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ec_curvedata • Show schema
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{'Ciso': '141120nr', 'Clabel': '141120nr2', 'Cnumber': 2, 'abc_quality': 1.0096573935852708, 'absD': 56010528000000000, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 2520, 'ainvs': [0, 0, 0, 34692, -11111632], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 141120, 'degree': 1244160, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8945735115784696203230156714', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 200, 'isogeny_degrees': [1, 3], 'jinv': [161017136, 1953125], 'lmfdb_iso': '141120.hs', 'lmfdb_label': '141120.hs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 964, 51764], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.b.1', '20.2.0.a.1', '24.8.0-3.a.1.2', '60.8.0.a.1', '63.36.0.h.1', '72.24.0.?', '120.16.0.?', '180.24.0.?', '360.48.0.?', '504.72.0.?', '1260.72.2.?', '2520.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, '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': '-0.11204105976062585472982866991', 'prec': 107}, 'szpiro_ratio': 3.876927820886491, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 6, 0, -2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, -1, 0, 6, -2, 6, -8, -3, 3, 2, -8, 3, -5, 0, 12, 0, 1, 7, 0, -10, -4, 3, 3, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 141120, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '141120.hs', 'trace_hash': 915084546059653325}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.022614883598528840548026025111', 'prec': 107}, 'conductor': 141120, 'gens': [], 'heights': [], 'lmfdb_label': '141120.hs2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17345006747600848427450396133', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0814008097121018112940475359830664423', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '141120.hs2'}
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ec_torsion_growth • Show schema
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id: 6379394
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [3]}
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id: 6379395
{'degree': 3, 'field': [-13, 5, -1, 1], 'lmfdb_label': '141120.hs2', 'torsion': [2]}
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id: 6379398
{'degree': 6, 'field': [-8, 0, 17, 0, 4, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [6]}
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id: 6379397
{'degree': 6, 'field': [6, 0, -8, 0, 2, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [3]}
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id: 6379396
{'degree': 6, 'field': [20, 0, -4, 0, -3, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [2, 2]}
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id: 6379400
{'degree': 12, 'field': [36, 0, 48, 0, 52, 0, 28, 0, 12, 0, -2, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [3, 3]}
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id: 6379401
{'degree': 12, 'field': [64, 0, 192, 0, 1728, 0, -280, 0, 97, 0, -18, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [2, 6]}
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id: 6379399
{'degree': 12, 'field': [13138, -47716, 84730, -92488, 62110, -28112, 9310, -2196, 345, -54, 11, -2, 1], 'lmfdb_label': '141120.hs2', 'torsion': [4]}
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id: 6379402
{'degree': 18, 'field': [-8, 0, -288, 0, -1704, 0, 29448, 0, -37080, 0, 19992, 0, -5562, 0, 792, 0, -48, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [9]}
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id: 6379403
{'degree': 18, 'field': [1350, 0, -576, 0, -822, 0, -671, 0, 574, 0, 915, 0, 246, 0, -13, 0, -4, 0, 1], 'lmfdb_label': '141120.hs2', 'torsion': [6]}
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ec_localdata • Show schema
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id: 3486639
{'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '141120.hs2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3486640
{'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141120.hs2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 3486641
{'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '141120.hs2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3486642
{'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '141120.hs2', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 2580839
{'adelic_gens': [[2507, 2508, 1324, 1319], [1, 18, 0, 1], [1, 18, 12, 217], [631, 18, 639, 163], [10, 9, 81, 73], [1277, 2502, 1278, 2501], [1889, 2502, 0, 1609], [1, 0, 18, 1], [2503, 18, 2502, 19], [13, 12, 2456, 2461], [1259, 0, 0, 2519], [1763, 2502, 2007, 2357], [7, 18, 540, 463]], 'adelic_image': '2520.144.2.?', 'conductor': 141120, 'lmfdb_label': '141120.hs2', 'prime': 0}
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id: 544964
{'conductor': 141120, 'elladic_image': '9.12.0.2', 'lmfdb_label': '141120.hs2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 141120.hs does not appear in ec_padic