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ec_curvedata • Show schema
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{'Ciso': '207200q', 'Clabel': '207200q2', 'Cnumber': 2, 'abc_quality': 0.838377822693463, 'absD': 210366016000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1480, 'ainvs': [0, 1, 0, -2968, -67032], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207200, 'degree': 279552, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92211039605321928589787962875', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [-45194100328, 3286969], 'lmfdb_iso': '207200.k', 'lmfdb_label': '207200.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2968, -67032], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.a.1', '296.6.0.?', '740.6.0.?', '1480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9116348801964713270422313532', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [5, 10, 8288], [7, 8, 29600], [37, 38, 5600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.00010946747526478981523429564994', 'prec': 117}, 'szpiro_ratio': 2.9178966251164575, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 1, 0, 1, 0, 4, 0, -2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, -2, 0, 1, 4, -2, -6, 0, 8, 4, -6, -1, -2, -4, -8, -6, 8, 8, -10, -8, -4, 14, 14, 14, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 207200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '207200.k', 'trace_hash': 1877475939092411383}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.15814850345324785543467206016', 'prec': 103}, 'conductor': 207200, 'gens': [[98, 770, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9116348801964713270422313532', 'prec': 100}], 'lmfdb_label': '207200.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32205339617147669610113750835', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9251880432570205719868957232344687871', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[63, 0, 1]], 'xcoord_integral_points': [63, 98, 322]}
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lmfdb_label 207200.k2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9061955
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 2]}
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id: 9061956
{'degree': 4, 'field': [-160, 0, 10, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [4]}
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id: 9061959
{'degree': 8, 'field': [-3000000, 0, 3800000, 0, 6000, 0, 0, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [6]}
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id: 9061958
{'degree': 8, 'field': [256, 0, 416, 0, 16, 0, 26, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 4]}
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id: 9061957
{'degree': 8, 'field': [7921, 0, -2908, 0, 304, 0, -12, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 4]}
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id: 9061961
{'degree': 16, 'field': [2883690000, 0, -561960000, 0, -90996000, 0, 12736000, 0, 1487000, 0, 46000, 0, 2920, 0, 80, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [2, 6]}
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id: 9061960
{'degree': 16, 'field': [200933441536, 0, 26705805312, 0, -9624084480, 0, 7912832, 0, 24396484, 0, 1967968, 0, 48420, 0, 368, 0, 1], 'lmfdb_label': '207200.k2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 5132228
{'conductor': 207200, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '207200.k2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5132229
{'conductor': 207200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '207200.k2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5132230
{'conductor': 207200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '207200.k2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 5132231
{'conductor': 207200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '207200.k2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2990034
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 739, 0], [556, 929, 185, 1296], [1188, 1, 1183, 0], [1001, 4, 522, 9], [1477, 4, 1476, 5]], 'adelic_image': '1480.12.0.?', 'conductor': 207200, 'lmfdb_label': '207200.k2', 'prime': 0}
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id: 765328
{'conductor': 207200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '207200.k2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 207200.k does not appear in ec_padic