Elliptic curve isogeny class data - 3630.f

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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, 1, 1, 0, -1, 1, -1, 0, -1, -6, 0, -1, 1, -2, -1, 4, 1], 'aplist': [-1, -1, 1, 0, 0, -6, -2, 4, 0, 10, 0, 6, -2, -4, -8, -10, -4, 2, -4, -8, -2, 8, 12, -6, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 3630, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '3630.f', 'trace_hash': 974302757741969446}
• ec_padic •

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

  
  
  • id: 122973
    {'lmfdb_iso': '3630.f', 'p': 13, 'prec': 20, 'unit': 500562067625309814187, 'val': 1}
  • id: 122975
    {'lmfdb_iso': '3630.f', 'p': 17, 'prec': 20, 'unit': 187763714083021910159149, 'val': 1}
  • id: 122976
    {'lmfdb_iso': '3630.f', 'p': 19, 'prec': 20, 'unit': 3094732680362694490931, 'val': 2}
  • id: 122972
    {'lmfdb_iso': '3630.f', 'p': 29, 'prec': 20, 'unit': 3117604242756799457346959971, 'val': 1}
  • id: 122968
    {'lmfdb_iso': '3630.f', 'p': 37, 'prec': 20, 'unit': 403274203425879793635080484481, 'val': 1}
  • id: 122970
    {'lmfdb_iso': '3630.f', 'p': 41, 'prec': 20, 'unit': 888669647350802248686464786485, 'val': 1}
  • id: 122971
    {'lmfdb_iso': '3630.f', 'p': 43, 'prec': 20, 'unit': 9112624471535544133790947625760, 'val': 1}
  • id: 122981
    {'lmfdb_iso': '3630.f', 'p': 47, 'prec': 20, 'unit': 41439247114702615289783687222063, 'val': 1}
  • id: 122977
    {'lmfdb_iso': '3630.f', 'p': 53, 'prec': 20, 'unit': 562284753715129026062863870459691, 'val': 1}
  • id: 122978
    {'lmfdb_iso': '3630.f', 'p': 59, 'prec': 20, 'unit': 1711784346302545341496972716281522, 'val': 1}
  • id: 122982
    {'lmfdb_iso': '3630.f', 'p': 61, 'prec': 20, 'unit': 983869466910746133708859884334713, 'val': 1}
  • id: 122967
    {'lmfdb_iso': '3630.f', 'p': 67, 'prec': 20, 'unit': 46282587821251578965410792213995581, 'val': 1}
  • id: 122969
    {'lmfdb_iso': '3630.f', 'p': 71, 'prec': 20, 'unit': 52333558911458397754321541759685166, 'val': 1}
  • id: 122979
    {'lmfdb_iso': '3630.f', 'p': 73, 'prec': 20, 'unit': 184098000415198073292342513878860904, 'val': 1}
  • id: 122974
    {'lmfdb_iso': '3630.f', 'p': 79, 'prec': 20, 'unit': 312073424613557883846807605249710374, 'val': 1}
  • id: 122966
    {'lmfdb_iso': '3630.f', 'p': 83, 'prec': 20, 'unit': 1778129030722883974383105688756291798, 'val': 1}
  • id: 122980
    {'lmfdb_iso': '3630.f', 'p': 89, 'prec': 20, 'unit': 10324533593346446264661217703819984063, 'val': 1}
  • id: 122965
    {'lmfdb_iso': '3630.f', 'p': 97, 'prec': 20, 'unit': 52576945188930011522558776654953282631, '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: 21914
    {'Ciso': '3630d', 'Clabel': '3630d5', 'Cnumber': 5, 'abc_quality': 1.047398607062714, 'absD': 22197105717187500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [1, 1, 0, -20701287, 36244390329], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3630, 'degree': 184320, 'elladic_images': ['8.24.0.46'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6607072599721155228295282618', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [553808571467029327441, 12529687500], 'lmfdb_iso': '3630.f', 'lmfdb_label': '3630.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -171085, -27308713], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.12', '24.48.0-24.by.1.14', '44.24.0-44.h.1.2', '80.48.0.?', '88.48.0.?', '240.96.0.?', '264.96.0.?', '880.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0485487574487070890542539275', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 1210], [5, 6, 726], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4617596235729302507985564728', 'prec': 100}, 'szpiro_ratio': 7.582141507390664, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 21912
    {'Ciso': '3630d', 'Clabel': '3630d3', 'Cnumber': 3, 'abc_quality': 1.0750149448569075, 'absD': 820259640539800560, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [1, 1, 0, -1430827, -657916211], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3630, 'degree': 92160, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3141336696921428681209122011', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [182864522286982801, 463015182960], 'lmfdb_iso': '3630.f', 'lmfdb_label': '3630.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -11825, 488927], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '24.24.0.by.2', '40.24.0.cb.2', '44.12.0-4.c.1.2', '48.48.0-24.by.2.15', '60.12.0.h.1', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.24.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], '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': '8.3883900595896567124340314199', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1815], [3, 4, 1210], [5, 6, 726], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1151860332929575960899404121', 'prec': 100}, 'szpiro_ratio': 6.6042422015747455, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 21913
