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ec_curvedata • Show schema
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{'Ciso': '13475e', 'Clabel': '13475e4', 'Cnumber': 4, 'abc_quality': 0.9459068014464316, 'absD': 134570235078125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, -1, 1, -35755, 2550622], 'analytic_rank': 0, 'bad_primes': [5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13475, 'degree': 36864, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4920085507699479391900686287', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [2749884201, 73205], 'lmfdb_iso': '13475.c', 'lmfdb_label': '13475.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -29, -52], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '20.12.0.g.1', '28.12.0-4.c.1.1', '88.12.0.?', '140.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740963', 'prec': 107}, 'szpiro_ratio': 4.529263191083559, '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, 0, 0, 0, 3, -3, 0, -1, 0, 2, 0, 0, -1, 6, 3, 4, 0], 'aplist': [-1, 0, 0, 0, -1, 2, 6, 4, -4, 6, 8, 2, -2, -4, -12, 2, -4, 10, 16, 8, 14, 8, -4, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 13475, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '13475.c', 'trace_hash': 44711810745037189}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.050589203170186870837188388981', 'prec': 107}, 'conductor': 13475, 'gens': [], 'heights': [], 'lmfdb_label': '13475.c2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.58189663150082184770715174505', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1637932630016436954143034901051019450', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[491, -495, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '5': 'a', '7': 'a', '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '13475.c2'}
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ec_torsion_growth • Show schema
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id: 694197
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [4]}
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id: 694198
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [4]}
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id: 694196
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '13475.c2', 'torsion': [2, 2]}
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id: 694199
{'degree': 4, 'field': [29, 16, -15, -2, 1], 'lmfdb_label': '13475.c2', 'torsion': [2, 4]}
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id: 694200
{'degree': 8, 'field': [36, -132, 146, -36, 39, -28, 14, -4, 1], 'lmfdb_label': '13475.c2', 'torsion': [2, 4]}
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id: 694201
{'degree': 8, 'field': [64, 0, -976, 0, 317, 0, -32, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [8]}
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id: 694203
{'degree': 8, 'field': [715, -1180, -395, 395, 10, -25, 4, -4, 1], 'lmfdb_label': '13475.c2', 'torsion': [6]}
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id: 694202
{'degree': 8, 'field': [3481, 0, 3328, 0, 694, 0, -48, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [8]}
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id: 694205
{'degree': 16, 'field': [-53884, -206536, -73860, 480920, 358490, -404800, -338578, 148456, 130913, -24860, -23630, 1760, 2004, -44, -76, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [2, 8]}
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id: 694204
{'degree': 16, 'field': [441, 0, -1064, 0, 130, 0, 344, 0, 659, 0, 344, 0, 110, 0, 16, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [4, 4]}
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id: 694209
{'degree': 16, 'field': [55225, 0, 209650, 0, 211525, 0, -89915, 0, 36640, 0, -6545, 0, 964, 0, -56, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [12]}
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id: 694208
{'degree': 16, 'field': [146689, 0, -290497, 0, 253525, 0, -171724, 0, 58810, 0, -9541, 0, 703, 0, -25, 0, 1], 'lmfdb_label': '13475.c2', 'torsion': [12]}
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id: 694207
{'degree': 16, 'field': [468379, -112950, -99442, 321360, -18125, 76704, 8159, -5604, 4510, -5910, 2258, -1047, 382, -135, 35, -6, 1], 'lmfdb_label': '13475.c2', 'torsion': [2, 6]}
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id: 694206
{'degree': 16, 'field': [78273281, -18378184, 32406496, -28712536, 16451358, -3720104, 3047564, -1157328, -171857, 263496, -10204, -21328, 2038, 672, -76, -8, 1], 'lmfdb_label': '13475.c2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 294183
{'conductor': 13475, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '13475.c2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 294184
{'conductor': 13475, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13475.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 294185
{'conductor': 13475, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '13475.c2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1753536
{'adelic_gens': [[939, 938, 1498, 1275], [2521, 448, 2604, 1793], [939, 56, 2058, 1821], [879, 0, 0, 3079], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3073, 8, 3072, 9], [2372, 2639, 329, 874], [7, 6, 3074, 3075]], 'adelic_image': '3080.48.0.?', 'conductor': 13475, 'lmfdb_label': '13475.c2', 'prime': 0}
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id: 63936
{'conductor': 13475, 'elladic_image': '4.6.0.1', 'lmfdb_label': '13475.c2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 13475.c does not appear in ec_padic