Elliptic curve search results

Results (28 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
2660.b2	2660f1	2660.b	2660f	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$0.315158991$	$1$		$9$	$288$	$-0.250229$	$-1048576/23275$	$0.89298$	$2.57519$	$[0, 1, 0, -5, 28]$	\(y^2=x^3+x^2-5x+28\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(1, 5)]$
10640.bc2	10640bd1	10640.bc	10640bd	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$5.254107762$	$1$		$1$	$1152$	$-0.250229$	$-1048576/23275$	$0.89298$	$2.19018$	$[0, -1, 0, -5, -28]$	\(y^2=x^3-x^2-5x-28\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(421/2, 8595/2)]$
13300.w2	13300l1	13300.w	13300l	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$3.040725162$	$1$		$1$	$6912$	$0.554490$	$-1048576/23275$	$0.89298$	$3.15568$	$[0, -1, 0, -133, 3762]$	\(y^2=x^3-x^2-133x+3762\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(-27/2, 525/2)]$
18620.n2	18620i1	18620.n	18620i	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$13824$	$0.722726$	$-1048576/23275$	$0.89298$	$3.25302$	$[0, -1, 0, -261, -10114]$	\(y^2=x^3-x^2-261x-10114\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
23940.d2	23940g1	23940.d	23940g	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$2.841703847$	$1$		$3$	$6912$	$0.299077$	$-1048576/23275$	$0.89298$	$2.66776$	$[0, 0, 0, -48, -803]$	\(y^2=x^3-48x-803\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(39, 238)]$
42560.j2	42560cl1	42560.j	42560cl	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1.954258047$	$1$		$5$	$9216$	$0.096345$	$-1048576/23275$	$0.89298$	$2.29551$	$[0, 1, 0, -21, -245]$	\(y^2=x^3+x^2-21x-245\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(14, 49)]$
42560.cv2	42560i1	42560.cv	42560i	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.096345$	$-1048576/23275$	$0.89298$	$2.29551$	$[0, -1, 0, -21, 245]$	\(y^2=x^3-x^2-21x+245\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
50540.o2	50540j1	50540.o	50540j	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$4$	$2$	$1$	$103680$	$1.221991$	$-1048576/23275$	$0.89298$	$3.50628$	$[0, -1, 0, -1925, -203350]$	\(y^2=x^3-x^2-1925x-203350\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
53200.o2	53200by1	53200.o	53200by	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$3.203980732$	$1$		$3$	$27648$	$0.554490$	$-1048576/23275$	$0.89298$	$2.75366$	$[0, 1, 0, -133, -3762]$	\(y^2=x^3+x^2-133x-3762\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(718, 19250)]$
74480.j2	74480bj1	74480.j	74480bj	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{8} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1.581456158$	$1$		$3$	$55296$	$0.722726$	$-1048576/23275$	$0.89298$	$2.85103$	$[0, 1, 0, -261, 10114]$	\(y^2=x^3+x^2-261x+10114\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(2, 98)]$
93100.h2	93100bd1	93100.h	93100bd	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.527445$	$-1048576/23275$	$0.89298$	$3.63943$	$[0, 1, 0, -6533, -1277312]$	\(y^2=x^3+x^2-6533x-1277312\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
95760.bz2	95760dq1	95760.bz	95760dq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$2.169592931$	$1$		$3$	$27648$	$0.299077$	$-1048576/23275$	$0.89298$	$2.34532$	$[0, 0, 0, -48, 803]$	\(y^2=x^3-48x+803\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(17, 70)]$
119700.bw2	119700y1	119700.bw	119700y	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$165888$	$1.103796$	$-1048576/23275$	$0.89298$	$3.12642$	$[0, 0, 0, -1200, -100375]$	\(y^2=x^3-1200x-100375\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
167580.bt2	167580k1	167580.bt	167580k	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.272032$	$-1048576/23275$	$0.89298$	$3.20680$	$[0, 0, 0, -2352, 275429]$	\(y^2=x^3-2352x+275429\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
202160.p2	202160d1	202160.p	202160d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$5.300116983$	$1$		$3$	$414720$	$1.221991$	$-1048576/23275$	$0.89298$	$3.10841$	$[0, 1, 0, -1925, 203350]$	\(y^2=x^3+x^2-1925x+203350\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(-275/2, 995/2)]$