    {'Ciso': '3630d', 'Clabel': '3630d4', 'Cnumber': 4, 'abc_quality': 1.0201673387474062, 'absD': 1139190980775210000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [1, 1, 0, -1295307, 564555501], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3630, 'degree': 92160, 'elladic_images': ['4.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3141336696921428681209122011', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [135670761487282321, 643043610000], 'lmfdb_iso': '3630.f', 'lmfdb_label': '3630.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10705, -429025], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '24.48.0-24.h.1.32', '40.48.0-40.i.2.30', '44.48.0-44.c.1.2', '120.96.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0970975148974141781085078550', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 1210], [5, 6, 726], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1151860332929575960899404121', 'prec': 100}, 'szpiro_ratio': 6.5678246190824785, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 21915
    {'Ciso': '3630d', 'Clabel': '3630d6', 'Cnumber': 6, 'abc_quality': 1.0568860237866882, 'absD': 550375267285598525100, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [1, 1, 0, -629807, 1144738401], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3630, 'degree': 184320, 'elladic_images': ['8.24.0.56'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6607072599721155228295282618', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-15595206456730321, 310672490129100], 'lmfdb_iso': '3630.f', 'lmfdb_label': '3630.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5205, -862425], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.10', '22.6.0.a.1', '40.48.0-40.cb.1.6', '44.24.0-44.g.1.1', '48.48.0-48.f.1.10', '88.48.0.?', '240.96.0.?', '440.96.0.?', '528.96.0.?', '2640.192.1.?'], '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': '4.1941950297948283562170157100', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 1210], [5, 6, 726], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4617596235729302507985564728', 'prec': 100}, 'szpiro_ratio': 6.739120321917016, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 21911
    {'Ciso': '3630d', 'Clabel': '3630d2', 'Cnumber': 2, 'abc_quality': 1.0644140254035126, 'absD': 121013648218425600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [1, 1, 0, -124027, -1641251], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3630, 'degree': 46080, 'elladic_images': ['8.24.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9675600794121702134122961404', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [119102750067601, 68309049600], 'lmfdb_iso': '3630.f', 'lmfdb_label': '3630.f5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1025, 767], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.5', '24.48.0-24.h.2.9', '40.48.0-40.i.1.7', '44.24.0-4.b.1.3', '60.24.0.c.1', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.0.?', '660.48.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1941950297948283562170157100', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 1210], [5, 6, 726], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76861244301298494138132435142', 'prec': 103}, 'szpiro_ratio': 5.7092165725405755, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 21910
    {'Ciso': '3630d', 'Clabel': '3630d1', 'Cnumber': 1, 'abc_quality': 1.0470620627792697, 'absD': 1896510189404160, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [1, 1, 0, 30853, -185379], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3630, 'degree': 23040, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6209864891321975587036800796', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1833318007919, 1070530560], 'lmfdb_iso': '3630.f', 'lmfdb_label': '3630.f6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 255, 255], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '24.24.0-8.n.1.8', '30.6.0.a.1', '40.24.0-8.n.1.8', '44.12.0-4.c.1.2', '48.48.0-48.f.2.9', '60.12.0.g.1', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.24.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], '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': '8.3883900595896567124340314199', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1815], [3, 4, 1210], [5, 6, 726], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42203885273301228667270829062', 'prec': 103}, 'szpiro_ratio': 5.200022322247221, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}