Elliptic curve search results

Results (32 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
1666.k1	1666i1	1666.k	1666i	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$0.226115444$	$1$		$8$	$2184$	$0.963688$	$1296351/139264$	$1.08366$	$4.69936$	$[1, -1, 1, 407, -43095]$	\(y^2+xy+y=x^3-x^2+407x-43095\)	136.2.0.?	$[(135, 1500)]$
1666.l1	1666j1	1666.l	1666j	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$0.168287453$	$1$		$6$	$312$	$-0.009267$	$1296351/139264$	$1.08366$	$3.12547$	$[1, -1, 1, 8, 123]$	\(y^2+xy+y=x^3-x^2+8x+123\)	136.2.0.?	$[(-3, 9)]$
13328.m1	13328m1	13328.m	13328m	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$6.795385306$	$1$		$0$	$52416$	$1.656836$	$1296351/139264$	$1.08366$	$4.54624$	$[0, 0, 0, 6517, 2751546]$	\(y^2=x^3+6517x+2751546\)	136.2.0.?	$[(-271/2, 11311/2)]$
13328.o1	13328n1	13328.o	13328n	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$4.467002657$	$1$		$2$	$7488$	$0.683880$	$1296351/139264$	$1.08366$	$3.31694$	$[0, 0, 0, 133, -8022]$	\(y^2=x^3+133x-8022\)	136.2.0.?	$[(74, 638)]$
14994.s1	14994be1	14994.s	14994be	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$9984$	$0.540039$	$1296351/139264$	$1.08366$	$3.09679$	$[1, -1, 0, 75, -3403]$	\(y^2+xy=x^3-x^2+75x-3403\)	136.2.0.?	$[]$
14994.be1	14994l1	14994.be	14994l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$69888$	$1.512995$	$1296351/139264$	$1.08366$	$4.31104$	$[1, -1, 0, 3666, 1159892]$	\(y^2+xy=x^3-x^2+3666x+1159892\)	136.2.0.?	$[]$
28322.x1	28322s1	28322.x	28322s	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 7^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$0.674329303$	$1$		$4$	$89856$	$1.407339$	$1296351/139264$	$1.08366$	$3.91991$	$[1, -1, 1, 2402, 615213]$	\(y^2+xy+y=x^3-x^2+2402x+615213\)	136.2.0.?	$[(81, 1115)]$
28322.ba1	28322n1	28322.ba	28322n	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 7^{8} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$628992$	$2.380295$	$1296351/139264$	$1.08366$	$5.05882$	$[1, -1, 1, 117713, -211253577]$	\(y^2+xy+y=x^3-x^2+117713x-211253577\)	136.2.0.?	$[]$
41650.n1	41650b1	41650.n	41650b	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 5^{6} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$13.94769031$	$1$		$0$	$305760$	$1.768408$	$1296351/139264$	$1.08366$	$4.18512$	$[1, -1, 0, 10183, -5376659]$	\(y^2+xy=x^3-x^2+10183x-5376659\)	136.2.0.?	$[(851775/49, 748713029/49)]$
41650.o1	41650s1	41650.o	41650s	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 5^{6} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$4.178248144$	$1$		$2$	$43680$	$0.795452$	$1296351/139264$	$1.08366$	$3.08750$	$[1, -1, 0, 208, 15616]$	\(y^2+xy=x^3-x^2+208x+15616\)	136.2.0.?	$[(45, 316)]$
53312.bd1	53312br1	53312.bd	53312br	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$5.498670106$	$1$		$2$	$59904$	$1.030455$	$1296351/139264$	$1.08366$	$3.27657$	$[0, 0, 0, 532, -64176]$	\(y^2=x^3+532x-64176\)	136.2.0.?	$[(464, 10004)]$
53312.bg1	53312m1	53312.bg	53312m	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$59904$	$1.030455$	$1296351/139264$	$1.08366$	$3.27657$	$[0, 0, 0, 532, 64176]$	\(y^2=x^3+532x+64176\)	136.2.0.?	$[]$
53312.bj1	53312bp1	53312.bj	53312bp	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$9.939907733$	$1$		$0$	$419328$	$2.003410$	$1296351/139264$	$1.08366$	$4.34930$	$[0, 0, 0, 26068, 22012368]$	\(y^2=x^3+26068x+22012368\)	136.2.0.?	$[(36656/5, 7084804/5)]$
53312.bm1	53312k1	53312.bm	53312k	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$419328$	$2.003410$	$1296351/139264$	$1.08366$	$4.34930$	$[0, 0, 0, 26068, -22012368]$	\(y^2=x^3+26068x-22012368\)	136.2.0.?	$[]$
119952.cc1	119952gk1	119952.cc	119952gk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$0.970522460$	$1$		$4$	$239616$	$1.233187$	$1296351/139264$	$1.08366$	$3.25739$	$[0, 0, 0, 1197, 216594]$	\(y^2=x^3+1197x+216594\)	136.2.0.?	$[(25, 512)]$
119952.du1	119952dk1	119952.du	119952dk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$6.748395923$	$1$		$0$	$1677312$	$2.206142$	$1296351/139264$	$1.08366$	$4.25573$	$[0, 0, 0, 58653, -74291742]$	\(y^2=x^3+58653x-74291742\)	136.2.0.?	$[(25321/5, 4000256/5)]$
201586.u1	201586cv1	201586.u	201586cv	$1$	$1$	\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{13} \cdot 7^{8} \cdot 11^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$2358720$	$2.162636$	$1296351/139264$	$1.08366$	$4.03211$	$[1, -1, 0, 49285, 57211237]$	\(y^2+xy=x^3-x^2+49285x+57211237\)	136.2.0.?	$[]$
