Elliptic curve search results

Results (40 matches)

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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
201.a1	201a1	201.a	201a	$1$	$1$	\( 3 \cdot 67 \)	\( - 3^{2} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$134$	$2$	$0$	$0.106277237$	$1$		$10$	$12$	$-0.780233$	$512000/603$	$0.80036$	$2.48536$	$[0, -1, 1, 2, 0]$	\(y^2+y=x^3-x^2+2x\)	134.2.0.?	$[(1, 1)]$
603.f1	603d1	603.f	603d	$1$	$1$	\( 3^{2} \cdot 67 \)	\( - 3^{8} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$96$	$-0.230927$	$512000/603$	$0.80036$	$3.08849$	$[0, 0, 1, 15, -23]$	\(y^2+y=x^3+15x-23\)	134.2.0.?	$[ ]$
3216.j1	3216i1	3216.j	3216i	$1$	$1$	\( 2^{4} \cdot 3 \cdot 67 \)	\( - 2^{12} \cdot 3^{2} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$480$	$-0.087086$	$512000/603$	$0.80036$	$2.66204$	$[0, 1, 0, 27, -45]$	\(y^2=x^3+x^2+27x-45\)	134.2.0.?	$[ ]$
5025.i1	5025g1	5025.i	5025g	$1$	$1$	\( 3 \cdot 5^{2} \cdot 67 \)	\( - 3^{2} \cdot 5^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1.301174671$	$1$		$0$	$1728$	$0.024485$	$512000/603$	$0.80036$	$2.67974$	$[0, 1, 1, 42, 119]$	\(y^2+y=x^3+x^2+42x+119\)	134.2.0.?	$[(-3/2, 71/2)]$
9648.j1	9648n1	9648.j	9648n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 67 \)	\( - 2^{12} \cdot 3^{8} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.462220$	$512000/603$	$0.80036$	$3.06175$	$[0, 0, 0, 240, 1456]$	\(y^2=x^3+240x+1456\)	134.2.0.?	$[ ]$
9849.b1	9849n1	9849.b	9849n	$1$	$1$	\( 3 \cdot 7^{2} \cdot 67 \)	\( - 3^{2} \cdot 7^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$0.592289495$	$1$		$4$	$4608$	$0.192721$	$512000/603$	$0.80036$	$2.70318$	$[0, 1, 1, 82, -262]$	\(y^2+y=x^3+x^2+82x-262\)	134.2.0.?	$[(16, 73)]$
12864.h1	12864y1	12864.h	12864y	$1$	$1$	\( 2^{6} \cdot 3 \cdot 67 \)	\( - 2^{6} \cdot 3^{2} \cdot 67 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1.404175143$	$1$		$6$	$960$	$-0.433660$	$512000/603$	$0.80036$	$1.83250$	$[0, -1, 0, 7, -9]$	\(y^2=x^3-x^2+7x-9\)	134.2.0.?	$[(2, 3), (5/2, 3/2)]$
12864.bd1	12864r1	12864.bd	12864r	$1$	$1$	\( 2^{6} \cdot 3 \cdot 67 \)	\( - 2^{6} \cdot 3^{2} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1.209715850$	$1$		$2$	$960$	$-0.433660$	$512000/603$	$0.80036$	$1.83250$	$[0, 1, 0, 7, 9]$	\(y^2=x^3+x^2+7x+9\)	134.2.0.?	$[(0, 3)]$
13467.k1	13467k1	13467.k	13467k	$1$	$1$	\( 3 \cdot 67^{2} \)	\( - 3^{2} \cdot 67^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$4.088841896$	$1$		$0$	$53856$	$1.322113$	$512000/603$	$0.80036$	$4.03963$	$[0, 1, 1, 7482, -250927]$	\(y^2+y=x^3+x^2+7482x-250927\)	134.2.0.?	$[(5853/14, 12095/14)]$
15075.a1	15075k1	15075.a	15075k	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 67 \)	\( - 3^{8} \cdot 5^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$0.797314291$	$1$		$4$	$13824$	$0.573792$	$512000/603$	$0.80036$	$3.05889$	$[0, 0, 1, 375, -2844]$	\(y^2+y=x^3+375x-2844\)	134.2.0.?	$[(20, 112)]$
