Elliptic curve data - 6480.d1

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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
  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[]

  
  {'Ciso': '6480a', 'Clabel': '6480a1', 'Cnumber': 1, 'abc_quality': 1.0108472223546452, 'absD': 64800000, 'adelic_genus': 6, 'adelic_index': 120, 'adelic_level': 20, 'ainvs': [0, 0, 0, -948, 11228], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6480, 'degree': 1920, 'elladic_images': ['5.5.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43616362709458199987662102338', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [4543847424, 3125], 'lmfdb_iso': '6480.d', 'lmfdb_label': '6480.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -948, -11228], 'min_quad_twist_disc': -4, 'modell_images': ['5S4'], 'modm_images': ['5.5.0.a.1', '10.30.0.a.1', '20.120.6.a.1'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9515996311465976745784628700', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 405], [3, 8, 80], [5, 6, 1296]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39213858950141810353328213657', 'prec': 107}, 'szpiro_ratio': 3.666239993340799, '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, 0, 0, 0, 0, 0, 0, 7, 0], 'aplist': [0, 0, -1, 0, -1, 0, 0, 7, -6, -7, -1, -2, 9, 6, 2, 0, -3, -10, 2, -1, 0, -4, 6, -7, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 6480, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6480.d', 'trace_hash': 1695465254955318057}
• 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': '0.41797767616425261915785107265', 'prec': 103}, 'conductor': 6480, 'gens': [[17, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9515996311465976745784628700', 'prec': 100}], 'lmfdb_label': '6480.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9431113085087956638845707171', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7921753129625483771660318351346447834', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [17]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6480.d1'}
• ec_torsion_growth •

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

  
  
  • id: 338748
    {'degree': 3, 'field': [-14, -12, 0, 1], 'lmfdb_label': '6480.d1', 'torsion': [2]}
  • id: 338749
    {'degree': 6, 'field': [-20, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '6480.d1', 'torsion': [2, 2]}
  • id: 338750
    {'degree': 8, 'field': [59, -68, -80, 26, 40, 4, -10, -2, 1], 'lmfdb_label': '6480.d1', 'torsion': [3]}
  • id: 338751
    {'degree': 12, 'field': [-6, -324, -348, -316, -462, -132, 276, 204, 12, -34, -12, 0, 1], 'lmfdb_label': '6480.d1', 'torsion': [4]}
• 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: 130625
    {'conductor': 6480, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6480.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 130626
    {'conductor': 6480, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '6480.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 130627
    {'conductor': 6480, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '6480.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1706628
    {'adelic_gens': [[19, 4, 2, 11], [10, 17, 7, 9], [6, 7, 5, 12], [13, 18, 10, 17], [10, 11, 19, 11]], 'adelic_image': '10.30.0.?', 'conductor': 6480, 'lmfdb_label': '6480.d1', 'prime': 0}
  • id: 31960
    {'conductor': 6480, 'elladic_image': '5.5.0.1', 'lmfdb_label': '6480.d1', 'modell_image': '5S4', 'prime': 5}
• ec_padic •

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

  
  
  • id: 256453
    {'lmfdb_iso': '6480.d', 'p': 11, 'prec': 20, 'unit': 51543235184378803699, 'val': 1}
  • id: 256455
    {'lmfdb_iso': '6480.d', 'p': 19, 'prec': 20, 'unit': 953191917987149177159996, 'val': 1}
  • id: 256456
    {'lmfdb_iso': '6480.d', 'p': 23, 'prec': 20, 'unit': 562172227448984973795340, 'val': 2}
  • id: 256451
    {'lmfdb_iso': '6480.d', 'p': 29, 'prec': 20, 'unit': 470129064357234385877090716, 'val': 1}
  • id: 256460
    {'lmfdb_iso': '6480.d', 'p': 31, 'prec': 20, 'unit': 5645938527438737376768542983, 'val': 1}
  • id: 256447
    {'lmfdb_iso': '6480.d', 'p': 37, 'prec': 20, 'unit': 549251134464043879445109401597, 'val': 1}
  • id: 256449
    {'lmfdb_iso': '6480.d', 'p': 41, 'prec': 20, 'unit': 539922665212517834413979884445, 'val': 1}
  • id: 256450
    {'lmfdb_iso': '6480.d', 'p': 43, 'prec': 20, 'unit': 10179502811939348253232810130022, 'val': 1}
  • id: 256458
    {'lmfdb_iso': '6480.d', 'p': 47, 'prec': 20, 'unit': 10211435949339990179078556245536, 'val': 1}
  • id: 256454
    {'lmfdb_iso': '6480.d', 'p': 59, 'prec': 20, 'unit': 3276308752396433323871212246523436, 'val': 1}
  • id: 256459
    {'lmfdb_iso': '6480.d', 'p': 61, 'prec': 20, 'unit': 6954491935885936224522816163155644, 'val': 1}
  • id: 256446
    {'lmfdb_iso': '6480.d', 'p': 67, 'prec': 20, 'unit': 19621464521280067387008043538479353, 'val': 1}
  • id: 256448
    {'lmfdb_iso': '6480.d', 'p': 71, 'prec': 20, 'unit': 108021976622782698625366009181288293, 'val': 1}
  • id: 256452
    {'lmfdb_iso': '6480.d', 'p': 79, 'prec': 20, 'unit': 469698159491910993434400136692136375, 'val': 1}
  • id: 256445
    {'lmfdb_iso': '6480.d', 'p': 83, 'prec': 20, 'unit': 1905900103639127272007986530674452987, 'val': 1}
  • id: 256457
    {'lmfdb_iso': '6480.d', 'p': 89, 'prec': 20, 'unit': 3678898537001259347550705995810884700, 'val': 1}
  • id: 256444
    {'lmfdb_iso': '6480.d', 'p': 97, 'prec': 20, 'unit': 55548244383876277382672421283907180868, 'val': 1}