Elliptic curve search results

Results (16 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
4389.b1	4389k2	4389.b	4389k	$2$	$5$	\( 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 3 \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$43890$	$48$	$1$	$1$	$1$		$0$	$26000$	$1.430130$	$15985030403346927616/8374342621029$	$0.97525$	$5.27232$	$[0, 1, 1, -52480, -4642862]$	\(y^2+y=x^3+x^2-52480x-4642862\)	5.24.0-5.a.2.2, 8778.2.0.?, 43890.48.1.?	$[]$
13167.n1	13167i2	13167.n	13167i	$2$	$5$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$10.58532277$	$1$		$0$	$208000$	$1.979437$	$15985030403346927616/8374342621029$	$0.97525$	$5.35660$	$[0, 0, 1, -472323, 124884945]$	\(y^2+y=x^3-472323x+124884945\)	5.12.0.a.2, 15.24.0-5.a.2.1, 8778.2.0.?, 14630.24.0.?, 43890.48.1.?	$[(247649/26, 17728781/26)]$
30723.a1	30723t2	30723.a	30723t	$2$	$5$	\( 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3 \cdot 7^{7} \cdot 11^{5} \cdot 19^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$0.128161015$	$1$		$24$	$1248000$	$2.403084$	$15985030403346927616/8374342621029$	$0.97525$	$5.40936$	$[0, -1, 1, -2571536, 1587358520]$	\(y^2+y=x^3-x^2-2571536x+1587358520\)	5.12.0.a.2, 35.24.0-5.a.2.2, 6270.24.0.?, 8778.2.0.?, 43890.48.1.?	$[(1090, 8844), (7948/3, 56312/3)]$
48279.bb1	48279r2	48279.bb	48279r	$2$	$5$	\( 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3 \cdot 7 \cdot 11^{11} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$1$	$1$		$0$	$3120000$	$2.629078$	$15985030403346927616/8374342621029$	$0.97525$	$5.43411$	$[0, 1, 1, -6350120, 6154248557]$	\(y^2+y=x^3+x^2-6350120x+6154248557\)	5.12.0.a.2, 55.24.0-5.a.2.1, 3990.24.0.?, 8778.2.0.?, 43890.48.1.?	$[]$
70224.bb1	70224bf2	70224.bb	70224bf	$2$	$5$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3 \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$87780$	$48$	$1$	$3.505029742$	$1$		$2$	$1040000$	$2.123276$	$15985030403346927616/8374342621029$	$0.97525$	$4.70776$	$[0, -1, 0, -839685, 296303469]$	\(y^2=x^3-x^2-839685x+296303469\)	5.12.0.a.2, 20.24.0-5.a.2.2, 8778.2.0.?, 43890.24.1.?, 87780.48.1.?	$[(-460, 24187)]$
83391.r1	83391m2	83391.r	83391m	$2$	$5$	\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3 \cdot 7 \cdot 11^{5} \cdot 19^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$1$	$1$		$0$	$9360000$	$2.902351$	$15985030403346927616/8374342621029$	$0.97525$	$5.46141$	$[0, -1, 1, -18945400, 31731716595]$	\(y^2+y=x^3-x^2-18945400x+31731716595\)	5.12.0.a.2, 95.24.0.?, 2310.24.0.?, 8778.2.0.?, 43890.48.1.?	$[]$
92169.bn1	92169x2	92169.bn	92169x	$2$	$5$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 7^{7} \cdot 11^{5} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$1$	$1$		$0$	$9984000$	$2.952393$	$15985030403346927616/8374342621029$	$0.97525$	$5.46612$	$[0, 0, 1, -23143827, -42835536221]$	\(y^2+y=x^3-23143827x-42835536221\)	5.12.0.a.2, 105.24.0.?, 2090.24.0.?, 8778.2.0.?, 43890.48.1.?	$[]$
109725.cc1	109725i2	109725.cc	109725i	$2$	$5$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3 \cdot 5^{6} \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.4	5B.1.3	$43890$	$48$	$1$	$1$	$1$		$0$	$3640000$	$2.234848$	$15985030403346927616/8374342621029$	$0.97525$	$4.64209$	$[0, -1, 1, -1312008, -577733707]$	\(y^2+y=x^3-x^2-1312008x-577733707\)	5.24.0-5.a.2.1, 8778.2.0.?, 43890.48.1.?	$[]$
