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ec_curvedata • Show schema
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{'Ciso': '29008l', 'Clabel': '29008l1', 'Cnumber': 1, 'abc_quality': 0.8826782160855301, 'absD': 17829941248, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 27972, 'ainvs': [0, 1, 0, -2613, 50147], 'analytic_rank': 0, 'bad_primes': [2, 7, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 29008, 'degree': 18144, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78957152594319562558144826178', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3, 9], 'jinv': [4096000, 37], 'lmfdb_iso': '29008.l', 'lmfdb_label': '29008.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -3, 1], 'min_quad_twist_disc': 28, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '74.2.0.?', '84.8.0.?', '222.8.0.?', '252.24.0.?', '333.36.0.?', '666.72.3.?', '756.72.0.?', '999.324.16.?', '1998.648.43.?', '3108.16.0.?', '9324.144.3.?', '27972.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1813], [7, 26, 592], [37, 38, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023140', 'prec': 107}, 'szpiro_ratio': 3.4275063690346816, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, -2, 0, -3, 0, 4, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 1, 0, 0, -3, 4, -6, 2, -6, -6, -4, 1, 9, -8, 3, -3, 12, -8, 4, 15, -11, 10, 9, -6, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 29008, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '29008.l', 'trace_hash': 1559689409043989515}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.20615168382829250013236564993', 'prec': 103}, 'conductor': 29008, 'gens': [], 'heights': [], 'lmfdb_label': '29008.l3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2342674706636346653012487433', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2342674706636346653012487433106082768', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [0, 0, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [1, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '29008.l3'}
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ec_torsion_growth • Show schema
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id: 1452973
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '29008.l3', 'torsion': [3]}
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id: 1452974
{'degree': 3, 'field': [1, -3, -1, 1], 'lmfdb_label': '29008.l3', 'torsion': [2]}
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id: 1452978
{'degree': 6, 'field': [-54, -36, 84, 10, -22, -2, 1], 'lmfdb_label': '29008.l3', 'torsion': [6]}
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id: 1452975
{'degree': 6, 'field': [1, -5, 0, 9, -2, -3, 1], 'lmfdb_label': '29008.l3', 'torsion': [2, 2]}
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id: 1452977
{'degree': 6, 'field': [149, -464, 299, 30, -44, -2, 1], 'lmfdb_label': '29008.l3', 'torsion': [9]}
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id: 1452976
{'degree': 6, 'field': [16464, 0, 1225, 0, 7, 0, 1], 'lmfdb_label': '29008.l3', 'torsion': [3]}
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id: 1452979
{'degree': 12, 'field': [-405443, -483916, 56886, 131422, -19275, -12268, 4712, 328, -169, 92, -2, -2, 1], 'lmfdb_label': '29008.l3', 'torsion': [4]}
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id: 1452982
{'degree': 12, 'field': [1369, 2738, -15207, -592, 18540, 550, -6775, -490, 916, 64, -51, -2, 1], 'lmfdb_label': '29008.l3', 'torsion': [2, 6]}
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id: 1452981
{'degree': 12, 'field': [87277, 98996, -47940, -64980, 13966, 16626, -2374, -2304, 294, 178, -25, -6, 1], 'lmfdb_label': '29008.l3', 'torsion': [9]}
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id: 1452980
{'degree': 12, 'field': [89748, 36936, 17148, -101436, 34537, 17640, -3037, -2202, 264, 180, -25, -6, 1], 'lmfdb_label': '29008.l3', 'torsion': [3, 3]}
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id: 1452984
{'degree': 18, 'field': [2490797, -4639048, -7660379, 20429494, -4311125, -15047962, 7231654, 4510294, -2836022, -711726, 531363, 66644, -54337, -3900, 3061, 134, -88, -2, 1], 'lmfdb_label': '29008.l3', 'torsion': [18]}
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id: 1452983
{'degree': 18, 'field': [735559830805, -426089281216, 421723383638, -124527430866, 88231206926, -17912401454, 9854845663, -1577766936, 682998740, -89603848, 31157764, -3311428, 942607, -77232, 18294, -1030, 206, -6, 1], 'lmfdb_label': '29008.l3', 'torsion': [6]}
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ec_localdata • Show schema
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id: 673750
{'conductor': 29008, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '29008.l3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 673751
{'conductor': 29008, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '29008.l3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 673752
{'conductor': 29008, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '29008.l3', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1857911
{'adelic_gens': [[16241, 5271, 973, 9304], [6047, 7938, 6048, 7937], [1, 54, 0, 1], [17599, 4032, 25151, 25495], [28, 27, 729, 703], [27919, 54, 27918, 55], [7991, 0, 0, 27971], [13985, 0, 0, 27971], [1, 0, 54, 1], [31, 36, 22150, 21211]], 'adelic_image': '27972.1296.43.?', 'conductor': 29008, 'lmfdb_label': '29008.l3', 'prime': 0}
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id: 130989
{'conductor': 29008, 'elladic_image': '27.36.0.1', 'lmfdb_label': '29008.l3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 29008.l does not appear in ec_padic
