Elliptic curve search results

Results (27 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
790.a1	790a2	790.a	790a	$2$	$2$	\( 2 \cdot 5 \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1580$	$12$	$0$	$0.437917516$	$1$		$6$	$256$	$0.155716$	$8490912541201/499280$	$0.91378$	$4.46191$	$[1, 0, 0, -425, 3337]$	\(y^2+xy=x^3-425x+3337\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-8, 83)]$
3950.e1	3950c2	3950.e	3950c	$2$	$2$	\( 2 \cdot 5^{2} \cdot 79 \)	\( 2^{4} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$0.749548918$	$1$		$4$	$6144$	$0.960435$	$8490912541201/499280$	$0.91378$	$4.76083$	$[1, 1, 0, -10625, 417125]$	\(y^2+xy=x^3+x^2-10625x+417125\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(70, 115)]$
6320.i1	6320i2	6320.i	6320i	$2$	$2$	\( 2^{4} \cdot 5 \cdot 79 \)	\( 2^{16} \cdot 5 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$4$	$2$	$1$	$6144$	$0.848864$	$8490912541201/499280$	$0.91378$	$4.35216$	$[0, -1, 0, -6800, -213568]$	\(y^2=x^3-x^2-6800x-213568\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
7110.e1	7110g2	7110.e	7110g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$0$	$6144$	$0.705022$	$8490912541201/499280$	$0.91378$	$4.09974$	$[1, -1, 0, -3825, -90099]$	\(y^2+xy=x^3-x^2-3825x-90099\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
25280.c1	25280v2	25280.c	25280v	$2$	$2$	\( 2^{6} \cdot 5 \cdot 79 \)	\( 2^{22} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$7.209545072$	$1$		$3$	$49152$	$1.195436$	$8490912541201/499280$	$0.91378$	$4.16725$	$[0, 1, 0, -27201, -1735745]$	\(y^2=x^3+x^2-27201x-1735745\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(2609, 133016)]$
25280.v1	25280e2	25280.v	25280e	$2$	$2$	\( 2^{6} \cdot 5 \cdot 79 \)	\( 2^{22} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$6.869586810$	$1$		$1$	$49152$	$1.195436$	$8490912541201/499280$	$0.91378$	$4.16725$	$[0, -1, 0, -27201, 1735745]$	\(y^2=x^3-x^2-27201x+1735745\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(2299/3, 91124/3)]$
31600.d1	31600u2	31600.d	31600u	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 79 \)	\( 2^{16} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1.900536896$	$1$		$3$	$147456$	$1.653582$	$8490912541201/499280$	$0.91378$	$4.60813$	$[0, 1, 0, -170008, -27036012]$	\(y^2=x^3+x^2-170008x-27036012\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(3318, 189600)]$
35550.bx1	35550bq2	35550.bx	35550bq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$4.500445620$	$1$		$2$	$147456$	$1.509741$	$8490912541201/499280$	$0.91378$	$4.39161$	$[1, -1, 1, -95630, -11358003]$	\(y^2+xy+y=x^3-x^2-95630x-11358003\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(579, 10985)]$
38710.bk1	38710bc2	38710.bk	38710bc	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 7^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$7.203529541$	$1$		$0$	$92160$	$1.128672$	$8490912541201/499280$	$0.91378$	$3.92333$	$[1, 1, 1, -20826, -1165417]$	\(y^2+xy+y=x^3+x^2-20826x-1165417\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(1507/3, 5231/3)]$
56880.s1	56880bf2	56880.s	56880bf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$147456$	$1.398169$	$8490912541201/499280$	$0.91378$	$4.08080$	$[0, 0, 0, -61203, 5827538]$	\(y^2=x^3-61203x+5827538\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
62410.e1	62410e2	62410.e	62410e	$2$	$2$	\( 2 \cdot 5 \cdot 79^{2} \)	\( 2^{4} \cdot 5 \cdot 79^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$16$	$2$	$0$	$1597440$	$2.340439$	$8490912541201/499280$	$0.91378$	$5.07058$	$[1, 1, 1, -2652555, -1663838743]$	\(y^2+xy+y=x^3+x^2-2652555x-1663838743\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
95590.b1	95590k2	95590.b	95590k	$2$	$2$	\( 2 \cdot 5 \cdot 11^{2} \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 11^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$0$	$327680$	$1.354664$	$8490912541201/499280$	$0.91378$	$3.85055$	$[1, 0, 1, -51428, -4492974]$	\(y^2+xy+y=x^3-51428x-4492974\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
126400.l1	126400m2	126400.l	126400m	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( 2^{22} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$7.125462277$	$1$		$3$	$1179648$	$2.000156$	$8490912541201/499280$	$0.91378$	$4.41835$	$[0, 1, 0, -680033, 215608063]$	\(y^2=x^3+x^2-680033x+215608063\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(12573, 1406900)]$
126400.cl1	126400cg2	126400.cl	126400cg	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( 2^{22} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$27.20582290$	$1$		$1$	$1179648$	$2.000156$	$8490912541201/499280$	$0.91378$	$4.41835$	$[0, -1, 0, -680033, -215608063]$	\(y^2=x^3-x^2-680033x-215608063\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(4376576231383/67377, 1495685584314042200/67377)]$
