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ec_curvedata • Show schema
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{'Ciso': '3234n', 'Clabel': '3234n4', 'Cnumber': 4, 'abc_quality': 0.9493319727776763, 'absD': 72344958378, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [1, 0, 1, -11100, 448984], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3234, 'degree': 6144, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0386156699564463371408107685', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [1285429208617, 614922], 'lmfdb_iso': '3234.n', 'lmfdb_label': '3234.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -226, -1406], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.2', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '0.065660595428789684588134396778', 'prec': 107}, 'szpiro_ratio': 4.894845865496143, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 2, -1, 0, -1, 1, -2, 1, 1, -2, 0, 2, 1, 6, -1, 4, 2], 'aplist': [-1, 1, 2, 0, 1, -2, 6, 4, -4, 2, 4, -2, 6, 0, 8, -14, -12, 14, 4, 12, -6, 0, 0, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 3234, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3234.n', 'trace_hash': 1974766823220907331}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12527658075791661177497692661', 'prec': 103}, 'conductor': 3234, 'gens': [], 'heights': [], 'lmfdb_label': '3234.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0773180009468748660719330570', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1546360018937497321438661139642682773', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[247, -251, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': [3, 0], '7': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3234.n1'}
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ec_torsion_growth • Show schema
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id: 168827
{'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [2, 2]}
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id: 168828
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [4]}
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id: 168829
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [4]}
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id: 168830
{'degree': 4, 'field': [49, 0, -28, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [2, 4]}
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id: 168834
{'degree': 8, 'field': [-12024, 11133, -11466, 665, -329, -7, 7, -4, 1], 'lmfdb_label': '3234.n1', 'torsion': [6]}
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id: 168832
{'degree': 8, 'field': [576, 0, -6912, 0, 1240, 0, -64, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [8]}
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id: 168831
{'degree': 8, 'field': [28224, 0, 0, 0, 168, 0, 0, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [2, 4]}
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id: 168833
{'degree': 8, 'field': [45796, 0, -4168, 0, 297, 0, -13, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [8]}
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id: 168840
{'degree': 16, 'field': [-1615904, 806080, 565992, -1452600, 759972, 586512, -561160, -39088, 126756, -12628, -10552, 1404, 180, 60, 0, -8, 1], 'lmfdb_label': '3234.n1', 'torsion': [12]}
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id: 168837
{'degree': 16, 'field': [474721, 0, -1661776, 0, 2128384, 0, -1232104, 0, 335326, 0, -44656, 0, 2896, 0, -88, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [2, 8]}
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id: 168838
{'degree': 16, 'field': [2359296, 0, -8644608, 0, 2856960, 0, -786432, 0, 39552, 0, 2976, 0, 592, 0, 22, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [2, 6]}
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id: 168835
{'degree': 16, 'field': [3418801, 0, 924500, 0, 83590, 0, 59792, 0, 8251, 0, -1360, 0, -74, 0, -4, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [4, 4]}
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id: 168839
{'degree': 16, 'field': [6718464, 0, -106655616, 0, -10357632, 0, -1123616, 0, 78128, 0, 3736, 0, 844, 0, -28, 0, 1], 'lmfdb_label': '3234.n1', 'torsion': [12]}
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id: 168836
{'degree': 16, 'field': [51412537, 108641544, 156970154, 131553620, 72757916, 29560080, 7596494, 796236, -150239, -62112, -2078, 604, 744, -56, 4, -8, 1], 'lmfdb_label': '3234.n1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 58610
{'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3234.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 58611
{'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3234.n1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 58612
{'conductor': 3234, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3234.n1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 58613
{'conductor': 3234, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3234.n1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1685042
{'adelic_gens': [[235, 232, 1178, 237], [1, 0, 8, 1], [1, 8, 0, 1], [1841, 8, 1840, 9], [1, 4, 4, 17], [7, 6, 1842, 1843], [232, 1163, 697, 726], [620, 1, 1255, 6], [673, 8, 844, 33], [1052, 1847, 505, 1842]], 'adelic_image': '1848.48.0.?', 'conductor': 3234, 'lmfdb_label': '3234.n1', 'prime': 0}
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id: 16229
{'conductor': 3234, 'elladic_image': '4.6.0.1', 'lmfdb_label': '3234.n1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3234.n does not appear in ec_padic