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ec_curvedata • Show schema
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{'Ciso': '346800m', 'Clabel': '346800m2', 'Cnumber': 2, 'abc_quality': 0.9649577391868128, 'absD': 503385612966513504000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1020, 'ainvs': [0, -1, 0, -2158348, -1628640608], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 346800, 'degree': 17252352, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6789780643794422600537139901', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [-1439609866256, 651714363], 'lmfdb_iso': '346800.m', 'lmfdb_label': '346800.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7468, 334132], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '204.6.0.?', '340.6.0.?', '1020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39791379386951225333393543355', 'prec': 103}, 'szpiro_ratio': 4.38568858438037, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -4, 0, 1, 0, 2, 0, 4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -1, 0, -4, 2, 4, 0, 4, -8, -8, 0, 2, 4, -6, 12, 14, 0, -2, -2, 14, -2, 4, 16, -6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 346800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '346800.m', 'trace_hash': 1108200049554281014}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0047105239798818979050587629429', 'prec': 110}, 'conductor': 346800, 'gens': [], 'heights': [], 'lmfdb_label': '346800.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.060946345725745247451593954080', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1940684461268289082573823468869351324', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1757, 0, 1]], 'xcoord_integral_points': [1757]}
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lmfdb_label 346800.m2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14482870
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '346800.m2', 'torsion': [2, 2]}
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id: 14482871
{'degree': 4, 'field': [-15, 0, 5, 0, 1], 'lmfdb_label': '346800.m2', 'torsion': [4]}
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id: 14482874
{'degree': 8, 'field': [-6264075, 0, -491300, 0, -8670, 0, 0, 0, 1], 'lmfdb_label': '346800.m2', 'torsion': [6]}
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id: 14482872
{'degree': 8, 'field': [81, 0, 339, 0, 136, 0, 19, 0, 1], 'lmfdb_label': '346800.m2', 'torsion': [2, 4]}
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id: 14482873
{'degree': 8, 'field': [11881, 0, 13, 0, 324, 0, 37, 0, 1], 'lmfdb_label': '346800.m2', 'torsion': [2, 4]}
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id: 14482875
{'degree': 16, 'field': [6561, 0, 19926, 0, 4725, 0, -49806, 0, -6336, 0, 5244, 0, -735, 0, 16, 0, 1], 'lmfdb_label': '346800.m2', 'torsion': [8]}
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id: 14482876
{'degree': 16, 'field': [5870411689426, -1929202308136, 92363005782, 34376350808, -8829438038, 373932090, 25396268, -12840854, 9187935, -449486, -46822, 9450, -2108, -28, 12, -4, 1], 'lmfdb_label': '346800.m2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8582561
{'conductor': 346800, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '346800.m2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8582562
{'conductor': 346800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '346800.m2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8582563
{'conductor': 346800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '346800.m2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8582564
{'conductor': 346800, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '346800.m2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3829925
{'adelic_gens': [[1017, 4, 1016, 5], [1, 2, 2, 5], [1, 4, 0, 1], [241, 4, 482, 9], [682, 1, 679, 0], [1, 0, 4, 1], [208, 1, 203, 0], [3, 4, 8, 11], [257, 766, 764, 255]], 'adelic_image': '1020.12.0.?', 'conductor': 346800, 'lmfdb_label': '346800.m2', 'prime': 0}
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id: 1201274
{'conductor': 346800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '346800.m2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 346800.m does not appear in ec_padic