Elliptic curve data - 363090.r2

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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': '363090r', 'Clabel': '363090r2', 'Cnumber': 2, 'abc_quality': 0.9292521123724646, 'absD': 24454533300200640000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3192, 'ainvs': [1, 1, 0, 690777, 88465077], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 12386304, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4090017578038606242294116347', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [309847571416194839, 207860103360000], 'lmfdb_iso': '363090.r', 'lmfdb_label': '363090.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 14097, -255902], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '228.6.0.?', '3192.12.0.?'], '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': '1.1355705732076248278407672536', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4360466832762039716767352630', 'prec': 100}, 'szpiro_ratio': 4.057855819768112, '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, -1, -1, 1, -1, 1, 0, -1, 1, 1, 2, -1, 1, 0, 1, 1, 0, -1, -1, -1], 'aplist': [-1, -1, -1, 0, 2, 1, 0, -1, 8, 10, 6, -8, -6, -8, -6, -2, 12, -10, -2, 8, -10, -16, 4, -6, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363090.r', 'trace_hash': 501337541822467743}
• 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': '0.0080829084413279135128934248450', 'prec': 110}, 'conductor': 363090, 'gens': [[307, 18001, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1355705732076248278407672536', 'prec': 100}], 'lmfdb_label': '363090.r2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13372606785253602532417948657', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8593724007713940990792500125191140365', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-501, 501, 2]], 'xcoord_integral_points': [307, 1581, 3081]}
• lmfdb_label 363090.r2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094816
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '363090.r2', 'torsion': [2, 2]}
  • id: 15094817
    {'degree': 4, 'field': [-14, 0, -1, 0, 1], 'lmfdb_label': '363090.r2', 'torsion': [4]}
  • id: 15094820
    {'degree': 8, 'field': [-9408, 0, -749, 0, 336, 0, 0, 0, 1], 'lmfdb_label': '363090.r2', 'torsion': [6]}
  • id: 15094819
    {'degree': 8, 'field': [4617, 4476, 3698, 632, -121, 32, 22, -4, 1], 'lmfdb_label': '363090.r2', 'torsion': [2, 4]}
  • id: 15094818
    {'degree': 8, 'field': [38416, 0, 13776, 0, 1121, 0, 54, 0, 1], 'lmfdb_label': '363090.r2', 'torsion': [2, 4]}
  • id: 15094822
    {'degree': 16, 'field': [11098622500, 0, 2716693084, 0, -423782135, 0, -4207728, 0, 816732, 0, 133350, 0, 6160, 0, 112, 0, 1], 'lmfdb_label': '363090.r2', 'torsion': [2, 6]}
  • id: 15094821
    {'degree': 16, 'field': [2415047815914496, 0, 680157969458240, 0, -3068350174448, 0, -492244489120, 0, 7942136728, 0, -31897060, 0, -89543, 0, 470, 0, 1], 'lmfdb_label': '363090.r2', '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: 8981074
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '363090.r2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8981075
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.r2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981076
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.r2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981077
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '363090.r2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8981078
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.r2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8981079
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.r2', '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: 3925876
    {'adelic_gens': [[2, 1, 1595, 0], [401, 2794, 2792, 399], [1, 2, 2, 5], [2129, 4, 1066, 9], [1, 4, 0, 1], [1009, 4, 2018, 9], [1826, 1, 2279, 0], [3189, 4, 3188, 5], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '3192.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.r2', 'prime': 0}
  • id: 1249938
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.r2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.r does not appear in ec_padic