Elliptic curve isogeny class data - 22050.ba

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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, 0, 0, 0, -1, 0, 0, 0, 0, -4, 0, 0, 1, -6, 0, -2, 0], 'aplist': [-1, 0, 0, 0, 0, -4, -6, -2, 0, 6, 4, -2, 6, -8, 12, 6, -6, -8, 4, 0, 2, 8, 6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 22050, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '22050.ba', 'trace_hash': 12133487360906702}
• ec_padic •

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

  
  
  • id: 1036189
    {'lmfdb_iso': '22050.ba', 'p': 13, 'prec': 20, 'unit': 1458032688627662608993, 'val': 1}
  • id: 1036191
    {'lmfdb_iso': '22050.ba', 'p': 17, 'prec': 20, 'unit': 34850626169209179862958, 'val': 1}
  • id: 1036192
    {'lmfdb_iso': '22050.ba', 'p': 19, 'prec': 20, 'unit': 234792218043298530505937, 'val': 1}
  • id: 1036188
    {'lmfdb_iso': '22050.ba', 'p': 29, 'prec': 20, 'unit': 1715466965255583638090677318, 'val': 1}
  • id: 1036199
    {'lmfdb_iso': '22050.ba', 'p': 31, 'prec': 20, 'unit': 262394846813457420985183130, 'val': 2}
  • id: 1036185
    {'lmfdb_iso': '22050.ba', 'p': 37, 'prec': 20, 'unit': 177962476541244306463468052803, 'val': 1}
  • id: 1036186
    {'lmfdb_iso': '22050.ba', 'p': 41, 'prec': 20, 'unit': 83448987240186806195068300099, 'val': 1}
  • id: 1036187
    {'lmfdb_iso': '22050.ba', 'p': 43, 'prec': 20, 'unit': 3448782198288100485976980285745, 'val': 1}
  • id: 1036197
    {'lmfdb_iso': '22050.ba', 'p': 47, 'prec': 20, 'unit': 20612232955505462023144369588995, 'val': 1}
  • id: 1036193
    {'lmfdb_iso': '22050.ba', 'p': 53, 'prec': 20, 'unit': 51241228375079939751511173798911, 'val': 1}
  • id: 1036194
    {'lmfdb_iso': '22050.ba', 'p': 59, 'prec': 20, 'unit': 3966967371534066689319439583555840, 'val': 1}
  • id: 1036198
    {'lmfdb_iso': '22050.ba', 'p': 61, 'prec': 20, 'unit': 4159569927942364582133459289939348, 'val': 1}
  • id: 1036184
    {'lmfdb_iso': '22050.ba', 'p': 67, 'prec': 20, 'unit': 430733836296595458964730175114890, 'val': 1}
  • id: 1036195
    {'lmfdb_iso': '22050.ba', 'p': 73, 'prec': 20, 'unit': 1841599505968212982853502309043935, 'val': 2}
  • id: 1036190
    {'lmfdb_iso': '22050.ba', 'p': 79, 'prec': 20, 'unit': 123473725829298097820926490562737439, 'val': 1}
  • id: 1036183
    {'lmfdb_iso': '22050.ba', 'p': 83, 'prec': 20, 'unit': 922948241705716710518989331187091408, 'val': 1}
  • id: 1036196
    {'lmfdb_iso': '22050.ba', 'p': 89, 'prec': 20, 'unit': 10258915585136530417867461100482753084, 'val': 1}
  • id: 1036182
    {'lmfdb_iso': '22050.ba', 'p': 97, 'prec': 20, 'unit': 12320698483851935658691639392659911193, '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: 146224
    {'Ciso': '22050bi', 'Clabel': '22050bi6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 33620319432000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [1, -1, 0, -30103992, -63567163584], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 22050, 'degree': 995328, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7400811555018461431314610116', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '22050.ba', 'lmfdb_label': '22050.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '60.24.0-6.a.1.5', '63.36.0.d.1', '72.72.1.?', '84.24.0.?', '105.8.0.?', '120.48.0.?', '126.108.2.?', '168.48.1.?', '180.72.0.?', '210.24.0.?', '252.216.7.?', '315.72.0.?', '360.144.1.?', '420.48.0.?', '504.432.21.?', '630.216.2.?', '840.96.1.?', '1260.432.7.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.062985362530961292008942640', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 6, 1225], [5, 14, 882], [7, 32, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235480', 'prec': 103}, 'szpiro_ratio': 6.326735188842948, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 146223
    {'Ciso': '22050bi', 'Clabel': '22050bi5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 2459086221312000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [1, -1, 0, -1879992, -994555584], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 22050, 'degree': 497664, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3935075652218734884228449509', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '22050.ba', 'lmfdb_label': '22050.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '30.24.0-6.a.1.3', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '72.72.1.?', '90.72.0.?', '105.8.0.?', '120.48.0.?', '126.216.7.?', '168.48.1.?', '210.48.0.?', '315.72.0.?', '360.144.1.?', '504.432.21.?', '630.432.7.?', '840.96.1.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.5314926812654806460044713198', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 6, 1225], [5, 14, 882], [7, 32, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294101', 'prec': 107}, 'szpiro_ratio': 5.495383513340652, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 146222
