Elliptic curve data - 40460.h1

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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': '40460f', 'Clabel': '40460f2', 'Cnumber': 2, 'abc_quality': 0.9885576092493216, 'absD': 260324106486214400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2380, 'ainvs': [0, 0, 0, -8995703, -10384834098], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 40460, 'degree': 979200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5654467281218246901677132812', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [2651848930512, 8575], 'lmfdb_iso': '40460.h', 'lmfdb_label': '40460.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -31127, -2113746], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '140.6.0.?', '340.6.0.?', '476.6.0.?', '2380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0519104853367737938873006443', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.021561400293634242964259096512', 'prec': 110}, 'szpiro_ratio': 5.623113418724206, '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, 1, 0, -3, 0, -4, 0, 4, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, -1, 1, -4, 4, 0, -4, 0, 0, 10, -2, 2, -10, 0, 14, -4, -10, 2, -4, 6, 0, -12, 2, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 40460, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '40460.h', 'trace_hash': 1960190156939871215}
• 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': '0.0059112766465713679393156485203', 'prec': 110}, 'conductor': 40460, 'gens': [[-43341, 11298, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '6.0519104853367737938873006443', 'prec': 100}], 'lmfdb_label': '40460.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.087174780360068013726136900850', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7481657058622328218593567047151440712', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [[-1734, 0, 1]], 'xcoord_integral_points': [-1734]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 3, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '40460.h1'}
• ec_torsion_growth •

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

  
  
  • id: 1989625
    {'degree': 2, 'field': [-119, 0, 1], 'lmfdb_label': '40460.h1', 'torsion': [2, 2]}
  • id: 1989626
    {'degree': 4, 'field': [119, 0, 51, 0, 1], 'lmfdb_label': '40460.h1', 'torsion': [4]}
  • id: 1989629
    {'degree': 8, 'field': [-11270, 1157, -1520, 725, -359, -7, 7, -4, 1], 'lmfdb_label': '40460.h1', 'torsion': [6]}
  • id: 1989628
    {'degree': 8, 'field': [514301, 292672, 157488, 39610, 9111, 790, 78, -2, 1], 'lmfdb_label': '40460.h1', 'torsion': [2, 4]}
  • id: 1989627
    {'degree': 8, 'field': [1451753, -437328, -112610, 19448, 2304, -204, -86, -4, 1], 'lmfdb_label': '40460.h1', 'torsion': [2, 4]}
  • id: 1989631
    {'degree': 16, 'field': [3028645930, 10388960534, 5685707205, 187552144, 544937612, -455635584, -202814993, -68305390, -1060755, 502694, 464023, 8238, 1505, -1154, -6, -4, 1], 'lmfdb_label': '40460.h1', 'torsion': [2, 6]}
  • id: 1989630
    {'degree': 16, 'field': [208735679376, 0, -53660851776, 0, 5749585520, 0, -384607664, 0, 16875964, 0, -294504, 0, 3620, 0, -56, 0, 1], 'lmfdb_label': '40460.h1', 'torsion': [8]}
• 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: 957571
    {'conductor': 40460, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '40460.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 957572
    {'conductor': 40460, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '40460.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 957573
    {'conductor': 40460, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '40460.h1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 957574
    {'conductor': 40460, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '40460.h1', 'prime': 17, 'reduction_type': 0, '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: 1933916
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [2377, 4, 2376, 5], [1, 2, 2, 5], [342, 1, 1019, 0], [1, 4, 0, 1], [477, 4, 954, 9], [284, 1, 1119, 0], [596, 1789, 1785, 596]], 'adelic_image': '2380.12.0.?', 'conductor': 40460, 'lmfdb_label': '40460.h1', 'prime': 0}
  • id: 177296
    {'conductor': 40460, 'elladic_image': '2.3.0.1', 'lmfdb_label': '40460.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2004712
    {'lmfdb_iso': '40460.h', 'p': 11, 'prec': 20, 'unit': 19778578067504441150, 'val': 1}
  • id: 2004711
    {'lmfdb_iso': '40460.h', 'p': 13, 'prec': 20, 'unit': 446542098801581454082, 'val': 1}
  • id: 2004713
    {'lmfdb_iso': '40460.h', 'p': 19, 'prec': 20, 'unit': 174673899094667003748781, 'val': 1}
  • id: 2004719
    {'lmfdb_iso': '40460.h', 'p': 31, 'prec': 20, 'unit': 7860106606684840906691513073, 'val': 1}
  • id: 2004707
    {'lmfdb_iso': '40460.h', 'p': 37, 'prec': 20, 'unit': 365863871359251648825829570216, 'val': 1}
  • id: 2004709
    {'lmfdb_iso': '40460.h', 'p': 41, 'prec': 20, 'unit': 80613423923365935109967584258, 'val': 1}
  • id: 2004710
    {'lmfdb_iso': '40460.h', 'p': 43, 'prec': 20, 'unit': 10783717537300379812586685219963, 'val': 1}
  • id: 2004714
    {'lmfdb_iso': '40460.h', 'p': 53, 'prec': 20, 'unit': 384597928351624233481388883877201, 'val': 1}
  • id: 2004717
    {'lmfdb_iso': '40460.h', 'p': 59, 'prec': 20, 'unit': 2923256450049940307327502464240330, 'val': 1}
  • id: 2004718
    {'lmfdb_iso': '40460.h', 'p': 61, 'prec': 20, 'unit': 4600241062387248570269527753858983, 'val': 1}
  • id: 2004706
    {'lmfdb_iso': '40460.h', 'p': 67, 'prec': 20, 'unit': 40130887283094540914926622531412210, 'val': 1}
  • id: 2004708
    {'lmfdb_iso': '40460.h', 'p': 71, 'prec': 20, 'unit': 87032802914015341656522690986806867, 'val': 1}
  • id: 2004715
    {'lmfdb_iso': '40460.h', 'p': 73, 'prec': 20, 'unit': 27351126248674326690317150056449613, 'val': 1}
  • id: 2004705
    {'lmfdb_iso': '40460.h', 'p': 83, 'prec': 20, 'unit': 1279828403531826255079058116565053714, 'val': 1}
  • id: 2004716
    {'lmfdb_iso': '40460.h', 'p': 89, 'prec': 20, 'unit': 9965088020281502616454658960438577501, 'val': 1}
  • id: 2004704
    {'lmfdb_iso': '40460.h', 'p': 97, 'prec': 20, 'unit': 45361614140806150444370946838328970358, 'val': 1}