Elliptic curve search results

Results (25 matches)

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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	Manin constant
1554.n1	1554m2	1554.n	1554m	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 37 \)	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$0$	$960$	$0.510079$	$1504154129818033/5519808$	$1.03070$	$4.75561$	$[1, 0, 0, -2387, -45087]$	\(y^2+xy=x^3-2387x-45087\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
4662.b1	4662g2	4662.b	4662g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 37 \)	\( 2^{6} \cdot 3^{8} \cdot 7 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$0.517712865$	$1$		$10$	$7680$	$1.059385$	$1504154129818033/5519808$	$1.03070$	$4.91745$	$[1, -1, 0, -21483, 1217349]$	\(y^2+xy=x^3-x^2-21483x+1217349\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(78, 69)]$	$1$
10878.x1	10878bd2	10878.x	10878bd	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{2} \cdot 7^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$0.264275379$	$1$		$10$	$46080$	$1.483034$	$1504154129818033/5519808$	$1.03070$	$5.01614$	$[1, 1, 1, -116964, 15347877]$	\(y^2+xy+y=x^3+x^2-116964x+15347877\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(195, -49)]$	$1$
12432.v1	12432z2	12432.v	12432z	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 37 \)	\( 2^{18} \cdot 3^{2} \cdot 7 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$23040$	$1.203226$	$1504154129818033/5519808$	$1.03070$	$4.58895$	$[0, -1, 0, -38192, 2885568]$	\(y^2=x^3-x^2-38192x+2885568\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
32634.bc1	32634u2	32634.bc	32634u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{8} \cdot 7^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1.874871180$	$1$		$6$	$368640$	$2.032341$	$1504154129818033/5519808$	$1.03070$	$5.12014$	$[1, -1, 0, -1052676, -415445360]$	\(y^2+xy=x^3-x^2-1052676x-415445360\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(-592, 332)]$	$1$
37296.j1	37296bq2	37296.j	37296bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 37 \)	\( 2^{18} \cdot 3^{8} \cdot 7 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$6.540907362$	$1$		$3$	$184320$	$1.752533$	$1504154129818033/5519808$	$1.03070$	$4.73622$	$[0, 0, 0, -343731, -77566606]$	\(y^2=x^3-343731x-77566606\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(3262, 183060)]$	$1$
38850.h1	38850e2	38850.h	38850e	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$0$	$122880$	$1.314798$	$1504154129818033/5519808$	$1.03070$	$4.22085$	$[1, 1, 0, -59675, -5635875]$	\(y^2+xy=x^3+x^2-59675x-5635875\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
49728.p1	49728bd2	49728.p	49728bd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 37 \)	\( 2^{24} \cdot 3^{2} \cdot 7 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$3.463317026$	$1$		$3$	$184320$	$1.549799$	$1504154129818033/5519808$	$1.03070$	$4.38526$	$[0, -1, 0, -152769, -22931775]$	\(y^2=x^3-x^2-152769x-22931775\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(497, 4864)]$	$1$
49728.cw1	49728ek2	49728.cw	49728ek	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 37 \)	\( 2^{24} \cdot 3^{2} \cdot 7 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.549799$	$1504154129818033/5519808$	$1.03070$	$4.38526$	$[0, 1, 0, -152769, 22931775]$	\(y^2=x^3+x^2-152769x+22931775\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
57498.i1	57498j2	57498.i	57498j	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \)	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$11.40015064$	$1$		$0$	$1313280$	$2.315536$	$1504154129818033/5519808$	$1.03070$	$5.16561$	$[1, 0, 1, -3267832, -2273988346]$	\(y^2+xy+y=x^3-3267832x-2273988346\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(-4690007/67, 137908217/67)]$	$1$
87024.cq1	87024ds2	87024.cq	87024ds	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 37 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$1105920$	$2.176182$	$1504154129818033/5519808$	$1.03070$	$4.83036$	$[0, 1, 0, -1871424, -986006988]$	\(y^2=x^3+x^2-1871424x-986006988\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
116550.df1	116550eh2	116550.df	116550eh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{6} \cdot 7 \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1.283246615$	$1$		$20$	$983040$	$1.864103$	$1504154129818033/5519808$	$1.03070$	$4.38839$	$[1, -1, 1, -537080, 151631547]$	\(y^2+xy+y=x^3-x^2-537080x+151631547\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(425, -159), (395, 801)]$	$1$
