Elliptic curve search results

Results (27 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
1110.h2	1110h2	1110.h	1110h	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$4440$	$96$	$1$	$1$	$1$		$4$	$2016$	$0.787837$	$16581570075765001/998001000$	$0.97935$	$5.32608$	$[1, 0, 1, -5313, 148588]$	\(y^2+xy+y=x^3-5313x+148588\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[]$
3330.m2	3330s2	3330.m	3330s	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$4440$	$96$	$1$	$1$	$1$		$0$	$16128$	$1.337143$	$16581570075765001/998001000$	$0.97935$	$5.41736$	$[1, -1, 1, -47813, -4011883]$	\(y^2+xy+y=x^3-x^2-47813x-4011883\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[]$
5550.bd2	5550x2	5550.bd	5550x	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1$	$1$		$0$	$48384$	$1.592556$	$16581570075765001/998001000$	$0.97935$	$5.45188$	$[1, 1, 1, -132813, 18573531]$	\(y^2+xy+y=x^3+x^2-132813x+18573531\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$	$[]$
8880.n2	8880s2	8880.n	8880s	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1$	$1$		$1$	$48384$	$1.480984$	$16581570075765001/998001000$	$0.97935$	$5.02277$	$[0, -1, 0, -85000, -9509648]$	\(y^2=x^3-x^2-85000x-9509648\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$	$[]$
16650.bj2	16650p2	16650.bj	16650p	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1$	$1$		$0$	$387072$	$2.141861$	$16581570075765001/998001000$	$0.97935$	$5.51383$	$[1, -1, 0, -1195317, -502680659]$	\(y^2+xy=x^3-x^2-1195317x-502680659\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$	$[]$
26640.x2	26640bk2	26640.x	26640bk	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1$	$1$		$1$	$387072$	$2.030289$	$16581570075765001/998001000$	$0.97935$	$5.12813$	$[0, 0, 0, -765003, 257525498]$	\(y^2=x^3-765003x+257525498\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$	$[]$
35520.a2	35520e2	35520.a	35520e	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$0.864376477$	$1$		$9$	$387072$	$1.827559$	$16581570075765001/998001000$	$0.97935$	$4.75515$	$[0, -1, 0, -340001, 76417185]$	\(y^2=x^3-x^2-340001x+76417185\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0-6.a.1.3, $\ldots$	$[(281, 1728)]$
35520.cg2	35520cn2	35520.cg	35520cn	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$3.408797044$	$1$		$3$	$387072$	$1.827559$	$16581570075765001/998001000$	$0.97935$	$4.75515$	$[0, 1, 0, -340001, -76417185]$	\(y^2=x^3+x^2-340001x-76417185\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 40.6.0.b.1, $\ldots$	$[(679, 2496)]$
41070.bd2	41070be2	41070.bd	41070be	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$2.198028460$	$1$		$2$	$2757888$	$2.593296$	$16581570075765001/998001000$	$0.97935$	$5.55515$	$[1, 0, 0, -7272841, 7548259121]$	\(y^2+xy=x^3-7272841x+7548259121\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.b.1, $\ldots$	$[(-700, 111239)]$
44400.bw2	44400cn2	44400.bw	44400cn	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1.693626685$	$1$		$7$	$1161216$	$2.285702$	$16581570075765001/998001000$	$0.97935$	$5.16975$	$[0, 1, 0, -2125008, -1192956012]$	\(y^2=x^3+x^2-2125008x-1192956012\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 40.6.0.b.1, $\ldots$	$[(-846, 144)]$
54390.i2	54390i2	54390.i	54390i	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$9.446502974$	$1$		$0$	$580608$	$1.760792$	$16581570075765001/998001000$	$0.97935$	$4.49586$	$[1, 1, 0, -260313, -51226083]$	\(y^2+xy=x^3+x^2-260313x-51226083\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[(64753/9, 11289394/9)]$
106560.dx2	106560cz2	106560.dx	106560cz	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{21} \cdot 3^{12} \cdot 5^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$5.427276664$	$1$		$3$	$3096576$	$2.376865$	$16581570075765001/998001000$	$0.97935$	$4.87328$	$[0, 0, 0, -3060012, -2060203984]$	\(y^2=x^3-3060012x-2060203984\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$	$[(19732, 2760480)]$
106560.gg2	106560fy2	106560.gg	106560fy	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \)	\( 2^{21} \cdot 3^{12} \cdot 5^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1$	$1$		$1$	$3096576$	$2.376865$	$16581570075765001/998001000$	$0.97935$	$4.87328$	$[0, 0, 0, -3060012, 2060203984]$	\(y^2=x^3-3060012x+2060203984\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.b.1, $\ldots$	$[]$
123210.z2	123210br2	123210.z	123210br	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$3.239663467$	$1$		$2$	$22063104$	$3.142601$	$16581570075765001/998001000$	$0.97935$	$5.59685$	$[1, -1, 0, -65455569, -203802996267]$	\(y^2+xy=x^3-x^2-65455569x-203802996267\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 40.6.0.b.1, $\ldots$	$[(12127, 880364)]$
133200.q2	133200bs2	133200.q	133200bs	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1.657570611$	$1$		$7$	$9289728$	$2.835011$	$16581570075765001/998001000$	$0.97935$	$5.24705$	$[0, 0, 0, -19125075, 32190687250]$	\(y^2=x^3-19125075x+32190687250\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 40.6.0.b.1, $\ldots$	$[(2495, 2250)]$
