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ec_curvedata • Show schema
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{'Ciso': '174240dm', 'Clabel': '174240dm1', 'Cnumber': 1, 'abc_quality': 0.912011678122623, 'absD': 493857492480, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 120, 'ainvs': [0, 0, 0, -8283, 288178], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 174240, 'degree': 215040, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0720324129880274674133718820', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [1391566088, 10935], 'lmfdb_iso': '174240.y', 'lmfdb_label': '174240.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -920, 10980], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['120.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9905776350713418824694232703', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 8, 19360], [5, 6, 34848], [11, 32, 1440]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39678332889904811769083209055', 'prec': 107}, 'szpiro_ratio': 3.2050778068439865, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 5, 0], 'aplist': [0, 0, -1, -1, 0, 3, 1, 5, -2, -3, 8, 5, 12, -4, 10, 2, -6, -10, -2, 13, 0, -14, 3, 8, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 174240, 'isogeny_matrix': [[1]], 'lmfdb_iso': '174240.y', 'trace_hash': 1799000656252603655}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11717756723831803104711147039', 'prec': 103}, 'conductor': 174240, 'gens': [[-94, 486, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9905776350713418824694232703', 'prec': 100}], 'lmfdb_label': '174240.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.93615129084738659544954059186', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4539272904158990018635256323239421079', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-94]}
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lmfdb_label 174240.y1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7729855
{'degree': 3, 'field': [-22, -33, 0, 1], 'lmfdb_label': '174240.y1', 'torsion': [2]}
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id: 7729856
{'degree': 6, 'field': [-750, 0, 301, 0, -32, 0, 1], 'lmfdb_label': '174240.y1', 'torsion': [2, 2]}
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id: 7729857
{'degree': 8, 'field': [116290, 43292, -5540, -2800, 556, 68, -38, -4, 1], 'lmfdb_label': '174240.y1', 'torsion': [3]}
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id: 7729858
{'degree': 12, 'field': [632703, 1417632, -1484956, -128260, 318659, -36960, -34232, 3080, 1661, 0, -44, -4, 1], 'lmfdb_label': '174240.y1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 4310948
{'conductor': 174240, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '174240.y1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 4310949
{'conductor': 174240, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '174240.y1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4310950
{'conductor': 174240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '174240.y1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4310951
{'conductor': 174240, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '174240.y1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 0, 2, 1], [119, 2, 118, 3], [61, 2, 61, 3], [31, 2, 31, 3], [1, 2, 0, 1], [1, 1, 119, 0], [97, 2, 97, 3], [41, 2, 41, 3]], 'adelic_image': '120.2.0.?', 'conductor': 174240, 'lmfdb_label': '174240.y1', 'prime': 0}
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lmfdb_iso 174240.y does not appear in ec_padic