Elliptic curve search results

Results (20 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
1007.a1	1007a1	1007.a	1007a	$1$	$1$	\( 19 \cdot 53 \)	\( - 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$38$	$2$	$0$	$1.565031016$	$1$		$0$	$276$	$0.085908$	$25102282752/19266931$	$0.88962$	$3.46307$	$[0, 0, 1, 61, -105]$	\(y^2+y=x^3+61x-105\)	38.2.0.a.1	$[(9/2, 49/2)]$
9063.a1	9063e1	9063.a	9063e	$1$	$1$	\( 3^{2} \cdot 19 \cdot 53 \)	\( - 3^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.812763779$	$1$		$4$	$8832$	$0.635214$	$25102282752/19266931$	$0.88962$	$3.35141$	$[0, 0, 1, 549, 2828]$	\(y^2+y=x^3+549x+2828\)	38.2.0.a.1	$[(33, 238)]$
16112.f1	16112g1	16112.f	16112g	$1$	$1$	\( 2^{4} \cdot 19 \cdot 53 \)	\( - 2^{12} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.800604937$	$1$		$2$	$11040$	$0.779055$	$25102282752/19266931$	$0.88962$	$3.33054$	$[0, 0, 0, 976, 6704]$	\(y^2=x^3+976x+6704\)	38.2.0.a.1	$[(97, 1007)]$
19133.a1	19133b1	19133.a	19133b	$1$	$1$	\( 19^{2} \cdot 53 \)	\( - 19^{9} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.534991605$	$1$		$4$	$99360$	$1.558126$	$25102282752/19266931$	$0.88962$	$4.22073$	$[0, 0, 1, 22021, 718480]$	\(y^2+y=x^3+22021x+718480\)	38.2.0.a.1	$[(190, 3429)]$
25175.a1	25175b1	25175.a	25175b	$1$	$1$	\( 5^{2} \cdot 19 \cdot 53 \)	\( - 5^{6} \cdot 19^{3} \cdot 53^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$29808$	$0.890627$	$25102282752/19266931$	$0.88962$	$3.31598$	$[0, 0, 1, 1525, -13094]$	\(y^2+y=x^3+1525x-13094\)	38.2.0.a.1	$[]$
49343.c1	49343c1	49343.c	49343c	$1$	$1$	\( 7^{2} \cdot 19 \cdot 53 \)	\( - 7^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$4.720836637$	$1$		$0$	$104328$	$1.058863$	$25102282752/19266931$	$0.88962$	$3.29630$	$[0, 0, 1, 2989, 35929]$	\(y^2+y=x^3+2989x+35929\)	38.2.0.a.1	$[(-1151/10, 507/10)]$
53371.a1	53371b1	53371.a	53371b	$1$	$1$	\( 19 \cdot 53^{2} \)	\( - 19^{3} \cdot 53^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$775008$	$2.071053$	$25102282752/19266931$	$0.88962$	$4.38841$	$[0, 0, 1, 171349, -15594866]$	\(y^2+y=x^3+171349x-15594866\)	38.2.0.a.1	$[]$
64448.h1	64448h1	64448.h	64448h	$1$	$1$	\( 2^{6} \cdot 19 \cdot 53 \)	\( - 2^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.218076741$	$1$		$0$	$22080$	$0.432481$	$25102282752/19266931$	$0.88962$	$2.53802$	$[0, 0, 0, 244, -838]$	\(y^2=x^3+244x-838\)	38.2.0.a.1	$[(67/3, 1007/3)]$
64448.i1	64448j1	64448.i	64448j	$1$	$1$	\( 2^{6} \cdot 19 \cdot 53 \)	\( - 2^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$4.316030318$	$1$		$0$	$22080$	$0.432481$	$25102282752/19266931$	$0.88962$	$2.53802$	$[0, 0, 0, 244, 838]$	\(y^2=x^3+244x+838\)	38.2.0.a.1	$[(463/3, 10441/3)]$
121847.a1	121847f1	121847.a	121847f	$1$	$1$	\( 11^{2} \cdot 19 \cdot 53 \)	\( - 11^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.692782161$	$1$		$6$	$372600$	$1.284855$	$25102282752/19266931$	$0.88962$	$3.27343$	$[0, 0, 1, 7381, 139422]$	\(y^2+y=x^3+7381x+139422\)	38.2.0.a.1	$[(15, 503)]$
145008.cn1	145008y1	145008.cn	145008y	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 53 \)	\( - 2^{12} \cdot 3^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$2.578476518$	$1$		$0$	$353280$	$1.328362$	$25102282752/19266931$	$0.88962$	$3.26943$	$[0, 0, 0, 8784, -181008]$	\(y^2=x^3+8784x-181008\)	38.2.0.a.1	$[(1857/2, 81567/2)]$
