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ec_curvedata • Show schema
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{'Ciso': '1200j', 'Clabel': '1200j5', 'Cnumber': 5, 'abc_quality': 1.038972011651739, 'absD': 10497600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, -1, 0, -54008, 4846512], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 1200, 'degree': 3072, 'elladic_images': ['8.96.0.27'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4421621549741243639826313516', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '1200.e', 'lmfdb_label': '1200.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.96.0-8.k.1.8', '20.48.0-20.c.1.4', '40.192.1-40.cc.2.8', '48.192.1-48.e.2.15', '80.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 400], [5, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436470', 'prec': 110}, 'szpiro_ratio': 6.248773456593644, '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, -1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, 0, 4, 2, -2, -4, 0, -2, 0, 10, 10, 4, 8, 10, 4, -2, 12, 8, -10, 0, 12, -6, -2], 'class_deg': 16, 'class_size': 8, 'conductor': 1200, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '1200.e', 'trace_hash': 1497722826863384425}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.055892542815438227544168569553', 'prec': 107}, 'conductor': 1200, 'gens': [], 'heights': [], 'lmfdb_label': '1200.e2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.71386122344839743930710261581', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4277224468967948786142052316113670190', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[132, 0, 1], [137, 0, 1]], 'xcoord_integral_points': [-268, 132, 137]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a'}, 'iwp0': 3, 'lmfdb_label': '1200.e2'}
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ec_torsion_growth • Show schema
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id: 59305
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 4]}
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id: 59306
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 4]}
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id: 59307
{'degree': 4, 'field': [1, 0, 3, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [4, 4]}
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id: 59308
{'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 8]}
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id: 59312
{'degree': 8, 'field': [-75, 0, -395, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 6]}
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id: 59310
{'degree': 8, 'field': [1, 0, 0, 0, 7, 0, 0, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [4, 8]}
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id: 59309
{'degree': 8, 'field': [1, 2, 2, -10, 11, -10, 8, -4, 1], 'lmfdb_label': '1200.e2', 'torsion': [4, 8]}
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id: 59311
{'degree': 8, 'field': [36, 0, -56, 0, 16, 0, 4, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [4, 8]}
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id: 59313
{'degree': 16, 'field': [1, 0, 0, 0, -36, 0, 0, 0, 646, 0, 0, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [8, 8]}
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id: 59316
{'degree': 16, 'field': [9, 0, 63, 0, 175, 0, 126, 0, -105, 0, -126, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 12]}
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id: 59315
{'degree': 16, 'field': [625, 0, -10000, 0, 39500, 0, -42000, 0, 19775, 0, -4800, 0, 620, 0, -40, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 16]}
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id: 59317
{'degree': 16, 'field': [625, 0, 1000, 0, 400, 0, 1875, 0, 600, 0, 165, 0, 25, 0, 10, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 12]}
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id: 59314
{'degree': 16, 'field': [10000, 0, -20000, 0, 29000, 0, -18000, 0, 8000, 0, -1800, 0, 290, 0, -20, 0, 1], 'lmfdb_label': '1200.e2', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 17583
{'conductor': 1200, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '1200.e2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 17584
{'conductor': 1200, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1200.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 17585
{'conductor': 1200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '1200.e2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1672092
{'adelic_gens': [[179, 232, 70, 43], [1, 0, 16, 1], [1, 16, 0, 1], [161, 8, 0, 1], [1, 16, 4, 65], [1, 16, 0, 181], [225, 16, 224, 17], [231, 232, 62, 25]], 'adelic_image': '240.768.13.?', 'conductor': 1200, 'lmfdb_label': '1200.e2', 'prime': 0}
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id: 5705
{'conductor': 1200, 'elladic_image': '8.96.0.27', 'lmfdb_label': '1200.e2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 1200.e does not appear in ec_padic