133510.a1	133510f2	133510.a	133510f	$2$	$2$	\( 2 \cdot 5 \cdot 13^{2} \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 13^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$2.046267156$	$1$		$4$	$589824$	$1.438190$	$8490912541201/499280$	$0.91378$	$3.82647$	$[1, 0, 1, -71829, 7403216]$	\(y^2+xy+y=x^3-71829x+7403216\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(196, 831)]$
193550.c1	193550cc2	193550.c	193550cc	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 79 \)	\( 2^{4} \cdot 5^{7} \cdot 7^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$0$	$2211840$	$1.933390$	$8490912541201/499280$	$0.91378$	$4.19789$	$[1, 0, 1, -520651, -144635802]$	\(y^2+xy+y=x^3-520651x-144635802\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
227520.di1	227520cz2	227520.di	227520cz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{22} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$13.96427710$	$1$		$1$	$1179648$	$1.744743$	$8490912541201/499280$	$0.91378$	$3.95933$	$[0, 0, 0, -244812, -46620304]$	\(y^2=x^3-244812x-46620304\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(1577800/51, 703106164/51)]$
227520.ez1	227520v2	227520.ez	227520v	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{22} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$8.855651271$	$1$		$1$	$1179648$	$1.744743$	$8490912541201/499280$	$0.91378$	$3.95933$	$[0, 0, 0, -244812, 46620304]$	\(y^2=x^3-244812x+46620304\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(21660/7, 1707376/7)]$
228310.s1	228310j2	228310.s	228310j	$2$	$2$	\( 2 \cdot 5 \cdot 17^{2} \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 17^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$7.566104401$	$1$		$0$	$1261568$	$1.572323$	$8490912541201/499280$	$0.91378$	$3.79053$	$[1, 1, 1, -122831, 16517509]$	\(y^2+xy+y=x^3+x^2-122831x+16517509\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(16501/9, -50408/9)]$
284400.bn1	284400bn2	284400.bn	284400bn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{7} \cdot 79^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$4.584155126$	$1$		$11$	$3538944$	$2.202888$	$8490912541201/499280$	$0.91378$	$4.32676$	$[0, 0, 0, -1530075, 728442250]$	\(y^2=x^3-1530075x+728442250\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(701, 576), (-1315, 21600)]$
285190.g1	285190g2	285190.g	285190g	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 19^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$0$	$1769472$	$1.627935$	$8490912541201/499280$	$0.91378$	$3.77653$	$[1, 1, 0, -153432, -23195344]$	\(y^2+xy=x^3+x^2-153432x-23195344\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
309680.m1	309680m2	309680.m	309680m	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( 2^{16} \cdot 5 \cdot 7^{6} \cdot 79^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$5.019585869$	$1$		$11$	$2211840$	$1.821819$	$8490912541201/499280$	$0.91378$	$3.93594$	$[0, 1, 0, -333216, 73920244]$	\(y^2=x^3+x^2-333216x+73920244\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(410, 2528), (452, 3982)]$
312050.b1	312050b2	312050.b	312050b	$2$	$2$	\( 2 \cdot 5^{2} \cdot 79^{2} \)	\( 2^{4} \cdot 5^{7} \cdot 79^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$12.72730143$	$1$		$10$	$38338560$	$3.145161$	$8490912541201/499280$	$0.91378$	$5.18882$	$[1, 0, 1, -66313876, -207847215102]$	\(y^2+xy+y=x^3-66313876x-207847215102\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-4694, -774), (-1362807/17, -2148797/17)]$
348390.cl1	348390cl2	348390.cl	348390cl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$0$	$2211840$	$1.677977$	$8490912541201/499280$	$0.91378$	$3.76435$	$[1, -1, 0, -187434, 31278820]$	\(y^2+xy=x^3-x^2-187434x+31278820\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
417910.i1	417910i2	417910.i	417910i	$2$	$2$	\( 2 \cdot 5 \cdot 23^{2} \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 23^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$4$	$2$	$0$	$3244032$	$1.723463$	$8490912541201/499280$	$0.91378$	$3.75360$	$[1, 0, 0, -224836, -41050944]$	\(y^2+xy=x^3-224836x-41050944\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
477950.dg1	477950dg2	477950.dg	477950dg	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \)	\( 2^{4} \cdot 5^{7} \cdot 11^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$0$	$7864320$	$2.159382$	$8490912541201/499280$	$0.91378$	$4.11508$	$[1, 1, 1, -1285688, -561621719]$	\(y^2+xy+y=x^3+x^2-1285688x-561621719\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
499280.f1	499280f2	499280.f	499280f	$2$	$2$	\( 2^{4} \cdot 5 \cdot 79^{2} \)	\( 2^{16} \cdot 5 \cdot 79^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$4$	$2$	$1$	$38338560$	$3.033588$	$8490912541201/499280$	$0.91378$	$4.90091$	$[0, 1, 0, -42440880, 106400797780]$	\(y^2=x^3+x^2-42440880x+106400797780\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$

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