Elliptic curve data - 5415.l1

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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': '5415i', 'Clabel': '5415i1', 'Cnumber': 1, 'abc_quality': 1.0621597525174942, 'absD': 3665587481001023896125, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10, 'ainvs': [0, 1, 1, -4734996, -2692708189], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5415, 'degree': 402192, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8420711579366267476434449067', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [1914902401024, 597871125], 'lmfdb_iso': '5415.l', 'lmfdb_label': '5415.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -13116, 396722], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['10.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3186721274866511013405097341', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1805], [3, 4, 361], [5, 6, 1083], [7, 2, 1805], [19, 92, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38837200863125969763592204679', 'prec': 103}, 'szpiro_ratio': 6.714616720398093, '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, 2, 1, 2, -1, 2, -2, 0, 1, -2, 1, 2, -2, -4, -1, -4, 2, 2, 0, -2], 'aplist': [2, 1, -1, -2, 1, -2, 2, 0, -4, 5, -9, 6, -6, -10, 0, 2, -7, -7, -8, -3, -2, 11, 6, -15, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 5415, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5415.l', 'trace_hash': 1538860258254606993}
• 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': '0.0033994476519258108763416448326', 'prec': 110}, 'conductor': 5415, 'gens': [[-6819, 165479, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3186721274866511013405097341', 'prec': 100}], 'lmfdb_label': '5415.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10485092148174074641343926602', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8073474307671620932698752241541709032', 'prec': 130}, 'tamagawa_product': 14, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [11, 2, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '5415.l1'}
• ec_torsion_growth •

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

  
  
  • id: 281720
    {'degree': 3, 'field': [45, -25, -1, 1], 'lmfdb_label': '5415.l1', 'torsion': [2]}
  • id: 281721
    {'degree': 6, 'field': [-369, -183, 158, 49, -22, -3, 1], 'lmfdb_label': '5415.l1', 'torsion': [2, 2]}
  • id: 281722
    {'degree': 8, 'field': [-135, 108, -72, -73, 40, -7, 7, -4, 1], 'lmfdb_label': '5415.l1', 'torsion': [3]}
  • id: 281723
    {'degree': 12, 'field': [180500, 0, -147288, 0, 7220, 0, 2280, 0, -380, 0, 0, 0, 1], 'lmfdb_label': '5415.l1', '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: 105535
    {'conductor': 5415, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '5415.l1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 105536
    {'conductor': 5415, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5415.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 105537
    {'conductor': 5415, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '5415.l1', 'prime': 19, 'reduction_type': 0, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [9, 2, 8, 3], [1, 0, 2, 1], [7, 2, 7, 3], [1, 1, 9, 0]], 'adelic_image': '10.2.0.?', 'conductor': 5415, 'lmfdb_label': '5415.l1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 202755
    {'lmfdb_iso': '5415.l', 'p': 7, 'prec': 20, 'unit': 5765710527582065, 'val': 0}
  • id: 202753
    {'lmfdb_iso': '5415.l', 'p': 11, 'prec': 20, 'unit': 225898519113187735377, 'val': -1}
  • id: 202759
    {'lmfdb_iso': '5415.l', 'p': 13, 'prec': 20, 'unit': 630762618433075815482, 'val': 1}
  • id: 202761
    {'lmfdb_iso': '5415.l', 'p': 17, 'prec': 20, 'unit': 12095505298697981543140, 'val': 2}
  • id: 202765
    {'lmfdb_iso': '5415.l', 'p': 23, 'prec': 20, 'unit': 21261129391124802628748009, 'val': 1}
  • id: 202758
    {'lmfdb_iso': '5415.l', 'p': 29, 'prec': 20, 'unit': 817146238346498944147548526, 'val': 1}
  • id: 202770
    {'lmfdb_iso': '5415.l', 'p': 31, 'prec': 20, 'unit': 13517774285554025488571337333, 'val': 1}
  • id: 202754
    {'lmfdb_iso': '5415.l', 'p': 37, 'prec': 20, 'unit': 449607187383524361849768835605, 'val': 1}
  • id: 202756
    {'lmfdb_iso': '5415.l', 'p': 41, 'prec': 20, 'unit': 3500102454478399305478742169176, 'val': 1}
  • id: 202757
    {'lmfdb_iso': '5415.l', 'p': 43, 'prec': 20, 'unit': 1728855558303519222411381728553, 'val': 1}
  • id: 202763
    {'lmfdb_iso': '5415.l', 'p': 53, 'prec': 20, 'unit': 332750512423670007829692408787547, 'val': 1}
  • id: 202768
    {'lmfdb_iso': '5415.l', 'p': 59, 'prec': 20, 'unit': 2161041434358393827497432405954866, 'val': 1}
  • id: 202769
    {'lmfdb_iso': '5415.l', 'p': 61, 'prec': 20, 'unit': 7001353886090424767319521133638043, 'val': 1}
  • id: 202752
    {'lmfdb_iso': '5415.l', 'p': 67, 'prec': 20, 'unit': 45628625092176255075043694608084326, 'val': 1}
  • id: 202767
    {'lmfdb_iso': '5415.l', 'p': 71, 'prec': 20, 'unit': 26646958582981150079231444757136585, 'val': 1}
  • id: 202764
    {'lmfdb_iso': '5415.l', 'p': 73, 'prec': 20, 'unit': 153903903062622169433714323676488193, 'val': 1}
  • id: 202760
    {'lmfdb_iso': '5415.l', 'p': 79, 'prec': 20, 'unit': 192035987494263289581190826885891859, 'val': 1}
  • id: 202762
    {'lmfdb_iso': '5415.l', 'p': 83, 'prec': 20, 'unit': 1383624604560771871232406701605043323, 'val': 1}
  • id: 202766
    {'lmfdb_iso': '5415.l', 'p': 89, 'prec': 20, 'unit': 3495640724960390588043511479822779403, 'val': 1}
  • id: 202751
    {'lmfdb_iso': '5415.l', 'p': 97, 'prec': 20, 'unit': 19706551451749753688603229863607985251, 'val': 1}