 'p': 17, 'prec': 20, 'unit': 7670376775683910833578, 'val': 1}
  • id: 302747
    {'lmfdb_iso': '7440.a', 'p': 19, 'prec': 20, 'unit': 334105692711756102481028, 'val': 1}
  • id: 302751
    {'lmfdb_iso': '7440.a', 'p': 23, 'prec': 20, 'unit': 1392402384646864245176448, 'val': 1}
  • id: 302743
    {'lmfdb_iso': '7440.a', 'p': 29, 'prec': 20, 'unit': 5341633476603629362023353821, 'val': 1}
  • id: 302739
    {'lmfdb_iso': '7440.a', 'p': 37, 'prec': 20, 'unit': 410396219869238124777934535078, 'val': 1}
  • id: 302741
    {'lmfdb_iso': '7440.a', 'p': 41, 'prec': 20, 'unit': 3076389111967200468927551642913, 'val': 1}
  • id: 302742
    {'lmfdb_iso': '7440.a', 'p': 43, 'prec': 20, 'unit': 6750480297273049010038258051299, 'val': 1}
  • id: 302753
    {'lmfdb_iso': '7440.a', 'p': 47, 'prec': 20, 'unit': 18648608168169299675271245545237, 'val': 1}
  • id: 302748
    {'lmfdb_iso': '7440.a', 'p': 53, 'prec': 20, 'unit': 409363091977735155826396233230722, 'val': 1}
  • id: 302749
    {'lmfdb_iso': '7440.a', 'p': 59, 'prec': 20, 'unit': 2242390358682785040802946784820906, 'val': 1}
  • id: 302754
    {'lmfdb_iso': '7440.a', 'p': 61, 'prec': 20, 'unit': 7546546216576266303786621346780882, 'val': 1}
  • id: 302737
    {'lmfdb_iso': '7440.a', 'p': 67, 'prec': 20, 'unit': 6687446368000495236837030699357645, 'val': 1}
  • id: 302750
    {'lmfdb_iso': '7440.a', 'p': 73, 'prec': 20, 'unit': 81383490392262903274047960831002264, 'val': 1}
  • id: 302745
    {'lmfdb_iso': '7440.a', 'p': 79, 'prec': 20, 'unit': 853538224310456302217720291010418416, 'val': 1}
  • id: 302755
    {'lmfdb_iso': '7440.a', 'p': 83, 'prec': 20, 'unit': 2542922668276892574096909363734160493, 'val': 1}
  • id: 302752
    {'lmfdb_iso': '7440.a', 'p': 89, 'prec': 20, 'unit': 4137490599080996682123313670088188730, 'val': 1}
  • id: 302736
    {'lmfdb_iso': '7440.a', 'p': 97, 'prec': 20, 'unit': 198085817541412882078577830855944043, '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: 47743
    {'Ciso': '7440k', 'Clabel': '7440k3', 'Cnumber': 3, 'abc_quality': 1.0811017420255853, 'absD': 76600525824000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, -1, 0, -24216, 1396080], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7440, 'degree': 27648, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4237308264299751308208064534', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [383432500775449, 18701300250], 'lmfdb_iso': '7440.a', 'lmfdb_label': '7440.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1514, -21814], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '20.12.0-4.c.1.2', '40.24.0-40.v.1.2', '744.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2129354365724578267077374299', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 496], [5, 6, 1488], [31, 32, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058364587002982140357433194', 'prec': 103}, 'szpiro_ratio': 4.699911166074662, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 47742
    {'Ciso': '7440k', 'Clabel': '7440k2', 'Cnumber': 2, 'abc_quality': 0.9401776395571105, 'absD': 2214144000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, -1, 0, -4216, -75920], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7440, 'degree': 13824, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0771572361500024761121903927', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [2023804595449, 540562500], 'lmfdb_iso': '7440.a', 'lmfdb_label': '7440.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -264, 1186], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0-2.a.1.1', '40.24.0-40.a.1.2', '372.12.0.?', '744.24.0.?', '1860.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4258708731449156534154748599', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 496], [5, 6, 1488], [31, 32, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38401005559005716669495827124', 'prec': 103}, 'szpiro_ratio': 4.111643714507184, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 47741
    {'Ciso': '7440k', 'Clabel': '7440k1', 'Cnumber': 1, 'abc_quality': 0.9288659679318033, 'absD': 761856000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, -1, 0, -3896, -92304], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7440, 'degree': 6912, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73058364587002982140357433197', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1597099875769, 186000], 'lmfdb_iso': '7440.a', 'lmfdb_label': '7440.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -244, 1442], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '20.12.0-4.c.1.1', '40.24.0-40.bb.1.1', '372.12.0.?', '744.24.0.?', '930.6.0.?', '1860.24.0.?', '3720.48.0.?'], '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': '4.8517417462898313068309497197', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 465], [3, 4, 496], [5, 6, 1488], [31, 32, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.037436465310084511986342210512', 'prec': 107}, 'szpiro_ratio': 4.085081770941186, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 47744
    {'Ciso': '7440k', 'Clabel': '7440k4', 'Cnumber': 4, 'abc_quality': 0.9714123101736262, 'absD': 186000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, -1, 0, 10664, -504464], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7440, 'degree': 27648, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4237308264299751308208064534', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [32740359775271, 45410156250], 'lmfdb_iso': '7440.a', 'lmfdb_label': '7440.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 666, 7882], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.bb.1.6', '372.12.0.?', '744.24.0.?', '3720.48.0.?'], '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': '4.8517417462898313068309497197', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 93], [3, 4, 496], [5, 6, 1488], [31, 32, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058364587002982140357433194', 'prec': 103}, 'szpiro_ratio': 4.461376848302977, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}