Elliptic curve data - 363090.l2

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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': '363090l', 'Clabel': '363090l2', 'Cnumber': 2, 'abc_quality': 0.9454390012533125, 'absD': 262122028811525610000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1596, 'ainvs': [1, 1, 0, -10285223, -12676419867], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 22020096, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8014552118063756686556269110', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [1022766924906322301161, 2228000482890000], 'lmfdb_iso': '363090.l', 'lmfdb_label': '363090.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -209903, 36927506], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0-2.a.1.1', '76.12.0.?', '84.24.0.?', '228.24.0.?', '532.24.0.?', '1596.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7224583618735562472452954077', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8285001372787190161029505393', 'prec': 100}, 'szpiro_ratio': 4.690701060128524, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, -1, 1, -1, 1, 0, -1, 1, 1, 0, -1, -1, 0, 1, 1, -2, -1, 1, -1], 'aplist': [-1, -1, -1, 0, 0, -1, -2, 1, -4, 2, 0, 6, -6, -12, -4, -14, 4, 2, -12, 8, 6, 0, 0, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 363090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '363090.l', 'trace_hash': 75286905468304730}
• 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': '0.0036871170129215317088603496480', 'prec': 110}, 'conductor': 363090, 'gens': [[-1789, 2348, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7224583618735562472452954077', 'prec': 100}], 'lmfdb_label': '363090.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.084314634884755022656013143757', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1853788203186176337313405240716179759', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-1786, 893, 1], [3702, -1851, 1]], 'xcoord_integral_points': [-1789, -1786, 3702, 238314]}
• lmfdb_label 363090.l2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094505
    {'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '363090.l2', 'torsion': [2, 4]}
  • id: 15094507
    {'degree': 4, 'field': [9, 0, -13, 0, 1], 'lmfdb_label': '363090.l2', 'torsion': [2, 4]}
  • id: 15094506
    {'degree': 4, 'field': [1246, -14, 15, -2, 1], 'lmfdb_label': '363090.l2', 'torsion': [2, 4]}
  • id: 15094508
    {'degree': 8, 'field': [-1843968, 0, -184016, 0, -4704, 0, 0, 0, 1], 'lmfdb_label': '363090.l2', 'torsion': [2, 6]}
  • id: 15094510
    {'degree': 16, 'field': [551104, -297216, 603200, -806944, 955100, -853848, 642218, -386136, 205399, -87588, 33406, -9800, 2604, -476, 88, -8, 1], 'lmfdb_label': '363090.l2', 'torsion': [2, 8]}
  • id: 15094509
    {'degree': 16, 'field': [1449616, 0, -672308, 0, 292049, 0, -98244, 0, 26732, 0, -4686, 0, 524, 0, -32, 0, 1], 'lmfdb_label': '363090.l2', 'torsion': [4, 4]}
  • id: 15094512
    {'degree': 16, 'field': [177035636597, 292278900912, 179976200820, 56069036176, 8410561238, -958526136, -739396536, -128481344, -1659369, 3041368, 498576, 29184, -4070, -1064, -36, 0, 1], 'lmfdb_label': '363090.l2', 'torsion': [2, 8]}
  • id: 15094511
    {'degree': 16, 'field': [1882868614657156, 0, -45127069969688, 0, 1898976314272, 0, -54173128748, 0, 884855653, 0, -9371084, 0, 64318, 0, -296, 0, 1], 'lmfdb_label': '363090.l2', 'torsion': [2, 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: 8980930
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.l2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980931
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.l2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980932
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.l2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980933
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '363090.l2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8980934
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.l2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980935
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.l2', 'prime': 19, '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: 3925852
    {'adelic_gens': [[1, 4, 0, 1], [687, 686, 1442, 911], [1, 0, 4, 1], [799, 1372, 0, 1], [1009, 1372, 1106, 1149], [1593, 4, 1592, 5], [683, 0, 0, 1595]], 'adelic_image': '1596.48.0.?', 'conductor': 363090, 'lmfdb_label': '363090.l2', 'prime': 0}
  • id: 1249908
    {'conductor': 363090, 'elladic_image': '2.6.0.1', 'lmfdb_label': '363090.l2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 363090.l does not appear in ec_padic