Elliptic curves over $\Q$ of conductor 1792

Results (16 matches)

 

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
1792.a1	1792h2	1792.a	1792h	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.24	2B	$112$	$48$	$1$	$0.664285160$	$1$		$7$	$768$	$0.224939$	$489303872/49$	$0.95485$	$4.05892$	$[0, 1, 0, -525, 4459]$	\(y^2=x^3+x^2-525x+4459\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.1, 56.24.1.l.1, $\ldots$	$[(14, 7)]$
1792.a2	1792h1	1792.a	1792h	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.23	2B	$112$	$48$	$1$	$0.332142580$	$1$		$9$	$384$	$-0.121634$	$9528128/2401$	$0.91404$	$2.97795$	$[0, 1, 0, -35, 49]$	\(y^2=x^3+x^2-35x+49\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.4, 56.24.1.l.1, $\ldots$	$[(0, 7)]$
1792.b1	1792g2	1792.b	1792g	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$0.858226396$	$1$		$7$	$256$	$-0.119644$	$85184/49$	$1.17246$	$2.90342$	$[0, 1, 0, -29, -5]$	\(y^2=x^3+x^2-29x-5\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1	$[(-3, 8)]$
1792.b2	1792g1	1792.b	1792g	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$56$	$12$	$0$	$1.716452793$	$1$		$3$	$128$	$-0.466218$	$1560896/7$	$0.90907$	$2.73646$	$[0, 1, 0, -19, -39]$	\(y^2=x^3+x^2-19x-39\)	2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1	$[(5, 4)]$
1792.c1	1792b2	1792.c	1792b	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$56$	$12$	$0$	$1.474030631$	$1$		$5$	$256$	$-0.119644$	$1560896/7$	$0.90907$	$3.29164$	$[0, 1, 0, -77, 235]$	\(y^2=x^3+x^2-77x+235\)	2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1	$[(6, 5)]$
1792.c2	1792b1	1792.c	1792b	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$0.737015315$	$1$		$5$	$128$	$-0.466218$	$85184/49$	$1.17246$	$2.34824$	$[0, 1, 0, -7, -3]$	\(y^2=x^3+x^2-7x-3\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1	$[(4, 7)]$
1792.d1	1792f2	1792.d	1792f	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.24	2B	$112$	$48$	$1$	$1$	$1$		$1$	$768$	$0.224939$	$9528128/2401$	$0.91404$	$3.53313$	$[0, 1, 0, -141, -533]$	\(y^2=x^3+x^2-141x-533\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.1, 56.24.1.l.1, $\ldots$	$[]$
1792.d2	1792f1	1792.d	1792f	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.23	2B	$112$	$48$	$1$	$1$	$1$		$1$	$384$	$-0.121634$	$489303872/49$	$0.95485$	$3.50374$	$[0, 1, 0, -131, -623]$	\(y^2=x^3+x^2-131x-623\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.4, 56.24.1.l.1, $\ldots$	$[]$
1792.e1	1792a2	1792.e	1792a	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.23	2B	$112$	$48$	$1$	$3.235547096$	$1$		$3$	$768$	$0.224939$	$489303872/49$	$0.95485$	$4.05892$	$[0, -1, 0, -525, -4459]$	\(y^2=x^3-x^2-525x-4459\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.4, 56.24.1.l.1, $\ldots$	$[(59, 408)]$
1792.e2	1792a1	1792.e	1792a	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.24	2B	$112$	$48$	$1$	$1.617773548$	$1$		$3$	$384$	$-0.121634$	$9528128/2401$	$0.91404$	$2.97795$	$[0, -1, 0, -35, -49]$	\(y^2=x^3-x^2-35x-49\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.1, 56.24.1.l.1, $\ldots$	$[(-2, 3)]$
1792.f1	1792e2	1792.f	1792e	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$256$	$-0.119644$	$85184/49$	$1.17246$	$2.90342$	$[0, -1, 0, -29, 5]$	\(y^2=x^3-x^2-29x+5\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1	$[]$
1792.f2	1792e1	1792.f	1792e	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$56$	$12$	$0$	$1$	$1$		$1$	$128$	$-0.466218$	$1560896/7$	$0.90907$	$2.73646$	$[0, -1, 0, -19, 39]$	\(y^2=x^3-x^2-19x+39\)	2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1	$[]$
1792.g1	1792c2	1792.g	1792c	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$56$	$12$	$0$	$1$	$4$	$2$	$1$	$256$	$-0.119644$	$1560896/7$	$0.90907$	$3.29164$	$[0, -1, 0, -77, -235]$	\(y^2=x^3-x^2-77x-235\)	2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1	$[]$
1792.g2	1792c1	1792.g	1792c	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$128$	$-0.466218$	$85184/49$	$1.17246$	$2.34824$	$[0, -1, 0, -7, 3]$	\(y^2=x^3-x^2-7x+3\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1	$[]$
1792.h1	1792d2	1792.h	1792d	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{15} \cdot 7^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.23	2B	$112$	$48$	$1$	$1$	$1$		$1$	$768$	$0.224939$	$9528128/2401$	$0.91404$	$3.53313$	$[0, -1, 0, -141, 533]$	\(y^2=x^3-x^2-141x+533\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.4, 56.24.1.l.1, $\ldots$	$[]$
1792.h2	1792d1	1792.h	1792d	$2$	$2$	\( 2^{8} \cdot 7 \)	\( 2^{9} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.24	2B	$112$	$48$	$1$	$1$	$1$		$1$	$384$	$-0.121634$	$489303872/49$	$0.95485$	$3.50374$	$[0, -1, 0, -131, 623]$	\(y^2=x^3-x^2-131x+623\)	2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 16.24.0-8.i.1.1, 56.24.1.l.1, $\ldots$	$[]$