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ec_curvedata • Show schema
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{'Ciso': '454854q', 'Clabel': '454854q1', 'Cnumber': 1, 'abc_quality': 1.061638571904524, 'absD': 2256677953619033604096, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [1, 1, 1, -839254667, 9357773289401], 'analytic_rank': 1, 'bad_primes': [2, 3, 41, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 454854, 'degree': 126443520, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5949799479436285853530130886', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [10341755683137709164937, 356992303104], 'lmfdb_iso': '454854.q', 'lmfdb_label': '454854.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -453897, -117739700], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '82.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7931272672539548481770085267', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75809], [3, 4, 151618], [7, 2, 227427], [41, 42, 11094], [43, 926, 246]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7143798900968473736165918319', 'prec': 100}, 'szpiro_ratio': 5.6232104410337085, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 2, -1, -2, 1, 1, 2, 4, -1, 4, -2, -2, 1, -2, 1, 0, 2], 'aplist': [1, -1, 2, -2, 4, 4, -2, 0, 4, 0, 4, -2, -1, 0, -2, -4, -4, -10, -8, 10, 2, -14, -12, -10, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 454854, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '454854.q', 'trace_hash': 661263308215433782}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00075411936317506398707642435910', 'prec': 113}, 'conductor': 454854, 'gens': [[2354067, 822762986, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7931272672539548481770085267', 'prec': 100}], 'lmfdb_label': '454854.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10754097487684042325723210345', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.432812212819177841152038141796766670', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[16723, -8362, 1]], 'xcoord_integral_points': [16723]}
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lmfdb_label 454854.q1 does not appear in ec_iwasawa
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lmfdb_label 454854.q1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11223276
{'conductor': 454854, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '454854.q1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
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id: 11223277
{'conductor': 454854, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '454854.q1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11223278
{'conductor': 454854, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '454854.q1', 'prime': 41, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11223279
{'conductor': 454854, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '454854.q1', 'prime': 43, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4462510
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [325, 4, 324, 5], [1, 2, 2, 5], [1, 4, 0, 1], [165, 4, 2, 9], [209, 124, 40, 287], [258, 1, 199, 0]], 'adelic_image': '328.12.0.?', 'conductor': 454854, 'lmfdb_label': '454854.q1', 'prime': 0}
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id: 1519162
{'conductor': 454854, 'elladic_image': '8.6.0.4', 'lmfdb_label': '454854.q1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 454854.q does not appear in ec_padic