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ec_curvedata • Show schema
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{'Ciso': '2880i', 'Clabel': '2880i4', 'Cnumber': 4, 'abc_quality': 0.9589363178944194, 'absD': 186624000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, -1308, 27632], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2880, 'degree': 2304, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86180937371253502963845127781', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-20720464, 15625], 'lmfdb_iso': '2880.m', 'lmfdb_label': '2880.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -140], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0-12.d.1.7', '20.12.0.d.1', '24.96.0-24.bh.2.8', '40.24.0.bc.1', '60.96.1-60.h.1.8', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49616848127478934371260881569', 'prec': 107}, 'szpiro_ratio': 4.265446079800686, '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': '0.17841932380222583819909567209', 'prec': 103}, 'conductor': 2880, 'gens': [], 'heights': [], 'lmfdb_label': '2880.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.92842405474093219337109801846', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8568481094818643867421960369217180534', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-44, 0, 1]], 'xcoord_integral_points': [-44]}
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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.m2'}
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ec_torsion_growth • Show schema
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id: 149372
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [6]}
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id: 149371
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [2, 2]}
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id: 149373
{'degree': 4, 'field': [-36, 0, -6, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [4]}
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id: 149374
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [2, 6]}
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id: 149375
{'degree': 6, 'field': [6, 0, 12, 0, 6, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [6]}
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id: 149378
{'degree': 8, 'field': [25, 0, -30, 0, 14, 0, -6, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [12]}
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id: 149376
{'degree': 8, 'field': [25, 0, -20, 0, 11, 0, -4, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [2, 4]}
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id: 149377
{'degree': 8, 'field': [81, 0, 0, 0, 27, 0, 0, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [2, 4]}
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id: 149379
{'degree': 12, 'field': [4, 0, 24, 0, 60, 0, 44, 0, 0, 0, -6, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [3, 6]}
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id: 149380
{'degree': 12, 'field': [9, 0, 0, 0, 27, 0, 0, 0, 3, 0, 0, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [2, 6]}
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id: 149382
{'degree': 16, 'field': [-59, 276, -628, 236, -592, 2296, -324, -2152, 1833, -224, -536, 400, -122, 12, 8, -4, 1], 'lmfdb_label': '2880.m2', 'torsion': [8]}
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id: 149383
{'degree': 16, 'field': [1, -4, 6, -16, 44, -56, 60, -88, 83, -52, 36, -12, -4, 0, 2, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [2, 12]}
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id: 149381
{'degree': 16, 'field': [1, 0, 0, 0, -3, 0, 0, 0, 8, 0, 0, 0, -3, 0, 0, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [4, 4]}
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id: 149384
{'degree': 16, 'field': [1, 8, 38, 156, 472, 928, 1224, 1208, 939, 524, 216, 76, -8, -12, 2, -4, 1], 'lmfdb_label': '2880.m2', 'torsion': [2, 12]}
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id: 149385
{'degree': 18, 'field': [-72, 0, 432, 0, 1440, 0, 552, 0, -1728, 0, 1644, 0, -554, 0, 180, 0, -24, 0, 1], 'lmfdb_label': '2880.m2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 51180
{'conductor': 2880, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '2880.m2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 51181
{'conductor': 2880, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2880.m2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 51182
{'conductor': 2880, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2880.m2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1682788
{'adelic_gens': [[97, 24, 96, 25], [1, 0, 24, 1], [13, 24, 12, 13], [15, 16, 74, 95], [59, 96, 114, 95], [117, 10, 44, 101], [111, 4, 23, 53], [1, 24, 0, 1], [79, 96, 20, 119]], 'adelic_image': '120.384.9.?', 'conductor': 2880, 'lmfdb_label': '2880.m2', 'prime': 0}
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id: 14459
{'conductor': 2880, 'elladic_image': '4.6.0.5', 'lmfdb_label': '2880.m2', 'modell_image': '2B', 'prime': 2}
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id: 14460
{'conductor': 2880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2880.m2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 2880.m does not appear in ec_padic