Elliptic curve search results

Results (16 matches)

  Download displayed columns for results to

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
4884.d1	4884d1	4884.d	4884d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$1$	$1$		$1$	$18432$	$1.372700$	$17453395699253248/4865706969453$	$0.99749$	$4.72948$	$[0, 1, 0, -13617, -444852]$	\(y^2=x^3+x^2-13617x-444852\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
14652.c1	14652e1	14652.c	14652e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 11^{4} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$9768$	$48$	$0$	$2.342553087$	$1$		$5$	$147456$	$1.922007$	$17453395699253248/4865706969453$	$0.99749$	$4.87500$	$[0, 0, 0, -122556, 11888449]$	\(y^2=x^3-122556x+11888449\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 264.12.0.?, $\ldots$	$[(470, 7623)]$
19536.l1	19536r1	19536.l	19536r	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$1$	$1$		$1$	$73728$	$1.372700$	$17453395699253248/4865706969453$	$0.99749$	$4.06587$	$[0, -1, 0, -13617, 444852]$	\(y^2=x^3-x^2-13617x+444852\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
53724.i1	53724i1	53724.i	53724i	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 11^{10} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$296$	$48$	$0$	$1$	$1$		$1$	$2211840$	$2.571648$	$17453395699253248/4865706969453$	$0.99749$	$5.00920$	$[0, 1, 0, -1647697, 585507272]$	\(y^2=x^3+x^2-1647697x+585507272\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
58608.d1	58608bk1	58608.d	58608bk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$9768$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.922007$	$17453395699253248/4865706969453$	$0.99749$	$4.25942$	$[0, 0, 0, -122556, -11888449]$	\(y^2=x^3-122556x-11888449\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 264.12.0.?, $\ldots$	$[ ]$
78144.p1	78144j1	78144.p	78144j	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{8} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.719275$	$17453395699253248/4865706969453$	$0.99749$	$3.93472$	$[0, -1, 0, -54469, -3504347]$	\(y^2=x^3-x^2-54469x-3504347\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
78144.bw1	78144df1	78144.bw	78144df	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{8} \cdot 11^{4} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$0.228035623$	$1$		$11$	$589824$	$1.719275$	$17453395699253248/4865706969453$	$0.99749$	$3.93472$	$[0, 1, 0, -54469, 3504347]$	\(y^2=x^3+x^2-54469x+3504347\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[(38, 1221)]$
122100.b1	122100n1	122100.b	122100n	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 11^{4} \cdot 37^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$16280$	$48$	$0$	$1.303839523$	$1$		$19$	$2359296$	$2.177418$	$17453395699253248/4865706969453$	$0.99749$	$4.25418$	$[0, -1, 0, -340433, -54925638]$	\(y^2=x^3-x^2-340433x-54925638\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 440.12.0.?, $\ldots$	$[(-299, 4477), (922, 20350)]$
161172.e1	161172d1	161172.e	161172d	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 11^{10} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$888$	$48$	$0$	$1$	$1$		$1$	$17694720$	$3.120953$	$17453395699253248/4865706969453$	$0.99749$	$5.09998$	$[0, 0, 0, -14829276, -15823525619]$	\(y^2=x^3-14829276x-15823525619\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$	$[ ]$
180708.n1	180708b1	180708.n	180708b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 11^{4} \cdot 37^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$1$	$1$		$1$	$25214976$	$3.178158$	$17453395699253248/4865706969453$	$0.99749$	$5.10849$	$[0, 1, 0, -18642129, -22309384680]$	\(y^2=x^3+x^2-18642129x-22309384680\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
214896.bg1	214896bl1	214896.bg	214896bl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 11^{10} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$296$	$48$	$0$	$34.02944493$	$1$		$1$	$8847360$	$2.571648$	$17453395699253248/4865706969453$	$0.99749$	$4.44361$	$[0, -1, 0, -1647697, -585507272]$	\(y^2=x^3-x^2-1647697x-585507272\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$	$[(49532767761169092/5785957, 2830245535507684966507990/5785957)]$
234432.dh1	234432dh1	234432.dh	234432dh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{14} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$9768$	$48$	$0$	$1$	$1$		$1$	$4718592$	$2.268581$	$17453395699253248/4865706969453$	$0.99749$	$4.11822$	$[0, 0, 0, -490224, -95107592]$	\(y^2=x^3-490224x-95107592\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 264.12.0.?, $\ldots$	$[ ]$
234432.eg1	234432eg1	234432.eg	234432eg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{14} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$9768$	$48$	$0$	$1$	$1$		$1$	$4718592$	$2.268581$	$17453395699253248/4865706969453$	$0.99749$	$4.11822$	$[0, 0, 0, -490224, 95107592]$	\(y^2=x^3-490224x+95107592\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 264.12.0.?, $\ldots$	$[ ]$
239316.c1	239316c1	239316.c	239316c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$22792$	$48$	$0$	$1$	$1$		$1$	$5308416$	$2.345657$	$17453395699253248/4865706969453$	$0.99749$	$4.18604$	$[0, -1, 0, -667249, 151249750]$	\(y^2=x^3-x^2-667249x+151249750\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 616.12.0.?, $\ldots$	$[ ]$
366300.d1	366300d1	366300.d	366300d	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$48840$	$48$	$0$	$1$	$1$		$1$	$18874368$	$2.726727$	$17453395699253248/4865706969453$	$0.99749$	$4.40389$	$[0, 0, 0, -3063900, 1486056125]$	\(y^2=x^3-3063900x+1486056125\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 1320.12.0.?, $\ldots$	$[ ]$
488400.hm1	488400hm1	488400.hm	488400hm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$16280$	$48$	$0$	$1$	$1$		$1$	$9437184$	$2.177418$	$17453395699253248/4865706969453$	$0.99749$	$3.80395$	$[0, 1, 0, -340433, 54925638]$	\(y^2=x^3+x^2-340433x+54925638\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 148.24.0.?, 440.12.0.?, $\ldots$	$[ ]$

  Download displayed columns for results to