Elliptic curve data - 242760.i2

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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': '242760i', 'Clabel': '242760i1', 'Cnumber': 1, 'abc_quality': 0.9738135209730165, 'absD': 79133529987192723840000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, -1, 0, -126397136, 547167542940], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 242760, 'degree': 35389440, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3635080985880526516643419879', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [-9035286561666509764, 3201599874375], 'lmfdb_iso': '242760.i', 'lmfdb_label': '242760.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -437360, 111217008], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '238.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.072539649484098556492563161', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3692787760933235203585479111', 'prec': 100}, 'szpiro_ratio': 5.4499973824308485, '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, 0, -1, 0, -1, 0, -1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0], 'aplist': [0, -1, -1, -1, 2, 0, 0, 2, 0, 4, 8, 4, 10, -12, 12, -6, 6, -2, -8, 16, -2, 0, -6, -6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 242760, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '242760.i', 'trace_hash': 1970835458197763559}
• 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': '0.0011981025317584831003966642498', 'prec': 110}, 'conductor': 242760, 'gens': [[32333866, 6018126272, 71]], 'heights': [{'__RealLiteral__': 0, 'data': '15.072539649484098556492563161', 'prec': 100}], 'lmfdb_label': '242760.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10643830808645672969816720645', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4171824754284920383946617490709625380', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-12982, 0, 1]], 'xcoord_integral_points': [-12982]}
• lmfdb_label 242760.i2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10472061
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '242760.i2', 'torsion': [2, 2]}
  • id: 10472062
    {'degree': 4, 'field': [-7, -2, 3, -2, 1], 'lmfdb_label': '242760.i2', 'torsion': [4]}
  • id: 10472065
    {'degree': 8, 'field': [-175320, 40248, 198576, -123864, 19560, 876, -254, -2, 1], 'lmfdb_label': '242760.i2', 'torsion': [6]}
  • id: 10472063
    {'degree': 8, 'field': [1764, 0, 868, 0, 85, 0, -2, 0, 1], 'lmfdb_label': '242760.i2', 'torsion': [2, 4]}
  • id: 10472064
    {'degree': 8, 'field': [57600, 0, -16187, 0, 1559, 0, -61, 0, 1], 'lmfdb_label': '242760.i2', 'torsion': [2, 4]}
  • id: 10472066
    {'degree': 16, 'field': [-2353657804351, 2158122298296, -234503371756, -182731718984, 15772687846, 4070263120, 715391132, 174170672, -38713659, -9715768, 192232, 160816, 10700, -992, -176, 0, 1], 'lmfdb_label': '242760.i2', 'torsion': [8]}
  • id: 10472067
    {'degree': 16, 'field': [6821185464, 4224427272, -16795935360, -1801478904, 12999232536, -4883615028, 8570374, 118720010, 47795109, 2307614, 579268, -13974, 6250, 1166, 6, -4, 1], 'lmfdb_label': '242760.i2', '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: 6016331
    {'conductor': 242760, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '242760.i2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6016332
    {'conductor': 242760, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '242760.i2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6016333
    {'conductor': 242760, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '242760.i2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6016334
    {'conductor': 242760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '242760.i2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6016335
    {'conductor': 242760, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '242760.i2', 'prime': 17, '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: 3206898
    {'adelic_gens': [[1, 0, 4, 1], [121, 834, 832, 119], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [949, 4, 948, 5], [618, 1, 167, 0], [818, 1, 543, 0], [477, 4, 2, 9]], 'adelic_image': '952.12.0.?', 'conductor': 242760, 'lmfdb_label': '242760.i2', 'prime': 0}
  • id: 879056
    {'conductor': 242760, 'elladic_image': '8.6.0.1', 'lmfdb_label': '242760.i2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 242760.i does not appear in ec_padic