201586.v1	201586cw1	201586.v	201586cw	$1$	$1$	\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{13} \cdot 7^{2} \cdot 11^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$336960$	$1.189680$	$1296351/139264$	$1.08366$	$3.07620$	$[1, -1, 0, 1006, -167084]$	\(y^2+xy=x^3-x^2+1006x-167084\)	136.2.0.?	$[]$
226576.br1	226576bd1	226576.br	226576bd	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{25} \cdot 7^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$5.302710158$	$1$		$0$	$2156544$	$2.100487$	$1296351/139264$	$1.08366$	$3.93342$	$[0, 0, 0, 38437, -39412086]$	\(y^2=x^3+38437x-39412086\)	136.2.0.?	$[(2465/2, 118201/2)]$
226576.bw1	226576bh1	226576.bw	226576bh	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{25} \cdot 7^{8} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$15095808$	$3.073441$	$1296351/139264$	$1.08366$	$4.88027$	$[0, 0, 0, 1883413, 13518345498]$	\(y^2=x^3+1883413x+13518345498\)	136.2.0.?	$[]$
254898.bc1	254898bc1	254898.bc	254898bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 7^{8} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$20127744$	$2.929600$	$1296351/139264$	$1.08366$	$4.69544$	$[1, -1, 0, 1059420, 5702787152]$	\(y^2+xy=x^3-x^2+1059420x+5702787152\)	136.2.0.?	$[]$
254898.cc1	254898cc1	254898.cc	254898cc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 7^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$2.791461765$	$1$		$0$	$2875392$	$1.956646$	$1296351/139264$	$1.08366$	$3.75754$	$[1, -1, 0, 21621, -16632379]$	\(y^2+xy=x^3-x^2+21621x-16632379\)	136.2.0.?	$[(919/2, 4283/2)]$
281554.z1	281554z1	281554.z	281554z	$1$	$1$	\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{13} \cdot 7^{2} \cdot 13^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$673920$	$1.273207$	$1296351/139264$	$1.08366$	$3.07417$	$[1, -1, 0, 1405, 275029]$	\(y^2+xy=x^3-x^2+1405x+275029\)	136.2.0.?	$[]$
281554.ba1	281554ba1	281554.ba	281554ba	$1$	$1$	\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{13} \cdot 7^{8} \cdot 13^{6} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$9$	$3$	$0$	$4717440$	$2.246162$	$1296351/139264$	$1.08366$	$4.00463$	$[1, -1, 0, 68836, -94472624]$	\(y^2+xy=x^3-x^2+68836x-94472624\)	136.2.0.?	$[]$
333200.ek1	333200ek1	333200.ek	333200ek	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 5^{6} \cdot 7^{8} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$8.397374800$	$1$		$6$	$7338240$	$2.461555$	$1296351/139264$	$1.08366$	$4.15485$	$[0, 0, 0, 162925, 343943250]$	\(y^2=x^3+162925x+343943250\)	136.2.0.?	$[(9849, 978432), (-391, 14848)]$
333200.em1	333200em1	333200.em	333200em	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 5^{6} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$4$	$2$	$0$	$1048320$	$1.488600$	$1296351/139264$	$1.08366$	$3.23671$	$[0, 0, 0, 3325, -1002750]$	\(y^2=x^3+3325x-1002750\)	136.2.0.?	$[]$
374850.pe1	374850pe1	374850.pe	374850pe	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$9784320$	$2.317715$	$1296351/139264$	$1.08366$	$3.98223$	$[1, -1, 1, 91645, 145078147]$	\(y^2+xy+y=x^3-x^2+91645x+145078147\)	136.2.0.?	$[]$
374850.pm1	374850pm1	374850.pm	374850pm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$1397760$	$1.344759$	$1296351/139264$	$1.08366$	$3.07252$	$[1, -1, 1, 1870, -423503]$	\(y^2+xy+y=x^3-x^2+1870x-423503\)	136.2.0.?	$[]$
479808.fg1	479808fg1	479808.fg	479808fg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$13418496$	$2.552715$	$1296351/139264$	$1.08366$	$4.12266$	$[0, 0, 0, 234612, 594333936]$	\(y^2=x^3+234612x+594333936\)	136.2.0.?	$[]$
479808.im1	479808im1	479808.im	479808im	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{6} \cdot 7^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$10.60134288$	$1$		$0$	$13418496$	$2.552715$	$1296351/139264$	$1.08366$	$4.12266$	$[0, 0, 0, 234612, -594333936]$	\(y^2=x^3+234612x-594333936\)	136.2.0.?	$[(8675874/31, 25581090816/31)]$
479808.jv1	479808jv1	479808.jv	479808jv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$1$	$1$		$0$	$1916928$	$1.579760$	$1296351/139264$	$1.08366$	$3.23011$	$[0, 0, 0, 4788, -1732752]$	\(y^2=x^3+4788x-1732752\)	136.2.0.?	$[]$
479808.mz1	479808mz1	479808.mz	479808mz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{6} \cdot 7^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$136$	$2$	$0$	$3.803814442$	$1$		$0$	$1916928$	$1.579760$	$1296351/139264$	$1.08366$	$3.23011$	$[0, 0, 0, 4788, 1732752]$	\(y^2=x^3+4788x+1732752\)	136.2.0.?	$[(3474/7, 534528/7)]$