Elliptic curve isogeny class data - 266910.ck

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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, 1, 1, 1, 1, 1, -1, 1, 1, 1, -4, 1, -2, -1, 1, 1, 2, 1, 4, 1], 'aplist': [1, 1, 1, -1, -4, -2, 2, 4, 8, -2, -1, -10, 1, -4, 0, 6, -4, -2, -12, -8, -6, 0, 4, -6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 266910, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 8, 4], [16, 1, 8, 4, 2, 4, 8, 16], [2, 8, 1, 2, 4, 8, 4, 2], [4, 4, 2, 1, 2, 4, 2, 4], [8, 2, 4, 2, 1, 2, 4, 8], [16, 4, 8, 4, 2, 1, 8, 16], [8, 8, 4, 2, 4, 8, 1, 8], [4, 16, 2, 4, 8, 16, 8, 1]], 'lmfdb_iso': '266910.ck', 'trace_hash': 931246050644346581}
• lmfdb_iso 266910.ck does not appear in ec_padic
• 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: 1690919
    {'Ciso': '266910ck', 'Clabel': '266910ck8', 'Cnumber': 8, 'abc_quality': 1.0451568947694874, 'absD': 1268853961713740548849854852215284980, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 203360, 'ainvs': [1, 0, 0, -9320773825040, -10952689658836929780], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 13287555072, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '6.0674897140945318363578673034', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [89552893167104768935326075943640273911752961, 1268853961713740548849854852215284980], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -9320773825040, -10952689658836929780], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '10.6.0.a.1', '16.96.0-16.v.2.5', '20.24.0-20.g.1.1', '40.96.0-40.bj.1.2', '80.192.1.?', '656.192.2.?', '992.192.1.?', '3280.384.5.?', '4960.384.5.?', '40672.384.5.?', '203360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '45.026631822814714471392432418', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 5], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '6.0674897140945318363578673034', 'prec': 100}, 'szpiro_ratio': 8.099728063667097, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1690914
    {'Ciso': '266910ck', 'Clabel': '266910ck3', 'Cnumber': 3, 'abc_quality': 1.0391198239885415, 'absD': 757051842880264964991840000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 203360, 'ainvs': [1, 0, 0, -2178935510140, 1237982811464867600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 3321888768, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.3743425335345865269406351819', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1144081181272479239133643526834383042983361, 757051842880264964991840000], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2178935510140, 1237982811464867600], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '124.24.0.?', '160.192.1.?', '248.96.0.?', '496.192.1.?', '1312.192.2.?', '3280.192.2.?', '4960.384.5.?', '6560.384.5.?', '40672.384.5.?', '101680.384.5.?', '203360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.256657955703678617848108104', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 31], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '5.3743425335345865269406351819', 'prec': 100}, 'szpiro_ratio': 7.7507609681964835, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 1690917
    {'Ciso': '266910ck', 'Clabel': '266910ck6', 'Cnumber': 6, 'abc_quality': 1.0345492599190902, 'absD': 2595031464462830007240075021449312400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 101680, 'ainvs': [1, 0, 0, -599206392140, -160829690671372800], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 6643777536, 'elladic_images': ['8.96.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.7209161238145591816492512426', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [23793209304025894275206985511597632711361, 2595031464462830007240075021449312400], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -599206392140, -160829690671372800], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.l.1.1', '20.48.0-20.c.1.2', '40.192.1-40.cd.1.1', '496.192.1.?', '656.192.2.?', '2480.384.5.?', '3280.384.5.?', '20336.384.5.?', '101680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.513315911407357235696216209', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '5.7209161238145591816492512426', 'prec': 100}, 'szpiro_ratio': 7.44079216495661, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1690915
    {'Ciso': '266910ck', 'Clabel': '266910ck4', 'Cnumber': 4, 'abc_quality': 1.0595897743467746, 'absD': 44626411898210828624928814208160000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 101680, 'ainvs': [1, 0, 0, -141433110140, 17771562402147600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 3321888768, 'elladic_images': ['8.96.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.3743425335345865269406351819', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [312879412318855009716463045818793383361, 44626411898210828624928814208160000], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -141433110140, 17771562402147600], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '8.96.0-8.c.1.1', '40.192.1-40.x.2.5', '248.192.1.?', '656.192.2.?', '1240.384.5.?', '3280.384.5.?', '20336.384.5.?', '101680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.256657955703678617848108104', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '5.3743425335345865269406351819', 'prec': 100}, 'szpiro_ratio': 7.0941372511356215, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 1690913
