Elliptic curve data - 294350.j1

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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': '294350j', 'Clabel': '294350j2', 'Cnumber': 2, 'abc_quality': 0.9464182812981575, 'absD': 54672163197132031250, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 696, 'ainvs': [1, 1, 0, -957075, -506791625], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 294350, 'degree': 8709120, 'elladic_images': ['8.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4905013953149036887027932824', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [-417267265, 235298], 'lmfdb_iso': '294350.j', 'lmfdb_label': '294350.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -45, -185], 'min_quad_twist_disc': 145, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '8.2.0.a.1', '24.8.0.a.1', '87.8.0.?', '696.16.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8161340140119452767615387977', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26610512796773357462268228927', 'prec': 107}, 'szpiro_ratio': 4.257191700718441, '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, 0, 1, 1, -1, -2, 0, -3, -1, 2, -1, 0, 1, -3, 2, 7, 0], 'aplist': [-1, -1, 0, 1, -3, 2, -3, 7, 0, 0, 4, -8, 9, -8, 6, -12, 12, 10, -7, 6, -5, -14, -9, 15, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 294350, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '294350.j', 'trace_hash': 1687019396588669294}
• 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': '0.0068671727670608876597294003490', 'prec': 110}, 'conductor': 294350, 'gens': [[60889, 14764511, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.8161340140119452767615387977', 'prec': 100}], 'lmfdb_label': '294350.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.074376532231896987110800034335', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2984881607155383635662058306996985733', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 294350.j1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12479712
    {'degree': 2, 'field': [22, -1, 1], 'lmfdb_label': '294350.j1', 'torsion': [3]}
  • id: 12479713
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '294350.j1', 'torsion': [2]}
  • id: 12479714
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '294350.j1', 'torsion': [2, 2]}
  • id: 12479715
    {'degree': 6, 'field': [497, -1047, 186, 1, -18, -3, 1], 'lmfdb_label': '294350.j1', 'torsion': [3]}
  • id: 12479716
    {'degree': 6, 'field': [8764, -146, 1436, -51, 69, -1, 1], 'lmfdb_label': '294350.j1', 'torsion': [6]}
  • id: 12479717
    {'degree': 12, 'field': [-135353186, 190790592, -77185729, -2303412, 5921697, -10436, -165871, -27728, 53, 876, 1, -4, 1], 'lmfdb_label': '294350.j1', 'torsion': [4]}
  • id: 12479718
    {'degree': 12, 'field': [242116, -411900, 395832, -164860, 31266, 26340, -8917, 660, 1461, -20, -63, 0, 1], 'lmfdb_label': '294350.j1', 'torsion': [3, 3]}
  • id: 12479719
    {'degree': 12, 'field': [135592192, -2938496, 32960272, -1443872, 3499370, -173824, 205773, -9058, 6937, -220, 127, -2, 1], 'lmfdb_label': '294350.j1', 'torsion': [2, 6]}
  • id: 12479721
    {'degree': 18, 'field': [-29286487, -60792609, -2659521, 54749842, 9681564, -22644354, -4133442, 5936880, 801681, -1023461, -82095, 118476, 3250, -8982, 186, 412, -27, -9, 1], 'lmfdb_label': '294350.j1', 'torsion': [6]}
  • id: 12479720
    {'degree': 18, 'field': [2553296663308, -635298151548, 720791593956, -259240792974, 115021006314, -38133125712, 12796884507, -3083199807, 910378962, -162681170, 40977237, -5700087, 1196286, -125223, 22041, -1578, 228, -9, 1], 'lmfdb_label': '294350.j1', 'torsion': [9]}
• 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: 7291145
    {'conductor': 294350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '294350.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7291146
    {'conductor': 294350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '294350.j1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7291147
    {'conductor': 294350, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '294350.j1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 7291148
    {'conductor': 294350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '294350.j1', 'prime': 29, 'reduction_type': 0, '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: 3517315
    {'adelic_gens': [[4, 3, 9, 7], [175, 174, 261, 523], [143, 0, 0, 695], [405, 406, 638, 521], [146, 435, 319, 523], [691, 6, 690, 7], [349, 174, 87, 523], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '696.16.0.?', 'conductor': 294350, 'lmfdb_label': '294350.j1', 'prime': 0}
  • id: 1040692
    {'conductor': 294350, 'elladic_image': '8.2.0.1', 'lmfdb_label': '294350.j1', 'modell_image': '2G', 'prime': 2}
  • id: 1040693
    {'conductor': 294350, 'elladic_image': '3.4.0.1', 'lmfdb_label': '294350.j1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 294350.j does not appear in ec_padic