Elliptic curve data - 24300.p1

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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': '24300m', 'Clabel': '24300m1', 'Cnumber': 1, 'absD': 972000000, 'ainvs': [0, 0, 0, 0, -1500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 24300, 'degree': 7776, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40345476844068818333668406712', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '24300.p', 'lmfdb_label': '24300.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, -12], 'min_quad_twist_disc': 5, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3286942803987632018238215721', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6075], [3, 4, 100], [5, 14, 972]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.787575819714108, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, 0, 1, 0, -2, 0, 8, 0, 0, 11, -11, 0, -5, 0, 0, 0, -13, -11, 0, -17, -4, 0, 0, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 24300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '24300.p', 'trace_hash': 1719913612461820931}
• 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': '0.44623501027109576382607208856', 'prec': 103}, 'conductor': 24300, 'gens': [[40, 250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3286942803987632018238215721', 'prec': 100}], 'lmfdb_label': '24300.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71782157017165840687737243372', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7225924878036518259503856059891231873', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [40]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 3, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '24300.p1'}
• ec_torsion_growth •

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

  
  
  • id: 1226644
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '24300.p1', 'torsion': [3]}
  • id: 1226645
    {'degree': 3, 'field': [-12, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [2]}
  • id: 1226646
    {'degree': 6, 'field': [12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [2, 2]}
  • id: 1226647
    {'degree': 6, 'field': [59, -57, 18, -7, 0, -3, 1], 'lmfdb_label': '24300.p1', 'torsion': [3]}
  • id: 1226648
    {'degree': 6, 'field': [96, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [6]}
  • id: 1226649
    {'degree': 12, 'field': [-187500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [4]}
  • id: 1226652
    {'degree': 12, 'field': [144, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [2, 6]}
  • id: 1226651
    {'degree': 12, 'field': [336, 0, 0, 1008, 0, 0, 1728, 0, 0, -42, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [7]}
  • id: 1226650
    {'degree': 12, 'field': [3481, -3363, 2187, -200, -75, -303, -4, 51, -39, 14, 9, -3, 1], 'lmfdb_label': '24300.p1', 'torsion': [3, 3]}
  • id: 1226654
    {'degree': 18, 'field': [-1, 0, 0, 12, 0, 0, 63, 0, 0, 112, 0, 0, 45, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '24300.p1', 'torsion': [6]}
  • id: 1226653
    {'degree': 18, 'field': [21624, -18576, 38448, -25596, 15264, -26676, 26118, -22896, 16344, -7137, 1620, 567, -555, 9, 180, -126, 45, -9, 1], 'lmfdb_label': '24300.p1', 'torsion': [9]}
• 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: 557219
    {'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '24300.p1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 557220
    {'conductor': 24300, 'conductor_valuation': 5, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '24300.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 557221
    {'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '24300.p1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• lmfdb_label 24300.p1 does not appear in ec_galrep
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1152522
    {'lmfdb_iso': '24300.p', 'p': 7, 'prec': 20, 'unit': 23888312501968450, 'val': 0}
  • id: 1152525
    {'lmfdb_iso': '24300.p', 'p': 13, 'prec': 20, 'unit': 753224555070629487817, 'val': 1}
  • id: 1152527
    {'lmfdb_iso': '24300.p', 'p': 19, 'prec': 20, 'unit': 1300765893649997249290070, 'val': 1}
  • id: 1152529
    {'lmfdb_iso': '24300.p', 'p': 31, 'prec': 20, 'unit': 8193122716317098630632426426, 'val': 1}
  • id: 1152521
    {'lmfdb_iso': '24300.p', 'p': 37, 'prec': 20, 'unit': 130008052355539650526571504872, 'val': 1}
  • id: 1152524
    {'lmfdb_iso': '24300.p', 'p': 43, 'prec': 20, 'unit': 3043058547656570541363953488855, 'val': 1}
  • id: 1152528
    {'lmfdb_iso': '24300.p', 'p': 61, 'prec': 20, 'unit': 3207254929715859782421110027160688, 'val': 1}
  • id: 1152520
    {'lmfdb_iso': '24300.p', 'p': 67, 'prec': 20, 'unit': 32249164587432472111897028511243152, 'val': 1}
  • id: 1152523
    {'lmfdb_iso': '24300.p', 'p': 73, 'prec': 20, 'unit': 169997386565136485281121814020202589, 'val': 1}
  • id: 1152526
    {'lmfdb_iso': '24300.p', 'p': 79, 'prec': 20, 'unit': 151272585023530497777655166937213316, 'val': 1}
  • id: 1152519
    {'lmfdb_iso': '24300.p', 'p': 97, 'prec': 20, 'unit': 45132115827435346984378313721712641452, 'val': 1}