Elliptic curve data - 294438.d1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '294438d', 'Clabel': '294438d2', 'Cnumber': 2, 'abc_quality': 0.9235471645788532, 'absD': 96708715529109504, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 588876, 'ainvs': [1, 0, 1, -121330, 6372740], 'analytic_rank': 1, 'bad_primes': [2, 3, 31, 1583], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 294438, 'degree': 4250880, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9525157951376921894200600068', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [197525495291289679513, 96708715529109504], 'lmfdb_iso': '294438.d', 'lmfdb_label': '294438.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -121330, 6372740], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '588876.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.875425021987767837037571694', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 147219], [3, 4, 31], [31, 32, 9498], [1583, 1584, 186]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9525157951376921894200600068', 'prec': 100}, 'szpiro_ratio': 3.7110341833274294, '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, -1, 1, 1, -3, -1, -1, -1, 1, 3, 6, 1, 2, 1, -3, 1, 3, -1, 5, -3], 'aplist': [-1, 1, -3, -1, 6, 2, 3, 5, 0, 6, 1, 2, 0, -10, 0, -9, 6, -10, 14, 9, 14, 8, -6, 12, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 294438, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '294438.d', 'trace_hash': 1426569945356349297}
• 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': '0.020140318243039354613662003849', 'prec': 107}, 'conductor': 294438, 'gens': [[2573685, 2622582845, 77]], 'heights': [{'__RealLiteral__': 0, 'data': '11.875425021987767837037571694', 'prec': 100}], 'lmfdb_label': '294438.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29967789522122033663544847142', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.1176047508934170044105691752886417751', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 294438.d1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12482224
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '294438.d1', 'torsion': [3]}
  • id: 12482225
    {'degree': 3, 'field': [-604, -198, 0, 1], 'lmfdb_label': '294438.d1', 'torsion': [2]}
  • id: 12482226
    {'degree': 3, 'field': [-93, 0, 0, 1], 'lmfdb_label': '294438.d1', 'torsion': [3]}
  • id: 12482227
    {'degree': 6, 'field': [-9392, 80488, 16526, -5342, -793, -2, 1], 'lmfdb_label': '294438.d1', 'torsion': [2, 2]}
  • id: 12482228
    {'degree': 6, 'field': [8836, -282, -273, 179, 6, -3, 1], 'lmfdb_label': '294438.d1', 'torsion': [3, 3]}
  • id: 12482229
    {'degree': 6, 'field': [23763, 0, 4759, 0, 133, 0, 1], 'lmfdb_label': '294438.d1', 'torsion': [6]}
  • id: 12482230
    {'degree': 9, 'field': [-6434856, 0, 0, -9551751, 0, 0, -558, 0, 0, 1], 'lmfdb_label': '294438.d1', 'torsion': [6]}
  • id: 12482231
    {'degree': 12, 'field': [-65199119562, -86128881606, -4397332293, 15978284370, -2082437067, -215950758, 56665327, -2743660, -40655, 14068, -305, -4, 1], 'lmfdb_label': '294438.d1', 'torsion': [4]}
  • id: 12482232
    {'degree': 12, 'field': [83002186201, -523767618, -523055403, 356228562, -2118018, -2814114, 927265, 10746, -5346, 1158, 21, -6, 1], 'lmfdb_label': '294438.d1', 'torsion': [2, 6]}
  • id: 12482234
    {'degree': 18, 'field': [695198061050544, -355567384244232, 96708501662220, -2324393578596, -2047786014816, 646739046018, 69872283271, -25497259911, 10599925179, -1334689116, 348910197, -32838939, 6779158, -394137, 72843, -2718, 435, -9, 1], 'lmfdb_label': '294438.d1', 'torsion': [3, 6]}
  • id: 12482233
    {'degree': 18, 'field': [12734707780826667, 0, 0, -5524846437786048, 0, 0, 2436676641552123, 0, 0, 8733021657984, 0, 0, 10434418201, 0, 0, -101312, 0, 0, 1], 'lmfdb_label': '294438.d1', 'torsion': [9]}
  • id: 12482235
    {'degree': 18, 'field': [2518829549734787512, -843639158399077512, -1155320229955160124, 27918508653064176, 128144984700822102, 8967351696703614, -2457251095461447, -77280741120996, 1887622312338, 1477712995660, 13431520962, -4236566598, -268195290, 8225856, 771642, -4740, -1188, 0, 1], 'lmfdb_label': '294438.d1', 'torsion': [2, 6]}
• 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: 7292683
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '294438.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7292684
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '294438.d1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7292685
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '294438.d1', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7292686
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '294438.d1', 'prime': 1583, 'reduction_type': -1, '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

  
  
  • id: 3517641
    {'adelic_gens': [[4, 3, 9, 7], [343514, 245367, 1, 441658], [291277, 6, 284955, 19], [588871, 6, 588870, 7], [246949, 6, 151971, 19], [1, 6, 0, 1], [294439, 6, 294441, 19], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '588876.16.0.?', 'conductor': 294438, 'lmfdb_label': '294438.d1', 'prime': 0}
  • id: 1040855
    {'conductor': 294438, 'elladic_image': '3.8.0.2', 'lmfdb_label': '294438.d1', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 294438.d does not appear in ec_padic