Elliptic curve isogeny class data - 9702.m

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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, 1, 0, -2, 0, 0, 1, -6, 0, -2, 0], 'aplist': [-1, 0, 0, 0, 1, -2, -6, -2, 0, 6, 4, 2, 6, -10, 12, 12, 12, 10, 8, -12, -14, 2, -12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 9702, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '9702.m', 'trace_hash': 1368684685946915607}
• ec_padic •

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

  
  
  • id: 407198
    {'lmfdb_iso': '9702.m', 'p': 13, 'prec': 20, 'unit': 1295690012706318573723, 'val': 1}
  • id: 407200
    {'lmfdb_iso': '9702.m', 'p': 17, 'prec': 20, 'unit': 74028025510967239921214, 'val': 1}
  • id: 407201
    {'lmfdb_iso': '9702.m', 'p': 19, 'prec': 20, 'unit': 33476553224338068687659, 'val': 1}
  • id: 407197
    {'lmfdb_iso': '9702.m', 'p': 29, 'prec': 20, 'unit': 3605028919362368558329213516, 'val': 1}
  • id: 407207
    {'lmfdb_iso': '9702.m', 'p': 31, 'prec': 20, 'unit': 15844991572499377424725605391, 'val': 1}
  • id: 407193
    {'lmfdb_iso': '9702.m', 'p': 37, 'prec': 20, 'unit': 374061068554149375414262750543, 'val': 1}
  • id: 407195
    {'lmfdb_iso': '9702.m', 'p': 41, 'prec': 20, 'unit': 67772489703543022845635012828, 'val': 2}
  • id: 407196
    {'lmfdb_iso': '9702.m', 'p': 43, 'prec': 20, 'unit': 625156706189856755073987948923, 'val': 1}
  • id: 407205
    {'lmfdb_iso': '9702.m', 'p': 47, 'prec': 20, 'unit': 57269492909635347040587658733142, 'val': 1}
  • id: 407202
    {'lmfdb_iso': '9702.m', 'p': 53, 'prec': 20, 'unit': 332532666678932091789087138383443, 'val': 1}
  • id: 407203
    {'lmfdb_iso': '9702.m', 'p': 59, 'prec': 20, 'unit': 1958704359769204056278063381370487, 'val': 1}
  • id: 407206
    {'lmfdb_iso': '9702.m', 'p': 61, 'prec': 20, 'unit': 3986967226169806306143050997178494, 'val': 1}
  • id: 407192
    {'lmfdb_iso': '9702.m', 'p': 67, 'prec': 20, 'unit': 33501393901788737049811687537271754, 'val': 1}
  • id: 407194
    {'lmfdb_iso': '9702.m', 'p': 71, 'prec': 20, 'unit': 52119056769790797229533411497373543, 'val': 1}
  • id: 407204
    {'lmfdb_iso': '9702.m', 'p': 73, 'prec': 20, 'unit': 18286262438832883346736312034192900, 'val': 1}
  • id: 407199
    {'lmfdb_iso': '9702.m', 'p': 79, 'prec': 20, 'unit': 105950701410266940048681847441650566, 'val': 1}
  • id: 407191
    {'lmfdb_iso': '9702.m', 'p': 83, 'prec': 20, 'unit': 376446265338430412586506327848816234, 'val': 1}
  • id: 407190
    {'lmfdb_iso': '9702.m', 'p': 97, 'prec': 20, 'unit': 902022231346493908467078528868965861, '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: 62651
    {'Ciso': '9702i', 'Clabel': '9702i4', 'Cnumber': 4, 'abc_quality': 1.0492563620983195, 'absD': 17932666707648, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -451887, 117033965], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9702, 'degree': 69120, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8023202547499991134868320369', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4406910829875, 7744], 'lmfdb_iso': '9702.m', 'lmfdb_label': '9702.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9222, -338572], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '44.6.0.e.1', '84.48.0.?', '132.48.1.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3185012499660088138098102985', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374864', 'prec': 110}, 'szpiro_ratio': 5.520335999546207, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 62650
    {'Ciso': '9702i', 'Clabel': '9702i3', 'Cnumber': 3, 'abc_quality': 0.9924779712445644, 'absD': 104335515389952, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -28527, 1795373], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9702, 'degree': 34560, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4557466644700264587782159761', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1108717875, 45056], 'lmfdb_iso': '9702.m', 'lmfdb_label': '9702.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -582, -5068], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '44.6.0.e.1', '66.24.0.b.1', '84.48.0.?', '132.48.1.?', '462.48.0.?', '924.96.1.?'], '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': '2.6370024999320176276196205970', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34116762655871246232089432331', 'prec': 107}, 'szpiro_ratio': 4.6175423055545695, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 62649
    {'Ciso': '9702i', 'Clabel': '9702i2', 'Cnumber': 2, 'abc_quality': 1.0886490953708667, 'absD': 22509617049612, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -7212, 60724], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9702, 'degree': 23040, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2530141104159442677892094184', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [13060888875, 7086244], 'lmfdb_iso': '9702.m', 'lmfdb_label': '9702.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -147, -135], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '44.6.0.e.1', '84.48.0.?', '132.48.1.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.43950041665533627126993676617', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374470', 'prec': 110}, 'szpiro_ratio': 4.168172306991338, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 62648
    {'Ciso': '9702i', 'Clabel': '9702i1', 'Cnumber': 1, 'abc_quality': 0.9992841605881851, 'absD': 67647233808, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -4272, -105680], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9702, 'degree': 11520, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90644052013597161308059335768', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2714704875, 21296], 'lmfdb_iso': '9702.m', 'lmfdb_label': '9702.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -87, 333], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '44.6.0.e.1', '66.24.0.b.1', '84.48.0.?', '132.48.1.?', '462.48.0.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.87900083331067254253987353234', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34116762655871246232089432327', 'prec': 107}, 'szpiro_ratio': 3.997047689074482, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}