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ec_curvedata • Show schema
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{'Ciso': '304200dh', 'Clabel': '304200dh1', 'Cnumber': 1, 'abc_quality': 0.8738745964123275, 'absD': 3087697650277500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 3181425, -1541744750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 304200, 'degree': 12386304, 'elladic_images': ['8.12.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8110092836513080861855554172', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 85, 'isogeny_degrees': [1, 2, 4], 'jinv': [253012016, 219375], 'lmfdb_iso': '304200.dh', 'lmfdb_label': '304200.dh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 84, 180], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.6', '60.12.0-4.c.1.2', '78.6.0.?', '120.24.0.?', '156.12.0.?', '260.12.0.?', '312.24.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9183300374280118470055231457', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28758861600386218778401200296', 'prec': 107}, 'szpiro_ratio': 4.4776355822528195, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 0, 0, 4, 0, -2, 4, 4, 6, 4, 6, -2, -12, -8, 14, 12, -2, 0, 8, -2, 8, -12, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 304200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '304200.dh', 'trace_hash': 547943962417326753}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0036173319064799007311715936201', 'prec': 110}, 'conductor': 304200, 'gens': [[22585, 4026950, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '7.9183300374280118470055231457', 'prec': 100}], 'lmfdb_label': '304200.dh4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.078299570662913748079374118520', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9200294767658732354613172878210349037', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[455, 0, 1]], 'xcoord_integral_points': [455]}
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lmfdb_label 304200.dh4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12858632
{'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '304200.dh4', 'torsion': [4]}
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id: 12858633
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '304200.dh4', 'torsion': [4]}
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id: 12858631
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '304200.dh4', 'torsion': [2, 2]}
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id: 12858634
{'degree': 4, 'field': [40, 25, -1, -1, 1], 'lmfdb_label': '304200.dh4', 'torsion': [2, 4]}
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id: 12858638
{'degree': 8, 'field': [-12675, 0, -3640, 0, -390, 0, 0, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [6]}
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id: 12858636
{'degree': 8, 'field': [-2016, 6336, 864, -2304, -462, -12, -6, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [8]}
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id: 12858635
{'degree': 8, 'field': [165, -180, 696, 318, 169, 34, 24, -2, 1], 'lmfdb_label': '304200.dh4', 'torsion': [2, 4]}
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id: 12858637
{'degree': 8, 'field': [232206, 127764, 66586, 9464, -221, -364, -52, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [8]}
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id: 12858643
{'degree': 16, 'field': [2304, 0, -338688, 0, -120800, 0, -5376, 0, -9075, 0, -3864, 0, -342, 0, 0, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [12]}
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id: 12858639
{'degree': 16, 'field': [19600, 0, 225920, 0, 433276, 0, 68432, 0, 21049, 0, 3536, 0, 394, 0, 32, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [4, 4]}
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id: 12858640
{'degree': 16, 'field': [25600, 0, 162560, 0, 401104, 0, 88592, 0, 1801, 0, -4678, 0, 10, 0, 26, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [2, 8]}
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id: 12858644
{'degree': 16, 'field': [114244, 0, -184548, 0, 111540, 0, -4056, 0, 4225, 0, -624, 0, 78, 0, 0, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [12]}
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id: 12858642
{'degree': 16, 'field': [1529280, 4631040, 6948864, 4051584, 273408, -1199424, 526048, -41888, -38208, 17984, 8, -1416, 548, -112, 36, -8, 1], 'lmfdb_label': '304200.dh4', 'torsion': [2, 6]}
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id: 12858641
{'degree': 16, 'field': [66161956, 0, -11956196, 0, 1182869, 0, -410436, 0, 3971, 0, 11076, 0, 179, 0, -44, 0, 1], 'lmfdb_label': '304200.dh4', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 7534273
{'conductor': 304200, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '304200.dh4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7534274
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '304200.dh4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7534275
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '304200.dh4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 7534276
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '304200.dh4', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3576037
{'adelic_gens': [[203, 198, 1370, 587], [1, 0, 8, 1], [1, 8, 0, 1], [712, 1557, 835, 1558], [1, 4, 4, 17], [1553, 8, 1552, 9], [593, 588, 590, 1367], [7, 6, 1554, 1555], [1036, 1559, 497, 1554], [623, 1552, 932, 1527]], 'adelic_image': '1560.48.0.?', 'conductor': 304200, 'lmfdb_label': '304200.dh4', 'prime': 0}
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id: 1070836
{'conductor': 304200, 'elladic_image': '8.12.0.13', 'lmfdb_label': '304200.dh4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 304200.dh does not appear in ec_padic