    {'Ciso': '266910ck', 'Clabel': '266910ck2', 'Cnumber': 2, 'abc_quality': 1.0261933759868158, 'absD': 7185070196198556975129600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 101680, 'ainvs': [1, 0, 0, -136184310140, 19343222133507600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 1660944384, 'elladic_images': ['8.96.0.40'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0277689432546138722320191212', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [279321867933339260687315798724918183361, 7185070196198556975129600000000], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -136184310140, 19343222133507600], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.l.2.2', '80.192.1.?', '124.48.0.?', '248.192.1.?', '656.192.2.?', '2480.384.5.?', '3280.384.5.?', '20336.384.5.?', '101680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 22, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6283289778518393089240540522', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '5.0277689432546138722320191212', 'prec': 100}, 'szpiro_ratio': 7.085057130107852, 'torsion': 16, 'torsion_primes': [2], 'torsion_structure': [2, 8]}
  • id: 1690912
    {'Ciso': '266910ck', 'Clabel': '266910ck1', 'Cnumber': 1, 'abc_quality': 1.0124704038664045, 'absD': 10979320318525440000000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 203360, 'ainvs': [1, 0, 0, -8184310140, 326543733507600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 830472192, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6811953529746412175234030605', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-60627540058019895893705412918183361, 10979320318525440000000000000000], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8184310140, 326543733507600], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '62.6.0.b.1', '124.24.0.?', '160.192.1.?', '248.96.0.?', '496.192.1.?', '656.192.2.?', '4960.384.5.?', '6560.384.5.?', '20336.384.5.?', '203360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8141644889259196544620270261', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 31], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.6811953529746412175234030605', 'prec': 100}, 'szpiro_ratio': 6.431729712614538, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 1690916
    {'Ciso': '266910ck', 'Clabel': '266910ck5', 'Cnumber': 5, 'abc_quality': 1.0397003995119671, 'absD': 4766529283100579070606788945040992400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 203360, 'ainvs': [1, 0, 0, 232359371860, 95786613663828000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 6643777536, 'elladic_images': ['16.96.0.25'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.7209161238145591816492512426', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1387408316478144028202421750997946744639, 4766529283100579070606788945040992400], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 232359371860, 95786613663828000], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.48.0-8.q.1.2', '16.96.0-16.j.1.2', '40.96.0-40.bf.2.5', '80.192.1.?', '248.96.0.?', '496.192.1.?', '1240.192.1.?', '1312.192.2.?', '2480.384.5.?', '6560.384.5.?', '40672.384.5.?', '203360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.513315911407357235696216209', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '5.7209161238145591816492512426', 'prec': 100}, 'szpiro_ratio': 7.341127639781171, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 1690918
    {'Ciso': '266910ck', 'Clabel': '266910ck7', 'Cnumber': 7, 'abc_quality': 1.0471295547733948, 'absD': 308620147391001134944081878878405640180, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 203360, 'ainvs': [1, 0, 0, 797988528760, -799448088117993420], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 266910, 'degree': 13287555072, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '6.0674897140945318363578673034', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56197067952339694092756408383570499642239, 308620147391001134944081878878405640180], 'lmfdb_iso': '266910.ck', 'lmfdb_label': '266910.ck8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 797988528760, -799448088117993420], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '16.96.0-16.v.2.5', '20.24.0-20.h.1.1', '40.96.0-40.bn.1.2', '80.192.1.?', '992.192.1.?', '1312.192.2.?', '4960.384.5.?', '6560.384.5.?', '20336.192.2.?', '40672.384.5.?', '101680.384.5.?', '203360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '45.026631822814714471392432418', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 5], [3, 4, 88970], [5, 6, 53382], [7, 8, 38130], [31, 32, 8610], [41, 42, 6510]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '6.0674897140945318363578673034', 'prec': 100}, 'szpiro_ratio': 7.680760376788044, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}