Elliptic curve data - 363090.b1

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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': '363090b', 'Clabel': '363090b2', 'Cnumber': 2, 'abc_quality': 0.9179355691536427, 'absD': 8948180319009750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 14820, 'ainvs': [1, 1, 0, -1348848, 584975952], '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': '2.4097096865579145906362226362', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [2306880043867559161, 76058277750000], 'lmfdb_iso': '363090.b', 'lmfdb_label': '363090.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -27528, -1709402], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '156.6.0.?', '380.6.0.?', '14820.12.0.?'], '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': '1.6516286548961072291219647117', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4367546120302579380835462645', 'prec': 100}, 'szpiro_ratio': 4.214667811687193, '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, -8, -1, 1, -1], 'aplist': [-1, -1, -1, 0, -4, -1, -8, 1, 0, 4, 4, -6, 6, 6, 2, 6, 6, 14, -12, -6, -4, 14, -2, 10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363090.b', 'trace_hash': 2176702235841254529}
• 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': '0.0080714722926128800037657356698', 'prec': 110}, 'conductor': 363090, 'gens': [[356, 12072, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6516286548961072291219647117', 'prec': 100}], 'lmfdb_label': '363090.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22999921363580461032871090328', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0389863347557309823649196725453452998', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2299, -2299, 2]], 'xcoord_integral_points': [356, 847, 2204]}
• lmfdb_label 363090.b1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094294
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '363090.b1', 'torsion': [2, 2]}
  • id: 15094295
    {'degree': 4, 'field': [7644, 0, 161, 0, 1], 'lmfdb_label': '363090.b1', 'torsion': [4]}
  • id: 15094298
    {'degree': 8, 'field': [-84672, 0, 37296, 0, -1008, 0, 0, 0, 1], 'lmfdb_label': '363090.b1', 'torsion': [6]}
  • id: 15094297
    {'degree': 8, 'field': [7068741, 19494, 357124, -5434, 9269, 434, 224, -4, 1], 'lmfdb_label': '363090.b1', 'torsion': [2, 4]}
  • id: 15094296
    {'degree': 8, 'field': [65173329, 0, 821340, 0, 14391, 0, -468, 0, 1], 'lmfdb_label': '363090.b1', 'torsion': [2, 4]}
  • id: 15094300
    {'degree': 16, 'field': [313597144890, -290298004542, 39650557617, 14031892602, -8888559624, 1285782498, -129489759, 20226024, -13889799, 1916460, -34461, -58968, 5607, 0, -78, 0, 1], 'lmfdb_label': '363090.b1', 'torsion': [2, 6]}
  • id: 15094299
    {'degree': 16, 'field': [66088908902342491, -11924378985125638, -1126657489854186, 289626979048062, 14429721311253, -4348585103718, 22593538076, 9581446576, 3378788718, -327283418, 5101514, -429594, 118473, -5706, 156, -4, 1], 'lmfdb_label': '363090.b1', '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: 8980798
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980799
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980800
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '363090.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980801
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '363090.b1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8980802
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.b1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980803
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.b1', '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: 3925380
    {'adelic_gens': [[14817, 4, 14816, 5], [1, 2, 2, 5], [6842, 1, 11399, 0], [781, 4, 1562, 9], [1, 4, 0, 1], [4942, 1, 4939, 0], [11116, 3709, 3705, 11116], [1, 0, 4, 1], [11857, 4, 8894, 9], [3, 4, 8, 11]], 'adelic_image': '14820.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.b1', 'prime': 0}
  • id: 1249471
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.b1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.b does not appear in ec_padic