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ec_curvedata • Show schema
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{'Ciso': '117600ft', 'Clabel': '117600ft2', 'Cnumber': 2, 'abc_quality': 1.0920135198487568, 'absD': 6175160712000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -628833, 226335537], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 117600, 'degree': 2211840, 'elladic_images': ['8.24.0.131'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3257644545613077033302735437', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [-29218112, 6561], 'lmfdb_iso': '117600.ch', 'lmfdb_label': '117600.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -513, -5103], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.24.0.bp.1', '20.12.0.l.1', '40.48.1.jp.1', '48.48.1.fr.1', '240.96.3.?', '560.96.1.?', '1680.192.3.?'], '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': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54741623485186953959020444940', 'prec': 107}, 'szpiro_ratio': 4.453631980318553, '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, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0], 'aplist': [0, -1, 0, 0, 0, 4, 0, -8, 4, -6, -8, 4, -6, 4, 4, 12, 0, 6, 12, 16, 0, 8, 12, 10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 117600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '117600.ch', 'trace_hash': 753365190256886741}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0095469942798558064116846165621', 'prec': 110}, 'conductor': 117600, 'gens': [], 'heights': [], 'lmfdb_label': '117600.ch2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22794126832862027631614462033', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8235301466289622105291569626690882273', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-933, 0, 1]], 'xcoord_integral_points': [-933]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '117600.ch2'}
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ec_torsion_growth • Show schema
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id: 5387831
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '117600.ch2', 'torsion': [2, 2]}
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id: 5387832
{'degree': 4, 'field': [-245, 0, 0, 0, 1], 'lmfdb_label': '117600.ch2', 'torsion': [4]}
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id: 5387835
{'degree': 8, 'field': [-180075, 0, -274400, 0, 1470, 0, 0, 0, 1], 'lmfdb_label': '117600.ch2', 'torsion': [6]}
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id: 5387834
{'degree': 8, 'field': [3721, 122, 2, -250, 131, -10, 8, -4, 1], 'lmfdb_label': '117600.ch2', 'torsion': [2, 4]}
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id: 5387833
{'degree': 8, 'field': [4356, 3696, 400, -296, 44, 24, 20, -4, 1], 'lmfdb_label': '117600.ch2', 'torsion': [2, 4]}
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id: 5387836
{'degree': 16, 'field': [279841, 0, 173512, 27692, 53792, 283728, 220404, 80956, 34210, 20304, 7472, 556, -248, 48, 12, -4, 1], 'lmfdb_label': '117600.ch2', 'torsion': [4, 4]}
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id: 5387837
{'degree': 16, 'field': [3920841, 2096184, -2368144, -4908176, -1648676, 341704, 38944, 22688, 39534, -5752, -16, 880, -468, -8, 0, 0, 1], 'lmfdb_label': '117600.ch2', 'torsion': [8]}
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id: 5387838
{'degree': 16, 'field': [849437976, 319980096, -294944056, -54519736, 37487072, -9853520, -515660, 2803840, -156507, -328392, 31464, 18184, -2606, -224, 52, -8, 1], 'lmfdb_label': '117600.ch2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2894420
{'conductor': 117600, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '117600.ch2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2894421
{'conductor': 117600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '117600.ch2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2894422
{'conductor': 117600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '117600.ch2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2894423
{'conductor': 117600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '117600.ch2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2432369
{'adelic_gens': [[1121, 1204, 644, 1457], [1051, 686, 826, 1107], [1, 16, 0, 1], [1665, 16, 1664, 17], [1439, 0, 0, 1679], [11, 16, 1616, 1587], [1476, 469, 707, 860], [9, 4, 1628, 1657], [1, 0, 16, 1], [1366, 469, 889, 722]], 'adelic_image': '1680.192.3.?', 'conductor': 117600, 'lmfdb_label': '117600.ch2', 'prime': 0}
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id: 463241
{'conductor': 117600, 'elladic_image': '8.24.0.131', 'lmfdb_label': '117600.ch2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 117600.ch does not appear in ec_padic