Elliptic curve isogeny class data - 16830.x

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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, 0, 1, 1, 0, -4, -1, 0, -1, 1, 0, 2, 4, 0, 1, 1, 0, 2, 1], 'aplist': [-1, 0, 1, -4, 1, 2, 1, 2, -6, 6, -4, -10, 0, -4, 12, 0, 0, -10, 14, 12, 2, 2, 0, -6, -16], 'class_deg': 6, 'class_size': 4, 'conductor': 16830, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '16830.x', 'trace_hash': 1133713606893467555}
• ec_padic •

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

  
  
  • id: 765931
    {'lmfdb_iso': '16830.x', 'p': 7, 'prec': 20, 'unit': 9286153156128960, 'val': 1}
  • id: 765935
    {'lmfdb_iso': '16830.x', 'p': 13, 'prec': 20, 'unit': 29117984682703561015, 'val': 2}
  • id: 765937
    {'lmfdb_iso': '16830.x', 'p': 19, 'prec': 20, 'unit': 1404788627203523338198362, 'val': 1}
  • id: 765938
    {'lmfdb_iso': '16830.x', 'p': 23, 'prec': 20, 'unit': 22678566757933465267773278, 'val': 1}
  • id: 765934
    {'lmfdb_iso': '16830.x', 'p': 29, 'prec': 20, 'unit': 1991948437291084763706645986, 'val': 1}
  • id: 765943
    {'lmfdb_iso': '16830.x', 'p': 31, 'prec': 20, 'unit': 8382695884449804291064943466, 'val': 1}
  • id: 765930
    {'lmfdb_iso': '16830.x', 'p': 37, 'prec': 20, 'unit': 238537756563372705510694446258, 'val': 1}
  • id: 765933
    {'lmfdb_iso': '16830.x', 'p': 43, 'prec': 20, 'unit': 1992896382723952983600269649630, 'val': 1}
  • id: 765936
    {'lmfdb_iso': '16830.x', 'p': 47, 'prec': 20, 'unit': 11501034346360730299013080421257, 'val': 1}
  • id: 765942
    {'lmfdb_iso': '16830.x', 'p': 61, 'prec': 20, 'unit': 1531670517753167536092943320301632, 'val': 1}
  • id: 765929
    {'lmfdb_iso': '16830.x', 'p': 67, 'prec': 20, 'unit': 16138512316366143659760524896126982, 'val': 1}
  • id: 765940
    {'lmfdb_iso': '16830.x', 'p': 71, 'prec': 20, 'unit': 47726438471570163451227904989975707, 'val': 1}
  • id: 765932
    {'lmfdb_iso': '16830.x', 'p': 73, 'prec': 20, 'unit': 178939141161424595031053801866525368, 'val': 1}
  • id: 765941
    {'lmfdb_iso': '16830.x', 'p': 79, 'prec': 20, 'unit': 137129787071706504017625767805311948, 'val': 1}
  • id: 765939
    {'lmfdb_iso': '16830.x', 'p': 89, 'prec': 20, 'unit': 5125614461722592836880072133661576466, 'val': 1}
  • id: 765928
    {'lmfdb_iso': '16830.x', 'p': 97, 'prec': 20, 'unit': 39450195708591510999840289976290784987, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 110991
    {'Ciso': '16830bh', 'Clabel': '16830bh4', 'Cnumber': 4, 'abc_quality': 0.9894230796229683, 'absD': 64242944083432125000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 22440, 'ainvs': [1, -1, 0, -1605834, 682139340], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16830, 'degree': 663552, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5269583356786961060790253726', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [628200507126935410849, 88124751829125000], 'lmfdb_iso': '16830.x', 'lmfdb_label': '16830.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -178426, -25264420], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '136.6.0.?', '220.6.0.?', '408.48.0.?', '660.48.0.?', '7480.12.0.?', '22440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5005194718644725811257523167', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9776521913446412603814027541', 'prec': 100}, 'szpiro_ratio': 5.5987588419095555, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 110989
    {'Ciso': '16830bh', 'Clabel': '16830bh2', 'Cnumber': 2, 'abc_quality': 0.9704864951132534, 'absD': 10200626507174400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 22440, 'ainvs': [1, -1, 0, -410274, -100929132], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16830, 'degree': 221184, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9776521913446412603814027541', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [10476561483361670689, 13992628953600], 'lmfdb_iso': '16830.x', 'lmfdb_label': '16830.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -45586, 3738116], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '136.6.0.?', '220.6.0.?', '408.48.0.?', '660.48.0.?', '7480.12.0.?', '22440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5015584155934177433772569501', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4283460470105864146837801356', 'prec': 100}, 'szpiro_ratio': 5.178066903981912, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 110988
    {'Ciso': '16830bh', 'Clabel': '16830bh1', 'Cnumber': 1, 'abc_quality': 0.9490279432038693, 'absD': 2214397134766080, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 22440, 'ainvs': [1, -1, 0, -18594, -2460780], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16830, 'degree': 110592, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6310786010646686056727866934', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-975276594443809, 3037581803520], 'lmfdb_iso': '16830.x', 'lmfdb_label': '16830.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2066, 91140], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '110.6.0.?', '136.6.0.?', '330.48.0.?', '408.48.0.?', '7480.12.0.?', '22440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0031168311868354867545139002', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0817724567306137599751640749', 'prec': 100}, 'szpiro_ratio': 4.414680779673124, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 110990
    {'Ciso': '16830bh', 'Clabel': '16830bh3', 'Cnumber': 3, 'abc_quality': 1.092250349206382, 'absD': 1686287452545432000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 22440, 'ainvs': [1, -1, 0, 162846, 57087828], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16830, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1803847453987234513704093118', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [655127711084516831, 2313151512408000], 'lmfdb_iso': '16830.x', 'lmfdb_label': '16830.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 18094, -2114364], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '110.6.0.?', '136.6.0.?', '330.48.0.?', '408.48.0.?', '7480.12.0.?', '22440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0010389437289451622515046334', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6310786010646686056727866933', 'prec': 100}, 'szpiro_ratio': 5.060650271116836, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}