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ec_curvedata • Show schema
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{'Ciso': '157470b', 'Clabel': '157470b2', 'Cnumber': 2, 'abc_quality': 1.0188207367571196, 'absD': 26347975509292698179843819760, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 1102290, 'ainvs': [1, 0, 0, 716932820, -2529437472640], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 29, 181], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 157470, 'degree': 149976064, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1423370561691370875777142594', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 7], 'jinv': [40752954391814893896906735593279, 26347975509292698179843819760], 'lmfdb_iso': '157470.z', 'lmfdb_label': '157470.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 716932820, -2529437472640], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '157470.2.0.?', '1102290.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '29.194957027745277695554986936', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 78735], [3, 4, 52490], [5, 6, 31494], [7, 2, 30], [29, 30, 5430], [181, 182, 870]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.1423370561691370875777142594', 'prec': 100}, 'szpiro_ratio': 6.082154296932616, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 0, 1, 1, 1, -3, 1, -1, 1], 'aplist': [1, 1, 1, 1, 5, 0, -3, -1, -4, 1, 4, -11, 0, -12, -1, -2, -10, -1, -16, 9, -3, 10, 0, 6, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 157470, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '157470.z', 'trace_hash': 1475828487475465814}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00025235490392475393499186668026', 'prec': 113}, 'conductor': 157470, 'gens': [[1158838663018, 3121051868274312526, 17017]], 'heights': [{'__RealLiteral__': 0, 'data': '29.194957027745277695554986936', 'prec': 100}], 'lmfdb_label': '157470.z2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.021503845263994876191964712723', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '17.578507475581198076462456726996817158', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 157470.z2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7054021
{'degree': 3, 'field': [-324, 3, 0, 1], 'lmfdb_label': '157470.z2', 'torsion': [2]}
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id: 7054023
{'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '157470.z2', 'torsion': [7]}
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id: 7054022
{'degree': 6, 'field': [254424, 41790, 18721, 964, 6, -2, 1], 'lmfdb_label': '157470.z2', 'torsion': [2, 2]}
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id: 7054024
{'degree': 7, 'field': [-30, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '157470.z2', 'torsion': [7]}
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id: 7054025
{'degree': 8, 'field': [-55488, 0, 66428, 0, -816, 0, 0, 0, 1], 'lmfdb_label': '157470.z2', 'torsion': [3]}
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id: 7054026
{'degree': 12, 'field': [-58152960000, 76287744000, -28870238400, -3882261600, 365862980, 67436540, -9059639, -1157084, -28853, -2668, -73, -4, 1], 'lmfdb_label': '157470.z2', 'torsion': [4]}
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id: 7054027
{'degree': 18, 'field': [1156831381426176, -10711401679872, 99179645184, -3571385556672, 66128266512, -918408780, 11031298713, 408199176, -945027, -34038468, -944703, 11664, 104949, 1944, 9, -324, -3, 0, 1], 'lmfdb_label': '157470.z2', 'torsion': [14]}
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id: 7054028
{'degree': 21, 'field': [-374806423239554574, 24293782425706416, -647042556248046, 8108854969694472, -449969373535374, 11228678522208, -75107387510946, 3472200615087, -60913514214, 386285674383, -14287865130, 200655063, -1191655710, 33070275, -306090, 2205441, -40824, 189, -2268, 21, 0, 1], 'lmfdb_label': '157470.z2', 'torsion': [14]}
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ec_localdata • Show schema
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id: 3895629
{'conductor': 157470, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '157470.z2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 3895630
{'conductor': 157470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '157470.z2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3895631
{'conductor': 157470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '157470.z2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3895632
{'conductor': 157470, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '157470.z2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 3895633
{'conductor': 157470, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '157470.z2', 'prime': 181, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2683463
{'adelic_gens': [[367438, 7, 367423, 1102284], [1102277, 14, 1102276, 15], [456128, 7, 152033, 1102284], [8, 5, 91, 57], [3, 944828, 1102276, 314903], [1, 14, 0, 1], [1, 0, 14, 1], [688178, 7, 913493, 1102284], [220466, 7, 220451, 1102284]], 'adelic_image': '1102290.96.2.?', 'conductor': 157470, 'lmfdb_label': '157470.z2', 'prime': 0}
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id: 601065
{'conductor': 157470, 'elladic_image': '7.48.0.5', 'lmfdb_label': '157470.z2', 'modell_image': '7B.1.3', 'prime': 7}
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lmfdb_iso 157470.z does not appear in ec_padic
