Elliptic curve data - 34320.cm3

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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': '34320cl', 'Clabel': '34320cl2', 'Cnumber': 2, 'abc_quality': 0.9054467733128294, 'absD': 9121366425600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -6960, 167508], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 34320, 'degree': 98304, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1974632088560452503313156344', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2], 'jinv': [9104453457841, 2226896100], 'lmfdb_iso': '34320.cm', 'lmfdb_label': '34320.cm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -435, -2835], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '40.24.0-40.a.1.1', '156.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50431602829609994091408351294', 'prec': 103}, 'szpiro_ratio': 3.6537186822369443, '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, 4, 0, 1, 0, 1, 0, 1, 0, 1, 0, 6, 0, 8, 0], 'aplist': [0, 1, 1, 4, 1, 1, 6, 8, -4, 2, 0, -10, 10, -4, 0, 6, -4, 6, 4, -8, -10, 0, -12, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 34320, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '34320.cm', 'trace_hash': 110398630006796903}
• 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': '0.091179387863734409889621861127', 'prec': 107}, 'conductor': 34320, 'gens': [], 'heights': [], 'lmfdb_label': '34320.cm3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.68553958030367257329226818234', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4843166424293805863381454587153061303', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[27, 0, 1], [66, 0, 1]], 'xcoord_integral_points': [-94, 27, 66]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '11': [1, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '34320.cm3'}
• ec_torsion_growth •

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

  
  
  • id: 1705183
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '34320.cm3', 'torsion': [2, 4]}
  • id: 1705185
    {'degree': 4, 'field': [25, 0, 0, 0, 1], 'lmfdb_label': '34320.cm3', 'torsion': [2, 4]}
  • id: 1705184
    {'degree': 4, 'field': [841, 0, -98, 0, 1], 'lmfdb_label': '34320.cm3', 'torsion': [2, 4]}
  • id: 1705188
    {'degree': 8, 'field': [-30000, 0, 4100, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '34320.cm3', 'torsion': [2, 6]}
  • id: 1705186
    {'degree': 8, 'field': [14650, -1100, 1750, -1340, 771, -124, 46, -4, 1], 'lmfdb_label': '34320.cm3', 'torsion': [4, 4]}
  • id: 1705187
    {'degree': 8, 'field': [1405816, 117856, -38855, 11164, -206, -152, 70, -2, 1], 'lmfdb_label': '34320.cm3', 'torsion': [2, 8]}
  • id: 1705190
    {'degree': 16, 'field': [28633201, 0, 201990448, 0, -12393752, 0, -4575384, 0, 506910, 0, -27984, 0, 808, 0, 88, 0, 1], 'lmfdb_label': '34320.cm3', 'torsion': [2, 8]}
  • id: 1705189
    {'degree': 16, 'field': [1521000000, 0, -608400000, 0, -33540000, 0, 156000, 0, 2634100, 0, -240400, 0, 8820, 0, -160, 0, 1], 'lmfdb_label': '34320.cm3', 'torsion': [2, 8]}
  • id: 1705191
    {'degree': 16, 'field': [14571180000, -2649582000, 2814002100, -381388800, 324004200, -165484800, 64609000, -8620880, 2820861, -462688, 112628, -12456, 3350, -616, 108, -8, 1], 'lmfdb_label': '34320.cm3', '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: 805802
    {'conductor': 34320, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '34320.cm3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 805803
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.cm3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 805804
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.cm3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 805805
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '34320.cm3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 805806
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.cm3', '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: 1893325
    {'adelic_gens': [[521, 4, 1042, 9], [1251, 2, 1246, 1559], [1, 4, 0, 1], [1081, 4, 602, 9], [783, 2, 1558, 1559], [1557, 4, 1556, 5], [1169, 1556, 778, 1551], [1, 0, 4, 1]], 'adelic_image': '1560.48.0.?', 'conductor': 34320, 'lmfdb_label': '34320.cm3', 'prime': 0}
  • id: 152790
    {'conductor': 34320, 'elladic_image': '4.12.0.1', 'lmfdb_label': '34320.cm3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 34320.cm does not appear in ec_padic