149184.fe1	149184cn2	149184.fe	149184cn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37 \)	\( 2^{24} \cdot 3^{8} \cdot 7 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.099106$	$1504154129818033/5519808$	$1.03070$	$4.53417$	$[0, 0, 0, -1374924, -620532848]$	\(y^2=x^3-1374924x-620532848\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
149184.ga1	149184fq2	149184.ga	149184fq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37 \)	\( 2^{24} \cdot 3^{8} \cdot 7 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.099106$	$1504154129818033/5519808$	$1.03070$	$4.53417$	$[0, 0, 0, -1374924, 620532848]$	\(y^2=x^3-1374924x+620532848\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
172494.z1	172494j2	172494.z	172494j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 37^{2} \)	\( 2^{6} \cdot 3^{8} \cdot 7 \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$0$	$10506240$	$2.864845$	$1504154129818033/5519808$	$1.03070$	$5.24163$	$[1, -1, 1, -29410484, 61397685335]$	\(y^2+xy+y=x^3-x^2-29410484x+61397685335\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
188034.ba1	188034bx2	188034.ba	188034bx	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$2.746366691$	$1$		$2$	$1344000$	$1.709026$	$1504154129818033/5519808$	$1.03070$	$4.06232$	$[1, 0, 1, -288830, 59721968]$	\(y^2+xy+y=x^3-288830x+59721968\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(-507, 8965)]$	$1$
261072.ff1	261072ff2	261072.ff	261072ff	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 37 \)	\( 2^{18} \cdot 3^{8} \cdot 7^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.725487$	$1504154129818033/5519808$	$1.03070$	$4.93339$	$[0, 0, 0, -16842819, 26605345858]$	\(y^2=x^3-16842819x+26605345858\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
262626.p1	262626p2	262626.p	262626p	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$5.836276110$	$1$		$0$	$2073600$	$1.792553$	$1504154129818033/5519808$	$1.03070$	$4.03388$	$[1, 0, 1, -403407, -98652734]$	\(y^2+xy+y=x^3-403407x-98652734\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(-17953/7, 58596/7)]$	$1$
271950.ec1	271950ec2	271950.ec	271950ec	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$0$	$5898240$	$2.287754$	$1504154129818033/5519808$	$1.03070$	$4.49752$	$[1, 0, 1, -2924101, 1924332848]$	\(y^2+xy+y=x^3-2924101x+1924332848\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
310800.gh1	310800gh2	310800.gh	310800gh	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$5.218170923$	$1$		$1$	$2949120$	$2.007946$	$1504154129818033/5519808$	$1.03070$	$4.18453$	$[0, 1, 0, -954808, 358786388]$	\(y^2=x^3+x^2-954808x+358786388\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(5692/3, 77750/3)]$	$1$
348096.eu1	348096eu2	348096.eu	348096eu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 37 \)	\( 2^{24} \cdot 3^{2} \cdot 7^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$9$	$3$	$1$	$8847360$	$2.522755$	$1504154129818033/5519808$	$1.03070$	$4.63151$	$[0, -1, 0, -7485697, -7880570207]$	\(y^2=x^3-x^2-7485697x-7880570207\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
348096.kj1	348096kj2	348096.kj	348096kj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 37 \)	\( 2^{24} \cdot 3^{2} \cdot 7^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.522755$	$1504154129818033/5519808$	$1.03070$	$4.63151$	$[0, 1, 0, -7485697, 7880570207]$	\(y^2=x^3+x^2-7485697x+7880570207\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
402486.v1	402486v2	402486.v	402486v	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 37^{2} \)	\( 2^{6} \cdot 3^{2} \cdot 7^{7} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$0$	$63037440$	$3.288494$	$1504154129818033/5519808$	$1.03070$	$5.29142$	$[1, 1, 0, -160123744, 779817878848]$	\(y^2+xy=x^3+x^2-160123744x+779817878848\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$
449106.bm1	449106bm2	449106.bm	449106bm	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \cdot 37 \)	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$3.626459859$	$1$		$2$	$4915200$	$1.926685$	$1504154129818033/5519808$	$1.03070$	$3.99126$	$[1, 1, 1, -689849, -220822585]$	\(y^2+xy+y=x^3+x^2-689849x-220822585\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[(1327, 34016)]$	$1$
459984.h1	459984h2	459984.h	459984h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 37^{2} \)	\( 2^{18} \cdot 3^{2} \cdot 7 \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3108$	$12$	$0$	$1$	$1$		$1$	$31518720$	$3.008686$	$1504154129818033/5519808$	$1.03070$	$4.97972$	$[0, -1, 0, -52285304, 145535254128]$	\(y^2=x^3-x^2-52285304x+145535254128\)	2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.?	$[ ]$	$1$

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