-
ec_curvedata • Show schema
Hide schema
{'Ciso': '154560t', 'Clabel': '154560t6', 'Cnumber': 6, 'abc_quality': 1.0469264639341715, 'absD': 2406623000334336000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 3864, 'ainvs': [0, 1, 0, -15969209345, 776726734418943], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 154560, 'degree': 191102976, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4488791668500614982901894446', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 172, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1718043013877225552292911401729, 9180538178765625000000], 'lmfdb_iso': '154560.gq', 'lmfdb_label': '154560.gq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -249518896, -1517075593024], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.48.0-6.a.1.1', '24.96.0-24.o.2.22', '56.24.0-56.a.1.1', '84.96.0.?', '168.192.1.?', '184.24.0.?', '276.96.0.?', '552.192.1.?', '644.24.0.?', '1288.48.0.?', '1932.192.1.?', '3864.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5953373958210988612269546931', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4091583960101435341643412624', 'prec': 100}, 'szpiro_ratio': 6.870862734962488, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -2, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, 1, 1, -1, 0, -2, 6, -4, 1, -6, 4, -2, -6, 8, -12, 6, -12, -2, 8, 0, 2, -8, 12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 154560, 'isogeny_matrix': [[1, 2, 4, 4, 3, 6, 12, 12], [2, 1, 2, 2, 6, 3, 6, 6], [4, 2, 1, 4, 12, 6, 3, 12], [4, 2, 4, 1, 12, 6, 12, 3], [3, 6, 12, 12, 1, 2, 4, 4], [6, 3, 6, 6, 2, 1, 2, 2], [12, 6, 3, 12, 4, 2, 1, 4], [12, 6, 12, 3, 4, 2, 4, 1]], 'lmfdb_iso': '154560.gq', 'trace_hash': 2185769568853830440}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.00013669500788018692558521249473', 'prec': 113}, 'conductor': 154560, 'gens': [[76261, 1555260, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5953373958210988612269546931', 'prec': 100}], 'lmfdb_label': '154560.gq2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.040713065632485901761815139340', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3529549586913894315090021194385138430', 'prec': 130}, 'tamagawa_product': 2304, 'torsion_generators': [[72831, 0, 1], [73087, 0, 1]], 'xcoord_integral_points': [-145919, 69706, 72831, 73087, 76261, 90751]}
-
lmfdb_label 154560.gq2 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 6929714
{'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 4]}
-
id: 6929715
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 6]}
-
id: 6929717
{'degree': 4, 'field': [49, 0, 0, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 4]}
-
id: 6929716
{'degree': 4, 'field': [64, 0, 30, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 4]}
-
id: 6929718
{'degree': 4, 'field': [100, 0, -26, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 12]}
-
id: 6929719
{'degree': 6, 'field': [3977, 756, 12, -126, 6, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 6]}
-
id: 6929722
{'degree': 8, 'field': [1, 0, 0, 0, 23, 0, 0, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 12]}
-
id: 6929721
{'degree': 8, 'field': [256, 0, -256, 0, -1560, 0, -16, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 8]}
-
id: 6929720
{'degree': 8, 'field': [256, 0, 0, 0, 193, 0, 0, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [4, 4]}
-
id: 6929723
{'degree': 8, 'field': [78400, 0, -5376, 0, 884, 0, 36, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 12]}
-
id: 6929724
{'degree': 12, 'field': [19321, 35028, 22836, 3024, 4506, 504, 238, -504, 24, 0, -6, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [6, 6]}
-
id: 6929725
{'degree': 12, 'field': [41090022, -27790236, 1987065, 2273282, -552999, -41976, 32165, -1506, 183, -8, 63, -6, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 12]}
-
id: 6929729
{'degree': 16, 'field': [5363856, 0, -59289024, 0, 28286032, 0, -6152608, 0, 795260, 0, -70384, 0, 4076, 0, -112, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 24]}
-
id: 6929727
{'degree': 16, 'field': [5616900, 0, -4208240, 0, 708696, 0, 44528, 0, 83464, 0, 10504, 0, 1124, 0, 48, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 8]}
-
id: 6929728
{'degree': 16, 'field': [9363600, 0, -2197584, 0, 730188, 0, 242076, 0, 12745, 0, -480, 0, -34, 0, -12, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [4, 12]}
-
id: 6929726
{'degree': 16, 'field': [2567685760000, 0, 875474675200, 0, 86565719936, 0, 3473238432, 0, 77475044, 0, 1662036, 0, 27389, 0, 202, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 8]}
-
id: 6929730
{'degree': 18, 'field': [-55364666675400, 82251333910800, -15173101739700, -28011409801560, 12957252035310, 582042126060, -1097532268911, 158953192290, -9411918795, 1391147250, 44719443, -29445930, 1920010, -436650, 33867, -1720, 300, 0, 1], 'lmfdb_label': '154560.gq2', 'torsion': [2, 18]}
-
ec_localdata • Show schema
Hide schema
-
id: 3820832
{'conductor': 154560, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '154560.gq2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 3820833
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '154560.gq2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
-
id: 3820834
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '154560.gq2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
-
id: 3820835
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154560.gq2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 3820836
{'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '154560.gq2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
-
ec_galrep • Show schema
Hide schema
-
id: 2665223
{'adelic_gens': [[1925, 3858, 6, 5], [1, 0, 12, 1], [2761, 12, 1110, 73], [9, 4, 3848, 3857], [1289, 12, 3220, 1], [1, 12, 0, 1], [3853, 12, 3852, 13], [959, 3858, 48, 41], [2857, 6, 0, 1]], 'adelic_image': '3864.384.5.?', 'conductor': 154560, 'lmfdb_label': '154560.gq2', 'prime': 0}
-
id: 591203
{'conductor': 154560, 'elladic_image': '4.12.0.1', 'lmfdb_label': '154560.gq2', 'modell_image': '2Cs', 'prime': 2}
-
id: 591204
{'conductor': 154560, 'elladic_image': '3.4.0.1', 'lmfdb_label': '154560.gq2', 'modell_image': '3B', 'prime': 3}
-
lmfdb_iso 154560.gq does not appear in ec_padic