Elliptic curve data - 25350.c2

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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': '25350t', 'Clabel': '25350t1', 'Cnumber': 1, 'abc_quality': 1.015387680073163, 'absD': 3293544160296000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [1, 1, 0, -1503765, -710392275], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 25350, 'degree': 516096, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1444079546172764354879906362', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [623295446073461, 5458752], 'lmfdb_iso': '25350.c', 'lmfdb_label': '25350.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -8898, -326769], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '104.6.0.?', '130.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 4, 4225], [5, 10, 1014], [13, 98, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45957379777798297381105708211', 'prec': 103}, 'szpiro_ratio': 5.353174851280113, '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, -1, -1, 1, 0, 1, -4, -1, 1, 0, -2, -1, 0, 4, 0, 1, 4, -1, -2, 0], 'aplist': [-1, -1, 0, -4, -2, 0, 4, -2, -6, -2, 4, 6, 6, 8, -8, 10, 14, 10, -4, -8, -10, -8, -12, 18, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 25350, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '25350.c', 'trace_hash': 238717455571957701}
• 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': '0.013721162784282679004739248640', 'prec': 107}, 'conductor': 25350, 'gens': [], 'heights': [], 'lmfdb_label': '25350.c2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13633418056813320936308391119', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.54533672227253283745233564477756863583', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-710, 355, 1]], 'xcoord_integral_points': [-710]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '5': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '25350.c2'}
• ec_torsion_growth •

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

  
  
  • id: 1276148
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '25350.c2', 'torsion': [2, 2]}
  • id: 1276149
    {'degree': 4, 'field': [41, -18, 19, -2, 1], 'lmfdb_label': '25350.c2', 'torsion': [4]}
  • id: 1276152
    {'degree': 8, 'field': [-1024, -5651, 5822, -343, 175, -7, 7, -4, 1], 'lmfdb_label': '25350.c2', 'torsion': [6]}
  • id: 1276151
    {'degree': 8, 'field': [256, 0, -2048, 0, 164, 0, -2, 0, 1], 'lmfdb_label': '25350.c2', 'torsion': [2, 4]}
  • id: 1276150
    {'degree': 8, 'field': [1296, 0, 216, 0, 16, 0, 6, 0, 1], 'lmfdb_label': '25350.c2', 'torsion': [2, 4]}
  • id: 1276154
    {'degree': 16, 'field': [370496, 238208, -319488, 101088, 91440, -130680, -42449, 110266, -66354, 15544, 6481, -4326, -7, 308, -24, -8, 1], 'lmfdb_label': '25350.c2', 'torsion': [2, 6]}
  • id: 1276153
    {'degree': 16, 'field': [2413476, -707616, 1194480, -1105920, 910074, -505976, 306372, -135480, 55891, -14776, 2612, 728, -546, 168, -4, -8, 1], 'lmfdb_label': '25350.c2', 'torsion': [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: 582631
    {'conductor': 25350, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '25350.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 582632
    {'conductor': 25350, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '25350.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 582633
    {'conductor': 25350, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '25350.c2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 582634
    {'conductor': 25350, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '25350.c2', 'prime': 13, '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: 1833279
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [82, 1, 479, 0], [1, 4, 0, 1], [457, 66, 64, 455], [517, 4, 516, 5], [108, 1, 103, 0], [261, 4, 2, 9]], 'adelic_image': '520.12.0.?', 'conductor': 25350, 'lmfdb_label': '25350.c2', 'prime': 0}
  • id: 115577
    {'conductor': 25350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '25350.c2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 25350.c does not appear in ec_padic