Elliptic curve data - 277440.ge4

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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': '277440ge', 'Clabel': '277440ge3', 'Cnumber': 3, 'abc_quality': 0.9898700897490804, 'absD': 1483012239360000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, 1, 0, 27359, 640895], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 277440, 'degree': 1310720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5999123972249837905352007119', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 160, 'isogeny_degrees': [1, 2, 4], 'jinv': [2863288, 1875], 'lmfdb_iso': '277440.ge', 'lmfdb_label': '277440.ge4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 24, -24], 'min_quad_twist_disc': -136, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '40.12.0.bb.1', '68.12.0-4.c.1.2', '120.24.0.?', '408.24.0.?', '680.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8161219610755673172374325769', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68312825050305588636110674886', 'prec': 107}, 'szpiro_ratio': 3.3721180144847755, '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, 0, 0, 1, 0, 4, 0, -2, 0, -1, 0, 0, 0, -8, 0], 'aplist': [0, 1, -1, 0, 4, -2, 0, -8, -4, -6, 0, 2, 6, -4, -12, 6, -12, 14, 12, 0, -2, 8, 4, 2, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 277440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '277440.ge', 'trace_hash': 1222662413908636676}
• 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': '0.040769346368409695711119137253', 'prec': 107}, 'conductor': 277440, 'gens': [[1741, 72996, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8161219610755673172374325769', 'prec': 100}], 'lmfdb_label': '277440.ge4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29905004149743434391132873841', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1534462212448878641813537931971082716', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-23, 0, 1]], 'xcoord_integral_points': [-23, 1741]}
• lmfdb_label 277440.ge4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11827106
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '277440.ge4', 'torsion': [4]}
  • id: 11827105
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '277440.ge4', 'torsion': [2, 2]}
  • id: 11827107
    {'degree': 2, 'field': [102, 0, 1], 'lmfdb_label': '277440.ge4', 'torsion': [4]}
  • id: 11827108
    {'degree': 4, 'field': [106, -4, 5, -2, 1], 'lmfdb_label': '277440.ge4', 'torsion': [2, 4]}
  • id: 11827112
    {'degree': 8, 'field': [-250563, 0, -157216, 0, -1734, 0, 0, 0, 1], 'lmfdb_label': '277440.ge4', 'torsion': [6]}
  • id: 11827110
    {'degree': 8, 'field': [1256, 1312, -1144, -304, 73, 92, -26, -4, 1], 'lmfdb_label': '277440.ge4', 'torsion': [8]}
  • id: 11827109
    {'degree': 8, 'field': [97969, 0, 14756, 0, 1782, 0, 68, 0, 1], 'lmfdb_label': '277440.ge4', 'torsion': [2, 4]}
  • id: 11827111
    {'degree': 8, 'field': [675514, -130312, 74092, -9304, 4018, -256, 100, -4, 1], 'lmfdb_label': '277440.ge4', 'torsion': [8]}
  • id: 11827117
    {'degree': 16, 'field': [-112456, 410704, -172808, -407968, 52304, 135720, 21052, -36424, -13483, 10784, 1680, -1552, -166, 168, -4, -8, 1], 'lmfdb_label': '277440.ge4', 'torsion': [12]}
  • id: 11827113
    {'degree': 16, 'field': [4, 0, 320688, 0, 406780, 0, 108864, 0, 28965, 0, 4860, 0, 526, 0, 36, 0, 1], 'lmfdb_label': '277440.ge4', 'torsion': [4, 4]}
  • id: 11827114
    {'degree': 16, 'field': [1806826, -1118880, 5337044, -540240, 2599906, -125040, 944324, -169980, -67901, 8940, -4504, 1140, 778, -60, -40, 0, 1], 'lmfdb_label': '277440.ge4', 'torsion': [2, 8]}
  • id: 11827115
    {'degree': 16, 'field': [93975664, -21285632, 26556720, -11071776, 6923166, -1846128, 930772, -297824, 111855, -29736, 10884, -2880, 662, -112, 36, -8, 1], 'lmfdb_label': '277440.ge4', 'torsion': [2, 8]}
  • id: 11827116
    {'degree': 16, 'field': [848981645604, 0, 85108771008, 0, 3319937280, 0, 261297144, 0, 10123020, 0, 136176, 0, 5220, 0, 12, 0, 1], 'lmfdb_label': '277440.ge4', 'torsion': [2, 6]}
  • id: 11827118
    {'degree': 16, 'field': [913702324233, -73394307588, 173933050144, -12174406900, 15362676670, -947172032, 826808780, -47842268, 29963580, -1682580, 759864, -39260, 13526, -560, 160, -4, 1], 'lmfdb_label': '277440.ge4', 'torsion': [12]}
• 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: 6873586
    {'conductor': 277440, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '277440.ge4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6873587
    {'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '277440.ge4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6873588
    {'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '277440.ge4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6873589
    {'conductor': 277440, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '277440.ge4', '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: 3415621
    {'adelic_gens': [[7, 6, 2034, 2035], [953, 1428, 1190, 647], [817, 1088, 748, 273], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1799, 0, 0, 2039], [2033, 8, 2032, 9], [1784, 1717, 1751, 1002], [1004, 1921, 2023, 1446]], 'adelic_image': '2040.48.0.?', 'conductor': 277440, 'lmfdb_label': '277440.ge4', 'prime': 0}
  • id: 988687
    {'conductor': 277440, 'elladic_image': '4.6.0.1', 'lmfdb_label': '277440.ge4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 277440.ge does not appear in ec_padic