    {'Ciso': '22050bi', 'Clabel': '22050bi4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 1261287296191125000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [1, -1, 0, -391617, -77220459], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 22050, 'degree': 331776, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1907750111677912974338383932', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '22050.ba', 'lmfdb_label': '22050.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '24.72.1.h.1', '28.6.0.c.1', '56.12.0.k.1', '60.72.0-6.a.1.3', '63.36.0.a.1', '84.72.1.?', '105.24.0.?', '120.144.1.?', '126.108.2.?', '168.144.5.?', '210.72.0.?', '252.216.7.?', '315.72.0.?', '420.144.1.?', '504.432.21.?', '630.216.2.?', '840.288.5.?', '1260.432.7.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3543284541769870973363142132', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 2, 1225], [5, 14, 882], [7, 32, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026360', 'prec': 107}, 'szpiro_ratio': 5.024235798477735, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 146220
    {'Ciso': '22050bi', 'Clabel': '22050bi2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 131329372781250, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [1, -1, 0, -115992, 15224166], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 22050, 'degree': 110592, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6414688668337364517362157747', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '22050.ba', 'lmfdb_label': '22050.ba4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '60.24.0-6.a.1.9', '63.36.0.d.2', '72.72.1.?', '84.24.0.?', '105.8.0.?', '120.48.0.?', '126.108.2.?', '168.48.1.?', '180.72.0.?', '210.24.0.?', '252.216.7.?', '315.72.0.?', '360.144.1.?', '420.48.0.?', '504.432.21.?', '630.216.2.?', '840.96.1.?', '1260.432.7.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4514428180589956991121047377', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 2, 2450], [5, 14, 882], [7, 32, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288210', 'prec': 107}, 'szpiro_ratio': 4.6592461868876365, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 146219
    {'Ciso': '22050bi', 'Clabel': '22050bi1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 37522677937500, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [1, -1, 0, -5742, 340416], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 22050, 'degree': 55296, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2948952765537637970275997140', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '22050.ba', 'lmfdb_label': '22050.ba5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '30.24.0-6.a.1.4', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.2', '72.72.1.?', '90.72.0.?', '105.8.0.?', '120.48.0.?', '126.216.7.?', '168.48.1.?', '210.48.0.?', '315.72.0.?', '360.144.1.?', '504.432.21.?', '630.432.7.?', '840.96.1.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.72572140902949784955605236887', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 2, 2450], [5, 14, 882], [7, 32, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 3.8986377797676646, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 146221
    {'Ciso': '22050bi', 'Clabel': '22050bi3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 29417779503000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [1, -1, 0, 49383, -7101459], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 22050, 'degree': 165888, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8442014208878186427252223324', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '22050.ba', 'lmfdb_label': '22050.ba6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '30.72.0-6.a.1.2', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '105.24.0.?', '120.144.1.?', '126.216.7.?', '168.144.5.?', '210.144.1.?', '315.72.0.?', '504.432.21.?', '630.432.7.?', '840.288.5.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1771642270884935486681571066', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 2, 1225], [5, 14, 882], [7, 32, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632440', 'prec': 107}, 'szpiro_ratio': 4.506647462411796, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}