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ec_curvedata • Show schema
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{'Ciso': '162624bu', 'Clabel': '162624bu2', 'Cnumber': 2, 'abc_quality': 1.0408666435739498, 'absD': 14116818467136, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [0, 1, 0, -163269, 25337409], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162624, 'degree': 912384, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6230066623545841950907892711', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 219, 'isogeny_degrees': [1, 3], 'jinv': [35084566528, 1029], 'lmfdb_iso': '162624.il', 'lmfdb_label': '162624.il1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -337, 2272], 'min_quad_twist_disc': 88, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.3', '42.8.0.b.1', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32216377645763548899245584161', 'prec': 107}, 'szpiro_ratio': 3.968855260949888, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 3, 0, -1, 0, 1, 0, 0, 0, 4, 0, 3, 0, -3, 0, 2, 0], 'aplist': [0, 1, 3, -1, 0, 4, -3, 2, 0, 6, -2, 10, 6, 11, 3, -12, -3, -8, 5, 12, 8, -8, 15, 15, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 162624, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '162624.il', 'trace_hash': 228600429960871349}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.038929096548371424798125492756', 'prec': 107}, 'conductor': 162624, 'gens': [], 'heights': [], 'lmfdb_label': '162624.il1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.65563201469604863057911206174', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9006881322644376752120085556606514253', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 162624.il1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7266778
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [3]}
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id: 7266779
{'degree': 3, 'field': [57, -29, -1, 1], 'lmfdb_label': '162624.il1', 'torsion': [2]}
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id: 7266782
{'degree': 6, 'field': [-3174, 0, 676, 0, -46, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [6]}
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id: 7266780
{'degree': 6, 'field': [-27, -9, 114, -3, -38, -1, 1], 'lmfdb_label': '162624.il1', 'torsion': [2, 2]}
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id: 7266781
{'degree': 6, 'field': [9809, 1188, 12, -198, 6, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [3]}
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id: 7266785
{'degree': 12, 'field': [46656, 0, -90720, 0, 58464, 0, -15384, 0, 1624, 0, -70, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [2, 6]}
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id: 7266784
{'degree': 12, 'field': [126025, 0, 43752, 0, -21540, 0, 886, 0, 60, 0, 12, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [3, 3]}
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id: 7266783
{'degree': 12, 'field': [258741, 0, 26256, 0, -15533, 0, -2416, 0, 111, 0, 32, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [4]}
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id: 7266786
{'degree': 18, 'field': [-635967711, -2136550824, -3644530524, 4416314544, 2651529276, 350044740, 103668126, -11356956, -13074588, 555162, 673020, -54864, -84359, -3252, 4032, -2, -114, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [9]}
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id: 7266787
{'degree': 18, 'field': [3596917577, -221527548, -573679260, -35815446, 290852010, 61313760, -8439621, -8425296, 324468, 96120, 64476, 1944, 7911, -972, 144, -162, 18, 0, 1], 'lmfdb_label': '162624.il1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 4024716
{'conductor': 162624, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '162624.il1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 4024717
{'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162624.il1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 4024718
{'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '162624.il1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4024719
{'conductor': 162624, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '162624.il1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2715923
{'adelic_gens': [[4, 3, 9, 7], [163, 6, 162, 7], [41, 0, 0, 167], [1, 6, 0, 1], [83, 0, 0, 167], [1, 0, 6, 1], [47, 162, 48, 161], [165, 166, 74, 161], [31, 6, 135, 19], [3, 4, 8, 11], [88, 117, 167, 104]], 'adelic_image': '168.16.0.?', 'conductor': 162624, 'lmfdb_label': '162624.il1', 'prime': 0}
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id: 618706
{'conductor': 162624, 'elladic_image': '3.4.0.1', 'lmfdb_label': '162624.il1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 162624.il does not appear in ec_padic