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ec_curvedata • Show schema
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{'Ciso': '90601c', 'Clabel': '90601c2', 'Cnumber': 2, 'abc_quality': 1.1980441775334598, 'absD': 2168227525807, 'ainvs': [1, -1, 1, -68760, 6956660], 'analytic_rank': 1, 'bad_primes': [7, 43], 'class_deg': 14, 'class_size': 4, 'cm': -28, 'conductor': 90601, 'degree': 150528, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4280352590711314493207256077', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [16581375, 1], 'lmfdb_iso': '90601.a', 'lmfdb_label': '90601.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -37, -78], 'min_quad_twist_disc': -43, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0396302896059339102352010807', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93904233603947808869203383483', 'prec': 107}, 'szpiro_ratio': 3.944966864836275, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, 0, 0, 0, 3, -3, 0, 4, 0, 0, 0, 0, -1, 0, 3, 0, 0], 'aplist': [-1, 0, 0, 0, 4, 0, 0, 0, 8, -2, 0, 6, 0, 0, 0, -10, 0, 0, 4, -16, 0, 8, 0, 0, 0], 'class_deg': 14, 'class_size': 4, 'conductor': 90601, 'isogeny_matrix': [[1, 2, 7, 14], [2, 1, 14, 7], [7, 14, 1, 2], [14, 7, 2, 1]], 'lmfdb_iso': '90601.a', 'trace_hash': 2053466621638435706}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.057494239538169148098816243816', 'prec': 107}, 'conductor': 90601, 'gens': [[-243, 3166, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0396302896059339102352010807', 'prec': 100}], 'lmfdb_label': '90601.a3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78003963908707266414319365508', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9311113922364921752104479132169649658', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[603, -607, 2]], 'xcoord_integral_points': [-243]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'o?', '3': [1, 3, 0], '5': [1, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 1, 0], '19': [1, 1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 1, 0], '43': 'a', '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '90601.a3'}
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ec_torsion_growth • Show schema
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id: 4232713
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [2, 2]}
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id: 4232714
{'degree': 4, 'field': [3236, 150, -74, -1, 1], 'lmfdb_label': '90601.a3', 'torsion': [4]}
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id: 4232715
{'degree': 6, 'field': [-7699, -1618, 1618, 76, -76, -1, 1], 'lmfdb_label': '90601.a3', 'torsion': [14]}
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id: 4232720
{'degree': 8, 'field': [-1961651, 180868, -193115, 15013, -5306, 226, 1, -2, 1], 'lmfdb_label': '90601.a3', 'torsion': [6]}
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id: 4232717
{'degree': 8, 'field': [715716, -128592, 11552, -1844, 1693, -150, 2, -2, 1], 'lmfdb_label': '90601.a3', 'torsion': [2, 4]}
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id: 4232716
{'degree': 8, 'field': [715716, 0, -9860, 0, -1387, 0, -4, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [2, 4]}
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id: 4232718
{'degree': 8, 'field': [2617924, 0, -241007, 0, 8861, 0, -151, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [8]}
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id: 4232719
{'degree': 8, 'field': [2617924, 0, 241007, 0, 8861, 0, 151, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [8]}
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id: 4232721
{'degree': 12, 'field': [434281, 0, -553682, 0, 188505, 0, -28293, 0, 2104, 0, -75, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [2, 14]}
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id: 4232722
{'degree': 16, 'field': [358053837376, 0, -4741886272, 0, -2014112588, 0, 20456844, 0, 4806681, 0, -696, 0, -3674, 0, -4, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [4, 4]}
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id: 4232723
{'degree': 16, 'field': [429076660552, -797746952, 2887246212, -4184302444, 2109377490, -31782080, 29128288, -15930010, 4059773, -87150, 53114, -19542, 3348, -70, 30, -8, 1], 'lmfdb_label': '90601.a3', 'torsion': [2, 8]}
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id: 4232724
{'degree': 16, 'field': [1419126595441, 0, -299667561647, 0, 25446360276, 0, -1198435571, 0, 38115714, 0, -875271, 0, 14100, 0, -155, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [16]}
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id: 4232725
{'degree': 16, 'field': [1419126595441, 0, 299667561647, 0, 25446360276, 0, 1198435571, 0, 38115714, 0, 875271, 0, 14100, 0, 155, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [16]}
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id: 4232726
{'degree': 16, 'field': [3848074645801, -354799893068, -346110999441, 23972209106, 24169511735, -1423197405, -844077491, 11733172, 26191992, -662084, -299822, -5985, 5759, -454, 3, -2, 1], 'lmfdb_label': '90601.a3', 'torsion': [3, 6]}
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id: 4232727
{'degree': 16, 'field': [3857158521225, 0, -722506869378, 0, 52659427041, 0, -1768929687, 0, 19573788, 0, 358743, 0, -9708, 0, 0, 0, 1], 'lmfdb_label': '90601.a3', 'torsion': [2, 6]}
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id: 4232728
{'degree': 20, 'field': [3630887649840991, -672083314717592, 77081400011089, -18628531876150, 12413437421227, -184521007419, 6208445795, 6014764761, 5640015476, 720860311, 107622525, -5676267, 5469031, -138642, -86950, -17868, -536, 156, 0, -2, 1], 'lmfdb_label': '90601.a3', 'torsion': [22]}
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ec_localdata • Show schema
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id: 2215063
{'conductor': 90601, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '90601.a3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2215064
{'conductor': 90601, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '90601.a3', 'prime': 43, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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lmfdb_label 90601.a3 does not appear in ec_galrep
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ec_padic • Show schema
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id: 4690544
{'lmfdb_iso': '90601.a', 'p': 11, 'prec': 20, 'unit': 440084012311196789, 'val': 1}
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id: 4690547
{'lmfdb_iso': '90601.a', 'p': 23, 'prec': 20, 'unit': 795605864270716360400313, 'val': 2}
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id: 4690548
{'lmfdb_iso': '90601.a', 'p': 29, 'prec': 20, 'unit': 1683720137975760520817024449, 'val': 1}
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id: 4690542
{'lmfdb_iso': '90601.a', 'p': 37, 'prec': 20, 'unit': 507316067543687172381056636269, 'val': 1}
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id: 4690546
{'lmfdb_iso': '90601.a', 'p': 53, 'prec': 20, 'unit': 131551551493678955091664314646622, 'val': 1}
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id: 4690541
{'lmfdb_iso': '90601.a', 'p': 67, 'prec': 20, 'unit': 26508617548177008316287508795503644, 'val': 1}
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id: 4690543
{'lmfdb_iso': '90601.a', 'p': 71, 'prec': 20, 'unit': 4266151161057260053664093976636065, 'val': 1}
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id: 4690545
{'lmfdb_iso': '90601.a', 'p': 79, 'prec': 20, 'unit': 144709988208321720349129879956756764, 'val': 1}