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ec_curvedata • Show schema
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{'Ciso': '418950s', 'Clabel': '418950s1', 'Cnumber': 1, 'abc_quality': 1.082511858129502, 'absD': 25656029254705983781976153641545891840000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 15960, 'ainvs': [1, -1, 0, -831578652512442, -9233246369930800990284], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 418950, 'degree': 183866941440, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '7.2927471298956899209455615712', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [-138357846491853121383730987168838623, 55816105091607428996184145920], 'lmfdb_iso': '418950.s', 'lmfdb_label': '418950.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -75426635149, -7976031835990648], 'min_quad_twist_disc': 105, 'modell_images': [], 'modm_images': ['15960.2.0.?'], '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': '706.43592197640800080535049776', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.4792894175530999091185447285', 'prec': 100}, 'szpiro_ratio': 8.858466658766757, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, -5, 0, 1, 0, 0, 1, 6, 0, -1, 0], 'aplist': [-1, 0, 0, 0, -5, 1, 6, -1, 1, -4, -7, 2, 10, 1, -6, 1, -7, -3, -2, -9, 3, 0, 11, 10, 12], 'class_deg': 1, 'class_size': 1, 'conductor': 418950, 'isogeny_matrix': [[1]], 'lmfdb_iso': '418950.s', 'trace_hash': 938598146914668435}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00000046302061463976322903971682335', 'prec': 123}, 'conductor': 418950, 'gens': [[100932380270193181679971450326607094538836696166895716577718987675995171000014317494094185660916398946971501801153162194750835851944990135943381684092396788027891720906219725812958229455536946977487260211653285399773261075002928865788674172246824220901184241116045125670999513253428753422071138387815724864449, 617766452549134570663461623969918058272234465346004212805136058793638260073789927143630390673611324035605086835517676489066443593898734390026147486868067938181435489443938240399202272866186185165081468448458486566254529410138182058470537364776813441879649964810291403519809650488465440502131358413897949611740973685821892491895531381352824244599714264938164483973845893424812922088429148965984554981366228041509659733036063954936894229140435267764710803498636202, 1569050404249125375095736607512147978860843607863882093713361901141778830791680719074496500700710843541836408142622651229727031056872364575581433888879]], 'heights': [{'__RealLiteral__': 0, 'data': '706.43592197640800080535049776', 'prec': 100}], 'lmfdb_label': '418950.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.00044451172049262819800323717285', 'prec': 113}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0243047535284668017238569936373810851', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 418950.s1 does not appear in ec_iwasawa
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lmfdb_label 418950.s1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10349866
{'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 81, 'j_denominator_valuation': 81, 'kodaira_symbol': 85, 'lmfdb_label': '418950.s1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10349867
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '418950.s1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 10349868
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '418950.s1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 10349869
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '418950.s1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 10349870
{'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '418950.s1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[9577, 2, 9577, 3], [1, 1, 15959, 0], [1, 0, 2, 1], [1, 2, 0, 1], [3991, 2, 0, 1], [15959, 2, 15958, 3], [13681, 2, 13681, 3], [5321, 2, 5321, 3], [4201, 2, 4201, 3], [7981, 2, 7981, 3]], 'adelic_image': '15960.2.0.?', 'conductor': 418950, 'lmfdb_label': '418950.s1', 'prime': 0}
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lmfdb_iso 418950.s does not appear in ec_padic