Elliptic curve search results

Results (29 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
2280.i3	2280e1	2280.i	2280e	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$760$	$48$	$0$	$1$	$1$		$3$	$1280$	$0.407694$	$115060504576/52780005$	$0.96155$	$3.65256$	$[0, 1, 0, -255, 630]$	\(y^2=x^3+x^2-255x+630\)	2.3.0.a.1, 4.12.0-4.c.1.1, 10.6.0.a.1, 20.24.0-20.g.1.2, 152.24.0.?, $\ldots$	$[]$
4560.l3	4560c1	4560.l	4560c	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$760$	$48$	$0$	$1$	$1$		$1$	$2560$	$0.407694$	$115060504576/52780005$	$0.96155$	$3.35205$	$[0, -1, 0, -255, -630]$	\(y^2=x^3-x^2-255x-630\)	2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 152.24.0.?, $\ldots$	$[]$
6840.p3	6840t1	6840.p	6840t	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$10240$	$0.957001$	$115060504576/52780005$	$0.96155$	$3.94460$	$[0, 0, 0, -2298, -19307]$	\(y^2=x^3-2298x-19307\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.2, 20.12.0.g.1, $\ldots$	$[]$
11400.a3	11400bb1	11400.a	11400bb	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$760$	$48$	$0$	$1.151272635$	$1$		$11$	$30720$	$1.212414$	$115060504576/52780005$	$0.96155$	$4.05700$	$[0, -1, 0, -6383, 91512]$	\(y^2=x^3-x^2-6383x+91512\)	2.3.0.a.1, 4.12.0-4.c.1.1, 10.6.0.a.1, 20.24.0-20.g.1.2, 152.24.0.?, $\ldots$	$[(-4, 342)]$
13680.c3	13680k1	13680.c	13680k	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$20480$	$0.957001$	$115060504576/52780005$	$0.96155$	$3.65751$	$[0, 0, 0, -2298, 19307]$	\(y^2=x^3-2298x+19307\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$	$[]$
18240.s3	18240e1	18240.s	18240e	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$760$	$48$	$0$	$2.353292833$	$1$		$3$	$20480$	$0.754268$	$115060504576/52780005$	$0.96155$	$3.30231$	$[0, -1, 0, -1021, 6061]$	\(y^2=x^3-x^2-1021x+6061\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(4, 45)]$
18240.bn3	18240co1	18240.bn	18240co	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19 \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 19^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$760$	$48$	$0$	$1.026690528$	$1$		$15$	$20480$	$0.754268$	$115060504576/52780005$	$0.96155$	$3.30231$	$[0, 1, 0, -1021, -6061]$	\(y^2=x^3+x^2-1021x-6061\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(-10, 57), (35, 48)]$
22800.ds3	22800ba1	22800.ds	22800ba	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$760$	$48$	$0$	$1$	$1$		$1$	$61440$	$1.212414$	$115060504576/52780005$	$0.96155$	$3.77676$	$[0, 1, 0, -6383, -91512]$	\(y^2=x^3+x^2-6383x-91512\)	2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 152.24.0.?, $\ldots$	$[]$
34200.j3	34200bg1	34200.j	34200bg	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{7} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1.774847420$	$1$		$7$	$245760$	$1.761719$	$115060504576/52780005$	$0.96155$	$4.26147$	$[0, 0, 0, -57450, -2413375]$	\(y^2=x^3-57450x-2413375\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.2, 20.12.0.g.1, $\ldots$	$[(-44, 171)]$
43320.s3	43320z1	43320.s	43320z	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$760$	$48$	$0$	$1$	$1$		$1$	$460800$	$1.879913$	$115060504576/52780005$	$0.96155$	$4.29996$	$[0, -1, 0, -92175, -4873968]$	\(y^2=x^3-x^2-92175x-4873968\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[]$
54720.cv3	54720fd1	54720.cv	54720fd	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$2.689916962$	$1$		$5$	$163840$	$1.303574$	$115060504576/52780005$	$0.96155$	$3.57396$	$[0, 0, 0, -9192, 154456]$	\(y^2=x^3-9192x+154456\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.1, $\ldots$	$[(105, 589)]$
54720.es3	54720by1	54720.es	54720by	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \)	\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$7.596791158$	$1$		$1$	$163840$	$1.303574$	$115060504576/52780005$	$0.96155$	$3.57396$	$[0, 0, 0, -9192, -154456]$	\(y^2=x^3-9192x-154456\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.2, $\ldots$	$[(-1535/8, 116991/8)]$
68400.ft3	68400br1	68400.ft	68400br	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{7} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$491520$	$1.761719$	$115060504576/52780005$	$0.96155$	$3.99615$	$[0, 0, 0, -57450, 2413375]$	\(y^2=x^3-57450x+2413375\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$	$[]$
86640.dh3	86640bj1	86640.dh	86640bj	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$760$	$48$	$0$	$1$	$1$		$1$	$921600$	$1.879913$	$115060504576/52780005$	$0.96155$	$4.03781$	$[0, 1, 0, -92175, 4873968]$	\(y^2=x^3+x^2-92175x+4873968\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[]$
91200.eg3	91200gi1	91200.eg	91200gi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$760$	$48$	$0$	$2.204808146$	$1$		$5$	$491520$	$1.558987$	$115060504576/52780005$	$0.96155$	$3.68247$	$[0, -1, 0, -25533, -706563]$	\(y^2=x^3-x^2-25533x-706563\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(-67, 836)]$
