Elliptic curve search results

Results (26 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
3332.b1	3332b1	3332.b	3332b	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$2016$	$0.681629$	$14000/17$	$0.64708$	$3.79137$	$[0, -1, 0, 572, -5704]$	\(y^2=x^3-x^2+572x-5704\)	68.2.0.a.1	$[]$
3332.e1	3332d1	3332.e	3332d	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$288$	$-0.291326$	$14000/17$	$0.64708$	$2.35197$	$[0, 1, 0, 12, 20]$	\(y^2=x^3+x^2+12x+20\)	68.2.0.a.1	$[]$
13328.i1	13328s1	13328.i	13328s	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$1152$	$-0.291326$	$14000/17$	$0.64708$	$2.00867$	$[0, -1, 0, 12, -20]$	\(y^2=x^3-x^2+12x-20\)	68.2.0.a.1	$[]$
13328.s1	13328g1	13328.s	13328g	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$8064$	$0.681629$	$14000/17$	$0.64708$	$3.23797$	$[0, 1, 0, 572, 5704]$	\(y^2=x^3+x^2+572x+5704\)	68.2.0.a.1	$[]$
29988.u1	29988u1	29988.u	29988u	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$60480$	$1.230936$	$14000/17$	$0.64708$	$3.62269$	$[0, 0, 0, 5145, 148862]$	\(y^2=x^3+5145x+148862\)	68.2.0.a.1	$[]$
29988.v1	29988ba1	29988.v	29988ba	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$8640$	$0.257980$	$14000/17$	$0.64708$	$2.49009$	$[0, 0, 0, 105, -434]$	\(y^2=x^3+105x-434\)	68.2.0.a.1	$[]$
53312.v1	53312bi1	53312.v	53312bi	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 7^{8} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1.175884064$	$1$		$12$	$64512$	$1.028202$	$14000/17$	$0.64708$	$3.20766$	$[0, -1, 0, 2287, 43345]$	\(y^2=x^3-x^2+2287x+43345\)	68.2.0.a.1	$[(33, 392), (-351/5, 11368/5)]$
53312.w1	53312u1	53312.w	53312u	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1.416554780$	$1$		$2$	$9216$	$0.055248$	$14000/17$	$0.64708$	$2.13493$	$[0, -1, 0, 47, 113]$	\(y^2=x^3-x^2+47x+113\)	68.2.0.a.1	$[(-1, 8)]$
53312.br1	53312by1	53312.br	53312by	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 7^{2} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$2.245851914$	$1$		$8$	$9216$	$0.055248$	$14000/17$	$0.64708$	$2.13493$	$[0, 1, 0, 47, -113]$	\(y^2=x^3+x^2+47x-113\)	68.2.0.a.1	$[(3, 8), (19/3, 8/3)]$
53312.bs1	53312a1	53312.bs	53312a	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$9.332901444$	$1$		$0$	$64512$	$1.028202$	$14000/17$	$0.64708$	$3.20766$	$[0, 1, 0, 2287, -43345]$	\(y^2=x^3+x^2+2287x-43345\)	68.2.0.a.1	$[(9137/19, 1215304/19)]$
56644.h1	56644i1	56644.h	56644i	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 7^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$2.769280954$	$1$		$0$	$82944$	$1.125280$	$14000/17$	$0.64708$	$3.29633$	$[0, -1, 0, 3372, 77848]$	\(y^2=x^3-x^2+3372x+77848\)	68.2.0.a.1	$[(381/2, 8959/2)]$
56644.o1	56644a1	56644.o	56644a	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 7^{8} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$580608$	$2.098236$	$14000/17$	$0.64708$	$4.36312$	$[0, 1, 0, 165212, -27032300]$	\(y^2=x^3+x^2+165212x-27032300\)	68.2.0.a.1	$[]$
83300.d1	83300n1	83300.d	83300n	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$0.561950314$	$1$		$6$	$41472$	$0.513393$	$14000/17$	$0.64708$	$2.53607$	$[0, -1, 0, 292, 1912]$	\(y^2=x^3-x^2+292x+1912\)	68.2.0.a.1	$[(2, 50)]$
