Elliptic curve data - 155298.s1

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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': '155298k', 'Clabel': '155298k2', 'Cnumber': 2, 'abc_quality': 0.9894636918050275, 'absD': 118937336952774472704, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 28236, 'ainvs': [1, 1, 1, -119560684, 503138401421], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 181], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 155298, 'degree': 21120000, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1720137627029443153013620271', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [189011785721237961448560313537, 118937336952774472704], 'lmfdb_iso': '155298.s', 'lmfdb_label': '155298.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -119560684, 503138401421], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '156.6.0.?', '362.6.0.?', '28236.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1720137627029443153013620271', 'prec': 100}, 'szpiro_ratio': 5.639675105636539, '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, -2, -1, 2, 1, 1, -2, -1, -1, -1, 2, 2, 1, 4, 1, 2, -2], 'aplist': [1, -1, -2, 2, -1, -1, 4, 2, -6, 6, 10, 2, -6, 4, -4, 12, 12, -10, 0, 0, -6, 8, -16, 14, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 155298, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '155298.s', 'trace_hash': 922391678892195674}
• 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': '0.0017572107548995328005326815229', 'prec': 110}, 'conductor': 155298, 'gens': [], 'heights': [], 'lmfdb_label': '155298.s1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15395059462632174616213820630', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0790118925264349232427641259342135714', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[25235, -25239, 2]], 'xcoord_integral_points': []}
• lmfdb_label 155298.s1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6964158
    {'degree': 2, 'field': [-45, -1, 1], 'lmfdb_label': '155298.s1', 'torsion': [2, 2]}
  • id: 6964159
    {'degree': 4, 'field': [1629, 0, 30, 0, 1], 'lmfdb_label': '155298.s1', 'torsion': [4]}
  • id: 6964162
    {'degree': 8, 'field': [-105735322, 3804088, -3839548, 70919, -35456, -7, 7, -4, 1], 'lmfdb_label': '155298.s1', 'torsion': [6]}
  • id: 6964160
    {'degree': 8, 'field': [389376, 0, 15600, 0, 673, 0, -25, 0, 1], 'lmfdb_label': '155298.s1', 'torsion': [2, 4]}
  • id: 6964161
    {'degree': 8, 'field': [7289264071, -693187234, 17779869, 43482, -202478, 8178, -51, -2, 1], 'lmfdb_label': '155298.s1', 'torsion': [2, 4]}
  • id: 6964164
    {'degree': 16, 'field': [695982777112512, -544790613185568, 122398553676384, 3767138307864, -4615263498024, 542901075534, -31228242741, 930864726, 785853221, -122681306, 1180433, 647828, -36977, 308, -83, -4, 1], 'lmfdb_label': '155298.s1', 'torsion': [2, 6]}
  • id: 6964163
    {'degree': 16, 'field': [692228625939316150, -393662628697000920, 120573786649641716, -23302307232242614, 3004866822240215, -246490397181204, 10814663932148, 13646738898, -27455849807, 255501960, 135460756, -10145690, 334353, 484, 52, -2, 1], 'lmfdb_label': '155298.s1', '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: 3840919
    {'conductor': 155298, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '155298.s1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 3840920
    {'conductor': 155298, 'conductor_valuation': 1, 'discriminant_valuation': 22, 'j_denominator_valuation': 22, 'kodaira_symbol': 26, 'lmfdb_label': '155298.s1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3840921
    {'conductor': 155298, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '155298.s1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3840922
    {'conductor': 155298, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '155298.s1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3840923
    {'conductor': 155298, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '155298.s1', 'prime': 181, '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: 2669796
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [28233, 4, 28232, 5], [9413, 4, 18826, 9], [19190, 1, 4523, 0], [7061, 21178, 21176, 7059], [2173, 4, 4346, 9]], 'adelic_image': '28236.12.0.?', 'conductor': 155298, 'lmfdb_label': '155298.s1', 'prime': 0}
  • id: 593673
    {'conductor': 155298, 'elladic_image': '2.3.0.1', 'lmfdb_label': '155298.s1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 155298.s does not appear in ec_padic