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ec_curvedata • Show schema
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{'Ciso': '230115w', 'Clabel': '230115w4', 'Cnumber': 4, 'abc_quality': 0.9110458711531342, 'absD': 108367575614082315, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26680, 'ainvs': [1, 1, 0, -2929348, -1930921703], 'analytic_rank': 1, 'bad_primes': [3, 5, 23, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 230115, 'degree': 4055040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3530596428428102737216806138', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [18778886261717401, 732035835], 'lmfdb_iso': '230115.w', 'lmfdb_label': '230115.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5537, 156294], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '92.12.0.?', '232.12.0.?', '460.24.0.?', '1160.24.0.?', '5336.24.0.?', '26680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2605446359960255332823888687', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78531253487823542831830419789', 'prec': 103}, 'szpiro_ratio': 4.558800429952432, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, -1, -1, -1, 0, -3, 1, -1, -4, 1, -2, 0, 1, -1, 6, 1, -4, 1], 'aplist': [1, -1, -1, 0, -4, -2, 6, -4, 0, 1, 4, 2, -6, 0, 0, 10, 12, 6, -4, 0, -10, -8, -12, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 230115, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '230115.w', 'trace_hash': 1943824268195856473}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0090397904452164450108300661636', 'prec': 110}, 'conductor': 230115, 'gens': [[94888, 29177161, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2605446359960255332823888687', 'prec': 100}], 'lmfdb_label': '230115.w1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11540053153495730568773417972', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8565571772584787628227360681647743371', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-3973, 3973, 2]], 'xcoord_integral_points': [94888]}
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lmfdb_label 230115.w1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9978685
{'degree': 2, 'field': [-115, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [2, 2]}
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id: 9978686
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [4]}
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id: 9978687
{'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '230115.w1', 'torsion': [4]}
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id: 9978688
{'degree': 4, 'field': [6, -22, 23, -2, 1], 'lmfdb_label': '230115.w1', 'torsion': [2, 4]}
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id: 9978692
{'degree': 8, 'field': [-7529981, -1923175, -599312, -94327, -12155, -1252, -20, -4, 1], 'lmfdb_label': '230115.w1', 'torsion': [6]}
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id: 9978689
{'degree': 8, 'field': [1063981, 16564, -18628, 4132, -2075, 8, 2, -4, 1], 'lmfdb_label': '230115.w1', 'torsion': [2, 4]}
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id: 9978691
{'degree': 8, 'field': [2158092, 152028, -145494, -12948, 6175, 356, -114, -4, 1], 'lmfdb_label': '230115.w1', 'torsion': [8]}
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id: 9978690
{'degree': 8, 'field': [314530225, 0, -8070200, 0, 83870, 0, -440, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [8]}
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id: 9978695
{'degree': 16, 'field': [1908029761, 0, -700503168, 0, 328927810, 0, -66675168, 0, 7215459, 0, -425952, 0, 13510, 0, -192, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [2, 8]}
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id: 9978698
{'degree': 16, 'field': [2980072539, 39083634, -25792668, -37585458, 46636479, -34379100, 13157082, -1627824, 623632, -145646, 31030, -1952, 1114, -392, 76, -8, 1], 'lmfdb_label': '230115.w1', 'torsion': [12]}
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id: 9978697
{'degree': 16, 'field': [10717425625, 0, -13628294375, 0, 8835510100, 0, -64109075, 0, -16698425, 0, -162680, 0, 8830, 0, 280, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [12]}
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id: 9978693
{'degree': 16, 'field': [1132055568361, 0, 39914042232, 0, -4205403662, 0, -64223676, 0, 6425475, 0, 12564, 0, -4082, 0, 12, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [4, 4]}
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id: 9978696
{'degree': 16, 'field': [217983816275625, 0, 8734133599875, 0, 3919636917225, 0, -41917354200, 0, -73264500, 0, -1984770, 0, 26920, 0, -275, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [2, 6]}
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id: 9978694
{'degree': 16, 'field': [118765133436326976, 0, -5773933548725472, 0, 127502463457588, 0, -1684571126364, 0, 14682570665, 0, -87111264, 0, 346418, 0, -852, 0, 1], 'lmfdb_label': '230115.w1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 5706351
{'conductor': 230115, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '230115.w1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5706352
{'conductor': 230115, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '230115.w1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5706353
{'conductor': 230115, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '230115.w1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 5706354
{'conductor': 230115, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '230115.w1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3130794
{'adelic_gens': [[26673, 8, 26672, 9], [16561, 8, 12884, 33], [1, 0, 8, 1], [3339, 3338, 10018, 23355], [1, 8, 0, 1], [10008, 23353, 10033, 10080], [1, 4, 4, 17], [3476, 26679, 26657, 26674], [21348, 1, 16031, 6], [7, 6, 26674, 26675]], 'adelic_image': '26680.48.0.?', 'conductor': 230115, 'lmfdb_label': '230115.w1', 'prime': 0}
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id: 839117
{'conductor': 230115, 'elladic_image': '4.6.0.1', 'lmfdb_label': '230115.w1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 230115.w does not appear in ec_padic