Elliptic curve isogeny class data - 94809.r

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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, -2, 1, 0, -3, 1, -2, -1, -1, 0, 0, -2, -1, 1, 1, -8, 2], 'aplist': [1, 1, -2, 0, -1, 0, 1, -8, -8, 6, -8, -6, -2, 8, 4, 6, 8, 10, -4, 0, 10, 0, -12, 14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 94809, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '94809.r', 'trace_hash': 490980073702248035}
• ec_padic •

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

  
  
  • id: 4927581
    {'lmfdb_iso': '94809.r', 'p': 5, 'prec': 20, 'unit': 11499075387316, 'val': 1}
  • id: 4927565
    {'lmfdb_iso': '94809.r', 'p': 19, 'prec': 20, 'unit': 110786395389535378611191, 'val': 1}
  • id: 4927577
    {'lmfdb_iso': '94809.r', 'p': 23, 'prec': 20, 'unit': 31553906189051965920594676, 'val': 1}
  • id: 4927572
    {'lmfdb_iso': '94809.r', 'p': 29, 'prec': 20, 'unit': 2401882792082341072107354015, 'val': 1}
  • id: 4927569
    {'lmfdb_iso': '94809.r', 'p': 31, 'prec': 20, 'unit': 12358376279907975734497228279, 'val': 1}
  • id: 4927568
    {'lmfdb_iso': '94809.r', 'p': 37, 'prec': 20, 'unit': 390411204363543961600197994246, 'val': 1}
  • id: 4927570
    {'lmfdb_iso': '94809.r', 'p': 41, 'prec': 20, 'unit': 263835294108587693352056721489, 'val': 1}
  • id: 4927571
    {'lmfdb_iso': '94809.r', 'p': 43, 'prec': 20, 'unit': 526720475885954633955530226801, 'val': 1}
  • id: 4927573
    {'lmfdb_iso': '94809.r', 'p': 47, 'prec': 20, 'unit': 26179747464098186339184351630867, 'val': 1}
  • id: 4927575
    {'lmfdb_iso': '94809.r', 'p': 53, 'prec': 20, 'unit': 152170287036415537135273098643939, 'val': 1}
  • id: 4927579
    {'lmfdb_iso': '94809.r', 'p': 59, 'prec': 20, 'unit': 3047263646773294415111268629089294, 'val': 1}
  • id: 4927580
    {'lmfdb_iso': '94809.r', 'p': 61, 'prec': 20, 'unit': 1049410738258459994824381834888234, 'val': 1}
  • id: 4927567
    {'lmfdb_iso': '94809.r', 'p': 67, 'prec': 20, 'unit': 38572130120497209174834494769479737, 'val': 1}
  • id: 4927576
    {'lmfdb_iso': '94809.r', 'p': 73, 'prec': 20, 'unit': 60490962206233684115506953594365602, 'val': 1}
  • id: 4927574
    {'lmfdb_iso': '94809.r', 'p': 83, 'prec': 20, 'unit': 1525385290094373930830405177399342067, 'val': 1}
  • id: 4927578
    {'lmfdb_iso': '94809.r', 'p': 89, 'prec': 20, 'unit': 1690403970823580979971714561727500888, 'val': 1}
  • id: 4927566
    {'lmfdb_iso': '94809.r', 'p': 97, 'prec': 20, 'unit': 22847654438937580231226484324839915777, '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: 624324
    {'Ciso': '94809q', 'Clabel': '94809q4', 'Cnumber': 4, 'abc_quality': 0.9807031315333614, 'absD': 13303617178137, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 58344, 'ainvs': [1, 0, 1, -30762, -2071769], 'analytic_rank': 1, 'bad_primes': [3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 94809, 'degree': 294912, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3735310892770387218522427361', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [666940371553, 2756193], 'lmfdb_iso': '94809.r', 'lmfdb_label': '94809.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -182, -957], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '52.12.0-4.c.1.1', '66.6.0.a.1', '132.12.0.?', '136.12.0.?', '1716.24.0.?', '1768.24.0.?', '4488.24.0.?', '58344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4420023329127629609156308776', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5577], [3, 4, 31603], [11, 12, 8619], [13, 86, 561], [17, 18, 5577]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.091056410546270353825499015317', 'prec': 107}, 'szpiro_ratio': 3.718767641260137, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 624322
    {'Ciso': '94809q', 'Clabel': '94809q2', 'Cnumber': 2, 'abc_quality': 1.1639137797910244, 'absD': 1519098155289, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29172, 'ainvs': [1, 0, 1, -2877, 2875], 'analytic_rank': 1, 'bad_primes': [3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 94809, 'degree': 147456, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0269574989970660671436266753', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 314721], 'lmfdb_iso': '94809.r', 'lmfdb_label': '94809.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -17, 0], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '52.12.0-2.a.1.1', '68.12.0.a.1', '132.12.0.?', '884.24.0.?', '1716.24.0.?', '2244.24.0.?', '29172.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2210011664563814804578154388', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 31603], [11, 12, 8619], [13, 86, 561], [17, 18, 5577]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25551717973370230088311704548', 'prec': 107}, 'szpiro_ratio': 3.098411169424841, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 624321
    {'Ciso': '94809q', 'Clabel': '94809q1', 'Cnumber': 1, 'abc_quality': 0.8952393132977357, 'absD': 2707839849, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 58344, 'ainvs': [1, 0, 1, -2032, 34985], 'analytic_rank': 1, 'bad_primes': [3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 94809, 'degree': 73728, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.68038390871709341243501061459', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [192100033, 561], 'lmfdb_iso': '94809.r', 'lmfdb_label': '94809.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12, 15], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '104.12.0.?', '136.12.0.?', '264.12.0.?', '884.12.0.?', '1122.6.0.?', '1716.12.0.?', '1768.24.0.?', '2244.12.0.?', '3432.24.0.?', '4488.24.0.?', '29172.24.0.?', '58344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4420023329127629609156308776', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 31603], [11, 12, 8619], [13, 86, 561], [17, 18, 5577]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60209077001367495559173310619', 'prec': 107}, 'szpiro_ratio': 3.0073618571776755, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 624323
    {'Ciso': '94809q', 'Clabel': '94809q3', 'Cnumber': 3, 'abc_quality': 0.9988178278632754, 'absD': 97311640653513, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 58344, 'ainvs': [1, 0, 1, 11488, 25859], 'analytic_rank': 1, 'bad_primes': [3, 11, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 94809, 'degree': 294912, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3735310892770387218522427361', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [34741712447, 20160657], 'lmfdb_iso': '94809.r', 'lmfdb_label': '94809.r4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 68, 17], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '52.12.0-4.c.1.2', '68.12.0.h.1', '264.12.0.?', '884.24.0.?', '3432.24.0.?', '4488.24.0.?', '58344.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1105005832281907402289077194', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2873], [3, 4, 31603], [11, 12, 8619], [13, 86, 561], [17, 18, 5577]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.091056410546270353825499015317', 'prec': 107}, 'szpiro_ratio': 3.4609266579658433, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}