24321.p1	24321h1	24321.p	24321h	$1$	$1$	\( 3 \cdot 11^{2} \cdot 67 \)	\( - 3^{2} \cdot 11^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$12960$	$0.418714$	$512000/603$	$0.80036$	$2.72975$	$[0, -1, 1, 202, -1189]$	\(y^2+y=x^3-x^2+202x-1189\)	134.2.0.?	$[ ]$
29547.bb1	29547u1	29547.bb	29547u	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 67 \)	\( - 3^{8} \cdot 7^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$3.753256734$	$1$		$0$	$36864$	$0.742027$	$512000/603$	$0.80036$	$3.05504$	$[0, 0, 1, 735, 7803]$	\(y^2+y=x^3+735x+7803\)	134.2.0.?	$[(833/2, 24251/2)]$
33969.e1	33969d1	33969.e	33969d	$1$	$1$	\( 3 \cdot 13^{2} \cdot 67 \)	\( - 3^{2} \cdot 13^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$25920$	$0.502241$	$512000/603$	$0.80036$	$2.73840$	$[0, -1, 1, 282, 1757]$	\(y^2+y=x^3-x^2+282x+1757\)	134.2.0.?	$[ ]$
38592.bd1	38592v1	38592.bd	38592v	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 67 \)	\( - 2^{6} \cdot 3^{8} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$2.226218960$	$1$		$2$	$7680$	$0.115646$	$512000/603$	$0.80036$	$2.26604$	$[0, 0, 0, 60, -182]$	\(y^2=x^3+60x-182\)	134.2.0.?	$[(3, 5)]$
38592.bi1	38592bq1	38592.bi	38592bq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 67 \)	\( - 2^{6} \cdot 3^{8} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$2.241448649$	$1$		$2$	$7680$	$0.115646$	$512000/603$	$0.80036$	$2.26604$	$[0, 0, 0, 60, 182]$	\(y^2=x^3+60x+182\)	134.2.0.?	$[(-1, 11)]$
40401.a1	40401q1	40401.a	40401q	$1$	$1$	\( 3^{2} \cdot 67^{2} \)	\( - 3^{8} \cdot 67^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1.070954430$	$1$		$0$	$430848$	$1.871418$	$512000/603$	$0.80036$	$4.24268$	$[0, 0, 1, 67335, 6842358]$	\(y^2+y=x^3+67335x+6842358\)	134.2.0.?	$[(737/2, 40397/2)]$
58089.b1	58089g1	58089.b	58089g	$1$	$1$	\( 3 \cdot 17^{2} \cdot 67 \)	\( - 3^{2} \cdot 17^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$52800$	$0.636373$	$512000/603$	$0.80036$	$2.75120$	$[0, 1, 1, 482, 4300]$	\(y^2+y=x^3+x^2+482x+4300\)	134.2.0.?	$[ ]$
72561.o1	72561o1	72561.o	72561o	$1$	$1$	\( 3 \cdot 19^{2} \cdot 67 \)	\( - 3^{2} \cdot 19^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$81000$	$0.691986$	$512000/603$	$0.80036$	$2.75614$	$[0, 1, 1, 602, -5579]$	\(y^2+y=x^3+x^2+602x-5579\)	134.2.0.?	$[ ]$
72963.a1	72963q1	72963.a	72963q	$1$	$1$	\( 3^{2} \cdot 11^{2} \cdot 67 \)	\( - 3^{8} \cdot 11^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$0.981414226$	$1$		$4$	$103680$	$0.968020$	$512000/603$	$0.80036$	$3.05059$	$[0, 0, 1, 1815, 30280]$	\(y^2+y=x^3+1815x+30280\)	134.2.0.?	$[(55, 544)]$
80400.bf1	80400bq1	80400.bf	80400bq	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 67 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$69120$	$0.717632$	$512000/603$	$0.80036$	$2.75836$	$[0, -1, 0, 667, -6963]$	\(y^2=x^3-x^2+667x-6963\)	134.2.0.?	$[ ]$
101907.a1	101907k1	101907.a	101907k	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 67 \)	\( - 3^{8} \cdot 13^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1.621324305$	$1$		$2$	$207360$	$1.051548$	$512000/603$	$0.80036$	$3.04913$	$[0, 0, 1, 2535, -49982]$	\(y^2+y=x^3+2535x-49982\)	134.2.0.?	$[(169, 2281)]$
