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
6006.bb5	6006bd2	6006.bb	6006bd	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.24	2Cs	$616$	$192$	$1$	$1.277020466$	$1$		$18$	$196608$	$2.411068$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.12748$	$[1, 0, 0, -1087664, -397529616]$	\(y^2+xy=x^3-1087664x-397529616\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 28.48.0-28.c.1.1, 56.96.0-56.j.1.1, $\ldots$	$[(-536, 5884)]$
18018.n5	18018h2	18018.n	18018h	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{22} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$4.082541737$	$1$		$6$	$1572864$	$2.960377$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.11319$	$[1, -1, 0, -9788976, 10733299632]$	\(y^2+xy=x^3-x^2-9788976x+10733299632\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.3, 24.48.0-8.e.2.3, $\ldots$	$[(3051, 94707)]$
42042.ck5	42042ck2	42042.ck	42042ck	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 7^{8} \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.9	2Cs	$616$	$192$	$1$	$1$	$4$	$2$	$2$	$9437184$	$3.384026$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.10418$	$[1, 1, 1, -53295537, 136299362751]$	\(y^2+xy+y=x^3+x^2-53295537x+136299362751\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.13, 28.48.0-28.c.1.4, 56.96.0-56.j.1.8, $\ldots$	$[ ]$
48048.k5	48048bs2	48048.k	48048bs	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{16} \cdot 3^{16} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.32	2Cs	$616$	$192$	$1$	$1$	$1$		$3$	$4718592$	$3.104218$	$142301015703162602447617/14112380844589691664$	$1.00526$	$5.71709$	$[0, -1, 0, -17402624, 25441895424]$	\(y^2=x^3-x^2-17402624x+25441895424\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 28.48.0-28.c.1.3, 56.96.0-56.j.1.7, $\ldots$	$[ ]$
66066.ba5	66066be2	66066.ba	66066be	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 7^{2} \cdot 11^{10} \cdot 13^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.95	2Cs	$616$	$192$	$1$	$1$	$1$		$2$	$23592960$	$3.610016$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.09994$	$[1, 0, 1, -131607347, 528980311550]$	\(y^2+xy+y=x^3-131607347x+528980311550\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.5, 28.24.0.c.1, 44.24.0-4.b.1.3, $\ldots$	$[ ]$
78078.bm5	78078bm2	78078.bm	78078bm	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{16} \cdot 7^{2} \cdot 11^{4} \cdot 13^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$8008$	$192$	$1$	$5.592375138$	$1$		$4$	$33030144$	$3.693542$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.09846$	$[1, 0, 1, -183815220, -873188751134]$	\(y^2+xy+y=x^3-183815220x-873188751134\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 28.24.0.c.1, 52.24.0-4.b.1.3, $\ldots$	$[(-9346, 173250)]$
126126.l5	126126bz2	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{22} \cdot 7^{8} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$12.26897775$	$1$		$2$	$75497472$	$3.933331$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.09444$	$[1, -1, 0, -479659833, -3680562454115]$	\(y^2+xy=x^3-x^2-479659833x-3680562454115\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.2, 24.48.0-8.e.2.16, $\ldots$	$[(-9049378/31, -869718979/31)]$
144144.ed5	144144bp2	144144.ed	144144bp	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{16} \cdot 3^{22} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$1$	$4$	$2$	$3$	$37748736$	$3.653522$	$142301015703162602447617/14112380844589691664$	$1.00526$	$5.74326$	$[0, 0, 0, -156623619, -686774552830]$	\(y^2=x^3-156623619x-686774552830\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.1, 24.48.0-8.e.2.1, $\ldots$	$[ ]$
