Elliptic curve search results

Results (11 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
26520.bc1	26520bf6	26520.bc	26520bf	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.55	2B	$53040$	$192$	$1$	$1$	$4$	$2$	$1$	$180224$	$1.866375$	$397210600760070242/3536192675535$	$0.94871$	$4.72703$	$[0, 1, 0, -194480, -32821152]$	\(y^2=x^3+x^2-194480x-32821152\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 120.48.0.?, 136.48.0.?, $\ldots$	$[]$
53040.bb1	53040m6	53040.bb	53040m	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.45	2B	$53040$	$192$	$1$	$1$	$1$		$3$	$360448$	$1.866375$	$397210600760070242/3536192675535$	$0.94871$	$4.42584$	$[0, -1, 0, -194480, 32821152]$	\(y^2=x^3-x^2-194480x+32821152\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 120.48.0.?, 136.48.0.?, $\ldots$	$[]$
79560.l1	79560f6	79560.l	79560f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$1.292620754$	$1$		$3$	$1441792$	$2.415680$	$397210600760070242/3536192675535$	$0.94871$	$4.85096$	$[0, 0, 0, -1750323, 884420782]$	\(y^2=x^3-1750323x+884420782\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[(662, 3978)]$
132600.p1	132600ck6	132600.p	132600ck	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{11} \cdot 3 \cdot 5^{7} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$13.58348527$	$1$		$1$	$4325376$	$2.671093$	$397210600760070242/3536192675535$	$0.94871$	$4.90072$	$[0, -1, 0, -4862008, -4092919988]$	\(y^2=x^3-x^2-4862008x-4092919988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 24.24.0-8.n.1.6, $\ldots$	$[(-1135119/31, 23625778/31)]$
159120.bh1	159120dz6	159120.bh	159120dz	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$3.795020618$	$1$		$3$	$2883584$	$2.415680$	$397210600760070242/3536192675535$	$0.94871$	$4.57023$	$[0, 0, 0, -1750323, -884420782]$	\(y^2=x^3-1750323x-884420782\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[(3407, 180830)]$
212160.x1	212160hl6	212160.x	212160hl	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{17} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$53040$	$192$	$1$	$16.94996403$	$1$		$7$	$2883584$	$2.212948$	$397210600760070242/3536192675535$	$0.94871$	$4.26468$	$[0, -1, 0, -777921, -261791295]$	\(y^2=x^3-x^2-777921x-261791295\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 60.12.0-4.c.1.2, 120.48.0.?, $\ldots$	$[(-509, 1428), (1055, 9520)]$
212160.ex1	212160bn5	212160.ex	212160bn	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{17} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$53040$	$192$	$1$	$1$	$4$	$2$	$1$	$2883584$	$2.212948$	$397210600760070242/3536192675535$	$0.94871$	$4.26468$	$[0, 1, 0, -777921, 261791295]$	\(y^2=x^3+x^2-777921x+261791295\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 60.12.0-4.c.1.1, 120.48.0.?, $\ldots$	$[]$
265200.fh1	265200fh5	265200.fh	265200fh	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{11} \cdot 3 \cdot 5^{7} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$1$	$1$		$1$	$8650752$	$2.671093$	$397210600760070242/3536192675535$	$0.94871$	$4.62871$	$[0, 1, 0, -4862008, 4092919988]$	\(y^2=x^3+x^2-4862008x+4092919988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 24.24.0-8.n.1.2, $\ldots$	$[]$
344760.br1	344760br6	344760.br	344760br	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 13^{14} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.3	2B	$53040$	$192$	$1$	$16.56907570$	$4$	$2$	$1$	$30277632$	$3.148849$	$397210600760070242/3536192675535$	$0.94871$	$4.98310$	$[0, 1, 0, -32867176, -71976602320]$	\(y^2=x^3+x^2-32867176x-71976602320\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 52.12.0-4.c.1.1, $\ldots$	$[(-24009869/85, 14511612354/85)]$
397800.cc1	397800cc5	397800.cc	397800cc	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{7} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.98	2B	$53040$	$192$	$1$	$1$	$4$	$2$	$1$	$34603008$	$3.220398$	$397210600760070242/3536192675535$	$0.94871$	$4.99439$	$[0, 0, 0, -43758075, 110552597750]$	\(y^2=x^3-43758075x+110552597750\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 60.12.0-4.c.1.1, 120.48.0.?, $\ldots$	$[]$
450840.g1	450840g6	450840.g	450840g	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{11} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.93	2B	$53040$	$192$	$1$	$10.52562965$	$1$		$1$	$51904512$	$3.282982$	$397210600760070242/3536192675535$	$0.94871$	$5.00406$	$[0, -1, 0, -56204816, -160913091060]$	\(y^2=x^3-x^2-56204816x-160913091060\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 68.12.0-4.c.1.1, 120.48.0.?, $\ldots$	$[(564241/4, 413344273/4)]$