91200.fg3	91200dl1	91200.fg	91200dl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$760$	$48$	$0$	$1$	$1$		$1$	$491520$	$1.558987$	$115060504576/52780005$	$0.96155$	$3.68247$	$[0, 1, 0, -25533, 706563]$	\(y^2=x^3+x^2-25533x+706563\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[]$
111720.e3	111720d1	111720.e	111720d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5320$	$48$	$0$	$1$	$1$		$1$	$368640$	$1.380650$	$115060504576/52780005$	$0.96155$	$3.43407$	$[0, -1, 0, -12511, -241100]$	\(y^2=x^3-x^2-12511x-241100\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 28.12.0-4.c.1.2, $\ldots$	$[]$
129960.bx3	129960bd1	129960.bx	129960bd	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$11.71715744$	$1$		$1$	$3686400$	$2.429218$	$115060504576/52780005$	$0.96155$	$4.45857$	$[0, 0, 0, -829578, 132426713]$	\(y^2=x^3-829578x+132426713\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.3, $\ldots$	$[(3200588/17, 5706794495/17)]$
216600.cg3	216600cs1	216600.cg	216600cs	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$760$	$48$	$0$	$1.684685520$	$1$		$7$	$11059200$	$2.684631$	$115060504576/52780005$	$0.96155$	$4.52266$	$[0, 1, 0, -2304383, -613854762]$	\(y^2=x^3+x^2-2304383x-613854762\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(-887, 27075)]$
223440.ez3	223440gr1	223440.ez	223440gr	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5320$	$48$	$0$	$1$	$1$		$1$	$737280$	$1.380650$	$115060504576/52780005$	$0.96155$	$3.24081$	$[0, 1, 0, -12511, 241100]$	\(y^2=x^3+x^2-12511x+241100\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[]$
259920.a3	259920a1	259920.a	259920a	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$15.29290334$	$1$		$1$	$7372800$	$2.429218$	$115060504576/52780005$	$0.96155$	$4.21071$	$[0, 0, 0, -829578, -132426713]$	\(y^2=x^3-829578x-132426713\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.3, $\ldots$	$[(-8872519/112, 14083140051/112)]$
273600.u3	273600u1	273600.u	273600u	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$3932160$	$2.108292$	$115060504576/52780005$	$0.96155$	$3.88584$	$[0, 0, 0, -229800, -19307000]$	\(y^2=x^3-229800x-19307000\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.2, $\ldots$	$[]$
273600.ps3	273600ps1	273600.ps	273600ps	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$3932160$	$2.108292$	$115060504576/52780005$	$0.96155$	$3.88584$	$[0, 0, 0, -229800, 19307000]$	\(y^2=x^3-229800x+19307000\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.1, $\ldots$	$[]$
275880.cd3	275880cd1	275880.cd	275880cd	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 11^{6} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8360$	$48$	$0$	$1.559079414$	$1$		$7$	$1638400$	$1.606642$	$115060504576/52780005$	$0.96155$	$3.40275$	$[0, 1, 0, -30895, -962062]$	\(y^2=x^3+x^2-30895x-962062\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 44.12.0-4.c.1.2, $\ldots$	$[(-37, 363)]$
335160.dm3	335160dm1	335160.dm	335160dm	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 7^{6} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$6.464089259$	$1$		$3$	$2949120$	$1.929956$	$115060504576/52780005$	$0.96155$	$3.65565$	$[0, 0, 0, -112602, 6622301]$	\(y^2=x^3-112602x+6622301\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 84.12.0.?, $\ldots$	$[(6230, 491029)]$
346560.c3	346560c1	346560.c	346560c	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$760$	$48$	$0$	$3.860101505$	$1$		$3$	$7372800$	$2.226486$	$115060504576/52780005$	$0.96155$	$3.92502$	$[0, -1, 0, -368701, 39360445]$	\(y^2=x^3-x^2-368701x+39360445\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(716, 11913)]$
346560.il3	346560il1	346560.il	346560il	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$760$	$48$	$0$	$8.344018280$	$1$		$1$	$7372800$	$2.226486$	$115060504576/52780005$	$0.96155$	$3.92502$	$[0, 1, 0, -368701, -39360445]$	\(y^2=x^3+x^2-368701x-39360445\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(-2791/4, 283899/4)]$
385320.bb3	385320bb1	385320.bb	385320bb	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 13^{6} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$2.310584747$	$1$		$5$	$2949120$	$1.690168$	$115060504576/52780005$	$0.96155$	$3.39229$	$[0, 1, 0, -43151, 1556634]$	\(y^2=x^3+x^2-43151x+1556634\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$	$[(355, 5577)]$
433200.fo3	433200fo1	433200.fo	433200fo	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$760$	$48$	$0$	$1$	$4$	$2$	$1$	$22118400$	$2.684631$	$115060504576/52780005$	$0.96155$	$4.28113$	$[0, -1, 0, -2304383, 613854762]$	\(y^2=x^3-x^2-2304383x+613854762\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[]$