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ec_curvedata • Show schema
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{'Ciso': '37440ex', 'Clabel': '37440ex6', 'Cnumber': 6, 'abc_quality': 1.0123408415397925, 'absD': 113542041600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -4680012, -3896860016], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 37440, 'degree': 786432, 'elladic_images': ['8.48.0.74'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4318703926886340420890516134', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 109, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [59319456301170001, 594140625], 'lmfdb_iso': '37440.ef', 'lmfdb_label': '37440.ef2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8125, -282568], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.i.1.6', '24.96.0-24.bb.1.12', '80.96.0.?', '104.96.0.?', '156.24.0.?', '208.192.2.?', '240.192.1.?', '312.192.1.?', '624.384.5.?', '1040.384.5.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081275', 'prec': 103}, 'szpiro_ratio': 5.478378472137242, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, 0, -4, -1, -2, -4, 8, -2, 8, -6, 6, -4, -8, 6, 12, 2, -4, 0, -6, -16, 4, -10, 18], 'class_deg': 16, 'class_size': 8, 'conductor': 37440, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '37440.ef', 'trace_hash': 910776053993092804}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0077215451548768137008642107581', 'prec': 110}, 'conductor': 37440, 'gens': [], 'heights': [], 'lmfdb_label': '37440.ef2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10264506498604135172014564209', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6423210397766616275223302734229700324', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-1246, 0, 1], [2498, 0, 1]], 'xcoord_integral_points': [-1252, -1246, 2498]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '37440.ef2'}
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ec_torsion_growth • Show schema
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id: 1853234
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 4]}
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id: 1853237
{'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 8]}
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id: 1853236
{'degree': 4, 'field': [25, 0, -16, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 4]}
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id: 1853238
{'degree': 4, 'field': [64, 0, -10, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 8]}
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id: 1853235
{'degree': 4, 'field': [64, 0, 10, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 4]}
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id: 1853240
{'degree': 8, 'field': [-3888, 0, -2328, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 6]}
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id: 1853239
{'degree': 8, 'field': [256, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [4, 8]}
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id: 1853242
{'degree': 16, 'field': [144, 0, -10224, 0, 15564, 0, -8868, 0, 3217, 0, -1064, 0, 198, 0, -20, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 8]}
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id: 1853241
{'degree': 16, 'field': [10000, 0, 5800, 0, 1264, 0, 1618, 0, 457, 0, -158, 0, -17, 0, -2, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 8]}
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id: 1853246
{'degree': 16, 'field': [408321, 0, 5047062, 0, 2005021, 0, 435444, 0, 86706, 0, 12386, 0, 996, 0, 48, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 12]}
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id: 1853243
{'degree': 16, 'field': [1623025, 1419200, -1191940, -538920, 491996, -298712, 150340, -39120, 3421, 5640, -2624, 920, -214, 0, 20, -8, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 16]}
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id: 1853245
{'degree': 16, 'field': [38925121, 0, 360474640, 0, 415962636, 0, 130215760, 0, 15492966, 0, 829360, 0, 20876, 0, 240, 0, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 16]}
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id: 1853244
{'degree': 16, 'field': [271988512240, 49660331520, -44832604016, -9370724576, 3984876478, 809126256, -218163572, -42433248, 8460967, 1372904, -216932, -30176, 3998, 448, -44, -8, 1], 'lmfdb_label': '37440.ef2', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 884202
{'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '37440.ef2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 884203
{'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '37440.ef2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 884204
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '37440.ef2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 884205
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.ef2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1914228
{'adelic_gens': [[13, 8, 2330, 3077], [1, 16, 0, 1], [1039, 3104, 3114, 3023], [3111, 3112, 62, 1225], [3119, 3104, 0, 779], [1, 16, 4, 65], [1, 0, 16, 1], [633, 8, 2452, 3081], [3105, 16, 3104, 17]], 'adelic_image': '3120.768.13.?', 'conductor': 37440, 'lmfdb_label': '37440.ef2', 'prime': 0}
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id: 165496
{'conductor': 37440, 'elladic_image': '8.48.0.74', 'lmfdb_label': '37440.ef2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 37440.ef does not appear in ec_padic