170183.a1	170183a1	170183.a	170183a	$1$	$1$	\( 13^{2} \cdot 19 \cdot 53 \)	\( - 13^{6} \cdot 19^{3} \cdot 53^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.991084112$	$1$		$4$	$649152$	$1.368382$	$25102282752/19266931$	$0.88962$	$3.26585$	$[0, 0, 1, 10309, -230136]$	\(y^2+y=x^3+10309x-230136\)	38.2.0.a.1	$[(117, 1605), (753/2, 23157/2)]$
172197.j1	172197j1	172197.j	172197j	$1$	$1$	\( 3^{2} \cdot 19^{2} \cdot 53 \)	\( - 3^{6} \cdot 19^{9} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$7.249506380$	$1$		$0$	$3179520$	$2.107433$	$25102282752/19266931$	$0.88962$	$3.99825$	$[0, 0, 1, 198189, -19398967]$	\(y^2+y=x^3+198189x-19398967\)	38.2.0.a.1	$[(1665217/22, 2166252069/22)]$
226575.w1	226575w1	226575.w	226575w	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( - 3^{6} \cdot 5^{6} \cdot 19^{3} \cdot 53^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$953856$	$1.439932$	$25102282752/19266931$	$0.88962$	$3.25968$	$[0, 0, 1, 13725, 353531]$	\(y^2+y=x^3+13725x+353531\)	38.2.0.a.1	$[]$
291023.f1	291023f1	291023.f	291023f	$1$	$1$	\( 17^{2} \cdot 19 \cdot 53 \)	\( - 17^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$32.87031528$	$1$		$0$	$1391040$	$1.502514$	$25102282752/19266931$	$0.88962$	$3.25451$	$[0, 0, 1, 17629, -514637]$	\(y^2+y=x^3+17629x-514637\)	38.2.0.a.1	$[(777408358907209/2559950, 30216988710904996374927/2559950)]$
306128.m1	306128m1	306128.m	306128m	$1$	$1$	\( 2^{4} \cdot 19^{2} \cdot 53 \)	\( - 2^{12} \cdot 19^{9} \cdot 53^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$3974400$	$2.251274$	$25102282752/19266931$	$0.88962$	$3.95278$	$[0, 0, 0, 352336, -45982736]$	\(y^2=x^3+352336x-45982736\)	38.2.0.a.1	$[]$
402800.n1	402800n1	402800.n	402800n	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( - 2^{12} \cdot 5^{6} \cdot 19^{3} \cdot 53^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$1192320$	$1.583775$	$25102282752/19266931$	$0.88962$	$3.24810$	$[0, 0, 0, 24400, 838000]$	\(y^2=x^3+24400x+838000\)	38.2.0.a.1	$[]$
444087.a1	444087a1	444087.a	444087a	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 19 \cdot 53 \)	\( - 3^{6} \cdot 7^{6} \cdot 19^{3} \cdot 53^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.802083060$	$1$		$4$	$3338496$	$1.608170$	$25102282752/19266931$	$0.88962$	$3.24624$	$[0, 0, 1, 26901, -970090]$	\(y^2+y=x^3+26901x-970090\)	38.2.0.a.1	$[(246, 4531)]$
478325.o1	478325o1	478325.o	478325o	$1$	$1$	\( 5^{2} \cdot 19^{2} \cdot 53 \)	\( - 5^{6} \cdot 19^{9} \cdot 53^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$4$	$2$	$0$	$10730880$	$2.362846$	$25102282752/19266931$	$0.88962$	$3.92027$	$[0, 0, 1, 550525, 89810031]$	\(y^2+y=x^3+550525x+89810031\)	38.2.0.a.1	$[]$
480339.l1	480339l1	480339.l	480339l	$1$	$1$	\( 3^{2} \cdot 19 \cdot 53^{2} \)	\( - 3^{6} \cdot 19^{3} \cdot 53^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$5.704670168$	$1$		$0$	$24800256$	$2.620361$	$25102282752/19266931$	$0.88962$	$4.15522$	$[0, 0, 1, 1542141, 421061375]$	\(y^2+y=x^3+1542141x+421061375\)	38.2.0.a.1	$[(-61215/16, 25455919/16)]$