Elliptic curve isogeny class data - 26400.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, 0, 0, -4, 0, 1, 0, -1, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, -4, -1, 2, -2, 4, 0, -6, 4, 2, -6, 4, 8, 6, 12, -10, -4, 0, -10, 12, -12, 10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 26400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '26400.a', 'trace_hash': 1818345445402770800}
• lmfdb_iso 26400.a does not appear in ec_padic
• 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: 175261
    {'Ciso': '26400bg', 'Clabel': '26400bg4', 'Cnumber': 4, 'abc_quality': 1.0696710617503884, 'absD': 235224000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -7840808, 8453249112], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 26400, 'degree': 491520, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2684981569539680826816236476', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [6663712298552914184, 29403], 'lmfdb_iso': '26400.a', 'lmfdb_label': '26400.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -313632, -67500540], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0.bi.1', '40.24.0-8.m.1.4', '60.12.0-4.c.1.1', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 8800], [5, 14, 352], [11, 12, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94391881531695891331831988989', 'prec': 103}, 'szpiro_ratio': 5.818433005514843, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 175260
    {'Ciso': '26400bg', 'Clabel': '26400bg3', 'Cnumber': 3, 'abc_quality': 1.0569983480202454, 'absD': 3333709317312000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -520433, 114916737], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 26400, 'degree': 491520, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2684981569539680826816236476', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [243578556889408, 52089208083], 'lmfdb_iso': '26400.a', 'lmfdb_label': '26400.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20817, -911007], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0.h.1', '20.12.0-4.c.1.1', '24.24.0.bk.1', '40.24.0-8.m.1.3', '60.24.0-12.h.1.1', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 8800], [5, 14, 352], [11, 12, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77063202017697258596401185953', 'prec': 103}, 'szpiro_ratio': 5.019178423520145, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 175258
    {'Ciso': '26400bg', 'Clabel': '26400bg1', 'Cnumber': 1, 'abc_quality': 1.0644414171732053, 'absD': 864536409000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -490058, 132200112], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 26400, 'degree': 245760, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9219245666739954279730075869', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [13015685560572352, 864536409], 'lmfdb_iso': '26400.a', 'lmfdb_label': '26400.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -19602, -1049760], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0.a.1', '20.12.0-2.a.1.1', '24.24.0.f.1', '40.24.0-8.b.1.1', '60.24.0-12.a.1.2', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 8800], [5, 14, 352], [11, 12, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77063202017697258596401185956', 'prec': 103}, 'szpiro_ratio': 5.0014581617689355, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 175259
    {'Ciso': '26400bg', 'Clabel': '26400bg2', 'Cnumber': 2, 'abc_quality': 1.04687998465007, 'absD': 3375207300168000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -459808, 149200612], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 26400, 'degree': 491520, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2684981569539680826816236476', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1343891598641864, 421900912521], 'lmfdb_iso': '26400.a', 'lmfdb_label': '26400.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -18392, -1186248], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '20.12.0-4.c.1.2', '24.24.0.n.1', '40.24.0-8.d.1.2', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 8800], [5, 14, 352], [11, 12, 2400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94391881531695891331831988989', 'prec': 103}, 'szpiro_ratio': 5.025252448435307, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}