Elliptic curve isogeny class data - 13872.bm

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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, 1, 0, 2, 0, 0, 0, 1, 0, -4, 0, -2, 0, 2, 0, 0, 0, -4, 0], 'aplist': [0, 1, 2, 0, -4, -2, 0, -4, 0, 10, 8, 2, -10, -12, 0, 6, -12, 10, 12, 0, -10, -8, -4, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 13872, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '13872.bm', 'trace_hash': 1612944130425467075}
• ec_padic •

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

  
  
  • id: 615506
    {'lmfdb_iso': '13872.bm', 'p': 5, 'prec': 20, 'unit': 9835732037324, 'val': 1}
  • id: 615513
    {'lmfdb_iso': '13872.bm', 'p': 11, 'prec': 20, 'unit': 47642620533899894753, 'val': 1}
  • id: 615511
    {'lmfdb_iso': '13872.bm', 'p': 13, 'prec': 20, 'unit': 214347788077906647510, 'val': 1}
  • id: 615514
    {'lmfdb_iso': '13872.bm', 'p': 19, 'prec': 20, 'unit': 82297460914175304242717, 'val': 2}
  • id: 615510
    {'lmfdb_iso': '13872.bm', 'p': 29, 'prec': 20, 'unit': 1172310076473416749583509719, 'val': 1}
  • id: 615507
    {'lmfdb_iso': '13872.bm', 'p': 31, 'prec': 20, 'unit': 7371611020961556490024789843, 'val': 1}
  • id: 615520
    {'lmfdb_iso': '13872.bm', 'p': 37, 'prec': 20, 'unit': 450963638202489175600989477607, 'val': 1}
  • id: 615508
    {'lmfdb_iso': '13872.bm', 'p': 41, 'prec': 20, 'unit': 1656732753163376995807559655321, 'val': 1}
  • id: 615509
    {'lmfdb_iso': '13872.bm', 'p': 43, 'prec': 20, 'unit': 2817185835242423358744094721851, 'val': 1}
  • id: 615515
    {'lmfdb_iso': '13872.bm', 'p': 53, 'prec': 20, 'unit': 510631076951965568822894379971215, 'val': 1}
  • id: 615518
    {'lmfdb_iso': '13872.bm', 'p': 59, 'prec': 20, 'unit': 2344179789975050935497013852924497, 'val': 1}
  • id: 615519
    {'lmfdb_iso': '13872.bm', 'p': 61, 'prec': 20, 'unit': 35320885386162336440993972728527, 'val': 1}
  • id: 615505
    {'lmfdb_iso': '13872.bm', 'p': 67, 'prec': 20, 'unit': 6136483797054702574886830901398790, 'val': 1}
  • id: 615516
    {'lmfdb_iso': '13872.bm', 'p': 73, 'prec': 20, 'unit': 156323222675707599204571311108907754, 'val': 1}
  • id: 615512
    {'lmfdb_iso': '13872.bm', 'p': 79, 'prec': 20, 'unit': 1126696444905946946279242434488771001, 'val': 1}
  • id: 615504
    {'lmfdb_iso': '13872.bm', 'p': 83, 'prec': 20, 'unit': 557212504294723807613200570428072790, 'val': 1}
  • id: 615517
    {'lmfdb_iso': '13872.bm', 'p': 89, 'prec': 20, 'unit': 9500543667258640321780108674069901434, 'val': 1}
  • id: 615503
    {'lmfdb_iso': '13872.bm', 'p': 97, 'prec': 20, 'unit': 33096086519032558418177588240041100707, '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: 90921
    {'Ciso': '13872bi', 'Clabel': '13872bi5', 'Cnumber': 5, 'abc_quality': 1.0608330168932623, 'absD': 514308644610048, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, 1, 0, -128288352, 559236806388], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 884736, 'elladic_images': ['16.96.0.235'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9568321382295256037798264871', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2361739090258884097, 5202], 'lmfdb_iso': '13872.bm', 'lmfdb_label': '13872.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -27744, -1781010], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.r.1.4', '16.96.0-16.l.2.6', '68.12.0-4.c.1.2', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2462708010362502453733309696', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705671', 'prec': 103}, 'szpiro_ratio': 7.090125373860592, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 90919
    {'Ciso': '13872bi', 'Clabel': '13872bi3', 'Cnumber': 3, 'abc_quality': 1.0315574162602832, 'absD': 2675433569261469696, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [0, 1, 0, -8018112, 8735863860], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 442368, 'elladic_images': ['8.96.0.112'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6102585479495529490712104263', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [576615941610337, 27060804], 'lmfdb_iso': '13872.bm', 'lmfdb_label': '13872.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1734, -27936], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.e.1.6', '68.24.0-4.b.1.3', '136.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4925416020725004907466619393', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099591', 'prec': 103}, 'szpiro_ratio': 6.218028806629368, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 90922
    {'Ciso': '13872bi', 'Clabel': '13872bi6', 'Cnumber': 6, 'abc_quality': 1.036242441540377, 'absD': 12414160396571511693312, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, 1, 0, -7601952, 9683543412], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 884736, 'elladic_images': ['16.96.0.274'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9568321382295256037798264871', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-491411892194497, 125563633938], 'lmfdb_iso': '13872.bm', 'lmfdb_label': '13872.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1644, -30942], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.2', '16.96.0-8.m.2.4', '68.12.0-4.c.1.2', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.985083204145000981493323879', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705671', 'prec': 103}, 'szpiro_ratio': 6.239607810077422, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 90918
    {'Ciso': '13872bi', 'Clabel': '13872bi2', 'Cnumber': 2, 'abc_quality': 1.07570813760169, 'absD': 2999448015365799936, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [0, 1, 0, -527232, 121351860], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 221184, 'elladic_images': ['8.96.0.26'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2636849576695802943625943656', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [163936758817, 30338064], 'lmfdb_iso': '13872.bm', 'lmfdb_label': '13872.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -114, -396], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.96.0-8.h.2.7', '68.48.0-68.c.1.3', '136.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2462708010362502453733309696', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15393110508152694482059493520', 'prec': 103}, 'szpiro_ratio': 5.361898620737872, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 90917
    {'Ciso': '13872bi', 'Clabel': '13872bi1', 'Cnumber': 1, 'abc_quality': 1.051915192059638, 'absD': 34851974034751488, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, 1, 0, -157312, -22325068], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 110592, 'elladic_images': ['16.96.0.165'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9171113673896076396539783049', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 352512], 'lmfdb_iso': '13872.bm', 'lmfdb_label': '13872.bm5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, 68], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.1.6', '16.96.0-16.bb.1.6', '34.6.0.a.1', '68.24.0-68.g.1.1', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6231354005181251226866654848', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112549', 'prec': 107}, 'szpiro_ratio': 4.9814870122104145, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 90920
    {'Ciso': '13872bi', 'Clabel': '13872bi4', 'Cnumber': 4, 'abc_quality': 1.0301007930420596, 'absD': 289402623953161961472, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, 1, 0, 1044928, 708081972], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13872, 'degree': 442368, 'elladic_images': ['16.96.0.119'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6102585479495529490712104263', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1276229915423, 2927177028], 'lmfdb_iso': '13872.bm', 'lmfdb_label': '13872.bm6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 226, -2232], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.ba.2.7', '16.96.0-16.y.2.7', '68.24.0-68.h.1.2', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4925416020725004907466619393', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099591', 'prec': 103}, 'szpiro_ratio': 5.690964676657638, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}