Elliptic curve isogeny class data - 57200.bf

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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, -1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 0, 0, 1, -1, -2, -4, 8, 10, -8, -6, -2, -12, -4, 6, 4, 10, 4, 0, 14, 8, 12, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 57200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '57200.bf', 'trace_hash': 2259198452415002717}
• ec_padic •

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

  
  
  • id: 2899285
    {'lmfdb_iso': '57200.bf', 'p': 17, 'prec': 20, 'unit': 128693166611914296833140, 'val': 1}
  • id: 2899277
    {'lmfdb_iso': '57200.bf', 'p': 19, 'prec': 20, 'unit': 474419499574486921614026, 'val': 1}
  • id: 2899290
    {'lmfdb_iso': '57200.bf', 'p': 23, 'prec': 20, 'unit': 24587940178921075718655474, 'val': 1}
  • id: 2899283
    {'lmfdb_iso': '57200.bf', 'p': 29, 'prec': 20, 'unit': 5331837755269392489692111319, 'val': 1}
  • id: 2899294
    {'lmfdb_iso': '57200.bf', 'p': 31, 'prec': 20, 'unit': 19351817166216180485273593583, 'val': 1}
  • id: 2899280
    {'lmfdb_iso': '57200.bf', 'p': 37, 'prec': 20, 'unit': 265622463383142587112455815835, 'val': 1}
  • id: 2899281
    {'lmfdb_iso': '57200.bf', 'p': 41, 'prec': 20, 'unit': 1669501326842537102592920195465, 'val': 1}
  • id: 2899282
    {'lmfdb_iso': '57200.bf', 'p': 43, 'prec': 20, 'unit': 3239071611851689758129935247237, 'val': 1}
  • id: 2899292
    {'lmfdb_iso': '57200.bf', 'p': 47, 'prec': 20, 'unit': 25339551413402451143211519670793, 'val': 1}
  • id: 2899287
    {'lmfdb_iso': '57200.bf', 'p': 53, 'prec': 20, 'unit': 372734393811437218364831856561359, 'val': 1}
  • id: 2899288
    {'lmfdb_iso': '57200.bf', 'p': 59, 'prec': 20, 'unit': 1802229749729672614713018231461743, 'val': 1}
  • id: 2899293
    {'lmfdb_iso': '57200.bf', 'p': 61, 'prec': 20, 'unit': 800919986133587232914203882275763, 'val': 1}
  • id: 2899279
    {'lmfdb_iso': '57200.bf', 'p': 67, 'prec': 20, 'unit': 43620005477881710948283042235129947, 'val': 1}
  • id: 2899289
    {'lmfdb_iso': '57200.bf', 'p': 73, 'prec': 20, 'unit': 120436053460294743881995806609886120, 'val': 1}
  • id: 2899284
    {'lmfdb_iso': '57200.bf', 'p': 79, 'prec': 20, 'unit': 258966979301568048725278731702489819, 'val': 1}
  • id: 2899286
    {'lmfdb_iso': '57200.bf', 'p': 83, 'prec': 20, 'unit': 1187745648063410970748329803182004570, 'val': 1}
  • id: 2899291
    {'lmfdb_iso': '57200.bf', 'p': 89, 'prec': 20, 'unit': 7145702680803644394974806453730858922, 'val': 1}
  • id: 2899278
    {'lmfdb_iso': '57200.bf', 'p': 97, 'prec': 20, 'unit': 35545263619337148299543887583829633828, '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: 379364
    {'Ciso': '57200bj', 'Clabel': '57200bj4', 'Cnumber': 4, 'abc_quality': 1.139189521584851, 'absD': 177182720000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 0, 0, -5906090675, -174702161796750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 57200, 'degree': 15482880, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7560692126960899713153776465', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4], 'jinv': [355995140004443961140387841, 2768480], 'lmfdb_iso': '57200.bf', 'lmfdb_label': '57200.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -14765227, 21841461531], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '44.12.0-4.c.1.2', '104.12.0.?', '440.24.0.?', '520.24.0.?', '1144.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '25.919105778478468983433906629', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3575], [3, 2, 5200], [5, 18, 2288], [11, 12, 5200], [13, 14, 4400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2582030759190944745977658584', 'prec': 100}, 'szpiro_ratio': 7.221939026124504, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 379363
    {'Ciso': '57200bj', 'Clabel': '57200bj3', 'Cnumber': 3, 'abc_quality': 1.0322408901773137, 'absD': 52223448188637440000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 0, 0, -369962675, -2716797700750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 57200, 'degree': 15482880, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7560692126960899713153776465', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4], 'jinv': [87501897507774086005761, 815991377947460000], 'lmfdb_iso': '57200.bf', 'lmfdb_label': '57200.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -924907, 339830939], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '88.12.0.?', '104.12.0.?', '440.24.0.?', '520.24.0.?', '1144.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4797764446196172458584766574', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 325], [3, 2, 5200], [5, 18, 2288], [11, 12, 5200], [13, 14, 4400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2582030759190944745977658584', 'prec': 100}, 'szpiro_ratio': 6.463241079538568, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 379362
    {'Ciso': '57200bj', 'Clabel': '57200bj2', 'Cnumber': 2, 'abc_quality': 1.0815708094972947, 'absD': 490526816665600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 0, 0, -369130675, -2729721156750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 57200, 'degree': 7741440, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4094956224161173166067615858', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [86912881496074271306241, 7664481510400], 'lmfdb_iso': '57200.bf', 'lmfdb_label': '57200.bf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -922827, 341445851], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '44.12.0-2.a.1.1', '104.12.0.?', '220.24.0.?', '520.24.0.?', '1144.24.0.?', '5720.48.0.?'], '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': '12.959552889239234491716953315', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 2, 5200], [5, 18, 2288], [11, 12, 5200], [13, 14, 4400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9116294856391218198891497977', 'prec': 100}, 'szpiro_ratio': 6.462624498065495, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 379361
    {'Ciso': '57200bj', 'Clabel': '57200bj1', 'Cnumber': 1, 'abc_quality': 1.0038593376627314, 'absD': 12755613641605120000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 0, 0, -23018675, -42853700750], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 57200, 'degree': 3870720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0629220321361446618981455250', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4], 'jinv': [-21075830718885163521, 199306463150080], 'lmfdb_iso': '57200.bf', 'lmfdb_label': '57200.bf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -57547, 5371099], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '44.12.0-4.c.1.1', '104.12.0.?', '110.6.0.?', '220.24.0.?', '520.24.0.?', '1144.24.0.?', '5720.48.0.?'], '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': '6.4797764446196172458584766574', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 2, 5200], [5, 18, 2288], [11, 12, 5200], [13, 14, 4400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5650558953591491651805337369', 'prec': 100}, 'szpiro_ratio': 5.704171775038312, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}