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ec_curvedata • Show schema
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{'Ciso': '254100u', 'Clabel': '254100u1', 'Cnumber': 1, 'abc_quality': 1.1618432048573768, 'absD': 192949350659604000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 42, 'ainvs': [0, -1, 0, -1450533, -73710063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 254100, 'degree': 9192960, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5821574040545630608185123956', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [697367157735424, 398655683181], 'lmfdb_iso': '254100.u', 'lmfdb_label': '254100.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -58021, -612889], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['42.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '41.096510974913726019784708566', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91569111533115424322965405169', 'prec': 103}, 'szpiro_ratio': 4.353059490282348, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 4, 0, 0, 0, -5, 0, 6, 0], 'aplist': [0, -1, 0, -1, 0, 4, -5, 6, 0, -10, -2, 2, -2, 13, -1, -4, -3, 8, -3, -16, 12, 8, 7, 1, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 254100, 'isogeny_matrix': [[1]], 'lmfdb_iso': '254100.u', 'trace_hash': 59014221150424304}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0057169787247453441567110953472', 'prec': 110}, 'conductor': 254100, 'gens': [[-32275420065258376, 34839877156258459204481543, 24203405]], 'heights': [{'__RealLiteral__': 0, 'data': '41.096510974913726019784708566', 'prec': 100}], 'lmfdb_label': '254100.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14902858995956681891111965609', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1245550828492552900049820485588637574', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 254100.u1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10917928
{'degree': 3, 'field': [57, -29, -1, 1], 'lmfdb_label': '254100.u1', 'torsion': [2]}
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id: 10917929
{'degree': 6, 'field': [-27, -9, 114, -3, -38, -1, 1], 'lmfdb_label': '254100.u1', 'torsion': [2, 2]}
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id: 10917930
{'degree': 8, 'field': [474, 3006, -1856, 261, 120, -3, -9, 0, 1], 'lmfdb_label': '254100.u1', 'torsion': [3]}
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id: 10917931
{'degree': 12, 'field': [5338649976, 187743600, -716805056, 9473640, 17885164, 737264, -71048, -59032, 7594, -460, 4, -6, 1], 'lmfdb_label': '254100.u1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 6299186
{'conductor': 254100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '254100.u1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 6299187
{'conductor': 254100, 'conductor_valuation': 1, 'discriminant_valuation': 19, 'j_denominator_valuation': 19, 'kodaira_symbol': 23, 'lmfdb_label': '254100.u1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6299188
{'conductor': 254100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '254100.u1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 6299189
{'conductor': 254100, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '254100.u1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6299190
{'conductor': 254100, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '254100.u1', '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, 1, 41, 0], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [41, 2, 40, 3], [29, 2, 29, 3]], 'adelic_image': '42.2.0.?', 'conductor': 254100, 'lmfdb_label': '254100.u1', 'prime': 0}
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lmfdb_iso 254100.u does not appear in ec_padic