Elliptic curve search results

Results (12 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
10626.t3	10626t1	10626.t	10626t	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$42504$	$48$	$0$	$1$	$1$		$1$	$3456$	$0.149193$	$254478514753/21762048$	$0.84509$	$2.83274$	$[1, 0, 0, -132, 528]$	\(y^2+xy=x^3-132x+528\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
31878.i3	31878m1	31878.i	31878m	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3^{7} \cdot 7 \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$42504$	$48$	$0$	$2.003285416$	$1$		$7$	$27648$	$0.698499$	$254478514753/21762048$	$0.84509$	$3.16829$	$[1, -1, 0, -1188, -14256]$	\(y^2+xy=x^3-x^2-1188x-14256\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 44.12.0-4.c.1.2, 264.24.0.?, $\ldots$	$[(-15, 3)]$
74382.w3	74382bj1	74382.w	74382bj	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3 \cdot 7^{7} \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$42504$	$48$	$0$	$2.119741879$	$1$		$5$	$165888$	$1.122149$	$254478514753/21762048$	$0.84509$	$3.38219$	$[1, 1, 1, -6469, -187573]$	\(y^2+xy+y=x^3+x^2-6469x-187573\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 92.12.0.?, 264.12.0.?, $\ldots$	$[(-41, 124)]$
85008.ba3	85008bb1	85008.ba	85008bb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{24} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$42504$	$48$	$0$	$1$	$4$	$2$	$1$	$82944$	$0.842340$	$254478514753/21762048$	$0.84509$	$3.04658$	$[0, -1, 0, -2112, -33792]$	\(y^2=x^3-x^2-2112x-33792\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
116886.w3	116886p1	116886.w	116886p	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{12} \cdot 3 \cdot 7 \cdot 11^{7} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$42504$	$48$	$0$	$1$	$4$	$2$	$1$	$414720$	$1.348141$	$254478514753/21762048$	$0.84509$	$3.48359$	$[1, 0, 1, -15975, -718742]$	\(y^2+xy+y=x^3-15975x-718742\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$	$[]$
223146.bu3	223146dx1	223146.bu	223146dx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3^{7} \cdot 7^{7} \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$42504$	$48$	$0$	$7.001422449$	$1$		$1$	$1327104$	$1.671453$	$254478514753/21762048$	$0.84509$	$3.61571$	$[1, -1, 0, -58221, 5006245]$	\(y^2+xy=x^3-x^2-58221x+5006245\)	2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 264.12.0.?, 276.12.0.?, $\ldots$	$[(8346/5, 574591/5)]$
244398.bi3	244398bi1	244398.bi	244398bi	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( 2^{12} \cdot 3 \cdot 7 \cdot 11 \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$42504$	$48$	$0$	$1$	$1$		$1$	$1824768$	$1.716940$	$254478514753/21762048$	$0.84509$	$3.63320$	$[1, 0, 0, -69839, -6563847]$	\(y^2+xy=x^3-69839x-6563847\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 184.12.0.?, 264.12.0.?, $\ldots$	$[]$
255024.bd3	255024bd1	255024.bd	255024bd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{24} \cdot 3^{7} \cdot 7 \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$42504$	$48$	$0$	$4.721550976$	$1$		$3$	$663552$	$1.391645$	$254478514753/21762048$	$0.84509$	$3.30722$	$[0, 0, 0, -19011, 931394]$	\(y^2=x^3-19011x+931394\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 44.12.0-4.c.1.1, 264.24.0.?, $\ldots$	$[(322, 5310)]$
265650.bd3	265650bd1	265650.bd	265650bd	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 11 \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$212520$	$48$	$0$	$9.670503754$	$1$		$9$	$442368$	$0.953912$	$254478514753/21762048$	$0.84509$	$2.87584$	$[1, 1, 0, -3300, 66000]$	\(y^2+xy=x^3+x^2-3300x+66000\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 264.12.0.?, 660.12.0.?, $\ldots$	$[(65, 330), (41, 21)]$
340032.p3	340032p1	340032.p	340032p	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{30} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$42504$	$48$	$0$	$6.357936009$	$1$		$1$	$663552$	$1.188913$	$254478514753/21762048$	$0.84509$	$3.04151$	$[0, -1, 0, -8449, 278785]$	\(y^2=x^3-x^2-8449x+278785\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 264.24.0.?, 1288.24.0.?, $\ldots$	$[(549/2, 10387/2)]$
340032.dy3	340032dy1	340032.dy	340032dy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{30} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$42504$	$48$	$0$	$1$	$4$	$2$	$1$	$663552$	$1.188913$	$254478514753/21762048$	$0.84509$	$3.04151$	$[0, 1, 0, -8449, -278785]$	\(y^2=x^3+x^2-8449x-278785\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 264.24.0.?, 1288.24.0.?, $\ldots$	$[]$
350658.cp3	350658cp1	350658.cp	350658cp	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{12} \cdot 3^{7} \cdot 7 \cdot 11^{7} \cdot 23 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$42504$	$48$	$0$	$1$	$1$		$3$	$3317760$	$1.897446$	$254478514753/21762048$	$0.84509$	$3.70012$	$[1, -1, 1, -143771, 19406027]$	\(y^2+xy+y=x^3-x^2-143771x+19406027\)	2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 1288.24.0.?, 10626.6.0.?, $\ldots$	$[]$