212800.bu2	212800ft1	212800.bu	212800ft	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 5^{8} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1.316580220$	$1$		$5$	$221184$	$0.901064$	$-1048576/23275$	$0.89298$	$2.78150$	$[0, 1, 0, -533, 29563]$	\(y^2=x^3+x^2-533x+29563\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(-2, 175)]$
212800.jg2	212800ej1	212800.jg	212800ej	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 5^{8} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$221184$	$0.901064$	$-1048576/23275$	$0.89298$	$2.78150$	$[0, -1, 0, -533, -29563]$	\(y^2=x^3-x^2-533x-29563\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
252700.k2	252700k1	252700.k	252700k	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{2} \cdot 19^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$3.179455223$	$1$		$17$	$2488320$	$2.026711$	$-1048576/23275$	$0.89298$	$3.82891$	$[0, 1, 0, -48133, -25515012]$	\(y^2=x^3+x^2-48133x-25515012\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(728, 18050), (367, 2527)]$
297920.bf2	297920bf1	297920.bf	297920bf	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 5^{2} \cdot 7^{8} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$4.111234099$	$1$		$3$	$442368$	$1.069300$	$-1048576/23275$	$0.89298$	$2.86741$	$[0, 1, 0, -1045, -81957]$	\(y^2=x^3+x^2-1045x-81957\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(926, 28175)]$
297920.hg2	297920hg1	297920.hg	297920hg	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 5^{2} \cdot 7^{8} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$4.607158385$	$1$		$1$	$442368$	$1.069300$	$-1048576/23275$	$0.89298$	$2.86741$	$[0, -1, 0, -1045, 81957]$	\(y^2=x^3-x^2-1045x+81957\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(388/3, 9163/3)]$
321860.i2	321860i1	321860.i	321860i	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$414720$	$0.948719$	$-1048576/23275$	$0.89298$	$2.73584$	$[0, 1, 0, -645, -39800]$	\(y^2=x^3+x^2-645x-39800\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
353780.g2	353780g1	353780.g	353780g	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{8} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$4976640$	$2.194946$	$-1048576/23275$	$0.89298$	$3.88608$	$[0, 1, 0, -94341, 69937720]$	\(y^2=x^3+x^2-94341x+69937720\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
372400.jg2	372400jg1	372400.jg	372400jg	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{8} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$7.540560167$	$1$		$1$	$1327104$	$1.527445$	$-1048576/23275$	$0.89298$	$3.24612$	$[0, -1, 0, -6533, 1277312]$	\(y^2=x^3-x^2-6533x+1277312\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(43648/17, 9466800/17)]$
383040.jj2	383040jj1	383040.jj	383040jj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$221184$	$0.645651$	$-1048576/23275$	$0.89298$	$2.41591$	$[0, 0, 0, -192, -6424]$	\(y^2=x^3-192x-6424\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
383040.nm2	383040nm1	383040.nm	383040nm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$2.532305542$	$1$		$5$	$221184$	$0.645651$	$-1048576/23275$	$0.89298$	$2.41591$	$[0, 0, 0, -192, 6424]$	\(y^2=x^3-192x+6424\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(-15, 77)]$
449540.f2	449540f1	449540.f	449540f	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$663552$	$1.032246$	$-1048576/23275$	$0.89298$	$2.74262$	$[0, 1, 0, -901, 65040]$	\(y^2=x^3+x^2-901x+65040\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$
454860.j2	454860j1	454860.j	454860j	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 19^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1.869503554$	$1$		$19$	$2488320$	$1.771297$	$-1048576/23275$	$0.89298$	$3.42089$	$[0, 0, 0, -17328, 5507777]$	\(y^2=x^3-17328x+5507777\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[(-76, 2527), (1007, 31768)]$
478800.ed2	478800ed1	478800.ed	478800ed	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2660$	$12$	$0$	$1$	$1$		$1$	$663552$	$1.103796$	$-1048576/23275$	$0.89298$	$2.79504$	$[0, 0, 0, -1200, 100375]$	\(y^2=x^3-1200x+100375\)	2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.?	$[]$