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ec_curvedata • Show schema
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{'Ciso': '200277m', 'Clabel': '200277m1', 'Cnumber': 1, 'abc_quality': 0.7795187021442307, 'absD': 1725809366660841, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 15708, 'ainvs': [1, -1, 1, -37769, -1987232], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 200277, 'degree': 765952, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6299298307857260706761857027', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [1860867, 539], 'lmfdb_iso': '200277.l', 'lmfdb_label': '200277.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -131, -374], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '308.6.0.?', '1122.6.0.?', '1428.6.0.?', '15708.12.0.?'], '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': '6.9595992804882500225368715750', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76963324942346341235977656993', 'prec': 107}, 'szpiro_ratio': 3.5413854938019034, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, 2, 0, 1, 3, 0, -2, 1, 0, -4, -1, 0, -1, 0, 0, -2, -2], 'aplist': [-1, 0, 2, 1, 1, -4, 0, -2, 0, -2, -4, -8, 0, 4, 8, -4, -8, -2, 12, 0, 10, 0, 12, -14, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 200277, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '200277.l', 'trace_hash': 975601373571757701}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.038393785763049344461240299229', 'prec': 107}, 'conductor': 200277, 'gens': [[-3836, 62227, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '6.9595992804882500225368715750', 'prec': 100}], 'lmfdb_label': '200277.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35004807138314668137841035409', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8723886114688944531947678097209005862', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[217, -109, 1]], 'xcoord_integral_points': [217]}
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lmfdb_label 200277.l2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8778429
{'degree': 2, 'field': [-140, -1, 1], 'lmfdb_label': '200277.l2', 'torsion': [2, 2]}
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id: 8778430
{'degree': 4, 'field': [561, 0, -51, 0, 1], 'lmfdb_label': '200277.l2', 'torsion': [4]}
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id: 8778433
{'degree': 8, 'field': [-64463, 92552, -56285, -8338, 5044, -247, -83, -4, 1], 'lmfdb_label': '200277.l2', 'torsion': [6]}
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id: 8778432
{'degree': 8, 'field': [9604, 0, -30653, 0, 3900, 0, -128, 0, 1], 'lmfdb_label': '200277.l2', 'torsion': [2, 4]}
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id: 8778431
{'degree': 8, 'field': [123760696, 4491544, -4427206, -128270, 63121, 1214, -400, -4, 1], 'lmfdb_label': '200277.l2', 'torsion': [2, 4]}
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id: 8778434
{'degree': 16, 'field': [5450424064, 10512851968, 5606754816, -151215616, -854402656, -205946880, 30449968, 20316448, -105057, -856388, -84851, 4908, 7640, 590, -141, -2, 1], 'lmfdb_label': '200277.l2', 'torsion': [8]}
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id: 8778435
{'degree': 16, 'field': [36009996169, 0, -23720044019, 0, -1435809641, 0, -84668228, 0, -149393, 0, -39848, 0, 199, 0, -119, 0, 1], 'lmfdb_label': '200277.l2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 4956086
{'conductor': 200277, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '200277.l2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 4956087
{'conductor': 200277, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '200277.l2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 4956088
{'conductor': 200277, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '200277.l2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 4956089
{'conductor': 200277, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '200277.l2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2946539
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [8977, 4, 2246, 9], [1, 2, 2, 5], [1, 4, 0, 1], [15705, 4, 15704, 5], [3929, 11782, 11780, 3927], [5240, 1, 10471, 0], [6472, 1, 10163, 0], [14282, 1, 8567, 0]], 'adelic_image': '15708.12.0.?', 'conductor': 200277, 'lmfdb_label': '200277.l2', 'prime': 0}
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id: 742200
{'conductor': 200277, 'elladic_image': '2.3.0.1', 'lmfdb_label': '200277.l2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 200277.l does not appear in ec_padic