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ec_curvedata • Show schema
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{'Ciso': '75150r', 'Clabel': '75150r1', 'Cnumber': 1, 'abc_quality': 0.7991655470049831, 'absD': 11413406250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10020, 'ainvs': [1, -1, 0, -10242, 366916], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 167], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 75150, 'degree': 230400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2430755427526791538440549355', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [83453453, 8016], 'lmfdb_iso': '75150.m', 'lmfdb_label': '75150.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -46, -112], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '2004.6.0.?', '5010.6.0.?', '10020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6171097901846754250706397590', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51330903590695097280413718288', 'prec': 107}, 'szpiro_ratio': 3.5018766538748736, '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, -1, 0, 0, -2, 0, -6, 0, 0, 1, 4, 0, -8, 0], 'aplist': [-1, 0, 0, 0, -2, -6, 4, -8, 0, 6, 8, 2, -10, -4, -8, 4, 12, -10, 12, 16, 10, -10, -12, 10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 75150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '75150.m', 'trace_hash': 34676919367829753}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.083229694855973013523329588522', 'prec': 107}, 'conductor': 75150, 'gens': [[80, 194, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6171097901846754250706397590', 'prec': 100}], 'lmfdb_label': '75150.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.69721413286523956360668613432', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6493718659534750579250632281185782465', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[44, -22, 1]], 'xcoord_integral_points': [-81, 44, 80]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': 'a', '7': [3, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '167': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '75150.m1'}
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ec_torsion_growth • Show schema
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id: 3554757
{'degree': 2, 'field': [-626, -1, 1], 'lmfdb_label': '75150.m1', 'torsion': [2, 2]}
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id: 3554758
{'degree': 4, 'field': [681, 42, -46, -2, 1], 'lmfdb_label': '75150.m1', 'torsion': [4]}
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id: 3554761
{'degree': 8, 'field': [-97200, 0, -18900, 0, 1080, 0, 0, 0, 1], 'lmfdb_label': '75150.m1', 'torsion': [6]}
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id: 3554760
{'degree': 8, 'field': [80656, 0, 219704, 0, 9321, 0, 179, 0, 1], 'lmfdb_label': '75150.m1', 'torsion': [2, 4]}
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id: 3554759
{'degree': 8, 'field': [3326976, 0, -312192, 0, 13449, 0, -303, 0, 1], 'lmfdb_label': '75150.m1', 'torsion': [2, 4]}
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id: 3554762
{'degree': 16, 'field': [98724096, 0, 33371136, 0, 58584960, 0, -8545536, 0, 224304, 0, -14016, 0, 2200, 0, -64, 0, 1], 'lmfdb_label': '75150.m1', 'torsion': [8]}
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id: 3554763
{'degree': 16, 'field': [7615005696, 0, 290692800, 0, -90377712, 0, -18252000, 0, 3528144, 0, -156840, 0, -1368, 0, 0, 0, 1], 'lmfdb_label': '75150.m1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1825910
{'conductor': 75150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '75150.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1825911
{'conductor': 75150, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '75150.m1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1825912
{'conductor': 75150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '75150.m1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1825913
{'conductor': 75150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '75150.m1', 'prime': 167, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2160456
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [6682, 1, 6679, 0], [9362, 1, 5339, 0], [2008, 1, 2003, 0], [2509, 7516, 2504, 7515], [1, 0, 4, 1], [3, 4, 8, 11], [10017, 4, 10016, 5]], 'adelic_image': '10020.12.0.?', 'conductor': 75150, 'lmfdb_label': '75150.m1', 'prime': 0}
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id: 310680
{'conductor': 75150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '75150.m1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3863914
{'lmfdb_iso': '75150.m', 'p': 11, 'prec': 20, 'unit': 37447804440178879722, 'val': 1}
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id: 3863920
{'lmfdb_iso': '75150.m', 'p': 13, 'prec': 20, 'unit': 994244363982252471805, 'val': 1}
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id: 3863922
{'lmfdb_iso': '75150.m', 'p': 17, 'prec': 20, 'unit': 32421613733386718237284, 'val': 1}
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id: 3863923
{'lmfdb_iso': '75150.m', 'p': 19, 'prec': 20, 'unit': 1120940349970296595646432, 'val': 1}
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id: 3863919
{'lmfdb_iso': '75150.m', 'p': 29, 'prec': 20, 'unit': 2861153864408444679268782427, 'val': 1}
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id: 3863931
{'lmfdb_iso': '75150.m', 'p': 31, 'prec': 20, 'unit': 10481221349223146234241171119, 'val': 1}
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id: 3863915
{'lmfdb_iso': '75150.m', 'p': 37, 'prec': 20, 'unit': 528219583421966857603046251727, 'val': 1}
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id: 3863917
{'lmfdb_iso': '75150.m', 'p': 41, 'prec': 20, 'unit': 854662672134116630420770810201, 'val': 1}
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id: 3863918
{'lmfdb_iso': '75150.m', 'p': 43, 'prec': 20, 'unit': 5780729948737052416230632557520, 'val': 1}
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id: 3863929
{'lmfdb_iso': '75150.m', 'p': 47, 'prec': 20, 'unit': 3619700200540254073031206819131, 'val': 1}
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id: 3863924
{'lmfdb_iso': '75150.m', 'p': 53, 'prec': 20, 'unit': 217625041877223297054445685810747, 'val': 1}
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id: 3863925
{'lmfdb_iso': '75150.m', 'p': 59, 'prec': 20, 'unit': 3284937228826905316124680559422866, 'val': 1}
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id: 3863930
{'lmfdb_iso': '75150.m', 'p': 61, 'prec': 20, 'unit': 6004268221615163229365690196097104, 'val': 1}
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id: 3863913
{'lmfdb_iso': '75150.m', 'p': 67, 'prec': 20, 'unit': 17222999949004152632364493900913364, 'val': 1}
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id: 3863916
{'lmfdb_iso': '75150.m', 'p': 71, 'prec': 20, 'unit': 132876937815837085214534153757065858, 'val': 1}
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id: 3863926
{'lmfdb_iso': '75150.m', 'p': 73, 'prec': 20, 'unit': 41292980001939247367862252437635345, 'val': 1}
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id: 3863921
{'lmfdb_iso': '75150.m', 'p': 79, 'prec': 20, 'unit': 840938055229212724224174044671629202, 'val': 1}
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id: 3863927
{'lmfdb_iso': '75150.m', 'p': 83, 'prec': 20, 'unit': 1689582122437319806654816322227830223, 'val': 1}
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id: 3863928
{'lmfdb_iso': '75150.m', 'p': 89, 'prec': 20, 'unit': 6878268854645297707361950034651254222, 'val': 1}
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id: 3863912
{'lmfdb_iso': '75150.m', 'p': 97, 'prec': 20, 'unit': 30233736426990560753534189565395092485, 'val': 1}