Elliptic curve data - 152880.i3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '152880ee', 'Clabel': '152880ee4', 'Cnumber': 4, 'abc_quality': 0.9729321235713593, 'absD': 111482478677606400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -442976, -112189440], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 152880, 'degree': 2359296, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0836019364068047911036646891', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [19948814692561, 231344100], 'lmfdb_iso': '152880.i', 'lmfdb_label': '152880.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -565, -5353], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.h.2', '28.24.0-4.b.1.3', '40.24.0.e.1', '104.24.0.?', '120.48.0.?', '168.48.0.?', '280.48.0.?', '312.48.0.?', '520.48.0.?', '728.48.0.?', '840.96.0.?', '1560.96.1.?', '2184.96.0.?', '3640.96.0.?', '10920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9492304329404009294890484923', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 50960], [5, 6, 30576], [7, 26, 3120], [13, 14, 11760]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41749968131920282913375619592', 'prec': 103}, 'szpiro_ratio': 4.240235020023759, '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, -1, 0, -1, 0, 0, 0, 1, 0, -4, 0, -1, 0, 1, 0, 6, 0, 4, 0], 'aplist': [0, -1, -1, 0, -4, -1, 6, 4, -8, 6, -8, -10, 6, -4, 0, -10, 4, 2, 12, -16, -2, 16, -12, -10, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 152880, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '152880.i', 'trace_hash': 979593060851052599}
• 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': '0.015495527070286080826541511078', 'prec': 107}, 'conductor': 152880, 'gens': [[-366, 882, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9492304329404009294890484923', 'prec': 100}], 'lmfdb_label': '152880.i3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18518629997486935291858087544', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3692565731961191958130530642288284104', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-352, 0, 1], [768, 0, 1]], 'xcoord_integral_points': [-415, -366, -352, 768, 1106, 4688]}
• lmfdb_label 152880.i3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6863874
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 4]}
  • id: 6863875
    {'degree': 4, 'field': [9, 0, -34, 0, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 4]}
  • id: 6863876
    {'degree': 4, 'field': [289, 0, 6, 0, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 4]}
  • id: 6863879
    {'degree': 8, 'field': [625, 0, 642, 0, 131, 0, -18, 0, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 8]}
  • id: 6863877
    {'degree': 8, 'field': [666, 468, -394, -156, 99, -28, 14, -4, 1], 'lmfdb_label': '152880.i3', 'torsion': [4, 4]}
  • id: 6863878
    {'degree': 8, 'field': [75076, 0, 78244, 0, 7437, 0, 166, 0, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 8]}
  • id: 6863880
    {'degree': 8, 'field': [831448, -423188, -22079, -4020, -453, -294, -35, -2, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 6]}
  • id: 6863882
    {'degree': 16, 'field': [326041, 0, 3307696, 0, 21201152, 0, -1795752, 0, 292790, 0, -21168, 0, 1232, 0, -56, 0, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 8]}
  • id: 6863883
    {'degree': 16, 'field': [492608, 925504, -713840, -647808, 909376, -771136, 373072, -102704, 29265, -1784, -4, -136, 326, -168, 44, -8, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 12]}
  • id: 6863881
    {'degree': 16, 'field': [1009269361, 0, -854182784, 0, 228199592, 0, -29257032, 0, 1920350, 0, -39648, 0, -88, 0, -56, 0, 1], 'lmfdb_label': '152880.i3', 'torsion': [2, 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: 3780866
    {'conductor': 152880, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '152880.i3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3780867
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '152880.i3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3780868
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '152880.i3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3780869
    {'conductor': 152880, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '152880.i3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3780870
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '152880.i3', 'prime': 13, 'reduction_type': -1, '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: 2655018
    {'adelic_gens': [[3641, 1568, 9884, 6273], [1, 0, 8, 1], [10913, 8, 10912, 9], [1, 8, 0, 1], [1553, 9744, 9366, 1175], [4201, 6244, 0, 1], [4999, 3122, 294, 1555], [5, 4, 10916, 10917], [3119, 0, 0, 10919], [3123, 9758, 6622, 9339]], 'adelic_image': '10920.192.1.?', 'conductor': 152880, 'lmfdb_label': '152880.i3', 'prime': 0}
  • id: 585594
    {'conductor': 152880, 'elladic_image': '4.12.0.3', 'lmfdb_label': '152880.i3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 152880.i does not appear in ec_padic