144837.c1	144837c2	144837.c	144837c	$2$	$5$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3^{7} \cdot 7 \cdot 11^{11} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$1$	$1$		$0$	$24960000$	$3.178383$	$15985030403346927616/8374342621029$	$0.97525$	$5.48643$	$[0, 0, 1, -57151083, -166221862128]$	\(y^2+y=x^3-57151083x-166221862128\)	5.12.0.a.2, 165.24.0.?, 1330.24.0.?, 8778.2.0.?, 43890.48.1.?	$[]$
210672.bw1	210672u2	210672.bw	210672u	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{7} \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$87780$	$48$	$1$	$0.591585517$	$1$		$2$	$8320000$	$2.672585$	$15985030403346927616/8374342621029$	$0.97525$	$4.82357$	$[0, 0, 0, -7557168, -7992636496]$	\(y^2=x^3-7557168x-7992636496\)	5.12.0.a.2, 60.24.0-5.a.2.2, 8778.2.0.?, 29260.24.0.?, 43890.24.1.?, $\ldots$	$[(-1583, 1881)]$
250173.b1	250173b2	250173.b	250173b	$2$	$5$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3^{7} \cdot 7 \cdot 11^{5} \cdot 19^{11} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$9.393861092$	$1$		$0$	$74880000$	$3.451656$	$15985030403346927616/8374342621029$	$0.97525$	$5.50901$	$[0, 0, 1, -170508603, -856585839470]$	\(y^2+y=x^3-170508603x-856585839470\)	5.12.0.a.2, 285.24.0.?, 770.24.0.?, 8778.2.0.?, 43890.48.1.?	$[(-121391/4, 1172857/4), (67393/2, 8210219/2)]$
280896.bh1	280896bh2	280896.bh	280896bh	$2$	$5$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$175560$	$48$	$1$	$4.448533194$	$1$		$2$	$2080000$	$1.776705$	$15985030403346927616/8374342621029$	$0.97525$	$3.85606$	$[0, -1, 0, -209921, -36932973]$	\(y^2=x^3-x^2-209921x-36932973\)	5.12.0.a.2, 40.24.0-5.a.2.3, 8778.2.0.?, 43890.24.1.?, 175560.48.1.?	$[(-266, 119)]$
280896.fg1	280896fg2	280896.fg	280896fg	$2$	$5$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$175560$	$48$	$1$	$1$	$1$		$0$	$2080000$	$1.776705$	$15985030403346927616/8374342621029$	$0.97525$	$3.85606$	$[0, 1, 0, -209921, 36932973]$	\(y^2=x^3+x^2-209921x+36932973\)	5.12.0.a.2, 40.24.0-5.a.2.1, 8778.2.0.?, 43890.24.1.?, 175560.48.1.?	$[]$
329175.a1	329175a2	329175.a	329175a	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 5^{6} \cdot 7 \cdot 11^{5} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$1$	$1$		$0$	$29120000$	$2.784157$	$15985030403346927616/8374342621029$	$0.97525$	$4.75951$	$[0, 0, 1, -11808075, 15610618156]$	\(y^2+y=x^3-11808075x+15610618156\)	5.12.0.a.2, 15.24.0-5.a.2.2, 8778.2.0.?, 14630.24.0.?, 43890.48.1.?	$[]$
337953.ch1	337953ch2	337953.ch	337953ch	$2$	$5$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 19 \)	\( 3 \cdot 7^{7} \cdot 11^{11} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$43890$	$48$	$1$	$43.15597593$	$1$		$0$	$149760000$	$3.602032$	$15985030403346927616/8374342621029$	$0.97525$	$5.52061$	$[0, -1, 1, -311155896, -2111529566917]$	\(y^2+y=x^3-x^2-311155896x-2111529566917\)	5.12.0.a.2, 385.24.0.?, 570.24.0.?, 8778.2.0.?, 43890.48.1.?	$[(-3766036769447716282991/608639916, 6938291707892413846865492613391/608639916)]$
491568.fd1	491568fd2	491568.fd	491568fd	$2$	$5$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3 \cdot 7^{7} \cdot 11^{5} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$87780$	$48$	$1$	$1$	$25$	$5$	$0$	$49920000$	$3.096233$	$15985030403346927616/8374342621029$	$0.97525$	$4.89963$	$[0, 1, 0, -41144581, -101549800717]$	\(y^2=x^3+x^2-41144581x-101549800717\)	5.12.0.a.2, 140.24.0.?, 8778.2.0.?, 12540.24.0.?, 43890.24.1.?, $\ldots$	$[]$