Elliptic curve search results

Results (14 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
2290.a2	2290a2	2290.a	2290a	$2$	$2$	\( 2 \cdot 5 \cdot 229 \)	\( - 2^{4} \cdot 5^{2} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.37	2B	$9160$	$48$	$0$	$0.732923436$	$1$		$6$	$736$	$0.092711$	$25698491351/20976400$	$0.85719$	$3.09834$	$[1, 0, 1, 61, -114]$	\(y^2+xy+y=x^3+61x-114\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 4580.12.0.?, 9160.48.0.?	$[(3, 8)]$
11450.i2	11450f2	11450.i	11450f	$2$	$2$	\( 2 \cdot 5^{2} \cdot 229 \)	\( - 2^{4} \cdot 5^{8} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$9160$	$48$	$0$	$1$	$1$		$0$	$17664$	$0.897429$	$25698491351/20976400$	$0.85719$	$3.59804$	$[1, 1, 1, 1537, -14219]$	\(y^2+xy+y=x^3+x^2+1537x-14219\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 1832.12.0.?, 4580.12.0.?, $\ldots$	$[ ]$
18320.e2	18320d2	18320.e	18320d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 229 \)	\( - 2^{16} \cdot 5^{2} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$9160$	$48$	$0$	$1$	$1$		$1$	$17664$	$0.785858$	$25698491351/20976400$	$0.85719$	$3.28935$	$[0, -1, 0, 984, 7280]$	\(y^2=x^3-x^2+984x+7280\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 4580.12.0.?, 9160.48.0.?	$[ ]$
20610.e2	20610d2	20610.e	20610d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 229 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$27480$	$48$	$0$	$1$	$1$		$0$	$17664$	$0.642017$	$25698491351/20976400$	$0.85719$	$3.07659$	$[1, -1, 1, 553, 3071]$	\(y^2+xy+y=x^3-x^2+553x+3071\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4580.12.0.?, 9160.24.0.?, $\ldots$	$[ ]$
73280.d2	73280r2	73280.d	73280r	$2$	$2$	\( 2^{6} \cdot 5 \cdot 229 \)	\( - 2^{22} \cdot 5^{2} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$9160$	$48$	$0$	$1$	$1$		$1$	$141312$	$1.132431$	$25698491351/20976400$	$0.85719$	$3.25354$	$[0, 1, 0, 3935, 62175]$	\(y^2=x^3+x^2+3935x+62175\)	2.3.0.a.1, 4.12.0-4.a.1.1, 4580.24.0.?, 9160.48.0.?	$[ ]$
73280.p2	73280g2	73280.p	73280g	$2$	$2$	\( 2^{6} \cdot 5 \cdot 229 \)	\( - 2^{22} \cdot 5^{2} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$9160$	$48$	$0$	$6.891649265$	$1$		$1$	$141312$	$1.132431$	$25698491351/20976400$	$0.85719$	$3.25354$	$[0, -1, 0, 3935, -62175]$	\(y^2=x^3-x^2+3935x-62175\)	2.3.0.a.1, 4.12.0-4.a.1.1, 4580.24.0.?, 9160.48.0.?	$[(34945/3, 6532480/3)]$
91600.f2	91600q2	91600.f	91600q	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 229 \)	\( - 2^{16} \cdot 5^{8} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$9160$	$48$	$0$	$1$	$1$		$1$	$423936$	$1.590576$	$25698491351/20976400$	$0.85719$	$3.67120$	$[0, 1, 0, 24592, 959188]$	\(y^2=x^3+x^2+24592x+959188\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 1832.12.0.?, 4580.12.0.?, $\ldots$	$[ ]$
103050.b2	103050f2	103050.b	103050f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 229 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 229^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$27480$	$48$	$0$	$2.594597710$	$1$		$12$	$423936$	$1.446735$	$25698491351/20976400$	$0.85719$	$3.48420$	$[1, -1, 0, 13833, 397741]$	\(y^2+xy=x^3-x^2+13833x+397741\)	2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 4580.12.0.?, 5496.12.0.?, $\ldots$	$[(30, 901), (74, 1313)]$
112210.l2	112210l2	112210.l	112210l	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 229 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$64120$	$48$	$0$	$1$	$1$		$0$	$211968$	$1.065666$	$25698491351/20976400$	$0.85719$	$3.06543$	$[1, 1, 0, 3013, 42029]$	\(y^2+xy=x^3+x^2+3013x+42029\)	2.3.0.a.1, 4.6.0.a.1, 56.12.0-4.a.1.1, 4580.12.0.?, 9160.24.0.?, $\ldots$	$[ ]$
164880.t2	164880a2	164880.t	164880a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 229 \)	\( - 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$27480$	$48$	$0$	$1$	$1$		$1$	$423936$	$1.335165$	$25698491351/20976400$	$0.85719$	$3.23643$	$[0, 0, 0, 8853, -205414]$	\(y^2=x^3+8853x-205414\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4580.12.0.?, 9160.24.0.?, $\ldots$	$[ ]$
277090.o2	277090o2	277090.o	277090o	$2$	$2$	\( 2 \cdot 5 \cdot 11^{2} \cdot 229 \)	\( - 2^{4} \cdot 5^{2} \cdot 11^{6} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$100760$	$48$	$0$	$1.546379807$	$1$		$4$	$1059840$	$1.291658$	$25698491351/20976400$	$0.85719$	$3.06071$	$[1, 0, 0, 7439, 158841]$	\(y^2+xy=x^3+7439x+158841\)	2.3.0.a.1, 4.6.0.a.1, 88.12.0.?, 4580.12.0.?, 9160.24.0.?, $\ldots$	$[(10, 479)]$
366400.i2	366400i2	366400.i	366400i	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 229 \)	\( - 2^{22} \cdot 5^{8} \cdot 229^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$9160$	$48$	$0$	$1$	$1$		$1$	$3391488$	$1.937151$	$25698491351/20976400$	$0.85719$	$3.59857$	$[0, 1, 0, 98367, -7575137]$	\(y^2=x^3+x^2+98367x-7575137\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 916.12.0.?, 4580.24.0.?, $\ldots$	$[ ]$
366400.cg2	366400cg2	366400.cg	366400cg	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 229 \)	\( - 2^{22} \cdot 5^{8} \cdot 229^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$9160$	$48$	$0$	$18.67655891$	$1$		$1$	$3391488$	$1.937151$	$25698491351/20976400$	$0.85719$	$3.59857$	$[0, -1, 0, 98367, 7575137]$	\(y^2=x^3-x^2+98367x+7575137\)	2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 916.12.0.?, 4580.24.0.?, $\ldots$	$[(950938312/1491, 37462259535625/1491)]$
387010.x2	387010x2	387010.x	387010x	$2$	$2$	\( 2 \cdot 5 \cdot 13^{2} \cdot 229 \)	\( - 2^{4} \cdot 5^{2} \cdot 13^{6} \cdot 229^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$119080$	$48$	$0$	$2.769111815$	$1$		$8$	$1695744$	$1.375185$	$25698491351/20976400$	$0.85719$	$3.05913$	$[1, 0, 0, 10390, -260300]$	\(y^2+xy=x^3+10390x-260300\)	2.3.0.a.1, 4.6.0.a.1, 104.12.0.?, 4580.12.0.?, 9160.24.0.?, $\ldots$	$[(170, 2450), (66, 812)]$

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