134310.cz2	134310e2	134310.cz	134310e	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 11^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48840$	$96$	$1$	$1$	$1$		$0$	$2177280$	$1.986784$	$16581570075765001/998001000$	$0.97935$	$4.38134$	$[1, 0, 0, -642815, -198413775]$	\(y^2+xy=x^3-642815x-198413775\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[]$
163170.ez2	163170b2	163170.ez	163170b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 7^{6} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$1.661630842$	$1$		$16$	$4644864$	$2.310097$	$16581570075765001/998001000$	$0.97935$	$4.63353$	$[1, -1, 1, -2342822, 1380761421]$	\(y^2+xy+y=x^3-x^2-2342822x+1380761421\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[(851, 1239), (891, -201)]$
177600.p2	177600di2	177600.p	177600di	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$8.346202945$	$1$		$1$	$9289728$	$2.632278$	$16581570075765001/998001000$	$0.97935$	$4.92090$	$[0, -1, 0, -8500033, -9535148063]$	\(y^2=x^3-x^2-8500033x-9535148063\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 40.6.0.b.1, $\ldots$	$[(572703/13, 52207000/13)]$
177600.jb2	177600gx2	177600.jb	177600gx	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \)	\( 2^{21} \cdot 3^{6} \cdot 5^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1.968784874$	$1$		$5$	$9289728$	$2.632278$	$16581570075765001/998001000$	$0.97935$	$4.92090$	$[0, 1, 0, -8500033, 9535148063]$	\(y^2=x^3+x^2-8500033x+9535148063\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[(1538, 10125)]$
187590.cp2	187590t2	187590.cp	187590t	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 13^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$57720$	$96$	$1$	$0.945267267$	$1$		$6$	$4644864$	$2.070312$	$16581570075765001/998001000$	$0.97935$	$4.34333$	$[1, 0, 0, -897816, 327346200]$	\(y^2+xy=x^3-897816x+327346200\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[(534, 240)]$
205350.z2	205350ek2	205350.z	205350ek	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 37^{2} \)	\( 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$6.762658341$	$1$		$2$	$66189312$	$3.398014$	$16581570075765001/998001000$	$0.97935$	$5.61368$	$[1, 1, 0, -181821025, 943532390125]$	\(y^2+xy=x^3+x^2-181821025x+943532390125\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.16, 40.6.0.b.1, $\ldots$	$[(537255, 393404435)]$
271950.io2	271950io2	271950.io	271950io	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 7^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$1$	$1$		$0$	$13934592$	$2.565510$	$16581570075765001/998001000$	$0.97935$	$4.68932$	$[1, 0, 0, -6507838, -6390244708]$	\(y^2+xy=x^3-6507838x-6390244708\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 105.8.0.?, $\ldots$	$[]$
320790.f2	320790f2	320790.f	320790f	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 17^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$75480$	$96$	$1$	$5.935740086$	$1$		$0$	$9289728$	$2.204445$	$16581570075765001/998001000$	$0.97935$	$4.28648$	$[1, 1, 0, -1535318, 731549388]$	\(y^2+xy=x^3+x^2-1535318x+731549388\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.2, $\ldots$	$[(9937/3, 514109/3)]$
328560.m2	328560m2	328560.m	328560m	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \)	\( 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4440$	$96$	$1$	$1$	$4$	$2$	$1$	$66189312$	$3.286442$	$16581570075765001/998001000$	$0.97935$	$5.30057$	$[0, -1, 0, -116365456, -483088583744]$	\(y^2=x^3-x^2-116365456x-483088583744\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 40.6.0.b.1, $\ldots$	$[]$
400710.bg2	400710bg2	400710.bg	400710bg	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 19^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$84360$	$96$	$1$	$1$	$1$		$0$	$14370048$	$2.260056$	$16581570075765001/998001000$	$0.97935$	$4.26430$	$[1, 1, 1, -1917820, -1023002443]$	\(y^2+xy+y=x^3+x^2-1917820x-1023002443\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 57.8.0-3.a.1.1, $\ldots$	$[]$
402930.bf2	402930bf2	402930.bf	402930bf	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 11^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48840$	$96$	$1$	$1$	$1$		$0$	$17418240$	$2.536091$	$16581570075765001/998001000$	$0.97935$	$4.51912$	$[1, -1, 0, -5785335, 5357171925]$	\(y^2+xy=x^3-x^2-5785335x+5357171925\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[]$
435120.el2	435120el2	435120.el	435120el	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31080$	$96$	$1$	$2.723995475$	$1$		$5$	$13934592$	$2.453938$	$16581570075765001/998001000$	$0.97935$	$4.41644$	$[0, 1, 0, -4165016, 3270139284]$	\(y^2=x^3+x^2-4165016x+3270139284\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 84.24.0.?, $\ldots$	$[(1060, 6882)]$