Formats: - HTML - YAML - JSON - 2026-07-22T11:19:13.269293
  • ec_curvedata • Show schema
    {'Ciso': '882b', 'Clabel': '882b1', 'Cnumber': 1, 'abc_quality': 1.032612370203439, 'absD': 10584, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 504, 'ainvs': [1, -1, 0, -93, -323], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 882, 'degree': 144, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20222077783590570308029576466', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [-67645179, 8], 'lmfdb_iso': '882.e', 'lmfdb_label': '882.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -93, -323], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.b.1', '21.8.0-3.a.1.1', '24.8.0.d.1', '63.72.0-63.i.2.1', '72.24.0.?', '168.16.0.?', '504.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 6, 49], [7, 14, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80119220817881867677999919780', 'prec': 107}, 'szpiro_ratio': 3.7182149873722268, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • ec_classdata • Show schema
    {'anlist': [0, 1, -1, 0, 1, 3, 0, 0, -1, 0, -3, 3, 0, -2, 0, 0, 1, 6, 0, -2, 3], 'aplist': [-1, 0, 3, 0, 3, -2, 6, -2, 6, -9, 7, -10, 0, -4, 12, 3, -3, 4, 2, 0, -2, 5, 9, -6, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 882, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '882.e', 'trace_hash': 1051976714601342152}
  • ec_mwbsd • Show schema
    {'area': {'__RealLiteral__': 0, 'data': '1.4984654568221479632871482351', 'prec': 100}, 'conductor': 882, 'gens': [], 'heights': [], 'lmfdb_label': '882.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.76829332914240956680184216014', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5365866582848191336036843202830900567', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
  • ec_iwasawa • Show schema
    {'iwdata': {'2': [2, 0], '3': 'a', '5': [0, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '882.e1'}
  • ec_torsion_growth • Show schema
    • id: 41784
      {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '882.e1', 'torsion': [3]}
    • id: 41785
      {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '882.e1', 'torsion': [2]}
    • id: 41787
      {'degree': 6, 'field': [-48, 72, -24, -6, 9, -3, 1], 'lmfdb_label': '882.e1', 'torsion': [3]}
    • id: 41786
      {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '882.e1', 'torsion': [2, 2]}
    • id: 41788
      {'degree': 6, 'field': [8, -26, 18, 15, -5, -3, 1], 'lmfdb_label': '882.e1', 'torsion': [6]}
    • id: 41789
      {'degree': 12, 'field': [-4178, 7496, -1545, -2894, -1031, 3240, -1079, -258, 201, -88, 37, -6, 1], 'lmfdb_label': '882.e1', 'torsion': [4]}
    • id: 41790
      {'degree': 12, 'field': [64, -48, -84, 230, -15, -168, 155, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '882.e1', 'torsion': [3, 3]}
    • id: 41791
      {'degree': 12, 'field': [2304, 0, 792, 0, 652, 0, 218, 0, 57, 0, 8, 0, 1], 'lmfdb_label': '882.e1', 'torsion': [2, 6]}
    • id: 41793
      {'degree': 18, 'field': [-27, 0, 0, 108, 0, 0, -257, 0, 0, 1364, 0, 0, 123, 0, 0, -16, 0, 0, 1], 'lmfdb_label': '882.e1', 'torsion': [6]}
    • id: 41792
      {'degree': 18, 'field': [71, -162, -102, 1146, 180, -3255, 1446, 4464, 612, -1325, -810, 528, 492, -207, -90, 39, 0, -3, 1], 'lmfdb_label': '882.e1', 'torsion': [9]}
  • ec_localdata • Show schema
    • id: 11670
      {'conductor': 882, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '882.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
    • id: 11671
      {'conductor': 882, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '882.e1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
    • id: 11672
      {'conductor': 882, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '882.e1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • ec_galrep • Show schema
    • id: 1670142
      {'adelic_gens': [[1, 18, 12, 217], [1, 18, 0, 1], [127, 18, 0, 1], [10, 9, 81, 73], [487, 18, 486, 19], [266, 387, 297, 418], [365, 18, 324, 389], [1, 0, 18, 1], [10, 9, 243, 496], [13, 12, 440, 445]], 'adelic_image': '504.144.2.?', 'conductor': 882, 'lmfdb_label': '882.e1', 'prime': 0}
    • id: 4094
      {'conductor': 882, 'elladic_image': '9.12.0.2', 'lmfdb_label': '882.e1', 'modell_image': '3B', 'prime': 3}
  • lmfdb_iso 882.e does not appear in ec_padic