106329.a1	106329c1	106329.a	106329c	$1$	$1$	\( 3 \cdot 23^{2} \cdot 67 \)	\( - 3^{2} \cdot 23^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$3.258845521$	$1$		$2$	$151800$	$0.787514$	$512000/603$	$0.80036$	$2.76419$	$[0, -1, 1, 882, -10546]$	\(y^2+y=x^3-x^2+882x-10546\)	134.2.0.?	$[(24, 154)]$
157584.v1	157584bo1	157584.v	157584bo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 67 \)	\( - 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$184320$	$0.885869$	$512000/603$	$0.80036$	$2.77194$	$[0, -1, 0, 1307, 18061]$	\(y^2=x^3-x^2+1307x+18061\)	134.2.0.?	$[ ]$
169041.c1	169041c1	169041.c	169041c	$1$	$1$	\( 3 \cdot 29^{2} \cdot 67 \)	\( - 3^{2} \cdot 29^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$9$	$3$	$0$	$302064$	$0.903415$	$512000/603$	$0.80036$	$2.77327$	$[0, 1, 1, 1402, 21017]$	\(y^2+y=x^3+x^2+1402x+21017\)	134.2.0.?	$[ ]$
174267.r1	174267r1	174267.r	174267r	$1$	$1$	\( 3^{2} \cdot 17^{2} \cdot 67 \)	\( - 3^{8} \cdot 17^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$422400$	$1.185678$	$512000/603$	$0.80036$	$3.04694$	$[0, 0, 1, 4335, -111771]$	\(y^2+y=x^3+4335x-111771\)	134.2.0.?	$[ ]$
193161.a1	193161a1	193161.a	193161a	$1$	$1$	\( 3 \cdot 31^{2} \cdot 67 \)	\( - 3^{2} \cdot 31^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$2.494319677$	$1$		$2$	$362880$	$0.936760$	$512000/603$	$0.80036$	$2.77576$	$[0, 1, 1, 1602, -24568]$	\(y^2+y=x^3+x^2+1602x-24568\)	134.2.0.?	$[(630, 15856)]$
215472.i1	215472u1	215472.i	215472u	$1$	$1$	\( 2^{4} \cdot 3 \cdot 67^{2} \)	\( - 2^{12} \cdot 3^{2} \cdot 67^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$3.409290846$	$1$		$0$	$2154240$	$2.015259$	$512000/603$	$0.80036$	$3.80491$	$[0, -1, 0, 119707, 16179021]$	\(y^2=x^3-x^2+119707x+16179021\)	134.2.0.?	$[(2525/2, 148137/2)]$
217683.b1	217683b1	217683.b	217683b	$1$	$1$	\( 3^{2} \cdot 19^{2} \cdot 67 \)	\( - 3^{8} \cdot 19^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$648000$	$1.241293$	$512000/603$	$0.80036$	$3.04609$	$[0, 0, 1, 5415, 156042]$	\(y^2+y=x^3+5415x+156042\)	134.2.0.?	$[ ]$
241200.db1	241200db1	241200.db	241200db	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 67 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$2.589568612$	$1$		$2$	$552960$	$1.266939$	$512000/603$	$0.80036$	$3.04571$	$[0, 0, 0, 6000, 182000]$	\(y^2=x^3+6000x+182000\)	134.2.0.?	$[(145, 2025)]$
246225.cl1	246225cl1	246225.cl	246225cl	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 67 \)	\( - 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$2.892466441$	$1$		$0$	$663552$	$0.997440$	$512000/603$	$0.80036$	$2.78014$	$[0, -1, 1, 2042, -36807]$	\(y^2+y=x^3-x^2+2042x-36807\)	134.2.0.?	$[(577/4, 18343/4)]$
