Elliptic curve data - 388080.y7

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• 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': '388080y', 'Clabel': '388080y5', 'Cnumber': 5, 'abc_quality': 1.0385188951399564, 'absD': 2075919253297303607433423912960, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -995273643, -70366370515238], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 509607936, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4983432751324956875924028056', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-310366976336070130009, 5909282337130963560], 'lmfdb_iso': '388080.y', 'lmfdb_label': '388080.y7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -141054, 118709176], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.3', '40.12.0.s.1', '60.48.0.c.4', '84.48.0.?', '120.96.1.?', '168.96.0.?', '264.96.0.?', '420.96.0.?', '616.12.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2829348757108388799248716940', 'prec': 100}, 'szpiro_ratio': 6.006124655402133, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, -1, 0, -1, -2, -6, -4, 0, 6, -4, 2, -6, 4, 0, 6, -12, -14, 16, 0, -2, 4, 0, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 388080, 'isogeny_matrix': [[1, 2, 3, 4, 6, 12, 12, 4], [2, 1, 6, 2, 3, 6, 6, 2], [3, 6, 1, 12, 2, 4, 4, 12], [4, 2, 12, 1, 6, 3, 12, 4], [6, 3, 2, 6, 1, 2, 2, 6], [12, 6, 4, 3, 2, 1, 4, 12], [12, 6, 4, 12, 2, 4, 1, 3], [4, 2, 12, 4, 6, 12, 3, 1]], 'lmfdb_iso': '388080.y', 'trace_hash': 531616782072085948}
• 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': '0.00012381939447316754274299348116', 'prec': 113}, 'conductor': 388080, 'gens': [], 'heights': [], 'lmfdb_label': '388080.y7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.011257347112753920124885368515', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.36023510760812544399633179248342372694', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[49238, 0, 1]], 'xcoord_integral_points': [49238]}
• lmfdb_label 388080.y7 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16037993
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '388080.y7', 'torsion': [4]}
  • id: 16037992
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 2]}
  • id: 16037995
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [6]}
  • id: 16037994
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [4]}
  • id: 16037998
    {'degree': 4, 'field': [16, 0, 13, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [12]}
  • id: 16037996
    {'degree': 4, 'field': [64, 0, 26, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 4]}
  • id: 16037999
    {'degree': 4, 'field': [121, 0, 20, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [12]}
  • id: 16037997
    {'degree': 4, 'field': [121, 0, 62, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 6]}
  • id: 16038000
    {'degree': 6, 'field': [2682, -2310, 147, -110, -21, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [6]}
  • id: 16038002
    {'degree': 8, 'field': [1600, 0, 11550, 0, -1235, 0, 0, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [8]}
  • id: 16038004
    {'degree': 8, 'field': [2116, 0, -12, 0, 173, 0, 18, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 12]}
  • id: 16038001
    {'degree': 8, 'field': [29281, 34440, 10432, -3120, 774, -120, -32, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 4]}
  • id: 16038003
    {'degree': 8, 'field': [336400, 0, 32160, 0, 1984, 0, 72, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [8]}
  • id: 16038005
    {'degree': 12, 'field': [121284, 271908, 286410, 86310, -20717, -10248, 2453, -2184, 390, -42, 23, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [3, 6]}
  • id: 16038007
    {'degree': 12, 'field': [5419584, 0, -1394103, 0, -104645, 0, -3175, 0, 465, 0, -13, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [12]}
  • id: 16038008
    {'degree': 12, 'field': [5480281, 0, 1606282, 0, 97551, 0, 4028, 0, 951, 0, -38, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [12]}
  • id: 16038006
    {'degree': 12, 'field': [18205544, -45701040, 28056828, 1599620, 118425, 751080, 28770, 0, 975, -220, 18, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 6]}
  • id: 16038012
    {'degree': 16, 'field': [9150625, 0, 0, 0, 2863000, 0, 0, 0, 277650, 0, 0, 0, 280, 0, 0, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 12]}
  • id: 16038013
    {'degree': 16, 'field': [65610000, 0, -88695000, 0, 34916625, 0, 3486750, 0, 383875, 0, 21300, 0, 835, 0, 30, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [24]}
  • id: 16038009
    {'degree': 16, 'field': [442050625, 0, 0, 0, -26870000, 0, 0, 0, 434850, 0, 0, 0, 400, 0, 0, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [4, 4]}
  • id: 16038014
    {'degree': 16, 'field': [983010609, 0, 440115144, 0, 80290960, 0, 8046584, 0, 580818, 0, 34312, 0, 1680, 0, 56, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [24]}
  • id: 16038011
    {'degree': 16, 'field': [3105721441, 0, -11886024, 0, 62489408, 0, 13442664, 0, 2750658, 0, 252408, 0, 10112, 0, 168, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 8]}
  • id: 16038010
    {'degree': 16, 'field': [6781522500, 0, 1411155000, 0, 377917000, 0, -3614500, 0, -390075, 0, 19000, 0, 1170, 0, 20, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [2, 8]}
  • id: 16038015
    {'degree': 18, 'field': [341623664649, -494686171350, 377858756898, -119383584762, 10573508358, -3769545276, 3099101776, 83683152, -246111747, -9639246, 14784945, -113022, -516536, 4536, 13461, -120, -168, 0, 1], 'lmfdb_label': '388080.y7', 'torsion': [18]}
• 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: 9597325
    {'conductor': 388080, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '388080.y7', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9597326
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '388080.y7', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9597327
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '388080.y7', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9597328
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '388080.y7', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9597329
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '388080.y7', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 4074435
    {'adelic_gens': [[1, 24, 0, 1], [1, 0, 24, 1], [1, 12, 12, 145], [4619, 9216, 6160, 7699], [6914, 9219, 7215, 374], [4242, 2719, 7037, 6692], [9217, 24, 9216, 25], [3712, 3, 3237, 9154], [2521, 24, 2532, 289], [3959, 9216, 1308, 8951], [15, 106, 7934, 11]], 'adelic_image': '9240.384.5.?', 'conductor': 388080, 'lmfdb_label': '388080.y7', 'prime': 0}
  • id: 1324492
    {'conductor': 388080, 'elladic_image': '4.6.0.1', 'lmfdb_label': '388080.y7', 'modell_image': '2B', 'prime': 2}
  • id: 1324493
    {'conductor': 388080, 'elladic_image': '3.4.0.1', 'lmfdb_label': '388080.y7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 388080.y does not appear in ec_padic