Elliptic curve data - 363090.c2

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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': '363090c', 'Clabel': '363090c1', 'Cnumber': 1, 'abc_quality': 0.8475837999766693, 'absD': 545412895634880, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 207480, 'ainvs': [1, 1, 0, 15312, -848448], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 1990656, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5134144995221044425322827355', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [3374325044999, 4635933120], 'lmfdb_iso': '363090.c', 'lmfdb_label': '363090.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 312, 2518], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '456.6.0.?', '910.6.0.?', '207480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.82279079268281968202596109741', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54045942499444778997960636378', 'prec': 103}, 'szpiro_ratio': 3.190061013764071, '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, -4, -1, -1, 0, 1, 1, -6, -1, 1, -1], 'aplist': [-1, -1, -1, 0, -4, -1, -6, 1, -6, -6, -4, 6, -2, 2, 10, 0, -4, -12, 12, -12, -10, 0, 0, -14, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363090.c', 'trace_hash': 1812035480213096499}
• 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': '0.048469090230546969042477844067', 'prec': 107}, 'conductor': 363090, 'gens': [[104, 1320, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.82279079268281968202596109741', 'prec': 103}], 'lmfdb_label': '363090.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27639122464218277295830590477', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8192972385113347879684953814918661131', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[48, -24, 1]], 'xcoord_integral_points': [48, 97, 104, 447, 504, 140048]}
• lmfdb_label 363090.c2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094301
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '363090.c2', 'torsion': [2, 2]}
  • id: 15094302
    {'degree': 4, 'field': [-356, -456, -94, 0, 1], 'lmfdb_label': '363090.c2', 'torsion': [4]}
  • id: 15094305
    {'degree': 8, 'field': [-5623432, 3357632, -825244, 166307, -23488, 2555, -89, -2, 1], 'lmfdb_label': '363090.c2', 'torsion': [6]}
  • id: 15094303
    {'degree': 8, 'field': [10169721, 0, -66748, 0, 4574, 0, 148, 0, 1], 'lmfdb_label': '363090.c2', 'torsion': [2, 4]}
  • id: 15094304
    {'degree': 8, 'field': [33160464, 5001408, 1824336, 662112, 62188, -2736, -484, 0, 1], 'lmfdb_label': '363090.c2', 'torsion': [2, 4]}
  • id: 15094307
    {'degree': 16, 'field': [228944823523264, -20125846465280, 20421162629052, -584463854010, 276987754575, 17796716298, -5103091694, -714752402, 183898110, -3693270, 958632, -120066, 20102, -70, 30, -8, 1], 'lmfdb_label': '363090.c2', 'torsion': [2, 6]}
  • id: 15094306
    {'degree': 16, 'field': [867934680825325513, 43169025846323848, -43159302289731180, -29014710014944, 38412105706754, -28645820373720, 9482126099824, 57008062648, -14278535397, 11063272, 4423936, -3645480, 628874, -9856, 1428, -8, 1], 'lmfdb_label': '363090.c2', '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: 8980804
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '363090.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980805
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980806
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980807
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '363090.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8980808
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.c2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980809
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.c2', '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: 3925451
    {'adelic_gens': [[25937, 181546, 181544, 25935], [82994, 1, 165983, 0], [1, 2, 2, 5], [1, 0, 4, 1], [59282, 1, 177839, 0], [1, 4, 0, 1], [3, 4, 8, 11], [163801, 4, 120122, 9], [95762, 1, 159599, 0], [207477, 4, 207476, 5], [69161, 4, 138322, 9], [103741, 4, 2, 9]], 'adelic_image': '207480.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.c2', 'prime': 0}
  • id: 1249561
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.c2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.c does not appear in ec_padic