Elliptic curve isogeny class data - 42237.c

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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, 0, -1, -2, 0, -4, -3, 0, -2, -4, 0, -1, -4, 0, -1, -2, 0, 0, 2], 'aplist': [1, 0, -2, -4, -4, -1, -2, 0, 0, -10, -4, 2, 6, -12, 0, 6, 12, -2, 8, 0, 2, -8, -4, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 42237, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '42237.c', 'trace_hash': 845422300506021168}
• ec_padic •

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

  
  
  • id: 2102404
    {'lmfdb_iso': '42237.c', 'p': 5, 'prec': 20, 'unit': 2638079373834, 'val': 1}
  • id: 2102405
    {'lmfdb_iso': '42237.c', 'p': 7, 'prec': 20, 'unit': 6857907639498645, 'val': 1}
  • id: 2102403
    {'lmfdb_iso': '42237.c', 'p': 11, 'prec': 20, 'unit': 718066332590383054, 'val': 1}
  • id: 2102411
    {'lmfdb_iso': '42237.c', 'p': 17, 'prec': 20, 'unit': 177421109654554405675848, 'val': 1}
  • id: 2102409
    {'lmfdb_iso': '42237.c', 'p': 29, 'prec': 20, 'unit': 1207608711268742890831748858, 'val': 1}
  • id: 2102406
    {'lmfdb_iso': '42237.c', 'p': 31, 'prec': 20, 'unit': 3299662826248440701511572982, 'val': 1}
  • id: 2102418
    {'lmfdb_iso': '42237.c', 'p': 37, 'prec': 20, 'unit': 340364404364696344377911572849, 'val': 1}
  • id: 2102407
    {'lmfdb_iso': '42237.c', 'p': 41, 'prec': 20, 'unit': 2198847300414059398124250179714, 'val': 1}
  • id: 2102408
    {'lmfdb_iso': '42237.c', 'p': 43, 'prec': 20, 'unit': 687356264411273460761155657294, 'val': 1}
  • id: 2102413
    {'lmfdb_iso': '42237.c', 'p': 53, 'prec': 20, 'unit': 117816221250215946093449707511100, 'val': 1}
  • id: 2102416
    {'lmfdb_iso': '42237.c', 'p': 59, 'prec': 20, 'unit': 3830414634191327374824373698292929, 'val': 1}
  • id: 2102417
    {'lmfdb_iso': '42237.c', 'p': 61, 'prec': 20, 'unit': 6679938008388074586906015630145731, 'val': 1}
  • id: 2102402
    {'lmfdb_iso': '42237.c', 'p': 67, 'prec': 20, 'unit': 14451075731321508441045780037817272, 'val': 1}
  • id: 2102414
    {'lmfdb_iso': '42237.c', 'p': 73, 'prec': 20, 'unit': 204252744521547249439068793415384262, 'val': 1}
  • id: 2102410
    {'lmfdb_iso': '42237.c', 'p': 79, 'prec': 20, 'unit': 308608086681485686448126986090289996, 'val': 1}
  • id: 2102412
    {'lmfdb_iso': '42237.c', 'p': 83, 'prec': 20, 'unit': 1720514167368457045926439253524179654, 'val': 1}
  • id: 2102415
    {'lmfdb_iso': '42237.c', 'p': 89, 'prec': 20, 'unit': 8958471939080865112060767542989030440, 'val': 1}
  • id: 2102401
    {'lmfdb_iso': '42237.c', 'p': 97, 'prec': 20, 'unit': 47191965977973621910364455039446610841, '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: 281206
    {'Ciso': '42237b', 'Clabel': '42237b4', 'Cnumber': 4, 'abc_quality': 1.1161605159157866, 'absD': 36114158953197, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [1, -1, 0, -225873, -41261076], 'analytic_rank': 1, 'bad_primes': [3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 42237, 'degree': 230400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7031591717888876227533593172', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [37159393753, 1053], 'lmfdb_iso': '42237.c', 'lmfdb_label': '42237.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -69, -252], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '26.6.0.b.1', '52.12.0.g.1', '152.12.0.?', '228.12.0.?', '312.24.0.?', '456.24.0.?', '1976.24.0.?', '2964.24.0.?', '5928.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7162592875104508210726389514', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 4693], [13, 14, 3249], [19, 182, 117]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701721', 'prec': 107}, 'szpiro_ratio': 4.562628229668449, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 281205
    {'Ciso': '42237b', 'Clabel': '42237b3', 'Cnumber': 3, 'abc_quality': 0.9608618677341092, 'absD': 2938622489636067, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [1, -1, 0, -63423, 5583006], 'analytic_rank': 1, 'bad_primes': [3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 42237, 'degree': 230400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7031591717888876227533593172', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [822656953, 85683], 'lmfdb_iso': '42237.c', 'lmfdb_label': '42237.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 22], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '76.12.0.?', '104.12.0.?', '228.24.0.?', '312.24.0.?', '1976.24.0.?', '5928.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4290648218776127052681597379', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3249], [3, 8, 4693], [13, 14, 3249], [19, 182, 117]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701721', 'prec': 107}, 'szpiro_ratio': 4.204876466953221, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 281204
    {'Ciso': '42237b', 'Clabel': '42237b2', 'Cnumber': 2, 'abc_quality': 0.9140273049268122, 'absD': 52164896265729, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2964, 'ainvs': [1, -1, 0, -14688, -586845], 'analytic_rank': 1, 'bad_primes': [3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 42237, 'degree': 115200, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3565855815089149680447432565', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [10218313, 1521], 'lmfdb_iso': '42237.c', 'lmfdb_label': '42237.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4, -5], 'min_quad_twist_disc': 57, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '52.12.0.b.1', '76.12.0.?', '156.24.0.?', '228.24.0.?', '988.24.0.?', '2964.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8581296437552254105363194757', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3249], [3, 8, 4693], [13, 14, 3249], [19, 182, 117]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66494005240836010765739307791', 'prec': 107}, 'szpiro_ratio': 3.79286478678066, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 281203
    {'Ciso': '42237b', 'Clabel': '42237b1', 'Cnumber': 1, 'abc_quality': 0.8584360026236014, 'absD': 1337561442711, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [1, -1, 0, 1557, -50760], 'analytic_rank': 1, 'bad_primes': [3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 42237, 'degree': 57600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0100119912289423133361271958', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [12167, 39], 'lmfdb_iso': '42237.c', 'lmfdb_label': '42237.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1, 0], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '76.12.0.?', '78.6.0.?', '104.12.0.?', '156.12.0.?', '312.24.0.?', '456.24.0.?', '1976.24.0.?', '2964.24.0.?', '5928.48.0.?'], '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': '5.7162592875104508210726389514', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 4693], [13, 14, 3249], [19, 182, 117]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0115136426883327623660091386', 'prec': 103}, 'szpiro_ratio': 3.302723429409186, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}