Elliptic curve data - 244800.ip2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '244800ip', 'Clabel': '244800ip3', 'Cnumber': 3, 'abc_quality': 1.0315574162602832, 'absD': 80803127771136000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2040, 'ainvs': [0, 0, 0, -24969900, 48023710000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 244800, 'degree': 12582912, 'elladic_images': ['8.48.0.137'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8942505667525225966530614632', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2, 4], 'jinv': [576615941610337, 27060804], 'lmfdb_iso': '244800.ip', 'lmfdb_label': '244800.ip2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1734, -27936], 'min_quad_twist_disc': -120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.e.1', '60.24.0-4.b.1.2', '120.96.0.?', '136.96.1.?', '2040.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8882493394394234687563245012', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 27200], [5, 14, 9792], [17, 18, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099594', 'prec': 103}, 'szpiro_ratio': 5.05417095377985, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 0, 0, 0, -4, -2, 1, -4, 0, -10, 8, -2, -10, 12, 0, -6, 12, 10, -12, 0, -10, -8, -4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 244800, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '244800.ip', 'trace_hash': 942366047298420777}
• 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': '0.0030625691201991347690030299438', 'prec': 110}, 'conductor': 244800, 'gens': [[2934, 4352, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8882493394394234687563245012', 'prec': 100}], 'lmfdb_label': '244800.ip2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18138414145863304832987389849', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4799757647048127675132772116649485505', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[2870, 0, 1], [2900, 0, 1]], 'xcoord_integral_points': [-5770, -1180, 2870, 2900, 2934, 10550]}
• lmfdb_label 244800.ip2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10558602
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 4]}
  • id: 10558604
    {'degree': 4, 'field': [34, -4, 5, -2, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 4]}
  • id: 10558603
    {'degree': 4, 'field': [49, 0, 16, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 4]}
  • id: 10558609
    {'degree': 8, 'field': [-2167500, 0, -143250, 0, 4500, 0, -40, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 6]}
  • id: 10558608
    {'degree': 8, 'field': [-206, 684, -122, -1076, 419, 140, -42, -4, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 8]}
  • id: 10558605
    {'degree': 8, 'field': [256, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [4, 4]}
  • id: 10558606
    {'degree': 8, 'field': [289, 0, 36, 0, 40, 0, -12, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 8]}
  • id: 10558607
    {'degree': 8, 'field': [61906, -10380, -10062, 480, 563, -60, 18, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 8]}
  • id: 10558612
    {'degree': 16, 'field': [256, 0, -256, 0, 128, 0, -336, 0, 593, 0, -84, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [4, 8]}
  • id: 10558611
    {'degree': 16, 'field': [4096, 0, -32512, 0, 97412, 0, -128772, 0, 63113, 0, 504, 0, 518, 0, -4, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [4, 8]}
  • id: 10558610
    {'degree': 16, 'field': [460224, -235008, 430272, -397152, 225106, -56448, 50400, -9664, -16153, 7664, 2744, -1792, -126, 168, -4, -8, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 8]}
  • id: 10558613
    {'degree': 16, 'field': [21941015625, 0, -4196250000, 0, -212062500, 0, -35737500, 0, -1053750, 0, -66000, 0, -200, 0, -20, 0, 1], 'lmfdb_label': '244800.ip2', 'torsion': [2, 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: 6070742
    {'conductor': 244800, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '244800.ip2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6070743
    {'conductor': 244800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '244800.ip2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6070744
    {'conductor': 244800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '244800.ip2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6070745
    {'conductor': 244800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '244800.ip2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3219754
    {'adelic_gens': [[1, 450, 0, 511], [269, 570, 450, 1109], [241, 960, 420, 1801], [1, 0, 8, 1], [1223, 0, 0, 2039], [2033, 8, 2032, 9], [5, 4, 2036, 2037], [679, 0, 0, 2039], [1, 8, 0, 1]], 'adelic_image': '2040.192.1.?', 'conductor': 244800, 'lmfdb_label': '244800.ip2', 'prime': 0}
  • id: 885850
    {'conductor': 244800, 'elladic_image': '8.48.0.137', 'lmfdb_label': '244800.ip2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 244800.ip does not appear in ec_padic