275169.d1	275169d1	275169.d	275169d	$1$	$1$	\( 3 \cdot 37^{2} \cdot 67 \)	\( - 3^{2} \cdot 37^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$9.515509885$	$1$		$0$	$619920$	$1.025225$	$512000/603$	$0.80036$	$2.78209$	$[0, -1, 1, 2282, 41919]$	\(y^2+y=x^3-x^2+2282x+41919\)	134.2.0.?	$[(13729/16, 2299249/16)]$
318987.j1	318987j1	318987.j	318987j	$1$	$1$	\( 3^{2} \cdot 23^{2} \cdot 67 \)	\( - 3^{8} \cdot 23^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$1214400$	$1.336819$	$512000/603$	$0.80036$	$3.04470$	$[0, 0, 1, 7935, 276799]$	\(y^2+y=x^3+7935x+276799\)	134.2.0.?	$[ ]$
321600.di1	321600di1	321600.di	321600di	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$2.192438623$	$1$		$2$	$138240$	$0.371059$	$512000/603$	$0.80036$	$2.12885$	$[0, -1, 0, 167, 787]$	\(y^2=x^3-x^2+167x+787\)	134.2.0.?	$[(-2, 21)]$
321600.gj1	321600gj1	321600.gj	321600gj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 67 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$138240$	$0.371059$	$512000/603$	$0.80036$	$2.12885$	$[0, 1, 0, 167, -787]$	\(y^2=x^3+x^2+167x-787\)	134.2.0.?	$[ ]$
336675.d1	336675d1	336675.d	336675d	$1$	$1$	\( 3 \cdot 5^{2} \cdot 67^{2} \)	\( - 3^{2} \cdot 5^{6} \cdot 67^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1$	$1$		$0$	$7755264$	$2.126831$	$512000/603$	$0.80036$	$3.77668$	$[0, -1, 1, 187042, -31739932]$	\(y^2+y=x^3-x^2+187042x-31739932\)	134.2.0.?	$[ ]$
337881.c1	337881c1	337881.c	337881c	$1$	$1$	\( 3 \cdot 41^{2} \cdot 67 \)	\( - 3^{2} \cdot 41^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$2.609083435$	$1$		$0$	$846720$	$1.076553$	$512000/603$	$0.80036$	$2.78561$	$[0, 1, 1, 2802, 59006]$	\(y^2+y=x^3+x^2+2802x+59006\)	134.2.0.?	$[(-167/3, 827/3)]$
371649.d1	371649d1	371649.d	371649d	$1$	$1$	\( 3 \cdot 43^{2} \cdot 67 \)	\( - 3^{2} \cdot 43^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$10.29750248$	$1$		$0$	$957600$	$1.100367$	$512000/603$	$0.80036$	$2.78720$	$[0, 1, 1, 3082, -65965]$	\(y^2+y=x^3+x^2+3082x-65965\)	134.2.0.?	$[(1250269/30, 1399581503/30)]$
389136.cs1	389136cs1	389136.cs	389136cs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 67 \)	\( - 2^{12} \cdot 3^{2} \cdot 11^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$4.648475454$	$1$		$0$	$518400$	$1.111860$	$512000/603$	$0.80036$	$2.78796$	$[0, 1, 0, 3227, 72851]$	\(y^2=x^3+x^2+3227x+72851\)	134.2.0.?	$[(494/5, 47553/5)]$
444009.a1	444009a1	444009.a	444009a	$1$	$1$	\( 3 \cdot 47^{2} \cdot 67 \)	\( - 3^{2} \cdot 47^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$4.012043479$	$1$		$2$	$1227096$	$1.144840$	$512000/603$	$0.80036$	$2.79011$	$[0, -1, 1, 3682, -88708]$	\(y^2+y=x^3-x^2+3682x-88708\)	134.2.0.?	$[(53, 502)]$
472752.dn1	472752dn1	472752.dn	472752dn	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 67 \)	\( - 2^{12} \cdot 3^{8} \cdot 7^{6} \cdot 67 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$134$	$2$	$0$	$1.859752735$	$1$		$2$	$1474560$	$1.435175$	$512000/603$	$0.80036$	$3.04336$	$[0, 0, 0, 11760, -499408]$	\(y^2=x^3+11760x-499408\)	134.2.0.?	$[(49, 441)]$

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