Elliptic curve data - 388080.me2

Formats: - HTML - YAML - JSON - 2024-05-22T09:38:26.592143

• 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[]

  
  {'Ciso': '388080me', 'Clabel': '388080me2', 'Cnumber': 2, 'abc_quality': 1.010081147851569, 'absD': 6834448491948000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 84, 'ainvs': [0, 0, 0, -1710072, 869877036], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 388080, 'degree': 7713792, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4247495590766113746401787544', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 316, 'isogeny_degrees': [1, 3], 'jinv': [-2239956387422208, 27680640625], 'lmfdb_iso': '388080.me', 'lmfdb_label': '388080.me2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -190008, 32217668], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '84.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.23562963197527877193583362469', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81437386402634668229803128849', 'prec': 103}, 'szpiro_ratio': 4.249826058575613, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, 0, 0, 5, 0], 'aplist': [0, 0, 1, 0, 1, -5, 0, 5, -6, 0, -1, -7, 0, 1, -12, 6, -6, 10, 13, 12, -5, 1, 0, 0, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 388080, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '388080.me', 'trace_hash': 835903003763746605}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0078322996235958256866333537957', 'prec': 110}, 'conductor': 388080, 'gens': [[1362, 32670, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.23562963197527877193583362469', 'prec': 103}], 'lmfdb_label': '388080.me2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23747770926642719317915946429', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.0577770740963903976640640459004782760', 'prec': 130}, 'tamagawa_product': 144, 'torsion_generators': [], 'xcoord_integral_points': [282, 757, 1362]}
• lmfdb_label 388080.me2 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 16044520
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '388080.me2', 'torsion': [3]}
  • id: 16044521
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '388080.me2', 'torsion': [2]}
  • id: 16044523
    {'degree': 6, 'field': [-112, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '388080.me2', 'torsion': [3]}
  • id: 16044524
    {'degree': 6, 'field': [21, 0, 7, 0, 7, 0, 1], 'lmfdb_label': '388080.me2', 'torsion': [6]}
  • id: 16044522
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '388080.me2', 'torsion': [2, 2]}
  • id: 16044525
    {'degree': 12, 'field': [-91629, 156834, -115704, 35388, -28365, -2532, 4956, -2460, 871, -130, 12, -4, 1], 'lmfdb_label': '388080.me2', 'torsion': [4]}
  • id: 16044527
    {'degree': 12, 'field': [441, 0, -147, 0, -98, 0, -7, 0, 42, 0, -7, 0, 1], 'lmfdb_label': '388080.me2', 'torsion': [2, 6]}
  • id: 16044526
    {'degree': 12, 'field': [12321, 666, 1701, -4530, 1770, 546, -83, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '388080.me2', 'torsion': [3, 3]}
  • id: 16044529
    {'degree': 18, 'field': [-27, 0, 0, -634, 0, 0, 205, 0, 0, -1114, 0, 0, 235, 0, 0, -16, 0, 0, 1], 'lmfdb_label': '388080.me2', 'torsion': [6]}
  • id: 16044528
    {'degree': 18, 'field': [619599179443125, 0, -79596660819375, 0, -3356346924000, 0, 554749589604, 0, 339715530, 0, -13495482, 0, -229320, 0, -5628, 0, 105, 0, 1], 'lmfdb_label': '388080.me2', 'torsion': [9]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 9600585
    {'conductor': 388080, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '388080.me2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9600586
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '388080.me2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9600587
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '388080.me2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 9600588
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '388080.me2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9600589
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '388080.me2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4074255
    {'adelic_gens': [[48, 71, 53, 72], [41, 0, 0, 83], [1, 0, 6, 1], [4, 3, 9, 7], [47, 78, 48, 77], [79, 6, 78, 7], [3, 4, 8, 11], [75, 82, 68, 77], [1, 6, 0, 1]], 'adelic_image': '84.16.0.?', 'conductor': 388080, 'lmfdb_label': '388080.me2', 'prime': 0}
  • id: 1324333
    {'conductor': 388080, 'elladic_image': '3.4.0.1', 'lmfdb_label': '388080.me2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 388080.me does not appear in ec_padic