150150.bm5	150150fq2	150150.bm	150150fq	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$3080$	$192$	$1$	$3.836960258$	$1$		$6$	$25165824$	$3.215790$	$142301015703162602447617/14112380844589691664$	$1.00526$	$5.28289$	$[1, 1, 0, -27191600, -49691202000]$	\(y^2+xy=x^3+x^2-27191600x-49691202000\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.3, 28.24.0.c.1, $\ldots$	$[(-3335, 64230)]$
192192.cv5	192192ib2	192192.cv	192192ib	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{22} \cdot 3^{16} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.85	2Cs	$616$	$192$	$1$	$30.51499335$	$1$		$3$	$37748736$	$3.450790$	$142301015703162602447617/14112380844589691664$	$1.00526$	$5.40749$	$[0, -1, 0, -69610497, -203465552895]$	\(y^2=x^3-x^2-69610497x-203465552895\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 28.24.0.c.1, 56.96.0-56.j.1.3, $\ldots$	$[(-31274450595448/91961, 45168367031104166045/91961)]$
192192.hr5	192192bh2	192192.hr	192192bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{22} \cdot 3^{16} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.94	2Cs	$616$	$192$	$1$	$2.201169761$	$1$		$9$	$37748736$	$3.450790$	$142301015703162602447617/14112380844589691664$	$1.00526$	$5.40749$	$[0, 1, 0, -69610497, 203465552895]$	\(y^2=x^3+x^2-69610497x+203465552895\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.1, 28.24.0.c.1, 56.96.0-56.j.1.5, $\ldots$	$[(6501, 160380)]$
198198.el5	198198bd2	198198.el	198198bd	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{22} \cdot 7^{2} \cdot 11^{10} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$34.10389218$	$1$		$2$	$188743680$	$4.159325$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.09094$	$[1, -1, 1, -1184466119, -14282468411857]$	\(y^2+xy+y=x^3-x^2-1184466119x-14282468411857\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.7, 28.24.0.c.1, $\ldots$	$[(10856481419849041/239321, 1109875181749372224251244/239321)]$
234234.ed5	234234ed2	234234.ed	234234ed	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{22} \cdot 7^{2} \cdot 11^{4} \cdot 13^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$24024$	$192$	$1$	$10.69582896$	$1$		$4$	$264241152$	$4.242851$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.08971$	$[1, -1, 1, -1654336976, 23576096280611]$	\(y^2+xy+y=x^3-x^2-1654336976x+23576096280611\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 28.24.0.c.1, 56.48.0.j.1, $\ldots$	$[(441931, 292358563)]$
336336.hw5	336336hw2	336336.hw	336336hw	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{16} \cdot 3^{16} \cdot 7^{8} \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.11	2Cs	$616$	$192$	$1$	$1$	$1$		$3$	$226492416$	$4.077171$	$142301015703162602447617/14112380844589691664$	$1.00526$	$5.76035$	$[0, 1, 0, -852728592, -8724864673260]$	\(y^2=x^3+x^2-852728592x-8724864673260\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.15, 28.48.0-28.c.1.2, 56.96.0-56.j.1.2, $\ldots$	$[ ]$
450450.je5	450450je2	450450.je	450450je	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{22} \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$9240$	$192$	$1$	$1$	$1$		$2$	$201326592$	$3.765095$	$142301015703162602447617/14112380844589691664$	$1.00526$	$5.34341$	$[1, -1, 1, -244724405, 1341417729597]$	\(y^2+xy+y=x^3-x^2-244724405x+1341417729597\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 28.24.0.c.1, 56.48.0.j.1, $\ldots$	$[ ]$
462462.by5	462462by2	462462.by	462462by	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 7^{8} \cdot 11^{10} \cdot 13^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.83	2Cs	$616$	$192$	$1$	$1$	$9$	$3$	$2$	$1132462080$	$4.582970$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.08503$	$[1, 1, 0, -6448759979, -181446695621715]$	\(y^2+xy=x^3+x^2-6448759979x-181446695621715\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.10, 28.24.0.c.1, 44.24.0-4.b.1.2, $\ldots$	$[ ]$

  Download displayed columns for results to