Elliptic curve search results

Results (12 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
19074.n1	19074v1	19074.n	19074v	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.296733787$	$1$		$6$	$967680$	$2.541092$	$-39334245666480232823953/14521637786211072$	$1.05245$	$5.85359$	$[1, 1, 1, -4684339, 3901592177]$	\(y^2+xy+y=x^3+x^2-4684339x+3901592177\)	6.2.0.a.1	$[(1261, 700)]$
19074.bk1	19074bd1	19074.bk	19074bd	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 11^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$16450560$	$3.957699$	$-39334245666480232823953/14521637786211072$	$1.05245$	$7.57834$	$[1, 0, 0, -1353773977, 19177998784313]$	\(y^2+xy=x^3-1353773977x+19177998784313\)	6.2.0.a.1	$[]$
57222.h1	57222bc1	57222.h	57222bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 11^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$131604480$	$4.507004$	$-39334245666480232823953/14521637786211072$	$1.05245$	$7.42005$	$[1, -1, 0, -12183965793, -517805967176451]$	\(y^2+xy=x^3-x^2-12183965793x-517805967176451\)	6.2.0.a.1	$[]$
57222.v1	57222e1	57222.v	57222e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{13} \cdot 11^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$7741440$	$3.090397$	$-39334245666480232823953/14521637786211072$	$1.05245$	$5.86827$	$[1, -1, 0, -42159051, -105385147835]$	\(y^2+xy=x^3-x^2-42159051x-105385147835\)	6.2.0.a.1	$[]$
152592.bd1	152592cf1	152592.bd	152592cf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{20} \cdot 3^{7} \cdot 11^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$16$	$2$	$0$	$394813440$	$4.650848$	$-39334245666480232823953/14521637786211072$	$1.05245$	$6.95491$	$[0, -1, 0, -21660383632, -1227391922196032]$	\(y^2=x^3-x^2-21660383632x-1227391922196032\)	6.2.0.a.1	$[]$
152592.by1	152592h1	152592.by	152592h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{20} \cdot 3^{7} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$5.808037929$	$1$		$2$	$23224320$	$3.234238$	$-39334245666480232823953/14521637786211072$	$1.05245$	$5.53065$	$[0, 1, 0, -74949424, -249851798188]$	\(y^2=x^3+x^2-74949424x-249851798188\)	6.2.0.a.1	$[(20594, 2634624)]$
209814.g1	209814co1	209814.g	209814co	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 11^{16} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$9$	$3$	$0$	$116121600$	$3.740040$	$-39334245666480232823953/14521637786211072$	$1.05245$	$5.88224$	$[1, 1, 0, -566805021, -5195853212931]$	\(y^2+xy=x^3+x^2-566805021x-5195853212931\)	6.2.0.a.1	$[]$
209814.bs1	209814cc1	209814.bs	209814cc	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 11^{16} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$1974067200$	$5.156647$	$-39334245666480232823953/14521637786211072$	$1.05245$	$7.26948$	$[1, 0, 1, -163806651220, -25526080188571822]$	\(y^2+xy+y=x^3-163806651220x-25526080188571822\)	6.2.0.a.1	$[]$
457776.bf1	457776bf1	457776.bf	457776bf	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{20} \cdot 3^{13} \cdot 11^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$3158507520$	$5.200150$	$-39334245666480232823953/14521637786211072$	$1.05245$	$6.87442$	$[0, 0, 0, -194943452691, 33139776842745554]$	\(y^2=x^3-194943452691x+33139776842745554\)	6.2.0.a.1	$[]$
457776.ex1	457776ex1	457776.ex	457776ex	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{20} \cdot 3^{13} \cdot 11^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$185794560$	$3.783543$	$-39334245666480232823953/14521637786211072$	$1.05245$	$5.57021$	$[0, 0, 0, -674544819, 6745324006258]$	\(y^2=x^3-674544819x+6745324006258\)	6.2.0.a.1	$[]$
476850.bb1	476850bb1	476850.bb	476850bb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$2105671680$	$4.762413$	$-39334245666480232823953/14521637786211072$	$1.05245$	$6.45121$	$[1, 1, 0, -33844349425, 2397249848039125]$	\(y^2+xy=x^3+x^2-33844349425x+2397249848039125\)	6.2.0.a.1	$[]$
476850.er1	476850er1	476850.er	476850er	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.173098290$	$1$		$8$	$123863040$	$3.345810$	$-39334245666480232823953/14521637786211072$	$1.05245$	$5.15107$	$[1, 0, 1, -117108476, 487933239098]$	\(y^2+xy+y=x^3-117108476x+487933239098\)	6.2.0.a.1	$[(19617, 2385991)]$