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ec_curvedata • Show schema
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{'Ciso': '2880i', 'Clabel': '2880i1', 'Cnumber': 1, 'abc_quality': 0.9562146657916117, 'absD': 3732480, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, -48, -88], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2880, 'degree': 384, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.034070360901492470767787401385', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384, 5], 'lmfdb_iso': '2880.m', 'lmfdb_label': '2880.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1, 0], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0.f.1', '20.24.0.e.1', '24.96.0-24.bq.1.13', '30.24.0.a.1', '60.96.3.bk.1', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 2, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1609991557021684076464367877', 'prec': 103}, 'szpiro_ratio': 2.9159592211485417, '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, -1, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, -1, 2, 0, -2, 6, 4, -6, 6, -4, -2, -6, 10, 6, -6, 12, -2, -2, 12, 2, 8, 6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 2880, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2880.m', 'trace_hash': 2256027514269234409}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.0705159428133550291945740325', 'prec': 100}, 'conductor': 2880, 'gens': [], 'heights': [], 'lmfdb_label': '2880.m3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.8568481094818643867421960369', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8568481094818643867421960369217180534', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-2, 0, 1]], 'xcoord_integral_points': [-2]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '2880.m3'}
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ec_torsion_growth • Show schema
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id: 149326
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '2880.m3', 'torsion': [2, 2]}
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id: 149327
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [6]}
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id: 149328
{'degree': 4, 'field': [45, 0, -12, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [4]}
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id: 149329
{'degree': 4, 'field': [55, -10, 11, -2, 1], 'lmfdb_label': '2880.m3', 'torsion': [2, 6]}
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id: 149330
{'degree': 6, 'field': [-2, 0, 12, 0, 6, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [6]}
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id: 149333
{'degree': 8, 'field': [58, 128, 88, 12, -8, -8, -6, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [12]}
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id: 149332
{'degree': 8, 'field': [81, 0, -108, 0, -126, 0, -12, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [2, 4]}
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id: 149331
{'degree': 8, 'field': [81, 0, 0, 0, 27, 0, 0, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [2, 4]}
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id: 149335
{'degree': 12, 'field': [4, 0, -8, 0, 0, 0, 20, 0, 0, 0, -8, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [2, 6]}
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id: 149334
{'degree': 12, 'field': [4, 0, 24, 0, 156, 0, -76, 0, 24, 0, -6, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [3, 6]}
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id: 149338
{'degree': 16, 'field': [1, 76, 2122, -6360, 9258, -10940, 10950, -9036, 6511, -4184, 2434, -1204, 504, -168, 44, -8, 1], 'lmfdb_label': '2880.m3', 'torsion': [2, 12]}
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id: 149337
{'degree': 16, 'field': [100, 0, -400, 0, 1620, 120, 80, -960, -6, -24, 224, 0, 2, -24, 0, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [8]}
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id: 149339
{'degree': 16, 'field': [961, -4588, 8852, -9264, 6232, -3464, 2358, -292, 575, 64, 394, -264, 158, -64, 30, -8, 1], 'lmfdb_label': '2880.m3', 'torsion': [2, 12]}
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id: 149336
{'degree': 16, 'field': [6561, 0, 0, 0, -2916, 0, 0, 0, 486, 0, 0, 0, 9, 0, 0, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [4, 4]}
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id: 149340
{'degree': 18, 'field': [216, 0, 864, 0, -216, 0, 72, 0, -144, 0, 36, 0, 54, 0, 24, 0, 12, 0, 1], 'lmfdb_label': '2880.m3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 51171
{'conductor': 2880, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2880.m3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 51172
{'conductor': 2880, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2880.m3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 51173
{'conductor': 2880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2880.m3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1682789
{'adelic_gens': [[1, 12, 12, 25], [97, 24, 96, 25], [105, 22, 2, 83], [112, 21, 75, 106], [1, 0, 24, 1], [39, 116, 20, 39], [21, 4, 20, 101], [59, 96, 48, 71], [1, 24, 0, 1], [7, 24, 12, 7]], 'adelic_image': '120.384.9.?', 'conductor': 2880, 'lmfdb_label': '2880.m3', 'prime': 0}
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id: 14461
{'conductor': 2880, 'elladic_image': '4.6.0.3', 'lmfdb_label': '2880.m3', 'modell_image': '2B', 'prime': 2}
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id: 14462
{'conductor': 2880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2880.m3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 2880.m does not appear in ec_padic
