Elliptic curve isogeny class data - 21840.a

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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, -1, 0, -1, 0, 1, 0, -6, 0, 1, 0, 1, 0, 0, 0, -8, 0], 'aplist': [0, -1, -1, -1, -6, 1, 0, -8, 0, -6, -2, 2, 0, 10, 12, 12, 0, 2, 4, 0, 2, -8, 12, 0, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 21840, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '21840.a', 'trace_hash': 1890682852373746130}
• ec_padic •

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

  
  
  • id: 1027356
    {'lmfdb_iso': '21840.a', 'p': 11, 'prec': 20, 'unit': 10273307915566998163, 'val': 1}
  • id: 1027360
    {'lmfdb_iso': '21840.a', 'p': 19, 'prec': 20, 'unit': 1235652704445923765502044, 'val': 1}
  • id: 1027357
    {'lmfdb_iso': '21840.a', 'p': 29, 'prec': 20, 'unit': 3640281596605235821378115379, 'val': 1}
  • id: 1027364
    {'lmfdb_iso': '21840.a', 'p': 31, 'prec': 20, 'unit': 1609591138116423166812197718, 'val': 1}
  • id: 1027354
    {'lmfdb_iso': '21840.a', 'p': 37, 'prec': 20, 'unit': 370440507620163042075689851767, 'val': 1}
  • id: 1027359
    {'lmfdb_iso': '21840.a', 'p': 43, 'prec': 20, 'unit': 6122786528914679410011387920852, 'val': 1}
  • id: 1027358
    {'lmfdb_iso': '21840.a', 'p': 47, 'prec': 20, 'unit': 54234217389340158265211219741062, 'val': 1}
  • id: 1027361
    {'lmfdb_iso': '21840.a', 'p': 53, 'prec': 20, 'unit': 393546161922935071252607528593408, 'val': 1}
  • id: 1027363
    {'lmfdb_iso': '21840.a', 'p': 61, 'prec': 20, 'unit': 4020735893404644170138149267581557, 'val': 1}
  • id: 1027353
    {'lmfdb_iso': '21840.a', 'p': 67, 'prec': 20, 'unit': 44486284338847496305461398038278823, 'val': 1}
  • id: 1027355
    {'lmfdb_iso': '21840.a', 'p': 73, 'prec': 20, 'unit': 187146576828821358130675310159648090, 'val': 1}
  • id: 1027362
    {'lmfdb_iso': '21840.a', 'p': 79, 'prec': 20, 'unit': 983097429194484566118751108493592384, 'val': 1}
  • id: 1027352
    {'lmfdb_iso': '21840.a', 'p': 83, 'prec': 20, 'unit': 2605109871050487879044527289597376722, 'val': 1}
  • id: 1027351
    {'lmfdb_iso': '21840.a', 'p': 97, 'prec': 20, 'unit': 27182394453568904579932719452163412836, '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: 145018
    {'Ciso': '21840bf', 'Clabel': '21840bf3', 'Cnumber': 3, 'abc_quality': 0.9876533568380934, 'absD': 31748161536000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -823576, 287950576], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 248832, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9227766204742045803560256079', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15082569606665230489, 7751016000], 'lmfdb_iso': '21840.a', 'lmfdb_label': '21840.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51474, -4499228], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.9', '56.6.0.c.1', '130.6.0.?', '168.48.0.?', '390.24.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.45114318230621280817936647062', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 65], [3, 4, 112], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2296294399142592709387934864', 'prec': 100}, 'szpiro_ratio': 5.252248995022582, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 145019
    {'Ciso': '21840bf', 'Clabel': '21840bf4', 'Cnumber': 4, 'abc_quality': 0.9880308093217611, 'absD': 1401241959936000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -819096, 291233520], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 497664, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2693502107541772350646416686', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-14837772556740428569, 342100087875000], 'lmfdb_iso': '21840.a', 'lmfdb_label': '21840.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51194, -4550524], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.9', '56.6.0.b.1', '168.48.0.?', '260.6.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.90228636461242561635873294125', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 112], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5762030301942319256474095471', 'prec': 100}, 'szpiro_ratio': 5.25452132904322, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 145016
    {'Ciso': '21840bf', 'Clabel': '21840bf1', 'Cnumber': 1, 'abc_quality': 0.9442546674514717, 'absD': 91337488220160, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -12136, 235120], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 82944, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3734704761401497346584029894', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [48264326765929, 22299191460], 'lmfdb_iso': '21840.a', 'lmfdb_label': '21840.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -759, -3674], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.3', '56.6.0.c.1', '130.6.0.?', '168.48.0.?', '390.24.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3534295469186384245380994119', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 65], [3, 4, 1040], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68032329558020442524117086794', 'prec': 103}, 'szpiro_ratio': 3.985936671434024, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 145017
    {'Ciso': '21840bf', 'Clabel': '21840bf2', 'Cnumber': 2, 'abc_quality': 0.9691865210934582, 'absD': 6309077083545600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, -1, 0, 42744, 1727856], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 165888, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7200440664201223893670190501', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2108526614950391, 1540302022350], 'lmfdb_iso': '21840.a', 'lmfdb_label': '21840.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 2671, -26998], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.3', '56.6.0.b.1', '168.48.0.?', '260.6.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7068590938372768490761988237', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 1040], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0268968858601770799497869286', 'prec': 100}, 'szpiro_ratio': 4.363963251812761, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}