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ec_curvedata • Show schema
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{'Ciso': '3630c', 'Clabel': '3630c3', 'Cnumber': 3, 'abc_quality': 1.0649571940318452, 'absD': 92487940488281250000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -221781628, 1271089482832], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3630, 'degree': 1075200, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4550117874629358858236697856', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [680995599504466943307169, 52207031250000000], 'lmfdb_iso': '3630.a', 'lmfdb_label': '3630.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1832906, -955821481], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.1', '24.24.0-8.m.1.3', '88.24.0.?', '264.48.0.?'], '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, 'serre_invariants': [[2, 4, 363], [3, 4, 1210], [5, 6, 242], [7, 2, 1815], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2560641510637506137926979966', 'prec': 100}, 'szpiro_ratio': 8.450081304089718, '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, -1, 1, -4, -1, 1, 1, 0, -1, -2, 4, 1, 1, -2, -1, -4, -1], 'aplist': [-1, -1, -1, -4, 0, -2, -2, -4, -4, -6, 0, -10, 6, 12, -4, -6, -4, -10, -12, -4, -10, -4, -4, 10, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 3630, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '3630.a', 'trace_hash': 1373906721353943872}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00099773427469548528007910372966', 'prec': 113}, 'conductor': 3630, 'gens': [], 'heights': [], 'lmfdb_label': '3630.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10201281279648520202493480216', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.20402562559297040404986960431497366925', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[34619, -34619, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [0, 0], '5': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '3630.a1'}
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ec_torsion_growth • Show schema
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id: 189235
{'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 2]}
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id: 189237
{'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [4]}
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id: 189236
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [4]}
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id: 189238
{'degree': 4, 'field': [121, 0, -44, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 4]}
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id: 189242
{'degree': 8, 'field': [-363, 0, -1496, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [6]}
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id: 189241
{'degree': 8, 'field': [324, 0, 480, 0, 286, 0, 32, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [8]}
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id: 189240
{'degree': 8, 'field': [526, 250, -677, -230, 265, 46, -35, -2, 1], 'lmfdb_label': '3630.a1', 'torsion': [8]}
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id: 189239
{'degree': 8, 'field': [4356, 0, 0, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 4]}
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id: 189245
{'degree': 16, 'field': [81, 0, -468, 0, 268, 0, 1800, 0, 903, 0, -280, 0, 108, 0, 12, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 8]}
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id: 189247
{'degree': 16, 'field': [12544, 38080, 2232, -90360, 19044, -12504, -36320, 5344, 19404, -876, -9936, -552, 224, -28, 24, -8, 1], 'lmfdb_label': '3630.a1', 'torsion': [12]}
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id: 189244
{'degree': 16, 'field': [36100, 168720, 246648, 6648, -302288, -215064, 71112, 125604, 18309, -25356, -8262, 2100, 1042, -60, -54, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 8]}
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id: 189248
{'degree': 16, 'field': [9241600, 0, -15270272, 0, 3153280, 0, -992544, 0, 110832, 0, -11400, 0, 700, 0, -44, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [12]}
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id: 189243
{'degree': 16, 'field': [19562929, 0, -3308452, 0, -570890, 0, 81824, 0, 33415, 0, -280, 0, -254, 0, -4, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [4, 4]}
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id: 189246
{'degree': 16, 'field': [161798400, 0, -56564424, 0, 10119636, 0, -2213592, 0, 361920, 0, -28860, 0, 1132, 0, -38, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 66752
{'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '3630.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 66753
{'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '3630.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 66754
{'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '3630.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 66755
{'conductor': 3630, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3630.a1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1687540
{'adelic_gens': [[1, 8, 0, 1], [7, 6, 258, 259], [168, 41, 91, 78], [257, 8, 256, 9], [1, 0, 8, 1], [184, 3, 181, 2], [160, 261, 67, 262], [107, 100, 146, 237], [1, 4, 4, 17]], 'adelic_image': '264.48.0.?', 'conductor': 3630, 'lmfdb_label': '3630.a1', 'prime': 0}
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id: 18137
{'conductor': 3630, 'elladic_image': '8.12.0.11', 'lmfdb_label': '3630.a1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3630.a does not appear in ec_padic