Elliptic curve search results

Results (11 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
13260.g1	13260f1	13260.g	13260f	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$6.124099105$	$1$		$3$	$491520$	$2.680634$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.87444$	$[0, -1, 0, -2462065, -986601350]$	\(y^2=x^3-x^2-2462065x-986601350\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 136.12.0.?, $\ldots$	$[(-1275, 8845)]$
39780.j1	39780n1	39780.j	39780n	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{22} \cdot 5^{2} \cdot 13^{5} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$1$	$3932160$	$3.229939$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.88746$	$[0, 0, 0, -22158588, 26660395037]$	\(y^2=x^3-22158588x+26660395037\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$
53040.co1	53040cr1	53040.co	53040cr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13^{5} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$1966080$	$2.680634$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.12585$	$[0, 1, 0, -2462065, 986601350]$	\(y^2=x^3+x^2-2462065x+986601350\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 136.12.0.?, $\ldots$	$[ ]$
66300.bb1	66300bh1	66300.bb	66300bh	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 13^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$0.848801503$	$1$		$7$	$11796480$	$3.485352$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.89264$	$[0, 1, 0, -61551633, -123448272012]$	\(y^2=x^3+x^2-61551633x-123448272012\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[(14352, 1396278)]$
159120.o1	159120bi1	159120.o	159120bi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{22} \cdot 5^{2} \cdot 13^{5} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$15728640$	$3.229939$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.20603$	$[0, 0, 0, -22158588, -26660395037]$	\(y^2=x^3-22158588x-26660395037\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$
172380.d1	172380be1	172380.d	172380be	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13^{11} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$82575360$	$3.963108$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.90115$	$[0, -1, 0, -416089041, -2169227522034]$	\(y^2=x^3-x^2-416089041x-2169227522034\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 136.12.0.?, $\ldots$	$[ ]$
198900.x1	198900bj1	198900.x	198900bj	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{22} \cdot 5^{8} \cdot 13^{5} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$94371840$	$4.034660$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.90231$	$[0, 0, 0, -553964700, 3332549379625]$	\(y^2=x^3-553964700x+3332549379625\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$
212160.l1	212160dk1	212160.l	212160dk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{16} \cdot 5^{2} \cdot 13^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$2.076003043$	$1$		$5$	$15728640$	$3.027206$	$103157889656032577929216/33372791198022770325$	$1.03381$	$4.88557$	$[0, -1, 0, -9848261, 7902659061]$	\(y^2=x^3-x^2-9848261x+7902659061\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 136.12.0.?, $\ldots$	$[(580, 48841)]$
212160.fj1	212160fv1	212160.fj	212160fv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{16} \cdot 5^{2} \cdot 13^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$0.693642581$	$1$		$5$	$15728640$	$3.027206$	$103157889656032577929216/33372791198022770325$	$1.03381$	$4.88557$	$[0, 1, 0, -9848261, -7902659061]$	\(y^2=x^3+x^2-9848261x-7902659061\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 136.12.0.?, $\ldots$	$[(-1841, 63180)]$
225420.z1	225420n1	225420.z	225420n	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13^{5} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$520$	$48$	$0$	$3.070122080$	$1$		$7$	$141557760$	$4.097244$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.90330$	$[0, 1, 0, -711536881, -4851441653656]$	\(y^2=x^3+x^2-711536881x-4851441653656\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(29795, 632043)]$
265200.cw1	265200cw1	265200.cw	265200cw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 13^{5} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$47185920$	$3.485352$	$103157889656032577929216/33372791198022770325$	$1.03381$	$5.23851$	$[0, -1, 0, -61551633, 123448272012]$	\(y^2=x^3-x^2-61551633x+123448272012\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$

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