83300.bd1	83300b1	83300.bd	83300b	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1.282489677$	$1$		$2$	$290304$	$1.486349$	$14000/17$	$0.64708$	$3.56654$	$[0, 1, 0, 14292, -684412]$	\(y^2=x^3+x^2+14292x-684412\)	68.2.0.a.1	$[(163, 2450)]$
119952.di1	119952dv1	119952.di	119952dv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.230936$	$14000/17$	$0.64708$	$3.19326$	$[0, 0, 0, 5145, -148862]$	\(y^2=x^3+5145x-148862\)	68.2.0.a.1	$[]$
119952.dj1	119952em1	119952.dj	119952em	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$34560$	$0.257980$	$14000/17$	$0.64708$	$2.19492$	$[0, 0, 0, 105, 434]$	\(y^2=x^3+105x+434\)	68.2.0.a.1	$[]$
226576.bd1	226576u1	226576.bd	226576u	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 7^{8} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$2322432$	$2.098236$	$14000/17$	$0.64708$	$3.87259$	$[0, -1, 0, 165212, 27032300]$	\(y^2=x^3-x^2+165212x+27032300\)	68.2.0.a.1	$[]$
226576.ck1	226576bq1	226576.ck	226576bq	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 7^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$4.332932230$	$1$		$0$	$331776$	$1.125280$	$14000/17$	$0.64708$	$2.92574$	$[0, 1, 0, 3372, -77848]$	\(y^2=x^3+x^2+3372x-77848\)	68.2.0.a.1	$[(2509/2, 126293/2)]$
333200.cq1	333200cq1	333200.cq	333200cq	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$11.59592092$	$1$		$0$	$1161216$	$1.486349$	$14000/17$	$0.64708$	$3.17773$	$[0, -1, 0, 14292, 684412]$	\(y^2=x^3-x^2+14292x+684412\)	68.2.0.a.1	$[(131413/57, 213335450/57)]$
333200.fw1	333200fw1	333200.fw	333200fw	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$5.455751453$	$1$		$0$	$165888$	$0.513393$	$14000/17$	$0.64708$	$2.25960$	$[0, 1, 0, 292, -1912]$	\(y^2=x^3+x^2+292x-1912\)	68.2.0.a.1	$[(527/7, 17450/7)]$
403172.l1	403172l1	403172.l	403172l	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{8} \cdot 11^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$2399040$	$1.880577$	$14000/17$	$0.64708$	$3.49733$	$[0, -1, 0, 69172, 7315288]$	\(y^2=x^3-x^2+69172x+7315288\)	68.2.0.a.1	$[]$
403172.bd1	403172bd1	403172.bd	403172bd	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 7^{2} \cdot 11^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$342720$	$0.907621$	$14000/17$	$0.64708$	$2.59275$	$[0, 1, 0, 1412, -20924]$	\(y^2=x^3+x^2+1412x-20924\)	68.2.0.a.1	$[]$
479808.is1	479808is1	479808.is	479808is	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$2.509274610$	$1$		$2$	$276480$	$0.604554$	$14000/17$	$0.64708$	$2.28024$	$[0, 0, 0, 420, -3472]$	\(y^2=x^3+420x-3472\)	68.2.0.a.1	$[(8, 20)]$
479808.it1	479808it1	479808.it	479808it	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$12.85113725$	$1$		$0$	$1935360$	$1.577509$	$14000/17$	$0.64708$	$3.17278$	$[0, 0, 0, 20580, 1190896]$	\(y^2=x^3+20580x+1190896\)	68.2.0.a.1	$[(-200472/67, 128576804/67)]$
479808.jo1	479808jo1	479808.jo	479808jo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$276480$	$0.604554$	$14000/17$	$0.64708$	$2.28024$	$[0, 0, 0, 420, 3472]$	\(y^2=x^3+420x+3472\)	68.2.0.a.1	$[]$
479808.jp1	479808jp1	479808.jp	479808jp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$1935360$	$1.577509$	$14000/17$	$0.64708$	$3.17278$	$[0, 0, 0, 20580, -1190896]$	\(y^2=x^3+20580x-1190896\)	68.2.0.a.1	$[]$